Time bar (total: 10.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 31.2% | 68.6% | 0.1% | 7 |
| 40.6% | 59.3% | 0.1% | 8 |
| 43.7% | 56.2% | 0.1% | 9 |
| 56.6% | 43.3% | 0.1% | 10 |
| 61% | 37.3% | 1.7% | 11 |
| 62.1% | 34.8% | 3.1% | 12 |
| 68.6% | 25.6% | 5.8% | 13 |
| 70.6% | 22.1% | 7.4% | 14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
| 1.0ms | 48× | body | 128 | invalid |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
| 917× | exp-prod_binary64_130 |
| 409× | associate-/l/_binary64_25 |
| 323× | times-frac_binary64_84 |
| 304× | *-commutative_binary64_9 |
| 291× | swap-sqr_binary64_45 |
| 253× | associate-/r*_binary64_22 |
| 184× | associate--r+_binary64_14 |
| 181× | associate--l+_binary64_15 |
| 173× | associate-+l+_binary64_11 |
| 150× | distribute-rgt1-in_binary64_34 |
| 145× | unsub-neg_binary64_72 |
| 140× | sub-neg_binary64_71 |
| 132× | distribute-lft-neg-in_binary64_35 |
| 129× | associate-+l-_binary64_13 |
| 127× | distribute-rgt-neg-in_binary64_36 associate--l-_binary64_16 |
| 115× | associate--r-_binary64_17 |
| 114× | associate-/r/_binary64_24 |
| 112× | associate-+r-_binary64_12 |
| 105× | cancel-sign-sub-inv_binary64_44 |
| 104× | distribute-rgt-in_binary64_28 |
| 94× | pow-plus_binary64_141 |
| 75× | div-sub_binary64_83 distribute-neg-in_binary64_39 |
| 74× | exp-sum_binary64_124 |
| 73× | neg-mul-1_binary64_74 |
| 62× | distribute-neg-frac_binary64_42 |
| 61× | neg-sub0_binary64_73 |
| 56× | distribute-rgt-neg-out_binary64_38 |
| 53× | sqr-pow_binary64_50 |
| 51× | distribute-frac-neg_binary64_41 |
| 49× | distribute-lft-in_binary64_27 |
| 41× | distribute-lft-neg-out_binary64_37 |
| 40× | associate-/l*_binary64_23 |
| 38× | +-commutative_binary64_8 |
| 34× | associate-*r*_binary64_18 |
| 30× | exp-diff_binary64_126 |
| 29× | distribute-rgt-out--_binary64_32 |
| 25× | distribute-rgt-out_binary64_31 |
| 24× | associate-+r+_binary64_10 |
| 21× | remove-double-neg_binary64_66 |
| 20× | pow-base-1_binary64_138 pow-sqr_binary64_51 |
| 17× | associate-*l*_binary64_19 |
| 16× | sub0-neg_binary64_65 |
| 15× | unswap-sqr_binary64_46 |
| 11× | exp-lft-sqr_binary64_133 |
| 10× | exp-neg_binary64_125 +-rgt-identity_binary64_63 mul0-rgt_binary64_61 |
| 9× | cube-unmult_binary64_115 mul0-lft_binary64_60 div0_binary64_59 distribute-neg-out_binary64_40 |
| 8× | --rgt-identity_binary64_64 difference-of-squares_binary64_47 |
| 7× | *-rgt-identity_binary64_68 *-lft-identity_binary64_67 |
| 6× | cube-prod_binary64_106 count-2_binary64_26 associate-*l/_binary64_21 |
| 5× | distribute-lft1-in_binary64_33 |
| 4× | distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29 associate-*r/_binary64_20 |
| 3× | +-inverses_binary64_57 |
| 2× | unpow3_binary64_144 sqr-neg_binary64_92 +-lft-identity_binary64_62 difference-of-sqr--1_binary64_49 |
| 1× | 1-exp_binary64_122 cube-neg_binary64_105 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 log-pow_binary64_167 log-rec_binary64_166 log-div_binary64_165 log-prod_binary64_164 pow-base-0_binary64_162 unpow1/3_binary64_145 unpow2_binary64_143 unpow1/2_binary64_142 exp-to-pow_binary64_140 unpow0_binary64_137 unpow1_binary64_136 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-cbrt_binary64_132 exp-sqrt_binary64_131 div-exp_binary64_129 rec-exp_binary64_128 prod-exp_binary64_127 e-exp-1_binary64_123 exp-1-e_binary64_121 exp-0_binary64_120 rem-log-exp_binary64_119 rem-exp-log_binary64_118 cube-mult_binary64_108 cube-div_binary64_107 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 rem-sqrt-square_binary64_91 rem-square-sqrt_binary64_90 mul-1-neg_binary64_70 /-rgt-identity_binary64_69 *-inverses_binary64_58 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 difference-of-sqr-1_binary64_48 cancel-sign-sub_binary64_43 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 13 | 10 |
| 2 | 24 | 10 |
| 3 | 41 | 10 |
| 4 | 78 | 10 |
| 5 | 130 | 10 |
| 6 | 356 | 10 |
| 7 | 582 | 10 |
| 8 | 2240 | 10 |
| 9 | 4779 | 10 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
Compiled 7 to 6 computations (14.3% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 (-.f64 y x) z) |
| 0.0b | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity_binary64_78 |
| 20× | add-sqr-sqrt_binary64_100 |
| 15× | times-frac_binary64_84 |
| 12× | add-cube-cbrt_binary64_113 |
| 5× | associate-/l*_binary64_23 |
| 4× | add-log-exp_binary64_117 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 difference-of-squares_binary64_47 distribute-lft-out--_binary64_30 |
| 3× | associate-/r*_binary64_22 |
| 2× | pow1_binary64_139 div-sub_binary64_83 associate-/l/_binary64_25 |
| 1× | sum-log_binary64_169 flip3-+_binary64_81 flip-+_binary64_52 distribute-lft-out_binary64_29 associate-+r-_binary64_12 +-commutative_binary64_8 div-exp_binary64_129 cbrt-undiv_binary64_112 frac-2neg_binary64_89 clear-num_binary64_77 div-inv_binary64_75 flip3--_binary64_82 flip--_binary64_53 |
2 calls:
| 9.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 6.0ms | (/.f64 (-.f64 y x) z) |
Compiled 748 to 211 computations (71.8% saved)
2 calls:
| 228.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 174.0ms | (/.f64 (-.f64 y x) z) |
Compiled 620 to 372 computations (40% saved)
| 1× | egg-herbie |
| 672× | associate-+l+_binary64_11 |
| 279× | div-sub_binary64_83 |
| 256× | associate-/l/_binary64_25 |
| 236× | distribute-rgt-in_binary64_28 |
| 233× | associate-/r*_binary64_22 |
| 221× | distribute-lft-in_binary64_27 |
| 195× | distribute-rgt-neg-out_binary64_38 |
| 186× | distribute-lft-neg-out_binary64_37 |
| 179× | associate-/r/_binary64_24 |
| 124× | unsub-neg_binary64_72 |
| 115× | associate-*l/_binary64_21 |
| 103× | sub-neg_binary64_71 associate-*l*_binary64_19 |
| 94× | associate-/l*_binary64_23 |
| 88× | associate-*r*_binary64_18 |
| 87× | associate-*r/_binary64_20 |
| 78× | distribute-neg-in_binary64_39 |
| 76× | times-frac_binary64_84 |
| 73× | associate-+l-_binary64_13 |
| 71× | cancel-sign-sub-inv_binary64_44 |
| 70× | distribute-rgt-out_binary64_31 |
| 65× | *-commutative_binary64_9 |
| 62× | associate--r+_binary64_14 associate-+r-_binary64_12 |
| 58× | distribute-neg-frac_binary64_42 |
| 57× | neg-sub0_binary64_73 |
| 46× | exp-prod_binary64_130 |
| 44× | associate--l+_binary64_15 |
| 43× | distribute-frac-neg_binary64_41 |
| 39× | neg-mul-1_binary64_74 |
| 37× | associate--l-_binary64_16 +-commutative_binary64_8 |
| 35× | distribute-rgt-neg-in_binary64_36 distribute-lft-neg-in_binary64_35 |
| 34× | associate-+r+_binary64_10 |
| 31× | distribute-rgt-out--_binary64_32 |
| 29× | sqr-pow_binary64_50 |
| 24× | cube-prod_binary64_106 |
| 23× | *-lft-identity_binary64_67 distribute-neg-out_binary64_40 |
| 21× | exp-diff_binary64_126 |
| 19× | exp-sum_binary64_124 |
| 18× | log-prod_binary64_164 |
| 17× | pow-sqr_binary64_51 |
| 15× | associate--r-_binary64_17 |
| 14× | unswap-sqr_binary64_46 distribute-lft-out_binary64_29 |
| 13× | prod-exp_binary64_127 /-rgt-identity_binary64_69 |
| 12× | +-rgt-identity_binary64_63 swap-sqr_binary64_45 |
| 9× | div-exp_binary64_129 |
| 8× | remove-double-neg_binary64_66 sub0-neg_binary64_65 |
| 7× | log-div_binary64_165 cube-div_binary64_107 mul-1-neg_binary64_70 *-rgt-identity_binary64_68 |
| 6× | sqr-neg_binary64_92 |
| 5× | unpow3_binary64_144 |
| 4× | cube-neg_binary64_105 |
| 3× | rec-exp_binary64_128 cube-unmult_binary64_115 distribute-lft-out--_binary64_30 |
| 2× | cube-mult_binary64_108 --rgt-identity_binary64_64 difference-of-squares_binary64_47 cancel-sign-sub_binary64_43 distribute-rgt1-in_binary64_34 |
| 1× | log-pow_binary64_167 log-rec_binary64_166 pow-plus_binary64_141 pow-base-1_binary64_138 exp-neg_binary64_125 1-exp_binary64_122 rem-log-exp_binary64_119 mul0-lft_binary64_60 div0_binary64_59 distribute-lft1-in_binary64_33 count-2_binary64_26 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 pow-base-0_binary64_162 unpow1/3_binary64_145 unpow2_binary64_143 unpow1/2_binary64_142 exp-to-pow_binary64_140 unpow0_binary64_137 unpow1_binary64_136 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-lft-sqr_binary64_133 exp-cbrt_binary64_132 exp-sqrt_binary64_131 e-exp-1_binary64_123 exp-1-e_binary64_121 exp-0_binary64_120 rem-exp-log_binary64_118 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 rem-sqrt-square_binary64_91 rem-square-sqrt_binary64_90 +-lft-identity_binary64_62 mul0-rgt_binary64_61 *-inverses_binary64_58 +-inverses_binary64_57 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 difference-of-sqr--1_binary64_49 difference-of-sqr-1_binary64_48 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1015 |
| 1 | 262 | 962 |
| 2 | 653 | 953 |
| 3 | 1977 | 953 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 3 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 53 | 3 | 56 |
Compiled 707 to 173 computations (75.5% saved)
Found 2 expressions with local error:
| 0.0b | (-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z)) |
| 0.0b | (+.f64 (/.f64 y z) x) |
| 1× | rewrite-expression-head |
| 16× | *-un-lft-identity_binary64_78 |
| 14× | add-sqr-sqrt_binary64_100 |
| 13× | cancel-sign-sub-inv_binary64_44 |
| 10× | times-frac_binary64_84 |
| 9× | add-log-exp_binary64_117 add-cube-cbrt_binary64_113 |
| 2× | sum-log_binary64_169 pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 flip3-+_binary64_81 flip-+_binary64_52 distribute-lft-out_binary64_29 diff-log_binary64_170 frac-sub_binary64_87 difference-of-squares_binary64_47 distribute-lft-out--_binary64_30 |
| 1× | +-commutative_binary64_8 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 div-inv_binary64_75 associate--l+_binary64_15 |
2 calls:
| 14.0ms | (-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z)) |
| 7.0ms | (+.f64 (/.f64 y z) x) |
Compiled 813 to 192 computations (76.4% saved)
2 calls:
| 278.0ms | (+.f64 (/.f64 y z) x) |
| 216.0ms | (-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z)) |
Compiled 666 to 370 computations (44.4% saved)
| 1× | egg-herbie |
| 333× | div-sub_binary64_83 |
| 327× | unsub-neg_binary64_72 |
| 311× | associate-*l*_binary64_19 |
| 266× | distribute-rgt-in_binary64_28 |
| 262× | distribute-rgt-neg-out_binary64_38 |
| 255× | associate-*r*_binary64_18 |
| 250× | associate-/l*_binary64_23 |
| 249× | cancel-sign-sub-inv_binary64_44 |
| 241× | distribute-lft-in_binary64_27 |
| 233× | associate-*l/_binary64_21 |
| 164× | associate-*r/_binary64_20 |
| 148× | exp-prod_binary64_130 |
| 146× | times-frac_binary64_84 sub-neg_binary64_71 |
| 129× | distribute-frac-neg_binary64_41 |
| 128× | neg-sub0_binary64_73 |
| 123× | *-commutative_binary64_9 |
| 116× | distribute-neg-frac_binary64_42 |
| 88× | neg-mul-1_binary64_74 |
| 78× | associate-/l/_binary64_25 |
| 77× | distribute-lft-neg-out_binary64_37 |
| 69× | exp-sum_binary64_124 associate-+l+_binary64_11 |
| 64× | associate-/r*_binary64_22 |
| 62× | sqr-pow_binary64_50 |
| 61× | +-commutative_binary64_8 |
| 54× | swap-sqr_binary64_45 |
| 50× | distribute-neg-in_binary64_39 |
| 49× | unswap-sqr_binary64_46 |
| 48× | associate-+r+_binary64_10 |
| 47× | distribute-rgt-neg-in_binary64_36 |
| 46× | *-lft-identity_binary64_67 |
| 43× | cube-prod_binary64_106 |
| 41× | distribute-neg-out_binary64_40 |
| 40× | associate-/r/_binary64_24 |
| 35× | mul0-lft_binary64_60 |
| 34× | mul0-rgt_binary64_61 |
| 28× | *-rgt-identity_binary64_68 pow-sqr_binary64_51 |
| 27× | distribute-lft-neg-in_binary64_35 |
| 25× | difference-of-squares_binary64_47 |
| 22× | cube-div_binary64_107 |
| 20× | exp-diff_binary64_126 associate-+r-_binary64_12 |
| 18× | +-rgt-identity_binary64_63 div0_binary64_59 associate--l+_binary64_15 |
| 15× | /-rgt-identity_binary64_69 associate-+l-_binary64_13 |
| 14× | div-exp_binary64_129 |
| 12× | cube-unmult_binary64_115 |
| 11× | prod-exp_binary64_127 remove-double-div_binary64_54 |
| 10× | sub0-neg_binary64_65 |
| 9× | exp-neg_binary64_125 associate--r+_binary64_14 |
| 8× | unpow3_binary64_144 |
| 7× | distribute-rgt-out_binary64_31 |
| 6× | cube-mult_binary64_108 sqr-neg_binary64_92 mul-1-neg_binary64_70 |
| 5× | rem-sqrt-square_binary64_91 |
| 3× | pow-plus_binary64_141 rec-exp_binary64_128 rem-square-sqrt_binary64_90 remove-double-neg_binary64_66 distribute-rgt-out--_binary64_32 |
| 2× | rem-3cbrt-lft_binary64_103 associate--r-_binary64_17 |
| 1× | 1-exp_binary64_122 exp-1-e_binary64_121 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 --rgt-identity_binary64_64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 log-pow_binary64_167 log-rec_binary64_166 log-div_binary64_165 log-prod_binary64_164 pow-base-0_binary64_162 unpow1/3_binary64_145 unpow2_binary64_143 unpow1/2_binary64_142 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 unpow1_binary64_136 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-lft-sqr_binary64_133 exp-cbrt_binary64_132 exp-sqrt_binary64_131 e-exp-1_binary64_123 exp-0_binary64_120 rem-log-exp_binary64_119 rem-exp-log_binary64_118 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 +-lft-identity_binary64_62 *-inverses_binary64_58 +-inverses_binary64_57 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 difference-of-sqr--1_binary64_49 difference-of-sqr-1_binary64_48 cancel-sign-sub_binary64_43 distribute-rgt1-in_binary64_34 distribute-lft1-in_binary64_33 distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29 count-2_binary64_26 associate--l-_binary64_16 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 967 |
| 1 | 345 | 874 |
| 2 | 1015 | 853 |
| 3 | 3581 | 853 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 1 | 123 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 122 | 4 | 126 |
Compiled 2453 to 333 computations (86.4% saved)
Found 4 expressions with local error:
| 0.3b | (/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (cbrt.f64 z)) |
| 0.5b | (cbrt.f64 z) |
| 0.5b | (cbrt.f64 z) |
| 0.5b | (cbrt.f64 z) |
| 1× | rewrite-expression-head |
| 414× | times-frac_binary64_84 |
| 280× | add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78 |
| 219× | cbrt-prod_binary64_109 |
| 196× | add-cube-cbrt_binary64_113 |
| 42× | difference-of-squares_binary64_47 distribute-lft-out--_binary64_30 |
| 34× | associate-/l*_binary64_23 |
| 9× | add-exp-log_binary64_116 |
| 8× | div-inv_binary64_75 |
| 6× | add-cbrt-cube_binary64_114 associate-/r*_binary64_22 |
| 4× | pow1_binary64_139 add-log-exp_binary64_117 |
| 3× | pow1/3_binary64_160 div-exp_binary64_129 cbrt-undiv_binary64_112 |
| 2× | div-sub_binary64_83 |
| 1× | frac-2neg_binary64_89 clear-num_binary64_77 associate-/l/_binary64_25 |
4 calls:
| 16.0ms | (/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (cbrt.f64 z)) |
| 1.0ms | (cbrt.f64 z) |
| 1.0ms | (cbrt.f64 z) |
| 1.0ms | (cbrt.f64 z) |
Compiled 8012 to 1732 computations (78.4% saved)
4 calls:
| 701.0ms | (/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (cbrt.f64 z)) |
| 119.0ms | (cbrt.f64 z) |
| 118.0ms | (cbrt.f64 z) |
| 110.0ms | (cbrt.f64 z) |
Compiled 1221 to 919 computations (24.7% saved)
| 1× | egg-herbie |
| 559× | associate-/r/_binary64_24 |
| 450× | div-sub_binary64_83 |
| 394× | unswap-sqr_binary64_46 |
| 297× | associate-*l/_binary64_21 |
| 232× | associate-*l*_binary64_19 |
| 215× | associate-/l/_binary64_25 |
| 202× | associate-*r*_binary64_18 |
| 191× | associate-*r/_binary64_20 |
| 182× | sub-neg_binary64_71 |
| 151× | associate-/r*_binary64_22 |
| 132× | *-commutative_binary64_9 |
| 103× | neg-sub0_binary64_73 |
| 99× | neg-mul-1_binary64_74 |
| 92× | associate-/l*_binary64_23 |
| 84× | log-prod_binary64_164 |
| 60× | times-frac_binary64_84 sqr-pow_binary64_50 |
| 51× | distribute-rgt-in_binary64_28 |
| 49× | distribute-lft-in_binary64_27 |
| 45× | log-div_binary64_165 |
| 41× | /-rgt-identity_binary64_69 |
| 36× | exp-prod_binary64_130 |
| 35× | pow-sqr_binary64_51 |
| 34× | cube-prod_binary64_106 |
| 28× | distribute-neg-frac_binary64_42 |
| 26× | distribute-rgt-neg-in_binary64_36 |
| 25× | cube-div_binary64_107 distribute-lft-neg-in_binary64_35 |
| 24× | cancel-sign-sub-inv_binary64_44 |
| 23× | *-lft-identity_binary64_67 |
| 21× | +-commutative_binary64_8 |
| 20× | unsub-neg_binary64_72 |
| 19× | *-rgt-identity_binary64_68 |
| 18× | pow-plus_binary64_141 |
| 16× | div-exp_binary64_129 prod-exp_binary64_127 swap-sqr_binary64_45 |
| 15× | cube-unmult_binary64_115 |
| 13× | log-pow_binary64_167 |
| 9× | associate-+l-_binary64_13 |
| 8× | rem-sqrt-square_binary64_91 sub0-neg_binary64_65 |
| 6× | exp-sqrt_binary64_131 associate--r+_binary64_14 |
| 5× | distribute-lft-neg-out_binary64_37 associate-+r-_binary64_12 |
| 4× | unpow3_binary64_144 rec-exp_binary64_128 cube-mult_binary64_108 mul-1-neg_binary64_70 distribute-neg-in_binary64_39 distribute-rgt-neg-out_binary64_38 distribute-rgt-out_binary64_31 |
| 3× | log-rec_binary64_166 unpow1/3_binary64_145 exp-lft-sqr_binary64_133 exp-diff_binary64_126 remove-double-neg_binary64_66 +-rgt-identity_binary64_63 distribute-rgt-out--_binary64_32 count-2_binary64_26 associate--r-_binary64_17 associate--l+_binary64_15 |
| 2× | unpow2_binary64_143 unpow1_binary64_136 rem-3cbrt-lft_binary64_103 div0_binary64_59 associate--l-_binary64_16 associate-+l+_binary64_11 associate-+r+_binary64_10 |
| 1× | exp-sum_binary64_124 1-exp_binary64_122 exp-1-e_binary64_121 rem-log-exp_binary64_119 rem-3cbrt-rft_binary64_104 rem-cbrt-cube_binary64_102 sqr-neg_binary64_92 rem-square-sqrt_binary64_90 mul0-rgt_binary64_61 mul0-lft_binary64_60 *-inverses_binary64_58 rgt-mult-inverse_binary64_55 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 pow-base-0_binary64_162 unpow1/2_binary64_142 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-cbrt_binary64_132 exp-neg_binary64_125 e-exp-1_binary64_123 exp-0_binary64_120 rem-exp-log_binary64_118 cube-neg_binary64_105 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 --rgt-identity_binary64_64 +-lft-identity_binary64_62 +-inverses_binary64_57 lft-mult-inverse_binary64_56 remove-double-div_binary64_54 difference-of-sqr--1_binary64_49 difference-of-sqr-1_binary64_48 difference-of-squares_binary64_47 cancel-sign-sub_binary64_43 distribute-rgt1-in_binary64_34 distribute-lft1-in_binary64_33 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 364 | 9869 |
| 1 | 804 | 9457 |
| 2 | 1522 | 9150 |
| 3 | 3854 | 8574 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2160 | 1 | 2161 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 2161 | 4 | 2165 |
Compiled 61890 to 15365 computations (75.2% saved)
Found 4 expressions with local error:
| 0.3b | (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (-.f64 y x)) (cbrt.f64 z)) |
| 0.4b | (/.f64 1 (*.f64 z z)) |
| 0.5b | (cbrt.f64 z) |
| 26.8b | (cbrt.f64 (/.f64 1 (*.f64 z z))) |
| 1× | rewrite-expression-head |
| 20× | add-exp-log_binary64_116 |
| 16× | cbrt-prod_binary64_109 |
| 13× | add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78 |
| 12× | pow1_binary64_139 times-frac_binary64_84 |
| 11× | add-cbrt-cube_binary64_114 |
| 7× | associate-/r*_binary64_22 |
| 6× | pow-flip_binary64_152 div-exp_binary64_129 |
| 5× | associate-/l/_binary64_25 |
| 4× | add-log-exp_binary64_117 cbrt-div_binary64_110 prod-exp_binary64_127 cbrt-undiv_binary64_112 associate-/l*_binary64_23 |
| 3× | div-inv_binary64_75 |
| 2× | pow1/3_binary64_160 1-exp_binary64_122 rec-exp_binary64_128 cbrt-unprod_binary64_111 frac-2neg_binary64_89 clear-num_binary64_77 flip3--_binary64_82 frac-times_binary64_88 flip--_binary64_53 associate-*r/_binary64_20 |
| 1× | inv-pow_binary64_163 pow2_binary64_159 pow-prod-down_binary64_149 pow-prod-up_binary64_148 pow-plus_binary64_141 pow-sqr_binary64_51 associate-*l/_binary64_21 |
4 calls:
| 10.0ms | (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (-.f64 y x)) (cbrt.f64 z)) |
| 5.0ms | (/.f64 1 (*.f64 z z)) |
| 4.0ms | (cbrt.f64 (/.f64 1 (*.f64 z z))) |
| 1.0ms | (cbrt.f64 z) |
Compiled 1871 to 860 computations (54% saved)
4 calls:
| 183.0ms | (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (-.f64 y x)) (cbrt.f64 z)) |
| 119.0ms | (cbrt.f64 z) |
| 109.0ms | (cbrt.f64 (/.f64 1 (*.f64 z z))) |
| 30.0ms | (/.f64 1 (*.f64 z z)) |
Compiled 750 to 525 computations (30% saved)
| 1× | egg-herbie |
| 565× | associate-/r*_binary64_22 |
| 363× | associate-*l/_binary64_21 |
| 351× | associate-/l/_binary64_25 |
| 277× | associate-*r/_binary64_20 |
| 246× | distribute-rgt-in_binary64_28 |
| 242× | distribute-lft-in_binary64_27 |
| 217× | associate-/r/_binary64_24 |
| 102× | unswap-sqr_binary64_46 |
| 85× | associate-/l*_binary64_23 |
| 84× | associate-*l*_binary64_19 |
| 75× | associate-*r*_binary64_18 |
| 74× | times-frac_binary64_84 |
| 53× | log-prod_binary64_164 |
| 42× | log-div_binary64_165 |
| 35× | div-sub_binary64_83 *-commutative_binary64_9 |
| 33× | sub-neg_binary64_71 |
| 32× | sqr-pow_binary64_50 |
| 31× | cube-prod_binary64_106 distribute-rgt-neg-in_binary64_36 |
| 29× | distribute-lft-neg-in_binary64_35 |
| 27× | neg-sub0_binary64_73 swap-sqr_binary64_45 |
| 26× | distribute-neg-frac_binary64_42 |
| 25× | cube-div_binary64_107 cancel-sign-sub-inv_binary64_44 distribute-rgt-neg-out_binary64_38 |
| 24× | exp-prod_binary64_130 neg-mul-1_binary64_74 distribute-lft-neg-out_binary64_37 |
| 22× | *-rgt-identity_binary64_68 associate-+r+_binary64_10 |
| 21× | associate-+l+_binary64_11 |
| 18× | pow-sqr_binary64_51 |
| 15× | associate--r+_binary64_14 |
| 14× | pow-plus_binary64_141 cube-unmult_binary64_115 |
| 12× | log-pow_binary64_167 distribute-neg-in_binary64_39 associate-+l-_binary64_13 |
| 11× | +-commutative_binary64_8 |
| 10× | /-rgt-identity_binary64_69 distribute-rgt-out_binary64_31 associate--l+_binary64_15 |
| 9× | rem-sqrt-square_binary64_91 *-lft-identity_binary64_67 |
| 8× | distribute-frac-neg_binary64_41 |
| 7× | associate--l-_binary64_16 associate-+r-_binary64_12 |
| 6× | log-rec_binary64_166 count-2_binary64_26 |
| 4× | distribute-lft-out_binary64_29 |
| 3× | unpow1/3_binary64_145 unsub-neg_binary64_72 mul-1-neg_binary64_70 |
| 2× | rem-3cbrt-lft_binary64_103 associate--r-_binary64_17 |
| 1× | unpow2_binary64_143 unpow1_binary64_136 prod-exp_binary64_127 1-exp_binary64_122 rem-log-exp_binary64_119 rem-cbrt-cube_binary64_102 remove-double-neg_binary64_66 sub0-neg_binary64_65 +-rgt-identity_binary64_63 *-inverses_binary64_58 cancel-sign-sub_binary64_43 distribute-lft1-in_binary64_33 distribute-lft-out--_binary64_30 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 pow-base-0_binary64_162 unpow3_binary64_144 unpow1/2_binary64_142 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-lft-sqr_binary64_133 exp-cbrt_binary64_132 exp-sqrt_binary64_131 div-exp_binary64_129 rec-exp_binary64_128 exp-diff_binary64_126 exp-neg_binary64_125 exp-sum_binary64_124 e-exp-1_binary64_123 exp-1-e_binary64_121 exp-0_binary64_120 rem-exp-log_binary64_118 cube-mult_binary64_108 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 sqr-neg_binary64_92 rem-square-sqrt_binary64_90 --rgt-identity_binary64_64 +-lft-identity_binary64_62 mul0-rgt_binary64_61 mul0-lft_binary64_60 div0_binary64_59 +-inverses_binary64_57 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 difference-of-sqr--1_binary64_49 difference-of-sqr-1_binary64_48 difference-of-squares_binary64_47 distribute-neg-out_binary64_40 distribute-rgt1-in_binary64_34 distribute-rgt-out--_binary64_32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1610 |
| 1 | 336 | 1419 |
| 2 | 1288 | 1292 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 0 | 177 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 177 | 4 | 181 |
Compiled 3683 to 1849 computations (49.8% saved)
Total 0.0b remaining (84%)
Threshold costs 0.0b (84%)
Compiled 1927 to 1242 computations (35.5% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64_8 |
| 3× | sub-neg_binary64_71 |
| 2× | neg-mul-1_binary64_74 neg-sub0_binary64_73 *-commutative_binary64_9 |
| 1× | distribute-neg-frac_binary64_42 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 unpow1_binary64_136 e-exp-1_binary64_123 1-exp_binary64_122 exp-1-e_binary64_121 exp-0_binary64_120 sqr-abs_binary64_93 sqr-neg_binary64_92 unsub-neg_binary64_72 mul-1-neg_binary64_70 /-rgt-identity_binary64_69 *-rgt-identity_binary64_68 *-lft-identity_binary64_67 remove-double-neg_binary64_66 sub0-neg_binary64_65 --rgt-identity_binary64_64 +-rgt-identity_binary64_63 +-lft-identity_binary64_62 cancel-sign-sub-inv_binary64_44 cancel-sign-sub_binary64_43 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 distribute-neg-in_binary64_39 distribute-rgt-neg-out_binary64_38 distribute-lft-neg-out_binary64_37 distribute-rgt-neg-in_binary64_36 distribute-lft-neg-in_binary64_35 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 11 | 13 |
| 2 | 18 | 13 |
| 3 | 22 | 13 |
| 4 | 25 | 13 |
| 5 | 26 | 13 |
(- f64 (+ f64 h0 (/ f64 h1 h2)) (/ f64 h0 h2)) |
| 1× | intervals |
| 196.0ms | 8000× | body | 128 | valid |
| 36.0ms | 1404× | body | 128 | invalid |
Compiled 476 to 311 computations (34.7% saved)
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