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Hyperreal Dispatch Trace

Generated by running cargo bench --bench dispatch_trace --features dispatch-trace. This runner samples dispatch paths directly and does not execute Criterion timing loops or update benchmarks.md. Pass row-name substrings after -- to trace a subset, for example cargo bench --bench dispatch_trace --features dispatch-trace -- computable/trig_adversarial/sin_1e30.

Correlation Summary

This table groups raw trace labels into Yap-aligned diagnostic buckets so scalar, predicate, and linear-algebra reports can be compared without losing raw path detail.

Trace Row Dispatch Predicate Linear Algebra Object Facts Scalar Facts Detailed Facts Unknown Facts Rational Kinds Sign/Zero Queries Exact Reducers Approximation Approx Starts Approx Cache Refinement Predicate Stages Cache Fallback/Abort Rational Temps Rational Reductions Rational GCDs
computable/basic_transcendentals 25 0 0 1 0 0 0 2 1 18 1 1 0 0 0 0 1 30 12 11
computable/compare/exact_msd_gap 6 0 0 0 0 0 0 0 3 4 0 0 0 0 0 1 0 1 0 0
computable/compare/exact_rational 4 0 0 0 0 0 0 2 2 4 0 0 0 0 0 0 0 2 2 2
computable/compare/opposite_sign 6 0 0 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0
computable/compare_absolute/dominant_add 9 0 0 0 0 0 0 0 2 1 0 0 0 0 0 3 0 9 6 7
computable/compare_absolute/exact_msd_gap 5 0 0 0 0 0 0 0 2 3 0 0 0 0 0 1 0 1 0 0
computable/compare_absolute/exact_rational 5 0 0 0 0 0 0 3 3 5 0 0 0 0 0 0 0 2 2 2
computable/compare_absolute/exact_rational_same_numerator 4 0 0 0 0 0 0 2 2 4 0 0 0 0 0 0 0 4 2 1
computable/constants 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
computable/exp_cached_probe 2 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1
computable/exp_large_rational 11 0 0 1 0 0 0 0 0 8 0 0 0 0 0 0 0 31 13 15
computable/inverse_hyperbolic_adversarial/acosh_large 6 0 0 0 0 0 0 1 0 3 0 0 0 0 0 0 1 7 1 0
computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny 8 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 1 7 2 4
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two 13 0 0 0 0 0 0 0 0 4 0 0 0 0 0 1 2 15 4 4
computable/inverse_hyperbolic_adversarial/acosh_two 13 0 0 0 0 0 0 0 0 6 0 0 0 0 0 1 2 15 4 6
computable/inverse_hyperbolic_adversarial/asinh_large 8 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 1 5 1 0
computable/inverse_hyperbolic_adversarial/asinh_large_negative 10 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 1 5 1 0
computable/inverse_hyperbolic_adversarial/asinh_mid 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0
computable/inverse_hyperbolic_adversarial/asinh_tiny 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0
computable/inverse_hyperbolic_adversarial/atanh_mid 4 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0
computable/inverse_hyperbolic_adversarial/atanh_near_minus_one 7 0 0 0 0 0 0 1 0 6 1 1 0 0 0 0 0 9 1 1
computable/inverse_hyperbolic_adversarial/atanh_near_one 5 0 0 0 0 0 0 1 0 4 1 1 0 0 0 0 0 9 1 1
computable/inverse_hyperbolic_adversarial/atanh_tiny 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0
computable/inverse_trig 10 0 0 0 0 0 0 0 0 7 0 0 0 0 0 1 0 1 1 0
computable/inverse_trig/mid-domain 24 0 0 0 0 0 0 3 0 18 5 5 0 0 0 2 0 34 13 8
computable/inverse_trig_adversarial/acos_mid 3 0 0 0 0 0 0 0 0 3 1 1 0 0 0 0 0 7 2 1
computable/inverse_trig_adversarial/acos_near_minus_one 5 0 0 0 0 0 0 0 0 3 1 1 0 0 0 1 0 7 2 1
computable/inverse_trig_adversarial/acos_near_one 3 0 0 0 0 0 0 0 0 3 1 1 0 0 0 0 0 7 2 1
computable/inverse_trig_adversarial/acos_tiny 5 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0
computable/inverse_trig_adversarial/acos_zero 3 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0
computable/inverse_trig_adversarial/asin_mid 6 0 0 0 0 0 0 0 0 4 1 1 0 0 0 1 0 7 2 1
computable/inverse_trig_adversarial/asin_near_minus_one 8 0 0 0 0 0 0 0 0 5 1 1 0 0 0 1 0 7 2 1
computable/inverse_trig_adversarial/asin_near_one 6 0 0 0 0 0 0 0 0 3 1 1 0 0 0 1 0 7 2 1
computable/inverse_trig_adversarial/asin_tiny 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0
computable/inverse_trig_adversarial/asin_zero 2 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 1 0 0
computable/inverse_trig_adversarial/atan_generated_783_412 6 0 0 0 0 0 0 2 0 3 2 2 0 0 0 1 0 1 1 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 8 0 0 0 0 0 0 2 0 4 2 2 0 0 0 1 0 1 1 1
computable/inverse_trig_adversarial/atan_huge 6 0 0 0 0 0 0 2 0 3 2 2 0 0 0 1 0 0 0 0
computable/inverse_trig_adversarial/atan_large 6 0 0 0 0 0 0 2 0 3 2 2 0 0 0 1 0 0 0 0
computable/inverse_trig_adversarial/atan_mid 6 0 0 0 0 0 0 2 0 3 2 2 0 0 0 1 0 1 1 1
computable/inverse_trig_adversarial/atan_tiny 3 0 0 0 0 0 0 2 0 3 1 1 0 0 0 0 0 0 0 0
computable/inverse_trig_adversarial/atan_zero 2 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 1 0 0
computable/ln_nonsmooth_rational 3 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 3 1 2
computable/ln_smooth_rational 26 0 0 0 0 0 0 3 1 11 3 3 0 0 0 0 0 17 1 1
computable/ln_square_plus_one_promoted_generated_677_222 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 6 2 2
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 12 0 0 0 0 0 0 2 0 5 2 2 0 0 0 3 0 5 3 2
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 12 0 0 0 0 0 0 2 0 5 2 2 0 0 0 3 0 5 3 2
computable/promoted_library_slow/cos_generated_16610_pos_7_4_19 6 0 0 0 0 0 0 0 0 3 1 1 0 0 0 1 0 3 1 2
computable/promoted_library_slow/cos_generated_9365_pos_7_14_139 6 0 0 0 0 0 0 0 0 3 1 1 0 0 0 1 0 4 2 2
computable/promoted_library_slow/ln_generated_10732_pos_6_6_137 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 3
computable/promoted_library_slow/ln_generated_11317_neg_8_21_53 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 3
computable/promoted_library_slow/ln_generated_11497_pos_1_137_564 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 2
computable/promoted_library_slow/ln_generated_14377_neg_1_189_764 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 3
computable/promoted_library_slow/ln_generated_14947_pos_3_11_222 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 3
computable/promoted_library_slow/ln_generated_15472_neg_3_13_50 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 3
computable/promoted_library_slow/ln_generated_16417_pos_41_241 5 0 0 0 0 0 0 1 0 4 0 0 0 0 0 0 0 5 2 2
computable/promoted_library_slow/ln_generated_17797_pos_1_328_503 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 9 2 2
computable/promoted_library_slow/ln_generated_18352_neg_1_133_500 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 3
computable/promoted_library_slow/ln_generated_7447_pos_1_53_76 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 9 2 2
computable/promoted_library_slow/ln_generated_7642_neg_1_25_36 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 9 2 3
computable/promoted_library_slow/ln_generated_9457_neg_3_23_90 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 8 2 3
computable/promoted_library_slow/ln_generated_9862_neg_1_221_492 7 0 0 0 0 0 0 1 0 5 1 1 0 0 0 0 0 9 2 3
computable/promoted_library_slow/sin_generated_10834_pos_4_34_61 6 0 0 0 0 0 0 0 0 3 1 1 0 0 0 1 0 3 1 2
computable/promoted_library_slow/sin_generated_11359_pos_4_66_139 6 0 0 0 0 0 0 0 0 3 1 1 0 0 0 1 0 3 1 2
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 9 0 0 0 0 0 0 0 0 4 2 2 0 0 0 2 0 3 1 2
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 9 0 0 0 0 0 0 0 0 4 2 2 0 0 0 2 0 5 2 3
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 11 0 0 0 0 0 0 0 0 5 4 4 0 0 0 2 0 5 2 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 11 0 0 0 0 0 0 0 0 5 4 4 0 0 0 2 0 5 2 2
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 11 0 0 0 0 0 0 0 0 5 4 4 0 0 0 2 0 3 1 2
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 9 0 0 0 0 0 0 0 0 4 2 2 0 0 0 2 0 4 2 3
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 11 0 0 0 0 0 0 0 0 4 4 4 0 0 0 2 0 3 1 2
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 9 0 0 0 0 0 0 0 0 4 2 2 0 0 0 2 0 4 2 2
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 10 0 0 0 0 0 0 0 0 5 3 3 0 0 0 2 0 3 1 2
computable/sign/deep_half_product_sign_cached 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0
computable/sign/deep_scaled_product_sign 203 0 0 0 0 0 0 0 1 201 0 0 0 0 0 2 0 200 200 0
computable/sign/deep_scaled_product_sign_cached 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0
computable/sign/deep_scaled_product_sign_until 203 0 0 0 0 0 0 0 1 201 0 0 0 0 0 2 0 200 200 0
computable/sign/exp_unknown_sign_arg 5 0 0 1 0 0 0 0 1 1 0 0 0 0 0 2 0 9 4 4
computable/sign/exp_unknown_sign_arg_cached 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0
computable/sign/perturbed_scaled_product_sign 204 0 0 0 0 0 0 0 1 202 0 0 0 0 0 2 0 209 206 6
computable/sign/pi_minus_one 5 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 0 9 4 6
computable/sign/pi_minus_one_cached 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0
computable/sign/pi_minus_one_sign_until 5 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 0 9 4 6
computable/sqrt_squarefree_rational 6 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 2 0 0
computable/trig 9 0 0 0 0 0 0 0 0 5 0 0 0 0 0 2 0 1 1 0
computable/trig/large 17 0 0 0 0 0 0 0 0 5 0 0 0 0 0 6 0 6 2 2
computable/trig/large-exact-rational 56 0 0 0 0 0 0 0 0 16 2 2 0 0 0 20 0 5 1 1
computable/trig_adversarial/cos_1e30 8 0 0 0 0 0 0 0 0 2 0 0 0 0 0 3 0 0 0 0
computable/trig_adversarial/cos_1e6 8 0 0 0 0 0 0 0 0 2 0 0 0 0 0 3 0 0 0 0
computable/trig_adversarial/cos_f64_exact 4 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0
computable/trig_adversarial/cos_huge_pi_plus_offset 6 0 0 0 0 0 0 0 0 4 0 0 0 0 0 1 0 3 1 0
computable/trig_adversarial/cos_medium 4 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0
computable/trig_adversarial/cos_tiny 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
computable/trig_adversarial/sin_1e30 8 0 0 0 0 0 0 0 0 2 0 0 0 0 0 3 0 0 0 0
computable/trig_adversarial/sin_1e6 8 0 0 0 0 0 0 0 0 2 0 0 0 0 0 3 0 0 0 0
computable/trig_adversarial/sin_f64_exact 4 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0
computable/trig_adversarial/sin_huge_pi_plus_offset 6 0 0 0 0 0 0 0 0 4 0 0 0 0 0 1 0 3 1 0
computable/trig_adversarial/sin_medium 4 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0
computable/trig_adversarial/sin_tiny 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
computable/trig_adversarial/tan_1e30 11 0 0 0 0 0 0 0 0 3 1 1 0 0 0 4 0 0 0 0
computable/trig_adversarial/tan_1e6 11 0 0 0 0 0 0 0 0 3 1 1 0 0 0 4 0 0 0 0
computable/trig_adversarial/tan_huge_pi_plus_offset 6 0 0 0 0 0 0 0 0 4 0 0 0 0 0 1 0 3 1 0
computable/trig_adversarial/tan_medium 4 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0
computable/trig_adversarial/tan_near_half_pi 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0
computable/trig_adversarial/tan_promoted_generated_604_125 8 0 0 0 0 0 0 0 0 3 2 2 0 0 0 2 0 0 0 0
computable/trig_adversarial/tan_tiny 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
real/arithmetic/exact 7 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 6 2 3
real/constants 17 0 0 0 1 0 0 0 1 0 0 0 0 0 0 9 0 6 0 0
real/div/const_product_sqrt_over_e 33 0 0 0 1 0 0 0 1 5 0 0 0 0 0 13 2 6 2 0
real/div/div_const_product_sqrt 40 0 0 0 2 0 0 0 2 10 0 0 0 0 0 12 4 10 3 0
real/div/div_const_products 22 0 0 1 0 0 0 0 0 1 0 0 0 0 0 11 0 2 0 0
real/div/rational_over_symbolic 15 0 0 1 0 0 0 0 0 4 0 0 0 0 0 5 0 3 1 0
real/div/sqrt_two_over_sqrt_three 15 0 0 0 2 0 0 0 2 10 0 0 0 0 0 1 4 6 1 1
real/dot_product/active_dot3_dense_symbolic 37 0 0 0 0 0 0 0 0 6 0 0 0 0 0 18 0 17 9 2
real/dot_product/active_dot4_dense_symbolic 47 0 0 0 0 0 0 0 0 12 0 0 0 0 0 20 0 22 11 2
real/dot_product/dot3_all_zero 12 0 0 0 4 0 0 0 4 1 0 0 0 0 0 4 0 5 0 0
real/dot_product/dot3_dense_symbolic 37 0 0 0 0 0 0 0 0 6 0 0 0 0 0 18 1 17 9 2
real/dot_product/dot3_mixed_structural 15 0 0 0 1 0 0 0 1 4 0 0 0 0 0 5 0 8 3 3
real/dot_product/dot4_dense_symbolic 47 0 0 0 0 0 0 0 0 12 0 0 0 0 0 20 0 22 11 2
real/dot_product/dot4_mixed_structural 20 0 0 0 2 0 0 0 2 5 0 0 0 0 0 6 0 20 8 8
real/geometry_polynomial_substrate 181 0 0 2 28 0 0 13 24 94 0 0 0 0 0 30 4 133 70 50
real/hyperbolic_log_exp 17 0 0 1 4 0 0 1 5 13 0 0 0 0 0 0 0 6 1 0
real/inverse/inverse_generic 11 0 0 0 1 0 0 0 1 8 0 0 0 0 0 0 2 4 1 1
real/inverse_hyperbolic/exact_rational 31 0 0 0 9 0 0 0 11 20 0 0 0 0 0 0 0 9 5 2
real/inverse_hyperbolic/sqrt 18 0 0 0 3 0 0 0 3 10 0 0 0 0 0 2 2 6 2 0
real/inverse_trig 35 0 0 0 7 0 0 0 7 27 0 0 0 0 0 2 2 9 18 0
real/inverse_trig/exact 35 0 0 0 5 0 0 0 5 17 0 0 0 0 0 10 2 9 8 2
real/inverse_trig/mid-domain 26 0 0 0 5 0 0 2 5 22 0 0 0 0 0 1 2 17 19 5
real/log/scaled_e 13 0 0 0 1 0 0 0 1 3 0 0 0 0 0 3 0 23 9 8
real/normal_scientific_substrate 473 0 0 17 58 1 0 10 97 289 0 0 0 0 0 43 38 298 121 45
real/pow/small_integer_exponent 4 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 2 1 1
real/pow/symbolic_negative_one 17 0 0 1 3 0 0 0 3 4 0 0 0 0 0 5 0 0 0 0
real/sqrt_scaled_exp 10 0 0 1 2 0 0 0 2 7 0 0 0 0 0 0 2 5 1 0
real/sqrt_scaled_rational 5 0 0 0 1 0 0 0 1 2 0 0 0 0 0 0 0 3 0 0
real/stable_scalar_substrate 119 0 0 5 14 0 0 10 14 85 0 0 0 0 0 0 5 99 40 44
real/structural_queries 11 0 0 1 2 0 0 0 3 3 0 0 0 0 0 5 0 13 4 6
real/trig/general 13 0 0 0 3 0 0 0 3 13 0 0 0 0 0 0 0 5 2 0
real/trig/large 7 0 0 0 2 0 0 0 2 7 0 0 0 0 0 0 0 3 0 0
real/trig/large-exact-rational 22 0 0 0 6 0 0 0 6 22 0 0 0 0 0 0 0 8 0 0

Dispatch Paths

Trace Row Layer Operation Path Count
computable/basic_transcendentals computable constructor rational-node 14
computable/basic_transcendentals computable constructor shared-constant-wrapper 3
computable/basic_transcendentals computable constructor shared-log-constant-probe 1
computable/basic_transcendentals computable constructor zero 1
computable/basic_transcendentals computable exp structural-small-prescaled 1
computable/basic_transcendentals computable ln dyadic-scale-rewrite 1
computable/basic_transcendentals computable ln exact-rational-binary-scaled-ln1p 1
computable/basic_transcendentals computable ln smooth-rational-shared-log-sum 1
computable/basic_transcendentals computable sqrt generic-sqrt-node 1
computable/basic_transcendentals computable_approx ln binary-scaled-rational 1
computable/compare/exact_msd_gap computable compare_to exact-sign-msd-gap 3
computable/compare/exact_msd_gap computable constructor cached-pi 1
computable/compare/exact_msd_gap computable constructor rational-node 1
computable/compare/exact_msd_gap computable constructor shared-constant-wrapper 1
computable/compare/exact_rational computable compare_to exact-rational 2
computable/compare/exact_rational computable constructor rational-node 2
computable/compare/opposite_sign computable compare_to exact-sign-opposite 2
computable/compare/opposite_sign computable constructor cached-pi 2
computable/compare/opposite_sign computable constructor shared-constant-wrapper 2
computable/compare_absolute/dominant_add computable compare_absolute dominant-perturbation-other 1
computable/compare_absolute/dominant_add computable compare_absolute dominant-perturbation-self 1
computable/compare_absolute/dominant_add computable constructor cached-pi 3
computable/compare_absolute/dominant_add computable constructor rational-node 1
computable/compare_absolute/dominant_add computable constructor shared-constant-wrapper 3
computable/compare_absolute/exact_msd_gap computable compare_absolute exact-sign-msd-gap 2
computable/compare_absolute/exact_msd_gap computable constructor cached-pi 1
computable/compare_absolute/exact_msd_gap computable constructor rational-node 1
computable/compare_absolute/exact_msd_gap computable constructor shared-constant-wrapper 1
computable/compare_absolute/exact_rational computable compare_absolute exact-rational 3
computable/compare_absolute/exact_rational computable constructor rational-node 2
computable/compare_absolute/exact_rational_same_numerator computable compare_absolute exact-rational 2
computable/compare_absolute/exact_rational_same_numerator computable constructor rational-node 2
computable/constants computable constructor cached-e 1
computable/constants computable constructor cached-e-internal 1
computable/constants computable constructor cached-pi 1
computable/constants computable constructor cached-tau 1
computable/constants computable constructor shared-constant-wrapper 3
computable/exp_cached_probe computable constructor rational-node 1
computable/exp_cached_probe computable exp structural-small-prescaled 1
computable/exp_large_rational computable constructor rational-node 8
computable/exp_large_rational computable constructor shared-constant-wrapper 1
computable/exp_large_rational computable exp ln2-range-reduction 1
computable/exp_large_rational computable exp structural-large-range-reduction 1
computable/inverse_hyperbolic_adversarial/acosh_large computable acosh exact-rational-at-least-two-direct-radicand 1
computable/inverse_hyperbolic_adversarial/acosh_large computable constructor rational-node 1
computable/inverse_hyperbolic_adversarial/acosh_large computable constructor shared-constant-wrapper 1
computable/inverse_hyperbolic_adversarial/acosh_large computable ln binary-scale-reduction 1
computable/inverse_hyperbolic_adversarial/acosh_large computable ln prescaled-ln1p-kernel 1
computable/inverse_hyperbolic_adversarial/acosh_large computable sqrt generic-sqrt-node 1
computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny computable acosh near-one-ln1p-transform 1
computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny computable constructor one 1
computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny computable constructor rational-node 5
computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny computable sqrt generic-sqrt-node 1
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable acosh sqrt-two-asinh-one 1
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable constructor cached-asinh1 1
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable constructor one 1
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable constructor rational-node 3
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable constructor shared-constant-wrapper 2
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable constructor shared-sqrt-constant-probe 1
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable ln prescaled-ln1p-kernel 1
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable ln sqrt-range-reduction 1
computable/inverse_hyperbolic_adversarial/acosh_sqrt_two computable sqrt generic-sqrt-node 2
computable/inverse_hyperbolic_adversarial/acosh_two computable acosh exact-two-constant 1
computable/inverse_hyperbolic_adversarial/acosh_two computable constructor cached-acosh2 1
computable/inverse_hyperbolic_adversarial/acosh_two computable constructor rational-node 4
computable/inverse_hyperbolic_adversarial/acosh_two computable constructor shared-constant-wrapper 2
computable/inverse_hyperbolic_adversarial/acosh_two computable constructor shared-sqrt-constant-probe 1
computable/inverse_hyperbolic_adversarial/acosh_two computable ln prescaled-ln1p-kernel 1
computable/inverse_hyperbolic_adversarial/acosh_two computable ln sqrt-range-reduction 1
computable/inverse_hyperbolic_adversarial/acosh_two computable sqrt generic-sqrt-node 2
computable/inverse_hyperbolic_adversarial/asinh_large computable asinh exact-large-direct-ln-sqrt 1
computable/inverse_hyperbolic_adversarial/asinh_large computable constructor one 1
computable/inverse_hyperbolic_adversarial/asinh_large computable constructor rational-node 2
computable/inverse_hyperbolic_adversarial/asinh_large computable constructor shared-constant-wrapper 1
computable/inverse_hyperbolic_adversarial/asinh_large computable ln binary-scale-reduction 1
computable/inverse_hyperbolic_adversarial/asinh_large computable ln prescaled-ln1p-kernel 1
computable/inverse_hyperbolic_adversarial/asinh_large computable sqrt generic-sqrt-node 1
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable asinh exact-large-direct-ln-sqrt 1
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable asinh known-negative-symmetry 1
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable constructor one 1
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable constructor rational-node 3
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable constructor shared-constant-wrapper 1
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable ln binary-scale-reduction 1
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable ln prescaled-ln1p-kernel 1
computable/inverse_hyperbolic_adversarial/asinh_large_negative computable sqrt generic-sqrt-node 1
computable/inverse_hyperbolic_adversarial/asinh_mid computable asinh exact-small-rational-series 1
computable/inverse_hyperbolic_adversarial/asinh_mid computable constructor asinh-rational-deferred 1
computable/inverse_hyperbolic_adversarial/asinh_tiny computable asinh exact-small-rational-series 1
computable/inverse_hyperbolic_adversarial/asinh_tiny computable constructor asinh-rational-deferred 1
computable/inverse_hyperbolic_adversarial/atanh_mid computable atanh exact-half-ln3 1
computable/inverse_hyperbolic_adversarial/atanh_mid computable constructor rational-node 1
computable/inverse_hyperbolic_adversarial/atanh_mid computable constructor shared-constant-wrapper 1
computable/inverse_hyperbolic_adversarial/atanh_mid computable constructor shared-log-constant-probe 1
computable/inverse_hyperbolic_adversarial/atanh_near_minus_one computable atanh exact-log-ratio 1
computable/inverse_hyperbolic_adversarial/atanh_near_minus_one computable atanh exact-negative-symmetry 1
computable/inverse_hyperbolic_adversarial/atanh_near_minus_one computable constructor rational-node 2
computable/inverse_hyperbolic_adversarial/atanh_near_minus_one computable constructor shared-constant-wrapper 1
computable/inverse_hyperbolic_adversarial/atanh_near_minus_one computable ln exact-rational-binary-scaled-ln1p 1
computable/inverse_hyperbolic_adversarial/atanh_near_minus_one computable_approx ln binary-scaled-rational 1
computable/inverse_hyperbolic_adversarial/atanh_near_one computable atanh exact-log-ratio 1
computable/inverse_hyperbolic_adversarial/atanh_near_one computable constructor rational-node 1
computable/inverse_hyperbolic_adversarial/atanh_near_one computable constructor shared-constant-wrapper 1
computable/inverse_hyperbolic_adversarial/atanh_near_one computable ln exact-rational-binary-scaled-ln1p 1
computable/inverse_hyperbolic_adversarial/atanh_near_one computable_approx ln binary-scaled-rational 1
computable/inverse_hyperbolic_adversarial/atanh_tiny computable atanh exact-tiny-prescaled 1
computable/inverse_hyperbolic_adversarial/atanh_tiny computable constructor atanh-rational-deferred 1
computable/inverse_trig computable acos tiny-via-asin 1
computable/inverse_trig computable asin exact-tiny-rational-series 2
computable/inverse_trig computable atanh exact-tiny-prescaled 1
computable/inverse_trig computable constructor asin-rational-deferred 2
computable/inverse_trig computable constructor atanh-rational-deferred 1
computable/inverse_trig computable constructor cached-pi 1
computable/inverse_trig computable constructor rational-node 1
computable/inverse_trig computable constructor shared-constant-wrapper 1
computable/inverse_trig/mid-domain computable acos positive-rational-deferred 2
computable/inverse_trig/mid-domain computable asin positive-rational-via-acos 1
computable/inverse_trig/mid-domain computable atan exact-rational-deferred 1
computable/inverse_trig/mid-domain computable atanh exact-log-ratio 1
computable/inverse_trig/mid-domain computable constructor acos-positive-rational-deferred 2
computable/inverse_trig/mid-domain computable constructor atan-rational-deferred 1
computable/inverse_trig/mid-domain computable constructor cached-pi 2
computable/inverse_trig/mid-domain computable constructor rational-node 5
computable/inverse_trig/mid-domain computable constructor shared-constant-wrapper 3
computable/inverse_trig/mid-domain computable ln exact-rational-binary-scaled-ln1p 1
computable/inverse_trig/mid-domain computable_approx acos small-rational-residual 2
computable/inverse_trig/mid-domain computable_approx atan exact-rational-reduction 1
computable/inverse_trig/mid-domain computable_approx atan unit-anchor-pi-quarter 1
computable/inverse_trig/mid-domain computable_approx ln binary-scaled-rational 1
computable/inverse_trig_adversarial/acos_mid computable acos positive-rational-deferred 1
computable/inverse_trig_adversarial/acos_mid computable constructor acos-positive-rational-deferred 1
computable/inverse_trig_adversarial/acos_mid computable_approx acos small-rational-residual 1
computable/inverse_trig_adversarial/acos_near_minus_one computable acos negative-rational-deferred 1
computable/inverse_trig_adversarial/acos_near_minus_one computable constructor acos-negative-rational-deferred 1
computable/inverse_trig_adversarial/acos_near_minus_one computable constructor cached-pi 1
computable/inverse_trig_adversarial/acos_near_minus_one computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/acos_near_minus_one computable_approx acos small-rational-residual 1
computable/inverse_trig_adversarial/acos_near_one computable acos positive-rational-deferred 1
computable/inverse_trig_adversarial/acos_near_one computable constructor acos-positive-rational-deferred 1
computable/inverse_trig_adversarial/acos_near_one computable_approx acos small-rational-residual 1
computable/inverse_trig_adversarial/acos_tiny computable acos tiny-via-asin 1
computable/inverse_trig_adversarial/acos_tiny computable asin exact-tiny-rational-series 1
computable/inverse_trig_adversarial/acos_tiny computable constructor asin-rational-deferred 1
computable/inverse_trig_adversarial/acos_tiny computable constructor cached-pi 1
computable/inverse_trig_adversarial/acos_tiny computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/acos_zero computable acos exact-zero-half-pi 1
computable/inverse_trig_adversarial/acos_zero computable constructor cached-pi 1
computable/inverse_trig_adversarial/acos_zero computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/asin_mid computable acos positive-rational-deferred 1
computable/inverse_trig_adversarial/asin_mid computable asin positive-rational-via-acos 1
computable/inverse_trig_adversarial/asin_mid computable constructor acos-positive-rational-deferred 1
computable/inverse_trig_adversarial/asin_mid computable constructor cached-pi 1
computable/inverse_trig_adversarial/asin_mid computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/asin_mid computable_approx acos small-rational-residual 1
computable/inverse_trig_adversarial/asin_near_minus_one computable acos positive-rational-deferred 1
computable/inverse_trig_adversarial/asin_near_minus_one computable asin endpoint-via-acos 1
computable/inverse_trig_adversarial/asin_near_minus_one computable asin exact-negative-symmetry 1
computable/inverse_trig_adversarial/asin_near_minus_one computable constructor acos-positive-rational-deferred 1
computable/inverse_trig_adversarial/asin_near_minus_one computable constructor cached-pi 1
computable/inverse_trig_adversarial/asin_near_minus_one computable constructor rational-node 1
computable/inverse_trig_adversarial/asin_near_minus_one computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/asin_near_minus_one computable_approx acos small-rational-residual 1
computable/inverse_trig_adversarial/asin_near_one computable acos positive-rational-deferred 1
computable/inverse_trig_adversarial/asin_near_one computable asin endpoint-via-acos 1
computable/inverse_trig_adversarial/asin_near_one computable constructor acos-positive-rational-deferred 1
computable/inverse_trig_adversarial/asin_near_one computable constructor cached-pi 1
computable/inverse_trig_adversarial/asin_near_one computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/asin_near_one computable_approx acos small-rational-residual 1
computable/inverse_trig_adversarial/asin_tiny computable asin exact-tiny-rational-series 1
computable/inverse_trig_adversarial/asin_tiny computable constructor asin-rational-deferred 1
computable/inverse_trig_adversarial/asin_zero computable asin exact-zero 1
computable/inverse_trig_adversarial/asin_zero computable constructor zero 1
computable/inverse_trig_adversarial/atan_generated_783_412 computable atan exact-rational-deferred 1
computable/inverse_trig_adversarial/atan_generated_783_412 computable constructor atan-rational-deferred 1
computable/inverse_trig_adversarial/atan_generated_783_412 computable constructor cached-atan2 1
computable/inverse_trig_adversarial/atan_generated_783_412 computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/atan_generated_783_412 computable_approx atan exact-rational-reduction 1
computable/inverse_trig_adversarial/atan_generated_783_412 computable_approx atan two-anchor-shared 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable atan exact-rational-deferred 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable atan known-negative-symmetry 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable constructor atan-rational-deferred 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable constructor cached-atan-three-halves 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable constructor rational-node 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable_approx atan exact-rational-reduction 1
computable/inverse_trig_adversarial/atan_generated_minus_32_19 computable_approx atan three-halves-anchor-shared 1
computable/inverse_trig_adversarial/atan_huge computable atan exact-rational-deferred 1
computable/inverse_trig_adversarial/atan_huge computable constructor atan-rational-deferred 1
computable/inverse_trig_adversarial/atan_huge computable constructor cached-pi 1
computable/inverse_trig_adversarial/atan_huge computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/atan_huge computable_approx atan exact-rational-reduction 1
computable/inverse_trig_adversarial/atan_huge computable_approx atan large-integer-reciprocal 1
computable/inverse_trig_adversarial/atan_large computable atan exact-rational-deferred 1
computable/inverse_trig_adversarial/atan_large computable constructor atan-rational-deferred 1
computable/inverse_trig_adversarial/atan_large computable constructor cached-pi 1
computable/inverse_trig_adversarial/atan_large computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/atan_large computable_approx atan exact-rational-reduction 1
computable/inverse_trig_adversarial/atan_large computable_approx atan large-integer-reciprocal 1
computable/inverse_trig_adversarial/atan_mid computable atan exact-rational-deferred 1
computable/inverse_trig_adversarial/atan_mid computable constructor atan-rational-deferred 1
computable/inverse_trig_adversarial/atan_mid computable constructor cached-pi 1
computable/inverse_trig_adversarial/atan_mid computable constructor shared-constant-wrapper 1
computable/inverse_trig_adversarial/atan_mid computable_approx atan exact-rational-reduction 1
computable/inverse_trig_adversarial/atan_mid computable_approx atan unit-anchor-pi-quarter 1
computable/inverse_trig_adversarial/atan_tiny computable atan exact-rational-deferred 1
computable/inverse_trig_adversarial/atan_tiny computable constructor atan-rational-deferred 1
computable/inverse_trig_adversarial/atan_tiny computable_approx atan exact-rational-reduction 1
computable/inverse_trig_adversarial/atan_zero computable atan exact-zero 1
computable/inverse_trig_adversarial/atan_zero computable constructor zero 1
computable/ln_nonsmooth_rational computable constructor rational-node 2
computable/ln_nonsmooth_rational computable ln prescaled-ln1p-kernel 1
computable/ln_smooth_rational computable constructor one 3
computable/ln_smooth_rational computable constructor rational-node 4
computable/ln_smooth_rational computable constructor shared-constant-wrapper 7
computable/ln_smooth_rational computable constructor shared-log-constant-probe 4
computable/ln_smooth_rational computable constructor zero 1
computable/ln_smooth_rational computable ln exact-rational-binary-scaled-ln1p 3
computable/ln_smooth_rational computable ln smooth-rational-shared-log-sum 1
computable/ln_smooth_rational computable_approx ln binary-scaled-rational 3
computable/ln_square_plus_one_promoted_generated_677_222 computable constructor one 1
computable/ln_square_plus_one_promoted_generated_677_222 computable constructor rational-node 3
computable/ln_square_plus_one_promoted_generated_677_222 computable constructor shared-constant-wrapper 1
computable/ln_square_plus_one_promoted_generated_677_222 computable ln exact-rational-binary-scaled-ln1p 1
computable/ln_square_plus_one_promoted_generated_677_222 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable atan exact-rational-deferred 1
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable constructor atan-rational-deferred 1
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable constructor cached-atan-inv2 1
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable constructor cached-atan2 1
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable constructor cached-pi 1
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable constructor rational-node 2
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable constructor shared-constant-wrapper 3
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable_approx atan exact-rational-reduction 1
computable/promoted_library_slow/atan_generated_10704_pos_1_371_412 computable_approx atan two-anchor-shared 1
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable atan exact-rational-deferred 1
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable constructor atan-rational-deferred 1
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable constructor cached-atan-inv5 1
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable constructor cached-atan-three-halves 1
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable constructor cached-pi 1
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable constructor rational-node 2
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable constructor shared-constant-wrapper 3
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable_approx atan exact-rational-reduction 1
computable/promoted_library_slow/atan_generated_11034_pos_1_367_518 computable_approx atan three-halves-anchor-shared 1
computable/promoted_library_slow/cos_generated_16610_pos_7_4_19 computable constructor cached-pi 1
computable/promoted_library_slow/cos_generated_16610_pos_7_4_19 computable constructor cos-large-rational-deferred 1
computable/promoted_library_slow/cos_generated_16610_pos_7_4_19 computable constructor rational-node 1
computable/promoted_library_slow/cos_generated_16610_pos_7_4_19 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/cos_generated_16610_pos_7_4_19 computable cos large-rational-deferred 1
computable/promoted_library_slow/cos_generated_16610_pos_7_4_19 computable_approx trig fixed-half-pi-multiple-5 1
computable/promoted_library_slow/cos_generated_9365_pos_7_14_139 computable constructor cached-pi 1
computable/promoted_library_slow/cos_generated_9365_pos_7_14_139 computable constructor cos-large-rational-deferred 1
computable/promoted_library_slow/cos_generated_9365_pos_7_14_139 computable constructor rational-node 1
computable/promoted_library_slow/cos_generated_9365_pos_7_14_139 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/cos_generated_9365_pos_7_14_139 computable cos large-rational-deferred 1
computable/promoted_library_slow/cos_generated_9365_pos_7_14_139 computable_approx trig fixed-half-pi-multiple-5 1
computable/promoted_library_slow/ln_generated_10732_pos_6_6_137 computable constructor one 1
computable/promoted_library_slow/ln_generated_10732_pos_6_6_137 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_10732_pos_6_6_137 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_10732_pos_6_6_137 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_10732_pos_6_6_137 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_11317_neg_8_21_53 computable constructor one 1
computable/promoted_library_slow/ln_generated_11317_neg_8_21_53 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_11317_neg_8_21_53 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_11317_neg_8_21_53 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_11317_neg_8_21_53 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_11497_pos_1_137_564 computable constructor one 1
computable/promoted_library_slow/ln_generated_11497_pos_1_137_564 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_11497_pos_1_137_564 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_11497_pos_1_137_564 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_11497_pos_1_137_564 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_14377_neg_1_189_764 computable constructor one 1
computable/promoted_library_slow/ln_generated_14377_neg_1_189_764 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_14377_neg_1_189_764 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_14377_neg_1_189_764 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_14377_neg_1_189_764 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_14947_pos_3_11_222 computable constructor one 1
computable/promoted_library_slow/ln_generated_14947_pos_3_11_222 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_14947_pos_3_11_222 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_14947_pos_3_11_222 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_14947_pos_3_11_222 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_15472_neg_3_13_50 computable constructor one 1
computable/promoted_library_slow/ln_generated_15472_neg_3_13_50 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_15472_neg_3_13_50 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_15472_neg_3_13_50 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_15472_neg_3_13_50 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_16417_pos_41_241 computable constructor one 1
computable/promoted_library_slow/ln_generated_16417_pos_41_241 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_16417_pos_41_241 computable ln exact-rational-direct-ln1p 1
computable/promoted_library_slow/ln_generated_17797_pos_1_328_503 computable constructor one 1
computable/promoted_library_slow/ln_generated_17797_pos_1_328_503 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_17797_pos_1_328_503 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_17797_pos_1_328_503 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_17797_pos_1_328_503 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_18352_neg_1_133_500 computable constructor one 1
computable/promoted_library_slow/ln_generated_18352_neg_1_133_500 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_18352_neg_1_133_500 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_18352_neg_1_133_500 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_18352_neg_1_133_500 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_7447_pos_1_53_76 computable constructor one 1
computable/promoted_library_slow/ln_generated_7447_pos_1_53_76 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_7447_pos_1_53_76 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_7447_pos_1_53_76 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_7447_pos_1_53_76 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_7642_neg_1_25_36 computable constructor one 1
computable/promoted_library_slow/ln_generated_7642_neg_1_25_36 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_7642_neg_1_25_36 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_7642_neg_1_25_36 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_7642_neg_1_25_36 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_9457_neg_3_23_90 computable constructor one 1
computable/promoted_library_slow/ln_generated_9457_neg_3_23_90 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_9457_neg_3_23_90 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_9457_neg_3_23_90 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_9457_neg_3_23_90 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/ln_generated_9862_neg_1_221_492 computable constructor one 1
computable/promoted_library_slow/ln_generated_9862_neg_1_221_492 computable constructor rational-node 3
computable/promoted_library_slow/ln_generated_9862_neg_1_221_492 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/ln_generated_9862_neg_1_221_492 computable ln exact-rational-binary-scaled-ln1p 1
computable/promoted_library_slow/ln_generated_9862_neg_1_221_492 computable_approx ln binary-scaled-rational 1
computable/promoted_library_slow/sin_generated_10834_pos_4_34_61 computable constructor cached-pi 1
computable/promoted_library_slow/sin_generated_10834_pos_4_34_61 computable constructor rational-node 1
computable/promoted_library_slow/sin_generated_10834_pos_4_34_61 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/sin_generated_10834_pos_4_34_61 computable constructor sin-large-rational-deferred 1
computable/promoted_library_slow/sin_generated_10834_pos_4_34_61 computable sin large-rational-deferred 1
computable/promoted_library_slow/sin_generated_10834_pos_4_34_61 computable_approx trig fixed-half-pi-multiple-3 1
computable/promoted_library_slow/sin_generated_11359_pos_4_66_139 computable constructor cached-pi 1
computable/promoted_library_slow/sin_generated_11359_pos_4_66_139 computable constructor rational-node 1
computable/promoted_library_slow/sin_generated_11359_pos_4_66_139 computable constructor shared-constant-wrapper 1
computable/promoted_library_slow/sin_generated_11359_pos_4_66_139 computable constructor sin-large-rational-deferred 1
computable/promoted_library_slow/sin_generated_11359_pos_4_66_139 computable sin large-rational-deferred 1
computable/promoted_library_slow/sin_generated_11359_pos_4_66_139 computable_approx trig fixed-half-pi-multiple-3 1
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_11841_neg_5_2_17 computable_approx trig fixed-half-pi-multiple-neg3 1
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_13446_neg_5_15_187 computable_approx trig fixed-half-pi-multiple-neg3 1
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable_approx tan quarter-pi-large-rational 1
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable_approx trig fixed-half-pi-multiple-neg4 1
computable/promoted_library_slow/tan_generated_13866_neg_5_1_2 computable_approx trig fixed-half-pi-residual-two-pi 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable_approx tan quarter-pi-large-rational 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable_approx trig fixed-half-pi-multiple-4 1
computable/promoted_library_slow/tan_generated_14421_pos_5_25_47 computable_approx trig fixed-half-pi-residual-two-pi 1
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable_approx tan quarter-pi-large-rational 1
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable_approx trig fixed-half-pi-multiple-neg4 1
computable/promoted_library_slow/tan_generated_15891_neg_5_23_33 computable_approx trig fixed-half-pi-residual-two-pi 1
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_16806_pos_5_3_22 computable_approx trig fixed-half-pi-multiple-3 1
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable_approx trig fixed-half-pi-multiple-4 1
computable/promoted_library_slow/tan_generated_18666_pos_5_15_17 computable_approx trig fixed-half-pi-residual-two-pi 2
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_9231_neg_7_5_6 computable_approx trig fixed-half-pi-multiple-neg5 1
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable constructor cached-pi 2
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable constructor rational-node 1
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable constructor shared-constant-wrapper 2
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable constructor tan-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable tan near-large-rational-deferred 1
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable_approx tan large-rational-direct-quotient 1
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable_approx tan quarter-pi-large-rational 1
computable/promoted_library_slow/tan_generated_9591_neg_3_125_127 computable_approx trig fixed-half-pi-multiple-neg3 1
computable/sign/deep_half_product_sign_cached computable sign exact-sign-cache 1
computable/sign/deep_scaled_product_sign computable constructor cached-pi 1
computable/sign/deep_scaled_product_sign computable constructor rational-node 200
computable/sign/deep_scaled_product_sign computable constructor shared-constant-wrapper 1
computable/sign/deep_scaled_product_sign computable sign exact-sign-cache 1
computable/sign/deep_scaled_product_sign_cached computable sign exact-sign-cache 1
computable/sign/deep_scaled_product_sign_until computable constructor cached-pi 1
computable/sign/deep_scaled_product_sign_until computable constructor rational-node 200
computable/sign/deep_scaled_product_sign_until computable constructor shared-constant-wrapper 1
computable/sign/deep_scaled_product_sign_until computable sign_until exact-sign-cache 1
computable/sign/exp_unknown_sign_arg computable constructor cached-pi 1
computable/sign/exp_unknown_sign_arg computable constructor one 1
computable/sign/exp_unknown_sign_arg computable constructor shared-constant-wrapper 1
computable/sign/exp_unknown_sign_arg computable exp structural-small-prescaled 1
computable/sign/exp_unknown_sign_arg computable sign exact-sign-cache 1
computable/sign/exp_unknown_sign_arg_cached computable sign exact-sign-cache 1
computable/sign/perturbed_scaled_product_sign computable constructor cached-pi 1
computable/sign/perturbed_scaled_product_sign computable constructor rational-node 201
computable/sign/perturbed_scaled_product_sign computable constructor shared-constant-wrapper 1
computable/sign/perturbed_scaled_product_sign computable sign exact-sign-cache 1
computable/sign/pi_minus_one computable constructor cached-pi 1
computable/sign/pi_minus_one computable constructor one 1
computable/sign/pi_minus_one computable constructor rational-node 1
computable/sign/pi_minus_one computable constructor shared-constant-wrapper 1
computable/sign/pi_minus_one computable sign exact-sign-cache 1
computable/sign/pi_minus_one_cached computable sign exact-sign-cache 1
computable/sign/pi_minus_one_sign_until computable constructor cached-pi 1
computable/sign/pi_minus_one_sign_until computable constructor one 1
computable/sign/pi_minus_one_sign_until computable constructor rational-node 1
computable/sign/pi_minus_one_sign_until computable constructor shared-constant-wrapper 1
computable/sign/pi_minus_one_sign_until computable sign_until exact-sign-cache 1
computable/sqrt_squarefree_rational computable constructor rational-node 3
computable/sqrt_squarefree_rational computable constructor shared-constant-wrapper 1
computable/sqrt_squarefree_rational computable constructor shared-sqrt-constant-probe 1
computable/sqrt_squarefree_rational computable sqrt shared-squarefree-rational 1
computable/trig computable constructor cached-pi 2
computable/trig computable constructor prescaled-cos-half-pi-minus-rational 1
computable/trig computable constructor prescaled-sin-half-pi-minus-rational 1
computable/trig computable constructor rational-node 1
computable/trig computable constructor shared-constant-wrapper 2
computable/trig computable cos medium-rational-half-pi-rewrite 1
computable/trig computable sin medium-rational-half-pi-rewrite 1
computable/trig/large computable constructor cached-pi 6
computable/trig/large computable constructor cos-large-rational-deferred 1
computable/trig/large computable constructor rational-node 1
computable/trig/large computable constructor shared-constant-wrapper 6
computable/trig/large computable constructor sin-large-rational-deferred 1
computable/trig/large computable cos large-rational-deferred 1
computable/trig/large computable sin large-rational-deferred 1
computable/trig/large-exact-rational computable constructor cached-pi 20
computable/trig/large-exact-rational computable constructor cos-large-rational-deferred 2
computable/trig/large-exact-rational computable constructor rational-node 2
computable/trig/large-exact-rational computable constructor shared-constant-wrapper 20
computable/trig/large-exact-rational computable constructor sin-large-rational-deferred 2
computable/trig/large-exact-rational computable constructor tan-large-rational-deferred 2
computable/trig/large-exact-rational computable cos large-rational-deferred 2
computable/trig/large-exact-rational computable sin large-rational-deferred 2
computable/trig/large-exact-rational computable tan near-large-rational-deferred 2
computable/trig/large-exact-rational computable_approx tan large-rational-direct-quotient 2
computable/trig_adversarial/cos_1e30 computable constructor cached-pi 3
computable/trig_adversarial/cos_1e30 computable constructor cos-large-rational-deferred 1
computable/trig_adversarial/cos_1e30 computable constructor shared-constant-wrapper 3
computable/trig_adversarial/cos_1e30 computable cos large-rational-deferred 1
computable/trig_adversarial/cos_1e6 computable constructor cached-pi 3
computable/trig_adversarial/cos_1e6 computable constructor cos-large-rational-deferred 1
computable/trig_adversarial/cos_1e6 computable constructor shared-constant-wrapper 3
computable/trig_adversarial/cos_1e6 computable cos large-rational-deferred 1
computable/trig_adversarial/cos_f64_exact computable constructor cached-pi 1
computable/trig_adversarial/cos_f64_exact computable constructor prescaled-sin-half-pi-minus-rational 1
computable/trig_adversarial/cos_f64_exact computable constructor shared-constant-wrapper 1
computable/trig_adversarial/cos_f64_exact computable cos medium-rational-half-pi-rewrite 1
computable/trig_adversarial/cos_huge_pi_plus_offset computable constructor cached-pi 1
computable/trig_adversarial/cos_huge_pi_plus_offset computable constructor prescaled-sin-half-pi-minus-rational 1
computable/trig_adversarial/cos_huge_pi_plus_offset computable constructor rational-node 1
computable/trig_adversarial/cos_huge_pi_plus_offset computable constructor shared-constant-wrapper 1
computable/trig_adversarial/cos_huge_pi_plus_offset computable cos integer-pi-plus-rational 1
computable/trig_adversarial/cos_huge_pi_plus_offset computable cos medium-rational-half-pi-rewrite 1
computable/trig_adversarial/cos_medium computable constructor cached-pi 1
computable/trig_adversarial/cos_medium computable constructor prescaled-sin-half-pi-minus-rational 1
computable/trig_adversarial/cos_medium computable constructor shared-constant-wrapper 1
computable/trig_adversarial/cos_medium computable cos medium-rational-half-pi-rewrite 1
computable/trig_adversarial/cos_tiny computable constructor prescaled-cos 1
computable/trig_adversarial/cos_tiny computable cos structural-small-prescaled 1
computable/trig_adversarial/sin_1e30 computable constructor cached-pi 3
computable/trig_adversarial/sin_1e30 computable constructor shared-constant-wrapper 3
computable/trig_adversarial/sin_1e30 computable constructor sin-large-rational-deferred 1
computable/trig_adversarial/sin_1e30 computable sin large-rational-deferred 1
computable/trig_adversarial/sin_1e6 computable constructor cached-pi 3
computable/trig_adversarial/sin_1e6 computable constructor shared-constant-wrapper 3
computable/trig_adversarial/sin_1e6 computable constructor sin-large-rational-deferred 1
computable/trig_adversarial/sin_1e6 computable sin large-rational-deferred 1
computable/trig_adversarial/sin_f64_exact computable constructor cached-pi 1
computable/trig_adversarial/sin_f64_exact computable constructor prescaled-cos-half-pi-minus-rational 1
computable/trig_adversarial/sin_f64_exact computable constructor shared-constant-wrapper 1
computable/trig_adversarial/sin_f64_exact computable sin medium-rational-half-pi-rewrite 1
computable/trig_adversarial/sin_huge_pi_plus_offset computable constructor cached-pi 1
computable/trig_adversarial/sin_huge_pi_plus_offset computable constructor prescaled-cos-half-pi-minus-rational 1
computable/trig_adversarial/sin_huge_pi_plus_offset computable constructor rational-node 1
computable/trig_adversarial/sin_huge_pi_plus_offset computable constructor shared-constant-wrapper 1
computable/trig_adversarial/sin_huge_pi_plus_offset computable sin integer-pi-plus-rational 1
computable/trig_adversarial/sin_huge_pi_plus_offset computable sin medium-rational-half-pi-rewrite 1
computable/trig_adversarial/sin_medium computable constructor cached-pi 1
computable/trig_adversarial/sin_medium computable constructor prescaled-cos-half-pi-minus-rational 1
computable/trig_adversarial/sin_medium computable constructor shared-constant-wrapper 1
computable/trig_adversarial/sin_medium computable sin medium-rational-half-pi-rewrite 1
computable/trig_adversarial/sin_tiny computable constructor prescaled-sin 1
computable/trig_adversarial/sin_tiny computable sin structural-small-prescaled 1
computable/trig_adversarial/tan_1e30 computable constructor cached-pi 4
computable/trig_adversarial/tan_1e30 computable constructor shared-constant-wrapper 4
computable/trig_adversarial/tan_1e30 computable constructor tan-large-rational-deferred 1
computable/trig_adversarial/tan_1e30 computable tan near-large-rational-deferred 1
computable/trig_adversarial/tan_1e30 computable_approx tan large-rational-direct-quotient 1
computable/trig_adversarial/tan_1e6 computable constructor cached-pi 4
computable/trig_adversarial/tan_1e6 computable constructor shared-constant-wrapper 4
computable/trig_adversarial/tan_1e6 computable constructor tan-large-rational-deferred 1
computable/trig_adversarial/tan_1e6 computable tan near-large-rational-deferred 1
computable/trig_adversarial/tan_1e6 computable_approx tan large-rational-direct-quotient 1
computable/trig_adversarial/tan_huge_pi_plus_offset computable constructor cached-pi 1
computable/trig_adversarial/tan_huge_pi_plus_offset computable constructor prescaled-cot-half-pi-minus-rational 1
computable/trig_adversarial/tan_huge_pi_plus_offset computable constructor rational-node 1
computable/trig_adversarial/tan_huge_pi_plus_offset computable constructor shared-constant-wrapper 1
computable/trig_adversarial/tan_huge_pi_plus_offset computable tan integer-pi-plus-rational 1
computable/trig_adversarial/tan_huge_pi_plus_offset computable tan medium-rational-half-pi-cotangent 1
computable/trig_adversarial/tan_medium computable constructor cached-pi 1
computable/trig_adversarial/tan_medium computable constructor prescaled-cot-half-pi-minus-rational 1
computable/trig_adversarial/tan_medium computable constructor shared-constant-wrapper 1
computable/trig_adversarial/tan_medium computable tan medium-rational-half-pi-cotangent 1
computable/trig_adversarial/tan_near_half_pi computable tan structural-small-prescaled 1
computable/trig_adversarial/tan_promoted_generated_604_125 computable constructor cached-pi 2
computable/trig_adversarial/tan_promoted_generated_604_125 computable constructor shared-constant-wrapper 2
computable/trig_adversarial/tan_promoted_generated_604_125 computable constructor tan-large-rational-deferred 1
computable/trig_adversarial/tan_promoted_generated_604_125 computable tan near-large-rational-deferred 1
computable/trig_adversarial/tan_promoted_generated_604_125 computable_approx tan large-rational-direct-quotient 1
computable/trig_adversarial/tan_promoted_generated_604_125 computable_approx trig fixed-half-pi-multiple-3 1
computable/trig_adversarial/tan_tiny computable tan structural-small-prescaled 1
real/arithmetic/exact real constructor rational 6
real/arithmetic/exact real div same-class 1
real/constants computable constructor cached-e-internal 2
real/constants computable constructor cached-pi 4
real/constants computable constructor shared-constant-wrapper 6
real/constants real constructor cached-e 1
real/constants real constructor cached-pi 1
real/constants real constructor cached-tau 1
real/constants real constructor one 1
real/constants real constructor zero 1
real/div/const_product_sqrt_over_e computable constructor cached-e-internal 4
real/div/const_product_sqrt_over_e computable constructor cached-pi 5
real/div/const_product_sqrt_over_e computable constructor rational-node 2
real/div/const_product_sqrt_over_e computable constructor shared-constant-wrapper 11
real/div/const_product_sqrt_over_e computable constructor shared-sqrt-constant-probe 2
real/div/const_product_sqrt_over_e computable sqrt generic-sqrt-node 2
real/div/const_product_sqrt_over_e real best_sign symbolic-or-rational 1
real/div/const_product_sqrt_over_e real constructor cached-e 2
real/div/const_product_sqrt_over_e real constructor cached-pi 1
real/div/const_product_sqrt_over_e real constructor rational 1
real/div/const_product_sqrt_over_e real div cached-pi-sqrt-two-over-exp 1
real/div/const_product_sqrt_over_e real sqrt rational-sqrt-special-form 1
real/div/div_const_product_sqrt computable constructor cached-e-internal 5
real/div/div_const_product_sqrt computable constructor cached-pi 4
real/div/div_const_product_sqrt computable constructor rational-node 4
real/div/div_const_product_sqrt computable constructor shared-constant-wrapper 11
real/div/div_const_product_sqrt computable constructor shared-sqrt-constant-probe 2
real/div/div_const_product_sqrt computable sqrt generic-sqrt-node 4
real/div/div_const_product_sqrt real best_sign symbolic-or-rational 2
real/div/div_const_product_sqrt real constructor cached-e 2
real/div/div_const_product_sqrt real constructor cached-pi 1
real/div/div_const_product_sqrt real constructor rational 2
real/div/div_const_product_sqrt real div const-product-sqrt 1
real/div/div_const_product_sqrt real sqrt rational-sqrt-special-form 2
real/div/div_const_products computable constructor cached-e-internal 3
real/div/div_const_products computable constructor cached-inv-pi 1
real/div/div_const_products computable constructor cached-pi 3
real/div/div_const_products computable constructor rational-node 1
real/div/div_const_products computable constructor shared-constant-wrapper 7
real/div/div_const_products computable exp structural-small-prescaled 1
real/div/div_const_products real constructor cached-e 2
real/div/div_const_products real constructor cached-pi 2
real/div/div_const_products real div exp-over-pi 1
real/div/div_const_products real div pi-over-exp 1
real/div/rational_over_symbolic computable constructor cached-e-internal 1
real/div/rational_over_symbolic computable constructor cached-inv-pi 1
real/div/rational_over_symbolic computable constructor cached-pi 1
real/div/rational_over_symbolic computable constructor rational-node 1
real/div/rational_over_symbolic computable constructor shared-constant-wrapper 3
real/div/rational_over_symbolic computable exp structural-small-prescaled 1
real/div/rational_over_symbolic real constructor cached-e 1
real/div/rational_over_symbolic real constructor cached-pi 1
real/div/rational_over_symbolic real constructor one 1
real/div/rational_over_symbolic real constructor rational 1
real/div/rational_over_symbolic real div lhs-rational-symbolic-inverse 1
real/div/rational_over_symbolic real div rational-over-exp 1
real/div/rational_over_symbolic real inverse_ref prechecked-pi 1
real/div/sqrt_two_over_sqrt_three computable constructor rational-node 4
real/div/sqrt_two_over_sqrt_three computable sqrt generic-sqrt-node 4
real/div/sqrt_two_over_sqrt_three real best_sign symbolic-or-rational 2
real/div/sqrt_two_over_sqrt_three real constructor rational 2
real/div/sqrt_two_over_sqrt_three real div cached-sqrt-six-over-three-prechecked 1
real/div/sqrt_two_over_sqrt_three real sqrt rational-sqrt-special-form 2
real/dot_product/active_dot3_dense_symbolic computable constructor cached-e-internal 6
real/dot_product/active_dot3_dense_symbolic computable constructor cached-pi 6
real/dot_product/active_dot3_dense_symbolic computable constructor shared-constant-wrapper 12
real/dot_product/active_dot3_dense_symbolic real constructor cached-e 3
real/dot_product/active_dot3_dense_symbolic real constructor cached-pi 3
real/dot_product/active_dot3_dense_symbolic real constructor rational 6
real/dot_product/active_dot3_dense_symbolic real dot_product active-dot3-real-tree 1
real/dot_product/active_dot4_dense_symbolic computable constructor cached-e-internal 7
real/dot_product/active_dot4_dense_symbolic computable constructor cached-pi 7
real/dot_product/active_dot4_dense_symbolic computable constructor rational-node 3
real/dot_product/active_dot4_dense_symbolic computable constructor shared-constant-wrapper 14
real/dot_product/active_dot4_dense_symbolic real constructor cached-e 3
real/dot_product/active_dot4_dense_symbolic real constructor cached-pi 3
real/dot_product/active_dot4_dense_symbolic real constructor rational 9
real/dot_product/active_dot4_dense_symbolic real dot_product active-dot4-real-tree 1
real/dot_product/dot3_all_zero computable constructor cached-e-internal 1
real/dot_product/dot3_all_zero computable constructor cached-pi 1
real/dot_product/dot3_all_zero computable constructor shared-constant-wrapper 2
real/dot_product/dot3_all_zero real constructor cached-e 1
real/dot_product/dot3_all_zero real constructor cached-pi 1
real/dot_product/dot3_all_zero real constructor rational 1
real/dot_product/dot3_all_zero real constructor zero 4
real/dot_product/dot3_all_zero real dot_product dot3-structural-real-tree 1
real/dot_product/dot3_dense_symbolic computable constructor cached-e-internal 6
real/dot_product/dot3_dense_symbolic computable constructor cached-pi 6
real/dot_product/dot3_dense_symbolic computable constructor shared-constant-wrapper 12
real/dot_product/dot3_dense_symbolic real constructor cached-e 3
real/dot_product/dot3_dense_symbolic real constructor cached-pi 3
real/dot_product/dot3_dense_symbolic real constructor rational 6
real/dot_product/dot3_dense_symbolic real dot_product dot3-generic-real-tree 1
real/dot_product/dot3_mixed_structural computable constructor cached-e-internal 1
real/dot_product/dot3_mixed_structural computable constructor cached-pi 2
real/dot_product/dot3_mixed_structural computable constructor rational-node 1
real/dot_product/dot3_mixed_structural computable constructor shared-constant-wrapper 3
real/dot_product/dot3_mixed_structural real constructor cached-e 1
real/dot_product/dot3_mixed_structural real constructor cached-pi 1
real/dot_product/dot3_mixed_structural real constructor one 1
real/dot_product/dot3_mixed_structural real constructor rational 3
real/dot_product/dot3_mixed_structural real constructor zero 1
real/dot_product/dot3_mixed_structural real dot_product dot3-structural-real-tree 1
real/dot_product/dot4_dense_symbolic computable constructor cached-e-internal 7
real/dot_product/dot4_dense_symbolic computable constructor cached-pi 7
real/dot_product/dot4_dense_symbolic computable constructor rational-node 3
real/dot_product/dot4_dense_symbolic computable constructor shared-constant-wrapper 14
real/dot_product/dot4_dense_symbolic real constructor cached-e 3
real/dot_product/dot4_dense_symbolic real constructor cached-pi 3
real/dot_product/dot4_dense_symbolic real constructor rational 9
real/dot_product/dot4_dense_symbolic real dot_product dot4-structural-real-tree 1
real/dot_product/dot4_mixed_structural computable constructor cached-e-internal 1
real/dot_product/dot4_mixed_structural computable constructor cached-pi 3
real/dot_product/dot4_mixed_structural computable constructor rational-node 1
real/dot_product/dot4_mixed_structural computable constructor shared-constant-wrapper 4
real/dot_product/dot4_mixed_structural real constructor cached-e 1
real/dot_product/dot4_mixed_structural real constructor cached-pi 1
real/dot_product/dot4_mixed_structural real constructor one 2
real/dot_product/dot4_mixed_structural real constructor rational 4
real/dot_product/dot4_mixed_structural real constructor zero 2
real/dot_product/dot4_mixed_structural real dot_product dot4-structural-real-tree 1
real/geometry_polynomial_substrate computable constructor cached-e-internal 6
real/geometry_polynomial_substrate computable constructor cached-inv-pi 1
real/geometry_polynomial_substrate computable constructor cached-pi 12
real/geometry_polynomial_substrate computable constructor one 1
real/geometry_polynomial_substrate computable constructor prescaled-cos-rational 1
real/geometry_polynomial_substrate computable constructor prescaled-sin-rational 1
real/geometry_polynomial_substrate computable constructor rational-node 9
real/geometry_polynomial_substrate computable constructor shared-constant-wrapper 21
real/geometry_polynomial_substrate computable constructor shared-sqrt-constant-probe 2
real/geometry_polynomial_substrate computable cos structural-small-prescaled 1
real/geometry_polynomial_substrate computable sin structural-small-prescaled 1
real/geometry_polynomial_substrate computable sqrt generic-sqrt-node 3
real/geometry_polynomial_substrate rational dot_product dyadic-shared-denominator 2
real/geometry_polynomial_substrate rational dot_product lcm-shared-denominator 1
real/geometry_polynomial_substrate rational product_sum lcm-shared-denominator 1
real/geometry_polynomial_substrate real atan exact-special-form 1
real/geometry_polynomial_substrate real atan2 axis-negative-x 1
real/geometry_polynomial_substrate real atan2 quadrant-upper-left 1
real/geometry_polynomial_substrate real best_sign symbolic-or-rational 4
real/geometry_polynomial_substrate real constructor cached-e 3
real/geometry_polynomial_substrate real constructor cached-pi 7
real/geometry_polynomial_substrate real constructor one 9
real/geometry_polynomial_substrate real constructor rational 33
real/geometry_polynomial_substrate real constructor zero 3
real/geometry_polynomial_substrate real cos rational-specialized-computable 1
real/geometry_polynomial_substrate real cos_pi rational-exact-table 1
real/geometry_polynomial_substrate real cosc one-minus-cos-over-square 1
real/geometry_polynomial_substrate real definitely_zero rational-sign 15
real/geometry_polynomial_substrate real div lhs-rational-symbolic-inverse 2
real/geometry_polynomial_substrate real div rhs-one 3
real/geometry_polynomial_substrate real div same-class 1
real/geometry_polynomial_substrate real dot_product dot2-exact-rational-shared-denom 2
real/geometry_polynomial_substrate real dot_product dot3-exact-rational-shared-denom 1
real/geometry_polynomial_substrate real dot_product dot4-structural-real-tree 1
real/geometry_polynomial_substrate real hypot hypot-minus-rationalized 1
real/geometry_polynomial_substrate real hypot hypot2-dot-sqrt 2
real/geometry_polynomial_substrate real hypot hypot3-dot-sqrt 1
real/geometry_polynomial_substrate real inverse_ref generic 1
real/geometry_polynomial_substrate real inverse_ref prechecked-pi 1
real/geometry_polynomial_substrate real pi_fraction cached-special-form 1
real/geometry_polynomial_substrate real polynomial eval-poly-exact-rational 1
real/geometry_polynomial_substrate real polynomial eval-poly-rational-x-split 2
real/geometry_polynomial_substrate real polynomial eval-rational-poly 1
real/geometry_polynomial_substrate real powi rational-exact 1
real/geometry_polynomial_substrate real product_sum diff-of-products-exact-rational 1
real/geometry_polynomial_substrate real product_sum mul-add-zero-product 1
real/geometry_polynomial_substrate real sin rational-specialized-computable 1
real/geometry_polynomial_substrate real sin_pi rational-special-form 2
real/geometry_polynomial_substrate real sinc exact-zero-one 1
real/geometry_polynomial_substrate real sinc sin-over-x 1
real/geometry_polynomial_substrate real sinc_pi sinpi-over-pi-x 1
real/geometry_polynomial_substrate real sqrt rational-perfect-square 2
real/geometry_polynomial_substrate real sqrt rational-sqrt-special-form 1
real/geometry_polynomial_substrate real structural_facts exact-rational 4
real/geometry_polynomial_substrate real tan pi-rational-exact-table 1
real/hyperbolic_log_exp computable constructor acosh-near-one-deferred 1
real/hyperbolic_log_exp computable constructor asinh-near-zero-deferred 1
real/hyperbolic_log_exp computable constructor rational-node 5
real/hyperbolic_log_exp computable exp structural-small-prescaled 1
real/hyperbolic_log_exp computable ln exact-rational-direct-ln1p 1
real/hyperbolic_log_exp real acosh near-one-deferred-node 1
real/hyperbolic_log_exp real asinh rational-near-zero-deferred-node 1
real/hyperbolic_log_exp real best_sign symbolic-or-rational 1
real/hyperbolic_log_exp real constructor rational 1
real/hyperbolic_log_exp real definitely_zero rational-sign 2
real/hyperbolic_log_exp real exp rational-exp-special-form 1
real/hyperbolic_log_exp real ln rational-ln-special-form 1
real/inverse/inverse_generic computable constructor rational-node 2
real/inverse/inverse_generic computable sqrt generic-sqrt-node 2
real/inverse/inverse_generic real best_sign symbolic-or-rational 1
real/inverse/inverse_generic real constructor rational 2
real/inverse/inverse_generic real inverse prechecked-one 1
real/inverse/inverse_generic real inverse prechecked-sqrt-rational-radical 1
real/inverse/inverse_generic real inverse_ref prechecked-sqrt-rational-radical 1
real/inverse/inverse_generic real sqrt rational-sqrt-special-form 1
real/inverse_hyperbolic/exact_rational computable constructor asinh-direct-deferred 1
real/inverse_hyperbolic/exact_rational computable constructor asinh-near-zero-deferred 2
real/inverse_hyperbolic/exact_rational computable constructor atanh-direct-deferred 1
real/inverse_hyperbolic/exact_rational computable constructor rational-node 4
real/inverse_hyperbolic/exact_rational computable constructor shared-constant-wrapper 3
real/inverse_hyperbolic/exact_rational computable constructor shared-log-constant-probe 3
real/inverse_hyperbolic/exact_rational real asinh rational-direct-deferred-node 1
real/inverse_hyperbolic/exact_rational real asinh rational-near-zero-deferred-node 2
real/inverse_hyperbolic/exact_rational real asinh rational-negative-symmetry 1
real/inverse_hyperbolic/exact_rational real atanh endpoint-deferred-node 1
real/inverse_hyperbolic/exact_rational real atanh rational-half-ln3-special-form 1
real/inverse_hyperbolic/exact_rational real atanh rational-minus-half-ln3-special-form 1
real/inverse_hyperbolic/exact_rational real constructor rational 3
real/inverse_hyperbolic/exact_rational real definitely_zero rational-sign 7
real/inverse_hyperbolic/sqrt computable constructor cached-asinh1 2
real/inverse_hyperbolic/sqrt computable constructor rational-node 2
real/inverse_hyperbolic/sqrt computable constructor shared-constant-wrapper 2
real/inverse_hyperbolic/sqrt computable sqrt generic-sqrt-node 2
real/inverse_hyperbolic/sqrt real acosh sqrt-two-asinh-one 1
real/inverse_hyperbolic/sqrt real atanh sqrt-half-asinh-one 1
real/inverse_hyperbolic/sqrt real best_sign symbolic-or-rational 2
real/inverse_hyperbolic/sqrt real constructor rational 3
real/inverse_hyperbolic/sqrt real definitely_zero rational-sign 1
real/inverse_hyperbolic/sqrt real sqrt rational-sqrt-special-form 2
real/inverse_trig computable acos positive-rational-deferred 2
real/inverse_trig computable acos tiny-via-asin 1
real/inverse_trig computable asin endpoint-via-acos 1
real/inverse_trig computable asin exact-tiny-rational-series 2
real/inverse_trig computable atanh exact-tiny-prescaled 1
real/inverse_trig computable constructor acos-positive-rational-deferred 2
real/inverse_trig computable constructor asin-rational-deferred 2
real/inverse_trig computable constructor atanh-rational-deferred 1
real/inverse_trig computable constructor cached-pi 2
real/inverse_trig computable constructor rational-node 5
real/inverse_trig computable constructor shared-constant-wrapper 2
real/inverse_trig real acos generic-computable 2
real/inverse_trig real asin rational-computable 2
real/inverse_trig real atanh tiny-rational-computable 1
real/inverse_trig real constructor rational 2
real/inverse_trig real definitely_zero rational-sign 7
real/inverse_trig/exact computable constructor cached-pi 6
real/inverse_trig/exact computable constructor rational-node 2
real/inverse_trig/exact computable constructor shared-constant-wrapper 6
real/inverse_trig/exact computable sqrt generic-sqrt-node 2
real/inverse_trig/exact real acos exact-special-form 2
real/inverse_trig/exact real asin exact-special-form 2
real/inverse_trig/exact real best_sign symbolic-or-rational 1
real/inverse_trig/exact real constructor cached-pi 2
real/inverse_trig/exact real constructor rational 5
real/inverse_trig/exact real definitely_zero rational-sign 4
real/inverse_trig/exact real pi_fraction cached-special-form 2
real/inverse_trig/exact real sqrt rational-sqrt-special-form 1
real/inverse_trig/mid-domain computable acos positive-rational-deferred 2
real/inverse_trig/mid-domain computable asin positive-rational-via-acos 1
real/inverse_trig/mid-domain computable atan exact-rational-deferred 1
real/inverse_trig/mid-domain computable constructor acos-positive-rational-deferred 2
real/inverse_trig/mid-domain computable constructor atan-rational-deferred 1
real/inverse_trig/mid-domain computable constructor cached-pi 1
real/inverse_trig/mid-domain computable constructor rational-node 4
real/inverse_trig/mid-domain computable constructor shared-constant-wrapper 1
real/inverse_trig/mid-domain computable ln exact-rational-binary-scaled-ln1p 1
real/inverse_trig/mid-domain real acos generic-computable 1
real/inverse_trig/mid-domain real asin rational-computable 1
real/inverse_trig/mid-domain real atan generic-computable 1
real/inverse_trig/mid-domain real atanh rational-log-ratio-special-form 1
real/inverse_trig/mid-domain real constructor rational 2
real/inverse_trig/mid-domain real definitely_zero rational-sign 5
real/inverse_trig/mid-domain real ln rational-ln-special-form 1
real/log/scaled_e computable constructor cached-e-internal 1
real/log/scaled_e computable constructor one 2
real/log/scaled_e computable constructor rational-one-canonicalized 1
real/log/scaled_e computable constructor shared-constant-wrapper 3
real/log/scaled_e computable constructor shared-log-constant-probe 2
real/log/scaled_e real best_sign symbolic-or-rational 1
real/log/scaled_e real constructor cached-e 1
real/log/scaled_e real constructor rational 1
real/log/scaled_e real ln cached-one-plus-ln2 1
real/normal_scientific_substrate computable compare_absolute exact-rational 1
real/normal_scientific_substrate computable constructor cached-inv-pi 1
real/normal_scientific_substrate computable constructor cached-pi 13
real/normal_scientific_substrate computable constructor one 12
real/normal_scientific_substrate computable constructor rational-node 57
real/normal_scientific_substrate computable constructor rational-one-canonicalized 3
real/normal_scientific_substrate computable constructor rational-zero-canonicalized 8
real/normal_scientific_substrate computable constructor shared-constant-wrapper 23
real/normal_scientific_substrate computable constructor shared-log-constant-probe 2
real/normal_scientific_substrate computable constructor shared-sqrt-constant-probe 4
real/normal_scientific_substrate computable constructor zero 8
real/normal_scientific_substrate computable exp ln2-range-reduction 3
real/normal_scientific_substrate computable exp prescaled-kernel 2
real/normal_scientific_substrate computable exp structural-large-range-reduction 1
real/normal_scientific_substrate computable exp structural-small-prescaled 15
real/normal_scientific_substrate computable ln prescaled-ln1p-kernel 2
real/normal_scientific_substrate computable ln sqrt-range-reduction 1
real/normal_scientific_substrate computable sign exact-sign-cache 22
real/normal_scientific_substrate computable sqrt generic-sqrt-node 14
real/normal_scientific_substrate computable structural_facts exact-sign-cache 1
real/normal_scientific_substrate real abs known-positive 1
real/normal_scientific_substrate real best_sign scaled-computable 1
real/normal_scientific_substrate real best_sign symbolic-or-rational 26
real/normal_scientific_substrate real beta positive-integer-factorial-ratio 1
real/normal_scientific_substrate real certified_cmp_until exact-rational-comparison 5
real/normal_scientific_substrate real certified_sign_until structural-facts 1
real/normal_scientific_substrate real constructor cached-pi 6
real/normal_scientific_substrate real constructor one 18
real/normal_scientific_substrate real constructor rational 112
real/normal_scientific_substrate real constructor zero 4
real/normal_scientific_substrate real definitely_zero rational-sign 22
real/normal_scientific_substrate real div const-product-sqrt 2
real/normal_scientific_substrate real div lhs-rational-symbolic-inverse 3
real/normal_scientific_substrate real div rhs-one 2
real/normal_scientific_substrate real div same-class 3
real/normal_scientific_substrate real dnorm generic-computable 6
real/normal_scientific_substrate real erf generic-computable 1
real/normal_scientific_substrate real erfc exact-zero-one 1
real/normal_scientific_substrate real erfc generic-computable 1
real/normal_scientific_substrate real erfcinv upper-tail-transform 1
real/normal_scientific_substrate real erfcx generic-computable 3
real/normal_scientific_substrate real erfinv exact-rational-upper-tail-transform 1
real/normal_scientific_substrate real exp rational-exp-special-form 3
real/normal_scientific_substrate real gamma half-integer-closed-form 3
real/normal_scientific_substrate real inverse generic 1
real/normal_scientific_substrate real inverse_ref generic 1
real/normal_scientific_substrate real inverse_ref prechecked-pi 1
real/normal_scientific_substrate real inverse_ref prechecked-sqrt-rational-radical 4
real/normal_scientific_substrate real lgamma log-abs-gamma 1
real/normal_scientific_substrate real ln generic-computable 2
real/normal_scientific_substrate real ln rational-inverse-shared-log 1
real/normal_scientific_substrate real ln_beta half-integer-scale-log 1
real/normal_scientific_substrate real log_dnorm analytic-computable 1
real/normal_scientific_substrate real log_normal_sf generic-computable 1
real/normal_scientific_substrate real log_pnorm generic-computable 1
real/normal_scientific_substrate real normal_interval generic-computable 2
real/normal_scientific_substrate real normal_interval_moment closed-form-third 1
real/normal_scientific_substrate real normal_sf generic-computable 3
real/normal_scientific_substrate real powi exponent-one 4
real/normal_scientific_substrate real powi exponent-zero-one 2
real/normal_scientific_substrate real powi rational-exact 7
real/normal_scientific_substrate real qnorm exact-rational-safe-subwindow 3
real/normal_scientific_substrate real qnorm normal-quantile-computable 3
real/normal_scientific_substrate real regularized_beta integer-binomial-tail 1
real/normal_scientific_substrate real regularized_beta_q integer-binomial-tail 1
real/normal_scientific_substrate real sqrt generic-computable 2
real/normal_scientific_substrate real sqrt pi-scale-computable-sqrt 3
real/normal_scientific_substrate real sqrt rational-perfect-square 5
real/normal_scientific_substrate real structural_facts scaled-computable 1
real/pow/small_integer_exponent real constructor rational 2
real/pow/small_integer_exponent real pow small-integer-exponent 1
real/pow/small_integer_exponent real powi rational-exact 1
real/pow/symbolic_negative_one computable constructor cached-e-internal 1
real/pow/symbolic_negative_one computable constructor cached-inv-pi 1
real/pow/symbolic_negative_one computable constructor cached-pi 1
real/pow/symbolic_negative_one computable constructor rational-node 1
real/pow/symbolic_negative_one computable constructor shared-constant-wrapper 3
real/pow/symbolic_negative_one computable exp structural-small-prescaled 1
real/pow/symbolic_negative_one real constructor cached-e 1
real/pow/symbolic_negative_one real constructor cached-pi 1
real/pow/symbolic_negative_one real definitely_zero rational-sign 3
real/pow/symbolic_negative_one real inverse exp 1
real/pow/symbolic_negative_one real inverse prechecked-pi 1
real/pow/symbolic_negative_one real powi negative-one-inverse 2
real/sqrt_scaled_exp computable constructor rational-node 2
real/sqrt_scaled_exp computable exp structural-small-prescaled 1
real/sqrt_scaled_exp computable sqrt generic-sqrt-node 1
real/sqrt_scaled_exp real best_sign symbolic-or-rational 1
real/sqrt_scaled_exp real constructor rational 2
real/sqrt_scaled_exp real definitely_zero rational-sign 1
real/sqrt_scaled_exp real exp rational-exp-special-form 1
real/sqrt_scaled_exp real sqrt generic-computable 1
real/sqrt_scaled_rational computable constructor shared-constant-wrapper 1
real/sqrt_scaled_rational computable constructor shared-sqrt-constant-probe 1
real/sqrt_scaled_rational real best_sign symbolic-or-rational 1
real/sqrt_scaled_rational real constructor rational 1
real/sqrt_scaled_rational real sqrt scaled-shared-sqrt-constant 1
real/stable_scalar_substrate computable constructor one 4
real/stable_scalar_substrate computable constructor rational-node 30
real/stable_scalar_substrate computable constructor rational-one-canonicalized 1
real/stable_scalar_substrate computable constructor shared-constant-wrapper 4
real/stable_scalar_substrate computable exp ln2-range-reduction 4
real/stable_scalar_substrate computable exp structural-large-range-reduction 4
real/stable_scalar_substrate computable exp structural-small-prescaled 1
real/stable_scalar_substrate computable ln exact-rational-direct-ln1p 1
real/stable_scalar_substrate computable sqrt generic-sqrt-node 2
real/stable_scalar_substrate real best_sign symbolic-or-rational 3
real/stable_scalar_substrate real certified_cmp_until exact-rational-comparison 1
real/stable_scalar_substrate real constructor bigint 1
real/stable_scalar_substrate real constructor one 5
real/stable_scalar_substrate real constructor rational 20
real/stable_scalar_substrate real constructor zero 1
real/stable_scalar_substrate real definitely_zero rational-sign 10
real/stable_scalar_substrate real div lhs-rational-symbolic-inverse 2
real/stable_scalar_substrate real div same-class 1
real/stable_scalar_substrate real expm1 generic-computable 1
real/stable_scalar_substrate real integer-rounding floor-exact-rational 2
real/stable_scalar_substrate real integer-rounding rem-euclid-certified 1
real/stable_scalar_substrate real inverse_ref generic 2
real/stable_scalar_substrate real ln rational-inverse-ln-special-form 1
real/stable_scalar_substrate real ln_1m exact-rational-computable 1
real/stable_scalar_substrate real ln_1p exact-rational-computable 1
real/stable_scalar_substrate real logaddexp left-dominant 1
real/stable_scalar_substrate real logit exact-rational-stable-logs 1
real/stable_scalar_substrate real logsubexp left-dominant 1
real/stable_scalar_substrate real pow_rational negative-odd-denominator-root 1
real/stable_scalar_substrate real powi exponent-one 1
real/stable_scalar_substrate real root_n rational-perfect-root 3
real/stable_scalar_substrate real sigmoid exact-rational-tail 1
real/stable_scalar_substrate real softplus exact-rational-tail 2
real/stable_scalar_substrate real sqrt rational-sqrt-special-form 2
real/stable_scalar_substrate real sqrt1pm1 rationalized 2
real/structural_queries computable constructor cached-pi 2
real/structural_queries computable constructor rational-node 1
real/structural_queries computable constructor shared-constant-wrapper 2
real/structural_queries computable structural_facts exact-sign-cache 1
real/structural_queries real constructor cached-pi 1
real/structural_queries real constructor rational 1
real/structural_queries real structural_facts symbolic-nonzero-scale 1
real/structural_queries real sub cached-pi-minus-three 1
real/structural_queries real zero_status symbolic-nonzero-scale 1
real/trig/general computable constructor prescaled-cos-half-pi-minus-rational 1
real/trig/general computable constructor prescaled-cot-half-pi-minus-rational 1
real/trig/general computable constructor prescaled-sin-half-pi-minus-rational 1
real/trig/general computable cos medium-rational-half-pi-rewrite 1
real/trig/general computable sin medium-rational-half-pi-rewrite 1
real/trig/general computable tan medium-rational-half-pi-cotangent 1
real/trig/general real constructor rational 1
real/trig/general real cos rational-specialized-computable 1
real/trig/general real definitely_zero rational-sign 3
real/trig/general real sin rational-specialized-computable 1
real/trig/general real tan rational-specialized-computable 1
real/trig/large computable constructor cos-large-rational-deferred 1
real/trig/large computable constructor sin-large-rational-deferred 1
real/trig/large real constructor rational 1
real/trig/large real cos large-rational-deferred-node 1
real/trig/large real definitely_zero rational-sign 2
real/trig/large real sin large-rational-deferred-node 1
real/trig/large-exact-rational computable constructor cos-large-rational-deferred 2
real/trig/large-exact-rational computable constructor sin-large-rational-deferred 2
real/trig/large-exact-rational computable constructor tan-large-rational-deferred 2
real/trig/large-exact-rational computable tan large-rational-deferred 2
real/trig/large-exact-rational real constructor rational 2
real/trig/large-exact-rational real cos large-rational-deferred-node 2
real/trig/large-exact-rational real definitely_zero rational-sign 6
real/trig/large-exact-rational real sin large-rational-deferred-node 2
real/trig/large-exact-rational real tan rational-specialized-computable 2