Time bar (total: 6.8s)
| 1× | search |
| 2× | egg-herbie |
| 32× | associate-/l*_binary64 |
| 22× | associate-/r/_binary64 associate-*r/_binary64 |
| 20× | associate-/r*_binary64 |
| 10× | times-frac_binary64 associate-/l/_binary64 associate-*l/_binary64 *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 154 |
| 1 | 83 | 154 |
| 2 | 157 | 154 |
| 3 | 173 | 154 |
| 4 | 171 | 154 |
| 5 | 171 | 154 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 6.2% | 93.6% | 0.2% | 9 |
| 9.4% | 90.4% | 0.2% | 10 |
| 14% | 83.4% | 2.5% | 11 |
| 18.7% | 78.2% | 3.1% | 12 |
| 28.1% | 65.5% | 6.4% | 13 |
| 30.7% | 59.4% | 9.9% | 14 |
Compiled 16 to 12 computations (25% saved)
| 1× | intervals |
| 10.0ms | 256× | body | 128 | valid |
| 8.0ms | 207× | body | 128 | invalid |
Compiled 31 to 27 computations (12.9% saved)
| 1× | egg-herbie |
| 8× | associate-/l*_binary64 |
| 6× | associate-/r/_binary64 associate-*r/_binary64 |
| 4× | associate-/r*_binary64 |
| 2× | times-frac_binary64 associate-/l/_binary64 associate-*l/_binary64 *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 25 | 22 |
| 2 | 43 | 22 |
| 3 | 51 | 22 |
| 4 | 49 | 22 |
| 5 | 49 | 22 |
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 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| 21.7b | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 21.8b | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 1× | rewrite-expression-head |
| 26× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 8× | prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 |
| 2× | pow1_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 frac-2neg_binary64 times-frac_binary64 *-un-lft-identity_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64 |
2 calls:
| 6.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 6.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 918 to 174 computations (81% saved)
2 calls:
| 23.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 21.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 390 to 334 computations (14.4% saved)
| 1× | egg-herbie |
| 658× | associate-/l*_binary64 |
| 562× | unswap-sqr_binary64 |
| 430× | associate-*l/_binary64 |
| 324× | associate-*l*_binary64 |
| 318× | associate-/r*_binary64 |
| 278× | associate-*r/_binary64 |
| 248× | associate-*r*_binary64 |
| 200× | associate-/l/_binary64 |
| 198× | times-frac_binary64 |
| 156× | associate-/r/_binary64 |
| 140× | sub-neg_binary64 |
| 136× | sqr-pow_binary64 |
| 86× | log-prod_binary64 |
| 64× | log-div_binary64 |
| 60× | cube-prod_binary64 |
| 58× | *-commutative_binary64 |
| 52× | cube-div_binary64 |
| 44× | unpow3_binary64 |
| 40× | neg-mul-1_binary64 |
| 38× | neg-sub0_binary64 |
| 36× | pow-plus_binary64 |
| 34× | cube-mult_binary64 associate-+l+_binary64 |
| 32× | cancel-sign-sub-inv_binary64 |
| 28× | pow-sqr_binary64 swap-sqr_binary64 associate-+r+_binary64 +-commutative_binary64 |
| 26× | unsub-neg_binary64 associate--l+_binary64 associate--r+_binary64 |
| 24× | distribute-lft-neg-in_binary64 |
| 22× | distribute-rgt-neg-in_binary64 distribute-rgt-in_binary64 associate-+l-_binary64 |
| 20× | log-pow_binary64 distribute-lft-in_binary64 |
| 18× | cube-unmult_binary64 |
| 12× | exp-prod_binary64 +-rgt-identity_binary64 associate-+r-_binary64 |
| 10× | sub0-neg_binary64 count-2_binary64 |
| 8× | mul0-rgt_binary64 mul0-lft_binary64 |
| 6× | rem-sqrt-square_binary64 --rgt-identity_binary64 distribute-neg-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 |
| 4× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64 |
| 2× | remove-double-neg_binary64 +-lft-identity_binary64 associate--r-_binary64 |
| 1× | 1-exp_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 830 |
| 1 | 229 | 586 |
| 2 | 796 | 536 |
| 3 | 3128 | 506 |
| 4 | 4060 | 506 |
| 5 | 5115 | 506 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 6 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 33 | 6 | 39 |
Compiled 261 to 115 computations (55.9% saved)
Found 2 expressions with local error:
| 0.3b | (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))) |
| 21.7b | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 1× | rewrite-expression-head |
| 16× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 9× | pow1_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 6× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 5× | prod-exp_binary64 cbrt-unprod_binary64 |
| 4× | div-exp_binary64 cbrt-undiv_binary64 |
| 3× | swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 2× | add-log-exp_binary64 |
| 1× | frac-2neg_binary64 times-frac_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64 pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 sqr-abs_binary64 pow-sqr_binary64 unswap-sqr_binary64 *-commutative_binary64 |
2 calls:
| 6.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 3.0ms | (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))) |
Compiled 1042 to 169 computations (83.8% saved)
2 calls:
| 21.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 15.0ms | (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))) |
Compiled 403 to 319 computations (20.8% saved)
| 1× | egg-herbie |
| 528× | times-frac_binary64 |
| 488× | unswap-sqr_binary64 |
| 333× | associate-/l*_binary64 |
| 284× | associate-*l*_binary64 |
| 218× | associate-*l/_binary64 |
| 201× | log-prod_binary64 |
| 185× | distribute-rgt-in_binary64 |
| 184× | sqr-pow_binary64 |
| 178× | associate-*r*_binary64 |
| 156× | associate-/r*_binary64 |
| 148× | associate-*r/_binary64 |
| 120× | exp-prod_binary64 |
| 105× | cube-prod_binary64 |
| 103× | swap-sqr_binary64 |
| 95× | associate-/l/_binary64 |
| 84× | sub-neg_binary64 |
| 78× | unpow3_binary64 |
| 73× | associate-/r/_binary64 |
| 60× | cube-mult_binary64 |
| 53× | pow-plus_binary64 associate-+l+_binary64 |
| 51× | pow-sqr_binary64 |
| 49× | cancel-sign-sub-inv_binary64 |
| 47× | associate-+r+_binary64 |
| 46× | log-div_binary64 |
| 43× | log-pow_binary64 |
| 38× | *-commutative_binary64 |
| 37× | cube-div_binary64 |
| 36× | distribute-neg-in_binary64 |
| 29× | distribute-rgt-neg-in_binary64 |
| 27× | distribute-lft-neg-in_binary64 |
| 24× | cube-unmult_binary64 distribute-lft-in_binary64 |
| 21× | neg-mul-1_binary64 |
| 20× | neg-sub0_binary64 |
| 19× | rem-sqrt-square_binary64 |
| 18× | distribute-lft-out_binary64 |
| 17× | *-rgt-identity_binary64 distribute-rgt-out_binary64 |
| 15× | *-lft-identity_binary64 distribute-lft-out--_binary64 associate-+l-_binary64 |
| 14× | +-commutative_binary64 |
| 13× | unsub-neg_binary64 associate--l+_binary64 associate--r+_binary64 |
| 10× | count-2_binary64 |
| 9× | unpow1/2_binary64 associate-+r-_binary64 |
| 8× | unpow2_binary64 |
| 6× | +-rgt-identity_binary64 |
| 5× | unpow1_binary64 sub0-neg_binary64 |
| 4× | mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64 |
| 3× | --rgt-identity_binary64 distribute-lft-neg-out_binary64 |
| 2× | distribute-rgt-neg-out_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate--l-_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 803 |
| 1 | 171 | 619 |
| 2 | 564 | 579 |
| 3 | 2273 | 546 |
| 4 | 3763 | 507 |
| 5 | 4803 | 453 |
| 6 | 4926 | 453 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 5 | 48 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 45 | 9 | 54 |
Compiled 538 to 225 computations (58.2% saved)
Found 2 expressions with local error:
| 0.3b | (pow.f64 (/.f64 x y) 2) |
| 0.3b | (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))) |
| 1× | rewrite-expression-head |
| 16× | add-sqr-sqrt_binary64 |
| 14× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 13× | unpow-prod-down_binary64 |
| 10× | pow1_binary64 |
| 9× | times-frac_binary64 |
| 7× | add-exp-log_binary64 |
| 4× | add-cbrt-cube_binary64 |
| 3× | swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 pow-unpow_binary64 |
| 2× | add-log-exp_binary64 pow-exp_binary64 |
| 1× | pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 sqr-abs_binary64 pow-sqr_binary64 unswap-sqr_binary64 *-commutative_binary64 div-inv_binary64 pow-pow_binary64 pow-to-exp_binary64 div-exp_binary64 unpow2_binary64 sqr-pow_binary64 |
2 calls:
| 4.0ms | (pow.f64 (/.f64 x y) 2) |
| 3.0ms | (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))) |
Compiled 1118 to 342 computations (69.4% saved)
2 calls:
| 18.0ms | (pow.f64 (/.f64 x y) 2) |
| 16.0ms | (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))) |
Compiled 377 to 319 computations (15.4% saved)
| 1× | egg-herbie |
| 462× | log-div_binary64 |
| 395× | associate-/r*_binary64 |
| 391× | associate-/l/_binary64 |
| 329× | log-prod_binary64 |
| 294× | associate-*l*_binary64 |
| 201× | associate-*r*_binary64 |
| 179× | associate-/r/_binary64 |
| 157× | sqr-pow_binary64 |
| 132× | associate-*l/_binary64 |
| 115× | associate-*r/_binary64 |
| 114× | log-pow_binary64 |
| 111× | unpow3_binary64 |
| 99× | unswap-sqr_binary64 |
| 96× | cube-prod_binary64 |
| 87× | exp-prod_binary64 |
| 85× | swap-sqr_binary64 |
| 74× | associate-/l*_binary64 |
| 58× | associate-+l+_binary64 |
| 54× | associate-+r+_binary64 |
| 53× | pow-plus_binary64 |
| 49× | rem-sqrt-square_binary64 |
| 43× | *-commutative_binary64 |
| 42× | distribute-rgt-in_binary64 |
| 38× | cube-div_binary64 |
| 36× | cube-unmult_binary64 times-frac_binary64 |
| 35× | pow-sqr_binary64 |
| 33× | distribute-lft-in_binary64 |
| 25× | unpow2_binary64 unpow1/2_binary64 |
| 23× | unpow1_binary64 *-rgt-identity_binary64 |
| 19× | associate-+l-_binary64 |
| 17× | *-lft-identity_binary64 |
| 12× | sub-neg_binary64 associate-+r-_binary64 |
| 10× | distribute-lft-out_binary64 |
| 9× | log-rec_binary64 cube-mult_binary64 |
| 8× | /-rgt-identity_binary64 count-2_binary64 |
| 7× | associate--r+_binary64 |
| 6× | distribute-rgt-out_binary64 |
| 5× | cancel-sign-sub-inv_binary64 |
| 4× | associate--l+_binary64 |
| 3× | rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 neg-sub0_binary64 associate--r-_binary64 +-commutative_binary64 |
| 2× | rem-3cbrt-lft_binary64 neg-mul-1_binary64 unsub-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64 associate--l-_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 sqr-abs_binary64 sub0-neg_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64 distribute-rgt-neg-in_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 887 |
| 1 | 222 | 699 |
| 2 | 529 | 653 |
| 3 | 1764 | 630 |
| 4 | 4252 | 623 |
| 5 | 4904 | 623 |
| 6 | 5119 | 623 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 8 | 48 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 45 | 12 | 57 |
Compiled 725 to 329 computations (54.6% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 (sqrt.f64 (fabs.f64 (/.f64 z t))) (pow.f64 (fabs.f64 (/.f64 z t)) 3/2)) |
| 0.2b | (pow.f64 (fabs.f64 (/.f64 z t)) 3/2) |
| 0.3b | (pow.f64 (/.f64 x y) 2) |
| 8.9b | (sqrt.f64 (fabs.f64 (/.f64 z t))) |
| 1× | rewrite-expression-head |
| 30× | add-sqr-sqrt_binary64 |
| 21× | unpow-prod-down_binary64 |
| 19× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 13× | add-exp-log_binary64 |
| 9× | sqrt-prod_binary64 times-frac_binary64 |
| 8× | pow1_binary64 |
| 7× | associate-*r*_binary64 |
| 6× | add-cbrt-cube_binary64 pow-unpow_binary64 unswap-sqr_binary64 associate-*l*_binary64 |
| 5× | sqr-pow_binary64 |
| 4× | add-log-exp_binary64 pow-exp_binary64 |
| 3× | pow-to-exp_binary64 prod-exp_binary64 |
| 2× | pow1/2_binary64 sqrt-pow1_binary64 pow-pow_binary64 pow-prod-up_binary64 |
| 1× | rem-sqrt-square_binary64 div-inv_binary64 div-exp_binary64 unpow2_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
4 calls:
| 6.0ms | (*.f64 (sqrt.f64 (fabs.f64 (/.f64 z t))) (pow.f64 (fabs.f64 (/.f64 z t)) 3/2)) |
| 4.0ms | (pow.f64 (/.f64 x y) 2) |
| 2.0ms | (pow.f64 (fabs.f64 (/.f64 z t)) 3/2) |
| 1.0ms | (sqrt.f64 (fabs.f64 (/.f64 z t))) |
Compiled 2132 to 834 computations (60.9% saved)
4 calls:
| 36.0ms | (pow.f64 (fabs.f64 (/.f64 z t)) 3/2) |
| 20.0ms | (pow.f64 (/.f64 x y) 2) |
| 15.0ms | (sqrt.f64 (fabs.f64 (/.f64 z t))) |
| 15.0ms | (*.f64 (sqrt.f64 (fabs.f64 (/.f64 z t))) (pow.f64 (fabs.f64 (/.f64 z t)) 3/2)) |
Compiled 897 to 719 computations (19.8% saved)
| 1× | egg-herbie |
| 457× | associate-*l*_binary64 |
| 398× | associate-/l/_binary64 |
| 397× | associate-/r*_binary64 |
| 333× | associate-*r*_binary64 |
| 258× | log-div_binary64 |
| 193× | sqr-pow_binary64 |
| 178× | associate-/r/_binary64 |
| 167× | log-prod_binary64 |
| 135× | cube-prod_binary64 |
| 126× | exp-prod_binary64 |
| 113× | unswap-sqr_binary64 |
| 110× | associate-*l/_binary64 |
| 108× | swap-sqr_binary64 |
| 95× | associate-*r/_binary64 |
| 79× | log-pow_binary64 |
| 78× | *-commutative_binary64 |
| 72× | associate-/l*_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 59× | rem-sqrt-square_binary64 |
| 52× | pow-plus_binary64 distribute-lft-in_binary64 |
| 45× | cube-unmult_binary64 pow-sqr_binary64 |
| 36× | times-frac_binary64 |
| 32× | cube-div_binary64 |
| 28× | *-rgt-identity_binary64 |
| 25× | *-lft-identity_binary64 |
| 24× | unpow1/2_binary64 |
| 23× | unpow2_binary64 unpow1_binary64 |
| 11× | unpow3_binary64 |
| 10× | sub-neg_binary64 count-2_binary64 |
| 9× | cube-mult_binary64 |
| 8× | /-rgt-identity_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 |
| 6× | associate-+l+_binary64 associate-+r+_binary64 |
| 5× | cancel-sign-sub-inv_binary64 |
| 4× | pow-base-1_binary64 |
| 3× | log-rec_binary64 rem-square-sqrt_binary64 neg-sub0_binary64 +-commutative_binary64 |
| 2× | rem-3cbrt-rft_binary64 neg-mul-1_binary64 unsub-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft-out--_binary64 associate-+l-_binary64 associate-+r-_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sub0-neg_binary64 +-rgt-identity_binary64 distribute-neg-in_binary64 distribute-rgt-neg-in_binary64 |
| 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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 1747 |
| 1 | 298 | 1600 |
| 2 | 721 | 1473 |
| 3 | 2240 | 1462 |
| 4 | 4777 | 1462 |
| 5 | 5127 | 1462 |
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 2 | 64 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 62 | 14 | 76 |
Compiled 832 to 315 computations (62.1% saved)
Total 0.4b remaining (86.2%)
Threshold costs 0.4b (86.2%)
Compiled 49571 to 34558 computations (30.3% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 sqr-abs_binary64 *-lft-identity_binary64 *-commutative_binary64 +-commutative_binary64 |
| 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 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 19 |
| 1 | 19 | 19 |
| 2 | 18 | 19 |
Compiled 13 to 10 computations (23.1% saved)
| 1× | intervals |
| 350.0ms | 8000× | body | 128 | valid |
| 256.0ms | 6008× | body | 128 | invalid |
Compiled 334 to 249 computations (25.4% saved)
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