Time bar (total: 6.8s)
| 1× | search |
| 2× | egg-herbie |
| 692× | times-frac_binary64_84 |
| 432× | unswap-sqr_binary64_46 |
| 342× | associate-/r/_binary64_24 |
| 306× | associate-/l/_binary64_25 |
| 302× | associate-*l*_binary64_19 |
| 258× | associate-*l/_binary64_21 |
| 230× | *-commutative_binary64_9 |
| 224× | associate-*r*_binary64_18 |
| 204× | neg-mul-1_binary64_74 |
| 186× | associate-*r/_binary64_20 |
| 182× | neg-sub0_binary64_73 |
| 178× | associate-/l*_binary64_23 |
| 156× | div-sub_binary64_83 |
| 136× | associate-/r*_binary64_22 |
| 94× | exp-prod_binary64_130 |
| 84× | distribute-frac-neg_binary64_41 |
| 80× | sqr-pow_binary64_50 |
| 72× | distribute-rgt-neg-out_binary64_38 |
| 70× | *-lft-identity_binary64_67 |
| 68× | *-rgt-identity_binary64_68 distribute-lft-neg-out_binary64_37 |
| 42× | prod-exp_binary64_127 remove-double-div_binary64_54 |
| 36× | pow-sqr_binary64_51 |
| 34× | distribute-rgt-in_binary64_28 |
| 32× | /-rgt-identity_binary64_69 |
| 28× | distribute-rgt-neg-in_binary64_36 |
| 26× | unpow3_binary64_144 pow-plus_binary64_141 exp-sum_binary64_124 distribute-lft-in_binary64_27 |
| 24× | exp-diff_binary64_126 cube-prod_binary64_106 |
| 22× | rec-exp_binary64_128 distribute-neg-frac_binary64_42 |
| 20× | cube-unmult_binary64_115 distribute-lft-neg-in_binary64_35 |
| 18× | sub-neg_binary64_71 |
| 16× | exp-lft-sqr_binary64_133 |
| 14× | exp-sqrt_binary64_131 exp-neg_binary64_125 cancel-sign-sub-inv_binary64_44 |
| 12× | distribute-neg-in_binary64_39 +-commutative_binary64_8 |
| 8× | div-exp_binary64_129 rem-sqrt-square_binary64_91 distribute-rgt-out_binary64_31 |
| 6× | unpow2_binary64_143 cube-div_binary64_107 remove-double-neg_binary64_66 associate--l-_binary64_16 |
| 4× | sin-neg_binary64_208 unpow1_binary64_136 sub0-neg_binary64_65 distribute-lft-out_binary64_29 |
| 2× | unpow1/2_binary64_142 cube-mult_binary64_108 --rgt-identity_binary64_64 +-rgt-identity_binary64_63 associate--r+_binary64_14 associate-+l-_binary64_13 |
| 1× | exp-1-e_binary64_121 exp-0_binary64_120 |
| 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 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 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 e-exp-1_binary64_123 1-exp_binary64_122 rem-log-exp_binary64_119 rem-exp-log_binary64_118 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 sqr-neg_binary64_92 rem-square-sqrt_binary64_90 unsub-neg_binary64_72 mul-1-neg_binary64_70 +-lft-identity_binary64_62 mul0-rgt_binary64_61 mul0-lft_binary64_60 div0_binary64_59 *-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 difference-of-squares_binary64_47 swap-sqr_binary64_45 cancel-sign-sub_binary64_43 distribute-neg-out_binary64_40 distribute-rgt1-in_binary64_34 distribute-lft1-in_binary64_33 distribute-rgt-out--_binary64_32 distribute-lft-out--_binary64_30 count-2_binary64_26 associate--r-_binary64_17 associate--l+_binary64_15 associate-+r-_binary64_12 associate-+l+_binary64_11 associate-+r+_binary64_10 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 36 |
| 1 | 48 | 36 |
| 2 | 117 | 36 |
| 3 | 159 | 36 |
| 4 | 205 | 36 |
| 5 | 305 | 36 |
| 6 | 541 | 36 |
| 7 | 1305 | 36 |
| 8 | 3148 | 36 |
| 9 | 3225 | 36 |
| 10 | 4346 | 36 |
| 11 | 4892 | 36 |
| 12 | 4943 | 36 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 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 |
| 25% | 74.9% | 0.1% | 4 |
| 62.4% | 37.5% | 0.1% | 5 |
| 62.4% | 37.5% | 0.1% | 6 |
| 62.4% | 31.2% | 6.3% | 7 |
| 62.4% | 31.2% | 6.3% | 8 |
| 62.4% | 28.1% | 9.5% | 9 |
| 62.4% | 28.1% | 9.5% | 10 |
| 62.4% | 26.5% | 11% | 11 |
| 62.4% | 26.5% | 11% | 12 |
| 62.4% | 25.8% | 11.8% | 13 |
| 62.4% | 25.8% | 11.8% | 14 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | intervals |
| 20.0ms | 59× | body | 1024 | valid |
| 15.0ms | 68× | body | 1024 | invalid |
| 12.0ms | 147× | body | 128 | valid |
| 7.0ms | 38× | body | 512 | valid |
| 5.0ms | 89× | body | 128 | invalid |
| 4.0ms | 25× | body | 512 | invalid |
| 2.0ms | 21× | body | 256 | invalid |
| 1.0ms | 12× | body | 256 | valid |
Compiled 25 to 25 computations (0% saved)
| 1× | egg-herbie |
| 778× | unswap-sqr_binary64_46 |
| 491× | associate-/r*_binary64_22 |
| 449× | div-exp_binary64_129 |
| 360× | associate-/l*_binary64_23 |
| 346× | times-frac_binary64_84 |
| 288× | rem-sqrt-square_binary64_91 |
| 256× | *-commutative_binary64_9 |
| 234× | sqr-pow_binary64_50 |
| 171× | associate-/r/_binary64_24 |
| 153× | associate-/l/_binary64_25 |
| 151× | associate-*l*_binary64_19 |
| 145× | pow-sqr_binary64_51 |
| 122× | associate-*l/_binary64_21 |
| 112× | associate-*r*_binary64_18 |
| 111× | div-sub_binary64_83 |
| 93× | exp-prod_binary64_130 |
| 92× | associate-*r/_binary64_20 |
| 72× | cube-prod_binary64_106 |
| 69× | prod-exp_binary64_127 |
| 61× | unpow3_binary64_144 |
| 58× | exp-sum_binary64_124 distribute-rgt-in_binary64_28 |
| 51× | exp-diff_binary64_126 |
| 46× | distribute-rgt-neg-out_binary64_38 |
| 42× | distribute-frac-neg_binary64_41 |
| 41× | neg-mul-1_binary64_74 |
| 39× | pow-plus_binary64_141 sub-neg_binary64_71 *-rgt-identity_binary64_68 |
| 35× | *-lft-identity_binary64_67 |
| 33× | cancel-sign-sub-inv_binary64_44 distribute-rgt-neg-in_binary64_36 |
| 29× | remove-double-div_binary64_54 |
| 26× | distribute-lft-neg-in_binary64_35 |
| 25× | neg-sub0_binary64_73 |
| 21× | distribute-lft-neg-out_binary64_37 |
| 18× | /-rgt-identity_binary64_69 |
| 17× | cube-unmult_binary64_115 cube-mult_binary64_108 |
| 16× | distribute-rgt-out_binary64_31 |
| 15× | distribute-lft-in_binary64_27 |
| 14× | exp-sqrt_binary64_131 distribute-neg-in_binary64_39 |
| 13× | unsub-neg_binary64_72 distribute-neg-frac_binary64_42 |
| 12× | rec-exp_binary64_128 +-rgt-identity_binary64_63 |
| 11× | unpow1/2_binary64_142 |
| 10× | unpow2_binary64_143 |
| 9× | unpow1_binary64_136 exp-neg_binary64_125 |
| 8× | exp-lft-sqr_binary64_133 |
| 7× | remove-double-neg_binary64_66 associate-+l-_binary64_13 |
| 6× | +-commutative_binary64_8 |
| 5× | cube-div_binary64_107 distribute-neg-out_binary64_40 distribute-lft-out_binary64_29 associate--l-_binary64_16 |
| 4× | unpow-1_binary64_135 associate--r+_binary64_14 |
| 3× | distribute-rgt-out--_binary64_32 |
| 2× | sub0-neg_binary64_65 swap-sqr_binary64_45 distribute-rgt1-in_binary64_34 |
| 1× | exp-1-e_binary64_121 exp-0_binary64_120 --rgt-identity_binary64_64 associate-+r-_binary64_12 associate-+l+_binary64_11 associate-+r+_binary64_10 |
| 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 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 exp-lft-cube_binary64_134 exp-cbrt_binary64_132 e-exp-1_binary64_123 1-exp_binary64_122 rem-log-exp_binary64_119 rem-exp-log_binary64_118 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 sqr-neg_binary64_92 rem-square-sqrt_binary64_90 mul-1-neg_binary64_70 +-lft-identity_binary64_62 mul0-rgt_binary64_61 mul0-lft_binary64_60 div0_binary64_59 *-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 difference-of-squares_binary64_47 cancel-sign-sub_binary64_43 distribute-lft1-in_binary64_33 distribute-lft-out--_binary64_30 count-2_binary64_26 associate--r-_binary64_17 associate--l+_binary64_15 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 27 | 18 |
| 2 | 63 | 18 |
| 3 | 86 | 18 |
| 4 | 110 | 18 |
| 5 | 163 | 18 |
| 6 | 285 | 18 |
| 7 | 674 | 18 |
| 8 | 2124 | 18 |
| 9 | 2067 | 18 |
| 10 | 2395 | 18 |
| 11 | 3858 | 18 |
| 12 | 4159 | 18 |
| 13 | 4773 | 18 |
| 14 | 4903 | 18 |
| 15 | 5282 | 18 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 22 to 20 computations (9.1% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
| 0.0b | (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 1× | rewrite-expression-head |
| 7× | pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 *-un-lft-identity_binary64_78 |
| 4× | add-log-exp_binary64_117 associate-*r*_binary64_18 |
| 3× | pow-prod-down_binary64_149 prod-exp_binary64_127 add-cube-cbrt_binary64_113 cbrt-unprod_binary64_111 add-sqr-sqrt_binary64_100 |
| 2× | flip3-+_binary64_81 associate-*r/_binary64_20 flip-+_binary64_52 distribute-lft-out_binary64_29 |
| 1× | distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 associate-*l*_binary64_19 *-commutative_binary64_9 sum-log_binary64_169 +-commutative_binary64_8 |
2 calls:
| 11.0ms | (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 6.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 692 to 227 computations (67.2% saved)
2 calls:
| 237.0ms | (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) |
| 32.0ms | (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) |
Compiled 701 to 504 computations (28.1% saved)
| 1× | egg-herbie |
| 369× | times-frac_binary64_84 |
| 356× | *-commutative_binary64_9 |
| 330× | distribute-rgt-in_binary64_28 |
| 304× | distribute-lft-in_binary64_27 |
| 263× | cancel-sign-sub-inv_binary64_44 |
| 218× | associate-*l/_binary64_21 |
| 184× | associate-/l*_binary64_23 |
| 172× | associate-*r/_binary64_20 |
| 167× | associate-*l*_binary64_19 |
| 141× | associate-*r*_binary64_18 |
| 133× | sub-neg_binary64_71 |
| 128× | associate-+l+_binary64_11 |
| 127× | unswap-sqr_binary64_46 |
| 116× | exp-prod_binary64_130 |
| 111× | distribute-rgt-neg-in_binary64_36 |
| 99× | distribute-lft-neg-in_binary64_35 associate-/r*_binary64_22 +-commutative_binary64_8 |
| 95× | neg-mul-1_binary64_74 |
| 92× | neg-sub0_binary64_73 |
| 91× | sqr-pow_binary64_50 |
| 89× | distribute-lft-out_binary64_29 |
| 85× | distribute-rgt-out_binary64_31 |
| 78× | associate-+r+_binary64_10 |
| 68× | unsub-neg_binary64_72 |
| 64× | associate--l+_binary64_15 |
| 40× | cube-prod_binary64_106 |
| 34× | *-rgt-identity_binary64_68 |
| 33× | swap-sqr_binary64_45 |
| 32× | div-sub_binary64_83 *-lft-identity_binary64_67 |
| 30× | prod-exp_binary64_127 |
| 25× | log-prod_binary64_164 distribute-rgt-out--_binary64_32 |
| 20× | exp-sum_binary64_124 distribute-lft-neg-out_binary64_37 associate-+l-_binary64_13 |
| 19× | associate--r+_binary64_14 |
| 17× | associate-+r-_binary64_12 |
| 14× | pow-sqr_binary64_51 associate-/l/_binary64_25 |
| 12× | unpow1/2_binary64_142 div-exp_binary64_129 distribute-neg-frac_binary64_42 distribute-rgt-neg-out_binary64_38 |
| 11× | unpow3_binary64_144 +-rgt-identity_binary64_63 |
| 10× | cube-unmult_binary64_115 rem-sqrt-square_binary64_91 distribute-neg-in_binary64_39 |
| 9× | exp-diff_binary64_126 cube-div_binary64_107 sub0-neg_binary64_65 |
| 7× | log-div_binary64_165 distribute-rgt1-in_binary64_34 |
| 6× | rec-exp_binary64_128 cube-mult_binary64_108 difference-of-squares_binary64_47 |
| 5× | pow-plus_binary64_141 distribute-lft1-in_binary64_33 associate-/r/_binary64_24 |
| 4× | count-2_binary64_26 |
| 3× | difference-of-sqr--1_binary64_49 distribute-neg-out_binary64_40 associate--r-_binary64_17 |
| 2× | exp-neg_binary64_125 distribute-lft-out--_binary64_30 |
| 1× | log-rec_binary64_166 unpow2_binary64_143 unpow1_binary64_136 1-exp_binary64_122 exp-1-e_binary64_121 cube-neg_binary64_105 sqr-neg_binary64_92 /-rgt-identity_binary64_69 remove-double-neg_binary64_66 --rgt-identity_binary64_64 mul0-lft_binary64_60 +-inverses_binary64_57 lft-mult-inverse_binary64_56 associate--l-_binary64_16 |
| 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 pow-base-0_binary64_162 unpow1/3_binary64_145 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 e-exp-1_binary64_123 exp-0_binary64_120 rem-log-exp_binary64_119 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-square-sqrt_binary64_90 mul-1-neg_binary64_70 +-lft-identity_binary64_62 mul0-rgt_binary64_61 div0_binary64_59 *-inverses_binary64_58 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 difference-of-sqr-1_binary64_48 cancel-sign-sub_binary64_43 distribute-frac-neg_binary64_41 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1153 |
| 1 | 367 | 986 |
| 2 | 1200 | 935 |
| 3 | 2755 | 928 |
| 4 | 4597 | 928 |
| 5 | 4904 | 928 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 2 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 39 | 2 | 41 |
Compiled 724 to 303 computations (58.1% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) |
| 0.0b | (+.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))) |
| 0.0b | (/.f64 1/2 (exp.f64 im)) |
| 0.0b | (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))) |
| 1× | rewrite-expression-head |
| 26× | add-sqr-sqrt_binary64_100 |
| 21× | add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78 |
| 19× | times-frac_binary64_84 |
| 16× | add-cbrt-cube_binary64_114 associate-*l*_binary64_19 |
| 12× | add-exp-log_binary64_116 |
| 11× | pow1_binary64_139 |
| 6× | add-log-exp_binary64_117 |
| 5× | prod-exp_binary64_127 cbrt-unprod_binary64_111 |
| 4× | pow-prod-down_binary64_149 associate-*r*_binary64_18 |
| 3× | associate-/l*_binary64_23 associate-/r*_binary64_22 |
| 2× | *-commutative_binary64_9 div-exp_binary64_129 cbrt-undiv_binary64_112 div-inv_binary64_75 unswap-sqr_binary64_46 |
| 1× | frac-2neg_binary64_89 clear-num_binary64_77 sum-log_binary64_169 flip3-+_binary64_81 flip-+_binary64_52 +-commutative_binary64_8 associate-*l/_binary64_21 |
4 calls:
| 9.0ms | (+.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))) |
| 8.0ms | (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) |
| 7.0ms | (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))) |
| 4.0ms | (/.f64 1/2 (exp.f64 im)) |
Compiled 2033 to 1037 computations (49% saved)
4 calls:
| 348.0ms | (+.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))) |
| 161.0ms | (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) |
| 148.0ms | (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))) |
| 46.0ms | (/.f64 1/2 (exp.f64 im)) |
Compiled 1759 to 1142 computations (35.1% saved)
| 1× | egg-herbie |
| 340× | cancel-sign-sub-inv_binary64_44 |
| 274× | associate-*l/_binary64_21 |
| 249× | sub-neg_binary64_71 |
| 220× | associate-*r*_binary64_18 |
| 215× | associate-*l*_binary64_19 |
| 209× | associate-/l*_binary64_23 |
| 207× | distribute-rgt-out_binary64_31 |
| 182× | associate-*r/_binary64_20 |
| 173× | distribute-rgt-neg-in_binary64_36 |
| 148× | distribute-lft-neg-in_binary64_35 |
| 147× | neg-mul-1_binary64_74 |
| 141× | associate-+l+_binary64_11 |
| 130× | *-commutative_binary64_9 |
| 108× | times-frac_binary64_84 |
| 107× | sqr-pow_binary64_50 |
| 103× | neg-sub0_binary64_73 |
| 96× | distribute-rgt-in_binary64_28 |
| 93× | unswap-sqr_binary64_46 |
| 88× | associate--l+_binary64_15 |
| 83× | distribute-lft-out_binary64_29 |
| 74× | distribute-rgt-out--_binary64_32 |
| 71× | distribute-lft-in_binary64_27 |
| 67× | +-commutative_binary64_8 |
| 61× | exp-prod_binary64_130 |
| 58× | cube-prod_binary64_106 |
| 54× | unsub-neg_binary64_72 |
| 53× | associate-/r*_binary64_22 |
| 48× | log-prod_binary64_164 |
| 42× | associate-+l-_binary64_13 |
| 37× | associate-+r-_binary64_12 |
| 32× | *-rgt-identity_binary64_68 |
| 31× | *-lft-identity_binary64_67 swap-sqr_binary64_45 |
| 27× | distribute-lft-out--_binary64_30 associate--r+_binary64_14 associate-+r+_binary64_10 |
| 25× | +-rgt-identity_binary64_63 |
| 23× | associate-/l/_binary64_25 |
| 22× | unpow3_binary64_144 |
| 21× | distribute-lft-neg-out_binary64_37 |
| 20× | log-div_binary64_165 |
| 18× | cube-div_binary64_107 sub0-neg_binary64_65 |
| 17× | associate-/r/_binary64_24 |
| 15× | pow-sqr_binary64_51 |
| 14× | cube-mult_binary64_108 div-sub_binary64_83 distribute-neg-frac_binary64_42 |
| 12× | rem-sqrt-square_binary64_91 /-rgt-identity_binary64_69 |
| 9× | unpow1/2_binary64_142 distribute-neg-in_binary64_39 |
| 8× | prod-exp_binary64_127 exp-sum_binary64_124 |
| 7× | cube-unmult_binary64_115 distribute-rgt1-in_binary64_34 |
| 5× | log-pow_binary64_167 |
| 4× | pow-plus_binary64_141 difference-of-squares_binary64_47 |
| 3× | log-rec_binary64_166 div-exp_binary64_129 rem-log-exp_binary64_119 |
| 2× | rec-exp_binary64_128 exp-diff_binary64_126 mul0-rgt_binary64_61 mul0-lft_binary64_60 distribute-lft1-in_binary64_33 |
| 1× | unpow2_binary64_143 exp-to-pow_binary64_140 unpow1_binary64_136 1-exp_binary64_122 exp-1-e_binary64_121 rem-exp-log_binary64_118 remove-double-neg_binary64_66 *-inverses_binary64_58 distribute-rgt-neg-out_binary64_38 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 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 exp-neg_binary64_125 e-exp-1_binary64_123 exp-0_binary64_120 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 sqr-neg_binary64_92 rem-square-sqrt_binary64_90 mul-1-neg_binary64_70 --rgt-identity_binary64_64 +-lft-identity_binary64_62 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 cancel-sign-sub_binary64_43 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 associate--r-_binary64_17 associate--l-_binary64_16 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 2136 |
| 1 | 567 | 1982 |
| 2 | 1760 | 1922 |
| 3 | 4352 | 1914 |
| 4 | 4896 | 1914 |
| 5 | 4961 | 1914 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 2 | 76 |
Compiled 1539 to 781 computations (49.3% saved)
Found 4 expressions with local error:
| 0.0b | (/.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (+.f64 (pow.f64 (exp.f64 im) -2) (+.f64 -1 (pow.f64 (exp.f64 im) 2)))) |
| 0.0b | (pow.f64 (exp.f64 im) -3) |
| 0.0b | (pow.f64 (exp.f64 im) 3) |
| 5.4b | (+.f64 -1 (pow.f64 (exp.f64 im) 2)) |
| 1× | rewrite-expression-head |
| 61× | *-un-lft-identity_binary64_78 |
| 22× | add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 distribute-lft-out_binary64_29 |
| 20× | times-frac_binary64_84 |
| 8× | pow-pow_binary64_150 |
| 7× | add-cbrt-cube_binary64_114 |
| 6× | add-log-exp_binary64_117 pow1_binary64_139 add-exp-log_binary64_116 unpow-prod-down_binary64_157 pow-unpow_binary64_155 exp-prod_binary64_130 |
| 5× | associate-/r*_binary64_22 |
| 4× | associate-/l*_binary64_23 |
| 3× | flip3-+_binary64_81 flip-+_binary64_52 cube-prod_binary64_106 |
| 2× | pow-to-exp_binary64_147 pow-exp_binary64_146 sqr-pow_binary64_50 associate-/l/_binary64_25 associate-/r/_binary64_24 |
| 1× | sum-log_binary64_169 +-commutative_binary64_8 unpow3_binary64_144 cube-mult_binary64_108 rem-cube-cbrt_binary64_101 div-exp_binary64_129 cbrt-undiv_binary64_112 frac-2neg_binary64_89 clear-num_binary64_77 div-inv_binary64_75 |
4 calls:
| 23.0ms | (/.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (+.f64 (pow.f64 (exp.f64 im) -2) (+.f64 -1 (pow.f64 (exp.f64 im) 2)))) |
| 5.0ms | (+.f64 -1 (pow.f64 (exp.f64 im) 2)) |
| 4.0ms | (pow.f64 (exp.f64 im) 3) |
| 3.0ms | (pow.f64 (exp.f64 im) -3) |
Compiled 3770 to 2414 computations (36% saved)
4 calls:
| 333.0ms | (/.f64 (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3)) (+.f64 (pow.f64 (exp.f64 im) -2) (+.f64 -1 (pow.f64 (exp.f64 im) 2)))) |
| 77.0ms | (pow.f64 (exp.f64 im) -3) |
| 52.0ms | (pow.f64 (exp.f64 im) 3) |
| 50.0ms | (+.f64 -1 (pow.f64 (exp.f64 im) 2)) |
Compiled 1512 to 1136 computations (24.9% saved)
| 1× | egg-herbie |
| 500× | unswap-sqr_binary64_46 |
| 462× | distribute-rgt-in_binary64_28 |
| 432× | distribute-lft-in_binary64_27 |
| 306× | cancel-sign-sub-inv_binary64_44 |
| 243× | log-prod_binary64_164 |
| 125× | distribute-rgt-neg-in_binary64_36 |
| 108× | distribute-lft-neg-in_binary64_35 |
| 95× | associate-*l*_binary64_19 |
| 92× | associate-*r*_binary64_18 |
| 83× | sqr-pow_binary64_50 |
| 69× | distribute-rgt-out_binary64_31 |
| 68× | exp-prod_binary64_130 |
| 60× | sub-neg_binary64_71 +-commutative_binary64_8 |
| 59× | cube-prod_binary64_106 |
| 49× | times-frac_binary64_84 |
| 46× | distribute-lft-neg-out_binary64_37 |
| 43× | *-commutative_binary64_9 |
| 42× | distribute-lft-out_binary64_29 |
| 37× | distribute-rgt-neg-out_binary64_38 |
| 33× | associate-+r+_binary64_10 |
| 31× | associate-+l+_binary64_11 |
| 30× | log-pow_binary64_167 |
| 29× | difference-of-squares_binary64_47 |
| 28× | neg-sub0_binary64_73 distribute-neg-in_binary64_39 |
| 27× | neg-mul-1_binary64_74 |
| 23× | unsub-neg_binary64_72 |
| 19× | pow-sqr_binary64_51 swap-sqr_binary64_45 |
| 18× | associate-/l*_binary64_23 |
| 17× | distribute-rgt-out--_binary64_32 associate-/l/_binary64_25 |
| 16× | associate-/r*_binary64_22 |
| 15× | prod-exp_binary64_127 |
| 14× | cube-unmult_binary64_115 distribute-lft-out--_binary64_30 associate-*l/_binary64_21 |
| 12× | unpow3_binary64_144 div-sub_binary64_83 |
| 11× | rem-sqrt-square_binary64_91 associate--r+_binary64_14 |
| 10× | pow-plus_binary64_141 associate-*r/_binary64_20 |
| 8× | cube-mult_binary64_108 difference-of-sqr--1_binary64_49 associate--l+_binary64_15 |
| 7× | associate-/r/_binary64_24 |
| 6× | *-rgt-identity_binary64_68 *-lft-identity_binary64_67 |
| 5× | difference-of-sqr-1_binary64_48 distribute-rgt1-in_binary64_34 |
| 4× | exp-sum_binary64_124 /-rgt-identity_binary64_69 associate-+r-_binary64_12 |
| 3× | log-div_binary64_165 rec-exp_binary64_128 associate-+l-_binary64_13 |
| 2× | unpow2_binary64_143 unpow1/2_binary64_142 unpow1_binary64_136 exp-diff_binary64_126 cube-div_binary64_107 mul-1-neg_binary64_70 remove-double-neg_binary64_66 distribute-neg-frac_binary64_42 distribute-lft1-in_binary64_33 |
| 1× | unpow-1_binary64_135 div-exp_binary64_129 1-exp_binary64_122 exp-1-e_binary64_121 rem-log-exp_binary64_119 cube-neg_binary64_105 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-neg_binary64_92 rem-square-sqrt_binary64_90 count-2_binary64_26 associate--r-_binary64_17 |
| 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-rec_binary64_166 pow-base-0_binary64_162 unpow1/3_binary64_145 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 exp-lft-cube_binary64_134 exp-lft-sqr_binary64_133 exp-cbrt_binary64_132 exp-sqrt_binary64_131 exp-neg_binary64_125 e-exp-1_binary64_123 exp-0_binary64_120 rem-exp-log_binary64_118 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 sqr-abs_binary64_93 sub0-neg_binary64_65 --rgt-identity_binary64_64 +-rgt-identity_binary64_63 +-lft-identity_binary64_62 mul0-rgt_binary64_61 mul0-lft_binary64_60 div0_binary64_59 *-inverses_binary64_58 +-inverses_binary64_57 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 cancel-sign-sub_binary64_43 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 associate--l-_binary64_16 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 3085 |
| 1 | 477 | 2925 |
| 2 | 1486 | 2885 |
| 3 | 4945 | 2885 |
| 4 | 5188 | 2885 |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 0 | 93 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 93 | 2 | 95 |
Compiled 3183 to 2044 computations (35.8% saved)
Total 0.0b remaining (85.7%)
Threshold costs 0.0b (85.7%)
Compiled 2178 to 1706 computations (21.7% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64_9 |
| 2× | +-commutative_binary64_8 |
| 1× | neg-mul-1_binary64_74 neg-sub0_binary64_73 sub-neg_binary64_71 |
| 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-neg-frac_binary64_42 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 | 12 | 26 |
| 1 | 20 | 26 |
| 2 | 22 | 26 |
| 3 | 23 | 26 |
| 4 | 23 | 26 |
| 1× | intervals |
| 716.0ms | 1998× | body | 1024 | valid |
| 460.0ms | 1924× | body | 1024 | invalid |
| 271.0ms | 4475× | body | 128 | valid |
| 200.0ms | 997× | body | 512 | valid |
| 167.0ms | 993× | body | 512 | invalid |
| 165.0ms | 2584× | body | 128 | invalid |
| 65.0ms | 519× | body | 256 | valid |
| 52.0ms | 458× | body | 256 | invalid |
| 8.0ms | 11× | body | 2048 | valid |
| 1.0ms | 1× | body | 2048 | invalid |
Compiled 377 to 295 computations (21.8% saved)
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