Time bar (total: 4.9s)
| 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 |
| 18.7% | 81.2% | 0.1% | 5 |
| 65.6% | 34.3% | 0.1% | 6 |
| 76.5% | 23.4% | 0.1% | 7 |
| 82% | 18% | 0.1% | 8 |
| 87.8% | 12.1% | 0.1% | 9 |
| 90.7% | 9.2% | 0.1% | 10 |
| 93.8% | 6.1% | 0.1% | 11 |
| 95.3% | 4.6% | 0.1% | 12 |
| 96.8% | 3.1% | 0.1% | 13 |
| 97.6% | 2.3% | 0.1% | 14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 13.0ms | 256× | body | 128 | valid |
Compiled 15 to 15 computations (0% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64_31040 |
| 2× | associate-/r/_binary64_31055 associate-/l*_binary64_31054 |
| 1× | +-commutative_binary64_31039 |
| 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_31372 erf-erfc_binary64_31371 erf-odd_binary64_31370 if-if-and-not_binary64_31369 if-if-and_binary64_31368 if-if-or-not_binary64_31367 if-if-or_binary64_31366 if-not_binary64_31365 if-same_binary64_31364 if-false_binary64_31363 if-true_binary64_31362 not-gte_binary64_31361 not-lte_binary64_31360 not-gt_binary64_31359 not-lt_binary64_31358 gte-same_binary64_31357 lte-same_binary64_31356 gt-same_binary64_31355 lt-same_binary64_31354 sinh---cosh_binary64_31301 sinh-+-cosh_binary64_31300 sinh-cosh_binary64_31299 tanh-def-c_binary64_31298 tanh-def-b_binary64_31297 tanh-def-a_binary64_31296 cosh-def_binary64_31295 sinh-def_binary64_31294 tan-neg_binary64_31241 cos-neg_binary64_31240 sin-neg_binary64_31239 tan-0_binary64_31238 cos-0_binary64_31237 sin-0_binary64_31236 hang-m-tan_binary64_31235 hang-p-tan_binary64_31234 hang-m0-tan_binary64_31233 hang-p0-tan_binary64_31232 hang-0m-tan_binary64_31231 hang-0p-tan_binary64_31230 tan-+PI/2_binary64_31229 tan-+PI_binary64_31228 tan-PI_binary64_31227 tan-PI/3_binary64_31226 tan-PI/4_binary64_31225 tan-PI/6_binary64_31224 cos-+PI/2_binary64_31223 cos-+PI_binary64_31222 cos-PI_binary64_31221 cos-PI/2_binary64_31220 cos-PI/3_binary64_31219 cos-PI/4_binary64_31218 cos-PI/6_binary64_31217 sin-+PI/2_binary64_31216 sin-+PI_binary64_31215 sin-PI_binary64_31214 sin-PI/2_binary64_31213 sin-PI/3_binary64_31212 sin-PI/4_binary64_31211 sin-PI/6_binary64_31210 sub-1-sin_binary64_31209 sub-1-cos_binary64_31208 -1-add-sin_binary64_31207 -1-add-cos_binary64_31206 1-sub-sin_binary64_31205 1-sub-cos_binary64_31204 cos-sin-sum_binary64_31203 log-E_binary64_31199 log-pow_binary64_31198 log-rec_binary64_31197 log-div_binary64_31196 log-prod_binary64_31195 pow-base-0_binary64_31193 unpow1/3_binary64_31176 unpow3_binary64_31175 unpow2_binary64_31174 unpow1/2_binary64_31173 pow-plus_binary64_31172 exp-to-pow_binary64_31171 pow-base-1_binary64_31169 unpow0_binary64_31168 unpow1_binary64_31167 unpow-1_binary64_31166 exp-lft-cube_binary64_31165 exp-lft-sqr_binary64_31164 exp-cbrt_binary64_31163 exp-sqrt_binary64_31162 exp-prod_binary64_31161 div-exp_binary64_31160 rec-exp_binary64_31159 prod-exp_binary64_31158 exp-diff_binary64_31157 exp-neg_binary64_31156 exp-sum_binary64_31155 e-exp-1_binary64_31154 1-exp_binary64_31153 exp-1-e_binary64_31152 exp-0_binary64_31151 rem-log-exp_binary64_31150 rem-exp-log_binary64_31149 cube-unmult_binary64_31146 cube-mult_binary64_31139 cube-div_binary64_31138 cube-prod_binary64_31137 cube-neg_binary64_31136 rem-3cbrt-rft_binary64_31135 rem-3cbrt-lft_binary64_31134 rem-cbrt-cube_binary64_31133 rem-cube-cbrt_binary64_31132 sqr-abs_binary64_31124 sqr-neg_binary64_31123 rem-sqrt-square_binary64_31122 rem-square-sqrt_binary64_31121 times-frac_binary64_31115 div-sub_binary64_31114 neg-mul-1_binary64_31105 neg-sub0_binary64_31104 unsub-neg_binary64_31103 sub-neg_binary64_31102 mul-1-neg_binary64_31101 /-rgt-identity_binary64_31100 *-rgt-identity_binary64_31099 *-lft-identity_binary64_31098 remove-double-neg_binary64_31097 sub0-neg_binary64_31096 --rgt-identity_binary64_31095 +-rgt-identity_binary64_31094 +-lft-identity_binary64_31093 mul0-rgt_binary64_31092 mul0-lft_binary64_31091 div0_binary64_31090 *-inverses_binary64_31089 +-inverses_binary64_31088 lft-mult-inverse_binary64_31087 rgt-mult-inverse_binary64_31086 remove-double-div_binary64_31085 pow-sqr_binary64_31082 sqr-pow_binary64_31081 difference-of-sqr--1_binary64_31080 difference-of-sqr-1_binary64_31079 difference-of-squares_binary64_31078 unswap-sqr_binary64_31077 swap-sqr_binary64_31076 cancel-sign-sub-inv_binary64_31075 cancel-sign-sub_binary64_31074 distribute-neg-frac_binary64_31073 distribute-frac-neg_binary64_31072 distribute-neg-out_binary64_31071 distribute-neg-in_binary64_31070 distribute-rgt-neg-out_binary64_31069 distribute-lft-neg-out_binary64_31068 distribute-rgt-neg-in_binary64_31067 distribute-lft-neg-in_binary64_31066 distribute-rgt1-in_binary64_31065 distribute-lft1-in_binary64_31064 distribute-rgt-out--_binary64_31063 distribute-rgt-out_binary64_31062 distribute-lft-out--_binary64_31061 distribute-lft-out_binary64_31060 distribute-rgt-in_binary64_31059 distribute-lft-in_binary64_31058 count-2_binary64_31057 associate-/l/_binary64_31056 associate-/r*_binary64_31053 associate-*l/_binary64_31052 associate-*r/_binary64_31051 associate-*l*_binary64_31050 associate-*r*_binary64_31049 associate--r-_binary64_31048 associate--l-_binary64_31047 associate--l+_binary64_31046 associate--r+_binary64_31045 associate-+l-_binary64_31044 associate-+r-_binary64_31043 associate-+l+_binary64_31042 associate-+r+_binary64_31041 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 10 |
| 2 | 15 | 10 |
| 3 | 18 | 10 |
| 4 | 19 | 10 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 3 | 4 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 3 | 5 |
Compiled 49 to 33 computations (32.7% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 x (+.f64 x y)) |
| 0.1b | (*.f64 (/.f64 x (+.f64 x y)) 100) |
| 1× | rewrite-expression-head |
| 34× | *-un-lft-identity_binary64_31109 |
| 25× | add-sqr-sqrt_binary64_31131 times-frac_binary64_31115 |
| 20× | add-cube-cbrt_binary64_31144 |
| 18× | associate-*l*_binary64_31050 |
| 9× | add-exp-log_binary64_31147 add-cbrt-cube_binary64_31145 |
| 7× | distribute-lft-out_binary64_31060 |
| 4× | pow1_binary64_31170 associate-/r/_binary64_31055 associate-/r*_binary64_31053 |
| 3× | associate-*r*_binary64_31049 associate-/l*_binary64_31054 |
| 2× | div-exp_binary64_31160 prod-exp_binary64_31158 add-log-exp_binary64_31148 cbrt-unprod_binary64_31142 cbrt-undiv_binary64_31143 unswap-sqr_binary64_31077 div-inv_binary64_31106 flip3-+_binary64_31112 flip-+_binary64_31083 |
| 1× | pow-prod-down_binary64_31180 associate-*l/_binary64_31052 *-commutative_binary64_31040 frac-2neg_binary64_31120 clear-num_binary64_31108 |
2 calls:
| 11.0ms | (/.f64 x (+.f64 x y)) |
| 11.0ms | (*.f64 (/.f64 x (+.f64 x y)) 100) |
Compiled 1031 to 370 computations (64.1% saved)
2 calls:
| 114.0ms | (*.f64 (/.f64 x (+.f64 x y)) 100) |
| 84.0ms | (/.f64 x (+.f64 x y)) |
Compiled 966 to 772 computations (20.1% saved)
| 1× | egg-herbie |
| 569× | cancel-sign-sub-inv_binary64_31075 |
| 316× | associate-/l*_binary64_31054 |
| 303× | associate-*l/_binary64_31052 |
| 283× | associate-*l*_binary64_31050 |
| 273× | times-frac_binary64_31115 |
| 220× | associate-*r*_binary64_31049 |
| 213× | associate-*r/_binary64_31051 |
| 207× | distribute-rgt-neg-in_binary64_31067 |
| 205× | distribute-rgt-in_binary64_31059 |
| 179× | distribute-lft-neg-in_binary64_31066 |
| 173× | distribute-neg-frac_binary64_31073 |
| 152× | associate-/r*_binary64_31053 |
| 137× | unswap-sqr_binary64_31077 |
| 131× | sub-neg_binary64_31102 |
| 100× | *-commutative_binary64_31040 |
| 97× | associate-/r/_binary64_31055 |
| 93× | distribute-rgt-out--_binary64_31063 |
| 89× | associate-/l/_binary64_31056 |
| 58× | sqr-pow_binary64_31081 |
| 53× | neg-mul-1_binary64_31105 |
| 52× | div-sub_binary64_31114 neg-sub0_binary64_31104 |
| 51× | distribute-rgt-out_binary64_31062 |
| 45× | *-rgt-identity_binary64_31099 |
| 44× | unsub-neg_binary64_31103 |
| 43× | *-lft-identity_binary64_31098 |
| 42× | cube-div_binary64_31138 |
| 40× | log-div_binary64_31196 +-commutative_binary64_31039 |
| 39× | distribute-lft-in_binary64_31058 |
| 35× | associate-+l-_binary64_31044 |
| 32× | log-prod_binary64_31195 |
| 31× | cube-prod_binary64_31137 |
| 30× | distribute-lft-neg-out_binary64_31068 associate-+l+_binary64_31042 |
| 28× | pow-sqr_binary64_31082 distribute-lft-out_binary64_31060 |
| 27× | swap-sqr_binary64_31076 associate-+r-_binary64_31043 |
| 25× | associate--l+_binary64_31046 associate-+r+_binary64_31041 |
| 23× | /-rgt-identity_binary64_31100 |
| 19× | distribute-lft-out--_binary64_31061 |
| 17× | exp-prod_binary64_31161 sub0-neg_binary64_31096 difference-of-squares_binary64_31078 |
| 16× | +-rgt-identity_binary64_31094 |
| 15× | distribute-neg-out_binary64_31071 |
| 14× | associate--r+_binary64_31045 |
| 13× | pow-plus_binary64_31172 distribute-rgt1-in_binary64_31065 |
| 11× | distribute-neg-in_binary64_31070 |
| 10× | cube-unmult_binary64_31146 |
| 9× | div-exp_binary64_31160 prod-exp_binary64_31158 |
| 8× | exp-sqrt_binary64_31162 |
| 7× | log-rec_binary64_31197 unpow3_binary64_31175 distribute-rgt-neg-out_binary64_31069 |
| 6× | cube-mult_binary64_31139 |
| 4× | exp-lft-sqr_binary64_31164 remove-double-div_binary64_31085 |
| 3× | log-pow_binary64_31198 rec-exp_binary64_31159 cancel-sign-sub_binary64_31074 |
| 2× | unpow2_binary64_31174 unpow1_binary64_31167 remove-double-neg_binary64_31097 associate--l-_binary64_31047 |
| 1× | pow-base-1_binary64_31169 exp-diff_binary64_31157 1-exp_binary64_31153 exp-1-e_binary64_31152 rem-log-exp_binary64_31150 rem-sqrt-square_binary64_31122 --rgt-identity_binary64_31095 +-lft-identity_binary64_31093 mul0-rgt_binary64_31092 mul0-lft_binary64_31091 div0_binary64_31090 *-inverses_binary64_31089 rgt-mult-inverse_binary64_31086 difference-of-sqr--1_binary64_31080 distribute-frac-neg_binary64_31072 associate--r-_binary64_31048 |
| 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_31372 erf-erfc_binary64_31371 erf-odd_binary64_31370 if-if-and-not_binary64_31369 if-if-and_binary64_31368 if-if-or-not_binary64_31367 if-if-or_binary64_31366 if-not_binary64_31365 if-same_binary64_31364 if-false_binary64_31363 if-true_binary64_31362 not-gte_binary64_31361 not-lte_binary64_31360 not-gt_binary64_31359 not-lt_binary64_31358 gte-same_binary64_31357 lte-same_binary64_31356 gt-same_binary64_31355 lt-same_binary64_31354 sinh---cosh_binary64_31301 sinh-+-cosh_binary64_31300 sinh-cosh_binary64_31299 tanh-def-c_binary64_31298 tanh-def-b_binary64_31297 tanh-def-a_binary64_31296 cosh-def_binary64_31295 sinh-def_binary64_31294 tan-neg_binary64_31241 cos-neg_binary64_31240 sin-neg_binary64_31239 tan-0_binary64_31238 cos-0_binary64_31237 sin-0_binary64_31236 hang-m-tan_binary64_31235 hang-p-tan_binary64_31234 hang-m0-tan_binary64_31233 hang-p0-tan_binary64_31232 hang-0m-tan_binary64_31231 hang-0p-tan_binary64_31230 tan-+PI/2_binary64_31229 tan-+PI_binary64_31228 tan-PI_binary64_31227 tan-PI/3_binary64_31226 tan-PI/4_binary64_31225 tan-PI/6_binary64_31224 cos-+PI/2_binary64_31223 cos-+PI_binary64_31222 cos-PI_binary64_31221 cos-PI/2_binary64_31220 cos-PI/3_binary64_31219 cos-PI/4_binary64_31218 cos-PI/6_binary64_31217 sin-+PI/2_binary64_31216 sin-+PI_binary64_31215 sin-PI_binary64_31214 sin-PI/2_binary64_31213 sin-PI/3_binary64_31212 sin-PI/4_binary64_31211 sin-PI/6_binary64_31210 sub-1-sin_binary64_31209 sub-1-cos_binary64_31208 -1-add-sin_binary64_31207 -1-add-cos_binary64_31206 1-sub-sin_binary64_31205 1-sub-cos_binary64_31204 cos-sin-sum_binary64_31203 log-E_binary64_31199 pow-base-0_binary64_31193 unpow1/3_binary64_31176 unpow1/2_binary64_31173 exp-to-pow_binary64_31171 unpow0_binary64_31168 unpow-1_binary64_31166 exp-lft-cube_binary64_31165 exp-cbrt_binary64_31163 exp-neg_binary64_31156 exp-sum_binary64_31155 e-exp-1_binary64_31154 exp-0_binary64_31151 rem-exp-log_binary64_31149 cube-neg_binary64_31136 rem-3cbrt-rft_binary64_31135 rem-3cbrt-lft_binary64_31134 rem-cbrt-cube_binary64_31133 rem-cube-cbrt_binary64_31132 sqr-abs_binary64_31124 sqr-neg_binary64_31123 rem-square-sqrt_binary64_31121 mul-1-neg_binary64_31101 +-inverses_binary64_31088 lft-mult-inverse_binary64_31087 difference-of-sqr-1_binary64_31079 distribute-lft1-in_binary64_31064 count-2_binary64_31057 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1526 |
| 1 | 320 | 1430 |
| 2 | 939 | 1358 |
| 3 | 3129 | 1340 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 2 | 133 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 131 | 5 | 136 |
Compiled 2133 to 882 computations (58.6% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 (+.f64 x y) 100) |
| 0.2b | (/.f64 x (/.f64 (+.f64 x y) 100)) |
| 1× | rewrite-expression-head |
| 108× | times-frac_binary64_31115 |
| 92× | *-un-lft-identity_binary64_31109 |
| 60× | add-cube-cbrt_binary64_31144 add-sqr-sqrt_binary64_31131 |
| 19× | associate-/r*_binary64_31053 |
| 16× | distribute-lft-out_binary64_31060 |
| 9× | add-exp-log_binary64_31147 add-cbrt-cube_binary64_31145 |
| 7× | associate-/l*_binary64_31054 |
| 6× | div-inv_binary64_31106 |
| 4× | div-exp_binary64_31160 cbrt-undiv_binary64_31143 |
| 2× | pow1_binary64_31170 add-log-exp_binary64_31148 frac-2neg_binary64_31120 clear-num_binary64_31108 associate-/l/_binary64_31056 |
| 1× | associate-/r/_binary64_31055 flip3-+_binary64_31112 flip-+_binary64_31083 |
2 calls:
| 8.0ms | (/.f64 x (/.f64 (+.f64 x y) 100)) |
| 6.0ms | (/.f64 (+.f64 x y) 100) |
Compiled 1934 to 979 computations (49.4% saved)
2 calls:
| 114.0ms | (/.f64 x (/.f64 (+.f64 x y) 100)) |
| 96.0ms | (/.f64 (+.f64 x y) 100) |
Compiled 729 to 592 computations (18.8% saved)
| 1× | egg-herbie |
| 535× | associate-/r/_binary64_31055 |
| 432× | cancel-sign-sub-inv_binary64_31075 |
| 359× | associate-*l/_binary64_31052 |
| 332× | associate-/r*_binary64_31053 |
| 277× | associate-*l*_binary64_31050 |
| 259× | associate-*r/_binary64_31051 |
| 229× | *-commutative_binary64_31040 |
| 168× | associate-*r*_binary64_31049 |
| 154× | distribute-neg-frac_binary64_31073 |
| 148× | distribute-rgt-neg-in_binary64_31067 |
| 131× | associate-/l/_binary64_31056 |
| 129× | associate-/l*_binary64_31054 |
| 122× | distribute-lft-neg-in_binary64_31066 |
| 100× | distribute-rgt-out_binary64_31062 |
| 96× | sub-neg_binary64_31102 unswap-sqr_binary64_31077 |
| 81× | distribute-rgt-out--_binary64_31063 |
| 74× | times-frac_binary64_31115 |
| 68× | distribute-rgt-in_binary64_31059 |
| 61× | div-sub_binary64_31114 |
| 57× | distribute-lft-in_binary64_31058 |
| 55× | neg-mul-1_binary64_31105 |
| 54× | neg-sub0_binary64_31104 |
| 47× | sqr-pow_binary64_31081 |
| 46× | unsub-neg_binary64_31103 |
| 40× | /-rgt-identity_binary64_31100 *-rgt-identity_binary64_31099 |
| 33× | distribute-lft-neg-out_binary64_31068 +-commutative_binary64_31039 |
| 31× | cube-prod_binary64_31137 |
| 29× | log-prod_binary64_31195 |
| 28× | log-div_binary64_31196 *-lft-identity_binary64_31098 |
| 27× | cube-div_binary64_31138 pow-sqr_binary64_31082 swap-sqr_binary64_31076 |
| 21× | associate-+l+_binary64_31042 associate-+r+_binary64_31041 |
| 20× | associate-+l-_binary64_31044 |
| 19× | associate-+r-_binary64_31043 |
| 16× | div-exp_binary64_31160 prod-exp_binary64_31158 |
| 15× | pow-plus_binary64_31172 exp-prod_binary64_31161 |
| 13× | distribute-neg-in_binary64_31070 distribute-rgt1-in_binary64_31065 associate--l+_binary64_31046 |
| 12× | sub0-neg_binary64_31096 distribute-neg-out_binary64_31071 |
| 10× | cube-unmult_binary64_31146 distribute-rgt-neg-out_binary64_31069 associate--r+_binary64_31045 |
| 9× | +-rgt-identity_binary64_31094 |
| 7× | distribute-lft-out_binary64_31060 |
| 5× | log-pow_binary64_31198 unpow3_binary64_31175 exp-sqrt_binary64_31162 |
| 4× | rec-exp_binary64_31159 cube-mult_binary64_31139 distribute-frac-neg_binary64_31072 |
| 3× | mul0-rgt_binary64_31092 mul0-lft_binary64_31091 remove-double-div_binary64_31085 associate--r-_binary64_31048 associate--l-_binary64_31047 |
| 2× | unpow2_binary64_31174 unpow1_binary64_31167 exp-lft-sqr_binary64_31164 remove-double-neg_binary64_31097 difference-of-squares_binary64_31078 cancel-sign-sub_binary64_31074 distribute-lft-out--_binary64_31061 |
| 1× | log-rec_binary64_31197 pow-base-1_binary64_31169 exp-diff_binary64_31157 1-exp_binary64_31153 rem-log-exp_binary64_31150 rem-sqrt-square_binary64_31122 --rgt-identity_binary64_31095 div0_binary64_31090 *-inverses_binary64_31089 rgt-mult-inverse_binary64_31086 distribute-lft1-in_binary64_31064 count-2_binary64_31057 |
| 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_31372 erf-erfc_binary64_31371 erf-odd_binary64_31370 if-if-and-not_binary64_31369 if-if-and_binary64_31368 if-if-or-not_binary64_31367 if-if-or_binary64_31366 if-not_binary64_31365 if-same_binary64_31364 if-false_binary64_31363 if-true_binary64_31362 not-gte_binary64_31361 not-lte_binary64_31360 not-gt_binary64_31359 not-lt_binary64_31358 gte-same_binary64_31357 lte-same_binary64_31356 gt-same_binary64_31355 lt-same_binary64_31354 sinh---cosh_binary64_31301 sinh-+-cosh_binary64_31300 sinh-cosh_binary64_31299 tanh-def-c_binary64_31298 tanh-def-b_binary64_31297 tanh-def-a_binary64_31296 cosh-def_binary64_31295 sinh-def_binary64_31294 tan-neg_binary64_31241 cos-neg_binary64_31240 sin-neg_binary64_31239 tan-0_binary64_31238 cos-0_binary64_31237 sin-0_binary64_31236 hang-m-tan_binary64_31235 hang-p-tan_binary64_31234 hang-m0-tan_binary64_31233 hang-p0-tan_binary64_31232 hang-0m-tan_binary64_31231 hang-0p-tan_binary64_31230 tan-+PI/2_binary64_31229 tan-+PI_binary64_31228 tan-PI_binary64_31227 tan-PI/3_binary64_31226 tan-PI/4_binary64_31225 tan-PI/6_binary64_31224 cos-+PI/2_binary64_31223 cos-+PI_binary64_31222 cos-PI_binary64_31221 cos-PI/2_binary64_31220 cos-PI/3_binary64_31219 cos-PI/4_binary64_31218 cos-PI/6_binary64_31217 sin-+PI/2_binary64_31216 sin-+PI_binary64_31215 sin-PI_binary64_31214 sin-PI/2_binary64_31213 sin-PI/3_binary64_31212 sin-PI/4_binary64_31211 sin-PI/6_binary64_31210 sub-1-sin_binary64_31209 sub-1-cos_binary64_31208 -1-add-sin_binary64_31207 -1-add-cos_binary64_31206 1-sub-sin_binary64_31205 1-sub-cos_binary64_31204 cos-sin-sum_binary64_31203 log-E_binary64_31199 pow-base-0_binary64_31193 unpow1/3_binary64_31176 unpow1/2_binary64_31173 exp-to-pow_binary64_31171 unpow0_binary64_31168 unpow-1_binary64_31166 exp-lft-cube_binary64_31165 exp-cbrt_binary64_31163 exp-neg_binary64_31156 exp-sum_binary64_31155 e-exp-1_binary64_31154 exp-1-e_binary64_31152 exp-0_binary64_31151 rem-exp-log_binary64_31149 cube-neg_binary64_31136 rem-3cbrt-rft_binary64_31135 rem-3cbrt-lft_binary64_31134 rem-cbrt-cube_binary64_31133 rem-cube-cbrt_binary64_31132 sqr-abs_binary64_31124 sqr-neg_binary64_31123 rem-square-sqrt_binary64_31121 mul-1-neg_binary64_31101 +-lft-identity_binary64_31093 +-inverses_binary64_31088 lft-mult-inverse_binary64_31087 difference-of-sqr--1_binary64_31080 difference-of-sqr-1_binary64_31079 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2626 |
| 1 | 442 | 2518 |
| 2 | 1482 | 2470 |
| 3 | 3653 | 2461 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 0 | 445 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 445 | 5 | 450 |
Compiled 8374 to 3561 computations (57.5% saved)
Found 2 expressions with local error:
| 0.0b | (/.f64 100 (+.f64 x y)) |
| 0.2b | (*.f64 (/.f64 100 (+.f64 x y)) x) |
| 1× | rewrite-expression-head |
| 34× | *-un-lft-identity_binary64_31109 |
| 25× | add-sqr-sqrt_binary64_31131 times-frac_binary64_31115 |
| 20× | add-cube-cbrt_binary64_31144 |
| 18× | associate-*l*_binary64_31050 |
| 9× | add-exp-log_binary64_31147 add-cbrt-cube_binary64_31145 |
| 7× | distribute-lft-out_binary64_31060 |
| 4× | pow1_binary64_31170 associate-/r/_binary64_31055 associate-/r*_binary64_31053 |
| 3× | associate-*r*_binary64_31049 associate-/l*_binary64_31054 |
| 2× | div-exp_binary64_31160 prod-exp_binary64_31158 add-log-exp_binary64_31148 cbrt-unprod_binary64_31142 cbrt-undiv_binary64_31143 unswap-sqr_binary64_31077 div-inv_binary64_31106 flip3-+_binary64_31112 flip-+_binary64_31083 |
| 1× | pow-prod-down_binary64_31180 associate-*l/_binary64_31052 *-commutative_binary64_31040 frac-2neg_binary64_31120 clear-num_binary64_31108 |
2 calls:
| 10.0ms | (*.f64 (/.f64 100 (+.f64 x y)) x) |
| 5.0ms | (/.f64 100 (+.f64 x y)) |
Compiled 1031 to 532 computations (48.4% saved)
2 calls:
| 113.0ms | (*.f64 (/.f64 100 (+.f64 x y)) x) |
| 92.0ms | (/.f64 100 (+.f64 x y)) |
Compiled 1182 to 955 computations (19.2% saved)
| 1× | egg-herbie |
| 408× | associate-/l*_binary64_31054 |
| 379× | times-frac_binary64_31115 |
| 342× | associate-*l*_binary64_31050 |
| 330× | associate-*l/_binary64_31052 |
| 291× | distribute-neg-frac_binary64_31073 |
| 281× | distribute-rgt-neg-in_binary64_31067 |
| 253× | associate-*r*_binary64_31049 |
| 231× | associate-*r/_binary64_31051 |
| 186× | unswap-sqr_binary64_31077 |
| 176× | associate-/r*_binary64_31053 |
| 159× | sub-neg_binary64_31102 |
| 134× | associate-/r/_binary64_31055 |
| 129× | associate-/l/_binary64_31056 |
| 114× | *-commutative_binary64_31040 |
| 104× | div-sub_binary64_31114 |
| 100× | cancel-sign-sub-inv_binary64_31075 |
| 68× | *-lft-identity_binary64_31098 |
| 64× | neg-mul-1_binary64_31105 neg-sub0_binary64_31104 |
| 63× | sqr-pow_binary64_31081 |
| 60× | unsub-neg_binary64_31103 |
| 58× | *-rgt-identity_binary64_31099 |
| 55× | distribute-rgt-in_binary64_31059 |
| 50× | +-commutative_binary64_31039 |
| 41× | distribute-lft-in_binary64_31058 |
| 40× | /-rgt-identity_binary64_31100 distribute-lft-neg-in_binary64_31066 |
| 38× | log-div_binary64_31196 |
| 36× | cube-div_binary64_31138 distribute-lft-neg-out_binary64_31068 |
| 34× | associate-+l-_binary64_31044 |
| 32× | log-prod_binary64_31195 pow-sqr_binary64_31082 |
| 30× | cube-prod_binary64_31137 |
| 28× | associate--l+_binary64_31046 associate-+r-_binary64_31043 |
| 26× | associate-+l+_binary64_31042 |
| 24× | swap-sqr_binary64_31076 |
| 23× | associate-+r+_binary64_31041 |
| 19× | exp-prod_binary64_31161 +-rgt-identity_binary64_31094 |
| 18× | associate--r+_binary64_31045 |
| 17× | sub0-neg_binary64_31096 distribute-rgt-out_binary64_31062 |
| 15× | distribute-neg-out_binary64_31071 distribute-rgt-out--_binary64_31063 |
| 14× | difference-of-squares_binary64_31078 distribute-neg-in_binary64_31070 |
| 13× | pow-plus_binary64_31172 |
| 12× | cube-unmult_binary64_31146 distribute-lft-out_binary64_31060 |
| 11× | distribute-lft-out--_binary64_31061 |
| 9× | div-exp_binary64_31160 prod-exp_binary64_31158 |
| 8× | exp-sqrt_binary64_31162 remove-double-div_binary64_31085 |
| 7× | log-rec_binary64_31197 |
| 5× | unpow3_binary64_31175 cube-mult_binary64_31139 cancel-sign-sub_binary64_31074 distribute-rgt-neg-out_binary64_31069 |
| 4× | exp-lft-sqr_binary64_31164 mul0-rgt_binary64_31092 mul0-lft_binary64_31091 |
| 3× | log-pow_binary64_31198 rec-exp_binary64_31159 distribute-rgt1-in_binary64_31065 |
| 2× | unpow2_binary64_31174 unpow1_binary64_31167 associate--l-_binary64_31047 |
| 1× | exp-diff_binary64_31157 1-exp_binary64_31153 exp-1-e_binary64_31152 rem-log-exp_binary64_31150 rem-sqrt-square_binary64_31122 remove-double-neg_binary64_31097 +-lft-identity_binary64_31093 *-inverses_binary64_31089 rgt-mult-inverse_binary64_31086 distribute-frac-neg_binary64_31072 |
| 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_31372 erf-erfc_binary64_31371 erf-odd_binary64_31370 if-if-and-not_binary64_31369 if-if-and_binary64_31368 if-if-or-not_binary64_31367 if-if-or_binary64_31366 if-not_binary64_31365 if-same_binary64_31364 if-false_binary64_31363 if-true_binary64_31362 not-gte_binary64_31361 not-lte_binary64_31360 not-gt_binary64_31359 not-lt_binary64_31358 gte-same_binary64_31357 lte-same_binary64_31356 gt-same_binary64_31355 lt-same_binary64_31354 sinh---cosh_binary64_31301 sinh-+-cosh_binary64_31300 sinh-cosh_binary64_31299 tanh-def-c_binary64_31298 tanh-def-b_binary64_31297 tanh-def-a_binary64_31296 cosh-def_binary64_31295 sinh-def_binary64_31294 tan-neg_binary64_31241 cos-neg_binary64_31240 sin-neg_binary64_31239 tan-0_binary64_31238 cos-0_binary64_31237 sin-0_binary64_31236 hang-m-tan_binary64_31235 hang-p-tan_binary64_31234 hang-m0-tan_binary64_31233 hang-p0-tan_binary64_31232 hang-0m-tan_binary64_31231 hang-0p-tan_binary64_31230 tan-+PI/2_binary64_31229 tan-+PI_binary64_31228 tan-PI_binary64_31227 tan-PI/3_binary64_31226 tan-PI/4_binary64_31225 tan-PI/6_binary64_31224 cos-+PI/2_binary64_31223 cos-+PI_binary64_31222 cos-PI_binary64_31221 cos-PI/2_binary64_31220 cos-PI/3_binary64_31219 cos-PI/4_binary64_31218 cos-PI/6_binary64_31217 sin-+PI/2_binary64_31216 sin-+PI_binary64_31215 sin-PI_binary64_31214 sin-PI/2_binary64_31213 sin-PI/3_binary64_31212 sin-PI/4_binary64_31211 sin-PI/6_binary64_31210 sub-1-sin_binary64_31209 sub-1-cos_binary64_31208 -1-add-sin_binary64_31207 -1-add-cos_binary64_31206 1-sub-sin_binary64_31205 1-sub-cos_binary64_31204 cos-sin-sum_binary64_31203 log-E_binary64_31199 pow-base-0_binary64_31193 unpow1/3_binary64_31176 unpow1/2_binary64_31173 exp-to-pow_binary64_31171 pow-base-1_binary64_31169 unpow0_binary64_31168 unpow-1_binary64_31166 exp-lft-cube_binary64_31165 exp-cbrt_binary64_31163 exp-neg_binary64_31156 exp-sum_binary64_31155 e-exp-1_binary64_31154 exp-0_binary64_31151 rem-exp-log_binary64_31149 cube-neg_binary64_31136 rem-3cbrt-rft_binary64_31135 rem-3cbrt-lft_binary64_31134 rem-cbrt-cube_binary64_31133 rem-cube-cbrt_binary64_31132 sqr-abs_binary64_31124 sqr-neg_binary64_31123 rem-square-sqrt_binary64_31121 mul-1-neg_binary64_31101 --rgt-identity_binary64_31095 div0_binary64_31090 +-inverses_binary64_31088 lft-mult-inverse_binary64_31087 difference-of-sqr--1_binary64_31080 difference-of-sqr-1_binary64_31079 distribute-lft1-in_binary64_31064 count-2_binary64_31057 associate--r-_binary64_31048 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1634 |
| 1 | 368 | 1520 |
| 2 | 1099 | 1493 |
| 3 | 3893 | 1493 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 0 | 189 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 189 | 5 | 194 |
Compiled 3235 to 1636 computations (49.4% saved)
Found 2 expressions with local error:
| 0.1b | (*.f64 (/.f64 (*.f64 x (sqrt.f64 100)) (+.f64 x y)) (sqrt.f64 100)) |
| 0.2b | (/.f64 (*.f64 x (sqrt.f64 100)) (+.f64 x y)) |
| 1× | rewrite-expression-head |
| 16× | add-exp-log_binary64_31147 add-cbrt-cube_binary64_31145 |
| 14× | *-un-lft-identity_binary64_31109 |
| 12× | add-sqr-sqrt_binary64_31131 |
| 10× | associate-*l*_binary64_31050 |
| 8× | add-cube-cbrt_binary64_31144 times-frac_binary64_31115 |
| 6× | associate-*r*_binary64_31049 |
| 5× | prod-exp_binary64_31158 cbrt-unprod_binary64_31142 |
| 4× | pow1_binary64_31170 div-exp_binary64_31160 cbrt-undiv_binary64_31143 associate-/r/_binary64_31055 associate-/r*_binary64_31053 sqrt-prod_binary64_31125 |
| 3× | distribute-lft-out_binary64_31060 |
| 2× | add-log-exp_binary64_31148 div-inv_binary64_31106 flip3-+_binary64_31112 flip-+_binary64_31083 unswap-sqr_binary64_31077 |
| 1× | frac-2neg_binary64_31120 clear-num_binary64_31108 associate-/l*_binary64_31054 pow-prod-down_binary64_31180 associate-*l/_binary64_31052 *-commutative_binary64_31040 |
2 calls:
| 13.0ms | (*.f64 (/.f64 (*.f64 x (sqrt.f64 100)) (+.f64 x y)) (sqrt.f64 100)) |
| 7.0ms | (/.f64 (*.f64 x (sqrt.f64 100)) (+.f64 x y)) |
Compiled 1133 to 716 computations (36.8% saved)
2 calls:
| 102.0ms | (/.f64 (*.f64 x (sqrt.f64 100)) (+.f64 x y)) |
| 97.0ms | (*.f64 (/.f64 (*.f64 x (sqrt.f64 100)) (+.f64 x y)) (sqrt.f64 100)) |
Compiled 1131 to 937 computations (17.2% saved)
| 1× | egg-herbie |
| 473× | cancel-sign-sub-inv_binary64_31075 |
| 285× | *-commutative_binary64_31040 |
| 245× | associate-/r*_binary64_31053 |
| 215× | associate-/l/_binary64_31056 |
| 210× | associate-/r/_binary64_31055 |
| 201× | distribute-rgt-in_binary64_31059 |
| 193× | distribute-rgt-neg-in_binary64_31067 |
| 180× | sub-neg_binary64_31102 |
| 178× | distribute-lft-neg-in_binary64_31066 |
| 177× | distribute-lft-in_binary64_31058 |
| 130× | unswap-sqr_binary64_31077 |
| 120× | distribute-neg-frac_binary64_31073 |
| 108× | associate-*l*_binary64_31050 |
| 93× | distribute-rgt-out--_binary64_31063 |
| 88× | associate-*l/_binary64_31052 |
| 84× | associate-/l*_binary64_31054 |
| 80× | associate-*r*_binary64_31049 |
| 77× | neg-mul-1_binary64_31105 |
| 76× | neg-sub0_binary64_31104 |
| 74× | times-frac_binary64_31115 |
| 67× | sqr-pow_binary64_31081 |
| 65× | distribute-rgt-out_binary64_31062 |
| 64× | distribute-lft-out_binary64_31060 |
| 56× | associate-*r/_binary64_31051 |
| 54× | log-div_binary64_31196 log-prod_binary64_31195 |
| 52× | cube-div_binary64_31138 |
| 48× | +-commutative_binary64_31039 |
| 46× | cube-prod_binary64_31137 |
| 45× | *-rgt-identity_binary64_31099 associate-+l-_binary64_31044 |
| 44× | distribute-lft-out--_binary64_31061 |
| 43× | div-sub_binary64_31114 swap-sqr_binary64_31076 |
| 41× | associate-+l+_binary64_31042 |
| 35× | associate-+r+_binary64_31041 |
| 32× | associate-+r-_binary64_31043 |
| 30× | pow-sqr_binary64_31082 associate--l+_binary64_31046 |
| 29× | unsub-neg_binary64_31103 |
| 21× | /-rgt-identity_binary64_31100 +-rgt-identity_binary64_31094 |
| 19× | exp-prod_binary64_31161 sub0-neg_binary64_31096 distribute-lft-neg-out_binary64_31068 |
| 17× | *-lft-identity_binary64_31098 |
| 16× | associate--r+_binary64_31045 |
| 15× | distribute-neg-in_binary64_31070 |
| 14× | difference-of-squares_binary64_31078 distribute-rgt1-in_binary64_31065 |
| 13× | unpow3_binary64_31175 cube-mult_binary64_31139 |
| 12× | pow-plus_binary64_31172 |
| 10× | associate--l-_binary64_31047 |
| 7× | cube-unmult_binary64_31146 |
| 4× | distribute-rgt-neg-out_binary64_31069 |
| 3× | log-pow_binary64_31198 rem-sqrt-square_binary64_31122 cancel-sign-sub_binary64_31074 |
| 2× | log-rec_binary64_31197 unpow2_binary64_31174 pow-base-1_binary64_31169 unpow1_binary64_31167 distribute-frac-neg_binary64_31072 distribute-lft1-in_binary64_31064 associate--r-_binary64_31048 |
| 1× | exp-lft-sqr_binary64_31164 exp-sqrt_binary64_31162 div-exp_binary64_31160 rec-exp_binary64_31159 prod-exp_binary64_31158 exp-diff_binary64_31157 1-exp_binary64_31153 exp-1-e_binary64_31152 rem-log-exp_binary64_31150 rem-square-sqrt_binary64_31121 remove-double-neg_binary64_31097 --rgt-identity_binary64_31095 div0_binary64_31090 *-inverses_binary64_31089 rgt-mult-inverse_binary64_31086 |
| 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_31372 erf-erfc_binary64_31371 erf-odd_binary64_31370 if-if-and-not_binary64_31369 if-if-and_binary64_31368 if-if-or-not_binary64_31367 if-if-or_binary64_31366 if-not_binary64_31365 if-same_binary64_31364 if-false_binary64_31363 if-true_binary64_31362 not-gte_binary64_31361 not-lte_binary64_31360 not-gt_binary64_31359 not-lt_binary64_31358 gte-same_binary64_31357 lte-same_binary64_31356 gt-same_binary64_31355 lt-same_binary64_31354 sinh---cosh_binary64_31301 sinh-+-cosh_binary64_31300 sinh-cosh_binary64_31299 tanh-def-c_binary64_31298 tanh-def-b_binary64_31297 tanh-def-a_binary64_31296 cosh-def_binary64_31295 sinh-def_binary64_31294 tan-neg_binary64_31241 cos-neg_binary64_31240 sin-neg_binary64_31239 tan-0_binary64_31238 cos-0_binary64_31237 sin-0_binary64_31236 hang-m-tan_binary64_31235 hang-p-tan_binary64_31234 hang-m0-tan_binary64_31233 hang-p0-tan_binary64_31232 hang-0m-tan_binary64_31231 hang-0p-tan_binary64_31230 tan-+PI/2_binary64_31229 tan-+PI_binary64_31228 tan-PI_binary64_31227 tan-PI/3_binary64_31226 tan-PI/4_binary64_31225 tan-PI/6_binary64_31224 cos-+PI/2_binary64_31223 cos-+PI_binary64_31222 cos-PI_binary64_31221 cos-PI/2_binary64_31220 cos-PI/3_binary64_31219 cos-PI/4_binary64_31218 cos-PI/6_binary64_31217 sin-+PI/2_binary64_31216 sin-+PI_binary64_31215 sin-PI_binary64_31214 sin-PI/2_binary64_31213 sin-PI/3_binary64_31212 sin-PI/4_binary64_31211 sin-PI/6_binary64_31210 sub-1-sin_binary64_31209 sub-1-cos_binary64_31208 -1-add-sin_binary64_31207 -1-add-cos_binary64_31206 1-sub-sin_binary64_31205 1-sub-cos_binary64_31204 cos-sin-sum_binary64_31203 log-E_binary64_31199 pow-base-0_binary64_31193 unpow1/3_binary64_31176 unpow1/2_binary64_31173 exp-to-pow_binary64_31171 unpow0_binary64_31168 unpow-1_binary64_31166 exp-lft-cube_binary64_31165 exp-cbrt_binary64_31163 exp-neg_binary64_31156 exp-sum_binary64_31155 e-exp-1_binary64_31154 exp-0_binary64_31151 rem-exp-log_binary64_31149 cube-neg_binary64_31136 rem-3cbrt-rft_binary64_31135 rem-3cbrt-lft_binary64_31134 rem-cbrt-cube_binary64_31133 rem-cube-cbrt_binary64_31132 sqr-abs_binary64_31124 sqr-neg_binary64_31123 mul-1-neg_binary64_31101 +-lft-identity_binary64_31093 mul0-rgt_binary64_31092 mul0-lft_binary64_31091 +-inverses_binary64_31088 lft-mult-inverse_binary64_31087 remove-double-div_binary64_31085 difference-of-sqr--1_binary64_31080 difference-of-sqr-1_binary64_31079 distribute-neg-out_binary64_31071 count-2_binary64_31057 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 1620 |
| 1 | 378 | 1461 |
| 2 | 1366 | 1407 |
| 3 | 2953 | 1353 |
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 241 | 0 | 241 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 241 | 5 | 246 |
Compiled 4378 to 2411 computations (44.9% saved)
Total 0.2b remaining (99.3%)
Threshold costs 0.2b (99.3%)
Compiled 842 to 683 computations (18.9% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64_31040 +-commutative_binary64_31039 |
| 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_31369 if-if-and_binary64_31368 if-if-or-not_binary64_31367 if-if-or_binary64_31366 if-not_binary64_31365 if-same_binary64_31364 if-false_binary64_31363 if-true_binary64_31362 tan-0_binary64_31238 cos-0_binary64_31237 sin-0_binary64_31236 unpow1_binary64_31167 e-exp-1_binary64_31154 1-exp_binary64_31153 exp-1-e_binary64_31152 exp-0_binary64_31151 sqr-abs_binary64_31124 sqr-neg_binary64_31123 neg-mul-1_binary64_31105 neg-sub0_binary64_31104 unsub-neg_binary64_31103 sub-neg_binary64_31102 mul-1-neg_binary64_31101 /-rgt-identity_binary64_31100 *-rgt-identity_binary64_31099 *-lft-identity_binary64_31098 remove-double-neg_binary64_31097 sub0-neg_binary64_31096 --rgt-identity_binary64_31095 +-rgt-identity_binary64_31094 +-lft-identity_binary64_31093 cancel-sign-sub-inv_binary64_31075 cancel-sign-sub_binary64_31074 distribute-neg-frac_binary64_31073 distribute-frac-neg_binary64_31072 distribute-neg-out_binary64_31071 distribute-neg-in_binary64_31070 distribute-rgt-neg-out_binary64_31069 distribute-lft-neg-out_binary64_31068 distribute-rgt-neg-in_binary64_31067 distribute-lft-neg-in_binary64_31066 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 9 | 10 |
(* f64 (/ f64 h0 (+ f64 h0 h1)) 100) |
| 1× | intervals |
| 200.0ms | 8000× | body | 128 | valid |
Compiled 289 to 232 computations (19.7% saved)
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