Time bar (total: 3.6s)
| 1× | search |
| 2× | egg-herbie |
| 4× | associate-/r*_binary64 |
| 2× | *-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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_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-/l*_binary64 associate-*l/_binary64 associate-*r/_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 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 16 | 18 |
| 2 | 20 | 18 |
| 3 | 20 | 18 |
| 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 |
| 50% | 50% | 0.1% | 3 |
| 50% | 50% | 0.1% | 4 |
| 74.9% | 25% | 0.1% | 5 |
| 74.9% | 25% | 0.1% | 6 |
| 87.4% | 12.5% | 0.1% | 7 |
| 87.4% | 12.5% | 0.1% | 8 |
| 93.7% | 6.2% | 0.1% | 9 |
| 93.7% | 6.2% | 0.1% | 10 |
| 96.8% | 3.1% | 0.1% | 11 |
| 96.8% | 3.1% | 0.1% | 12 |
| 98.3% | 1.6% | 0.1% | 13 |
| 98.3% | 1.6% | 0.1% | 14 |
Compiled 7 to 7 computations (0% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
Compiled 13 to 15 computations (-15.4% saved)
| 1× | egg-herbie |
| 2× | associate-/r*_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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_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-/l*_binary64 associate-*l/_binary64 associate-*r/_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 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 10 | 9 |
| 2 | 12 | 9 |
| 3 | 12 | 9 |
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 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| 0.2b | (/.f64 g (*.f64 2 a)) |
| 13.2b | (cbrt.f64 (/.f64 g (*.f64 2 a))) |
| 1× | rewrite-expression-head |
| 7× | add-exp-log_binary64 add-cbrt-cube_binary64 cbrt-prod_binary64 |
| 6× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 |
| 3× | associate-/l*_binary64 |
| 2× | pow1_binary64 add-log-exp_binary64 div-inv_binary64 div-exp_binary64 cbrt-undiv_binary64 |
| 1× | pow1/3_binary64 cbrt-div_binary64 prod-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 associate-/r*_binary64 |
2 calls:
| 4.0ms | (/.f64 g (*.f64 2 a)) |
| 3.0ms | (cbrt.f64 (/.f64 g (*.f64 2 a))) |
Compiled 400 to 270 computations (32.5% saved)
2 calls:
| 46.0ms | (cbrt.f64 (/.f64 g (*.f64 2 a))) |
| 14.0ms | (/.f64 g (*.f64 2 a)) |
Compiled 305 to 293 computations (3.9% saved)
| 1× | egg-herbie |
| 537× | associate-/r/_binary64 |
| 530× | associate-*l*_binary64 |
| 394× | associate-*r*_binary64 |
| 327× | exp-sum_binary64 |
| 271× | div-sub_binary64 |
| 253× | *-commutative_binary64 |
| 224× | times-frac_binary64 |
| 222× | exp-diff_binary64 |
| 207× | associate-/l*_binary64 |
| 152× | exp-prod_binary64 |
| 141× | associate-+r+_binary64 |
| 139× | associate-/r*_binary64 |
| 119× | prod-exp_binary64 associate-+r-_binary64 |
| 111× | log-prod_binary64 |
| 93× | log-div_binary64 |
| 91× | sub-neg_binary64 |
| 88× | associate-+l-_binary64 |
| 85× | associate-/l/_binary64 |
| 84× | associate--r+_binary64 |
| 83× | associate-*l/_binary64 |
| 72× | distribute-rgt-in_binary64 |
| 70× | associate-*r/_binary64 |
| 66× | associate--r-_binary64 |
| 62× | distribute-lft-in_binary64 associate--l+_binary64 |
| 58× | associate-+l+_binary64 |
| 53× | associate--l-_binary64 |
| 45× | unsub-neg_binary64 |
| 44× | sqr-pow_binary64 |
| 42× | div-exp_binary64 |
| 32× | exp-to-pow_binary64 |
| 31× | log-pow_binary64 |
| 26× | neg-mul-1_binary64 neg-sub0_binary64 |
| 20× | cancel-sign-sub-inv_binary64 distribute-neg-out_binary64 |
| 18× | unpow1/3_binary64 +-commutative_binary64 |
| 17× | log-rec_binary64 |
| 14× | exp-neg_binary64 |
| 13× | distribute-neg-in_binary64 |
| 12× | pow-plus_binary64 unswap-sqr_binary64 |
| 11× | distribute-lft-out_binary64 |
| 10× | rec-exp_binary64 cube-unmult_binary64 sub0-neg_binary64 pow-sqr_binary64 distribute-rgt-neg-in_binary64 |
| 9× | unpow3_binary64 distribute-rgt-neg-out_binary64 |
| 8× | rem-exp-log_binary64 cube-prod_binary64 +-rgt-identity_binary64 distribute-lft-neg-in_binary64 |
| 7× | swap-sqr_binary64 distribute-frac-neg_binary64 |
| 6× | cube-div_binary64 distribute-lft-neg-out_binary64 |
| 4× | --rgt-identity_binary64 |
| 2× | pow-base-1_binary64 unpow-1_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-rgt-out--_binary64 count-2_binary64 |
| 1× | log-E_binary64 unpow2_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 fabs-mul_binary64 fabs-sqr_binary64 *-lft-identity_binary64 distribute-lft-out--_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 pow-base-0_binary64 unpow1/2_binary64 unpow0_binary64 unpow1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 616 |
| 1 | 195 | 571 |
| 2 | 484 | 564 |
| 3 | 1775 | 530 |
| 4 | 4125 | 506 |
| 5 | 4897 | 506 |
| 6 | 4751 | 504 |
| 7 | 4865 | 504 |
| 8 | 5045 | 504 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 8 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 8 | 34 |
Compiled 338 to 254 computations (24.9% saved)
Found 3 expressions with local error:
| 0.4b | (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))) |
| 0.5b | (cbrt.f64 g) |
| 0.6b | (cbrt.f64 (/.f64 1/2 a)) |
| 1× | rewrite-expression-head |
| 39× | cbrt-prod_binary64 |
| 35× | add-sqr-sqrt_binary64 |
| 21× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 20× | times-frac_binary64 |
| 16× | associate-*r*_binary64 |
| 6× | unswap-sqr_binary64 associate-*l*_binary64 |
| 5× | pow1_binary64 add-exp-log_binary64 |
| 4× | pow1/3_binary64 |
| 3× | add-log-exp_binary64 add-cbrt-cube_binary64 |
| 2× | cbrt-div_binary64 div-inv_binary64 pow-prod-down_binary64 |
| 1× | prod-exp_binary64 cbrt-unprod_binary64 associate-*r/_binary64 *-commutative_binary64 |
3 calls:
| 9.0ms | (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))) |
| 2.0ms | (cbrt.f64 (/.f64 1/2 a)) |
| 1.0ms | (cbrt.f64 g) |
Compiled 1000 to 629 computations (37.1% saved)
3 calls:
| 47.0ms | (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a))) |
| 18.0ms | (cbrt.f64 (/.f64 1/2 a)) |
| 17.0ms | (cbrt.f64 g) |
Compiled 403 to 384 computations (4.7% saved)
| 1× | egg-herbie |
| 390× | exp-diff_binary64 |
| 379× | associate-*l*_binary64 |
| 314× | associate-*r*_binary64 |
| 260× | associate-/r*_binary64 |
| 243× | associate-+l+_binary64 |
| 194× | associate--r+_binary64 |
| 172× | distribute-rgt-in_binary64 |
| 171× | times-frac_binary64 |
| 166× | *-commutative_binary64 |
| 157× | log-div_binary64 distribute-lft-in_binary64 |
| 148× | log-prod_binary64 |
| 145× | exp-prod_binary64 |
| 135× | associate-/l*_binary64 |
| 124× | exp-sum_binary64 |
| 110× | unswap-sqr_binary64 |
| 88× | associate-+r-_binary64 |
| 77× | sub-neg_binary64 |
| 72× | unsub-neg_binary64 |
| 69× | associate--l+_binary64 |
| 66× | associate--r-_binary64 |
| 65× | associate-+l-_binary64 |
| 64× | sqr-pow_binary64 |
| 62× | cancel-sign-sub-inv_binary64 |
| 61× | div-sub_binary64 |
| 58× | distribute-rgt-neg-in_binary64 |
| 48× | distribute-lft-neg-in_binary64 |
| 47× | associate-/l/_binary64 |
| 42× | *-rgt-identity_binary64 |
| 38× | *-lft-identity_binary64 |
| 35× | distribute-neg-in_binary64 |
| 32× | associate--l-_binary64 |
| 29× | exp-to-pow_binary64 associate-*l/_binary64 |
| 28× | neg-sub0_binary64 |
| 27× | neg-mul-1_binary64 |
| 26× | associate-+r+_binary64 |
| 24× | log-pow_binary64 cube-prod_binary64 |
| 22× | associate-*r/_binary64 |
| 17× | distribute-rgt-neg-out_binary64 associate-/r/_binary64 |
| 15× | +-commutative_binary64 |
| 14× | pow-sqr_binary64 |
| 13× | exp-neg_binary64 fabs-mul_binary64 distribute-neg-out_binary64 |
| 12× | unpow1/3_binary64 distribute-lft-out_binary64 |
| 11× | unpow3_binary64 |
| 10× | distribute-lft-neg-out_binary64 |
| 8× | div-exp_binary64 cube-unmult_binary64 swap-sqr_binary64 |
| 7× | log-rec_binary64 rem-exp-log_binary64 rem-sqrt-square_binary64 distribute-frac-neg_binary64 |
| 6× | distribute-rgt-out_binary64 |
| 5× | sub0-neg_binary64 +-rgt-identity_binary64 |
| 4× | /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 count-2_binary64 |
| 3× | pow-plus_binary64 rec-exp_binary64 prod-exp_binary64 fabs-sqr_binary64 |
| 2× | unpow1/2_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 distribute-rgt-out--_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 unpow2_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1183 |
| 1 | 256 | 1179 |
| 2 | 659 | 1156 |
| 3 | 1706 | 1122 |
| 4 | 4572 | 1112 |
| 5 | 5202 | 1112 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 6 | 41 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 36 | 13 | 49 |
Compiled 561 to 408 computations (27.3% saved)
Found 4 expressions with local error:
| 0.4b | (/.f64 (sqrt.f64 1/2) a) |
| 0.5b | (cbrt.f64 g) |
| 0.6b | (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)) |
| 1.0b | (cbrt.f64 (sqrt.f64 1/2)) |
| 1× | rewrite-expression-head |
| 36× | times-frac_binary64 |
| 35× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 31× | cbrt-prod_binary64 |
| 24× | sqrt-prod_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 |
| 4× | pow1_binary64 add-log-exp_binary64 |
| 3× | pow1/3_binary64 associate-/r*_binary64 |
| 2× | div-inv_binary64 |
| 1× | cbrt-div_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 |
4 calls:
| 4.0ms | (/.f64 (sqrt.f64 1/2) a) |
| 3.0ms | (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)) |
| 2.0ms | (cbrt.f64 (sqrt.f64 1/2)) |
| 1.0ms | (cbrt.f64 g) |
Compiled 1598 to 1216 computations (23.9% saved)
4 calls:
| 22.0ms | (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)) |
| 15.0ms | (cbrt.f64 g) |
| 9.0ms | (/.f64 (sqrt.f64 1/2) a) |
| 0.0ms | (cbrt.f64 (sqrt.f64 1/2)) |
Compiled 368 to 355 computations (3.5% saved)
| 1× | egg-herbie |
| 536× | div-exp_binary64 |
| 434× | associate-/r*_binary64 |
| 418× | associate-/r/_binary64 |
| 311× | *-commutative_binary64 |
| 256× | log-prod_binary64 |
| 247× | exp-sum_binary64 |
| 241× | exp-prod_binary64 |
| 229× | sub-neg_binary64 |
| 177× | div-sub_binary64 |
| 175× | exp-diff_binary64 |
| 170× | associate-*l*_binary64 |
| 136× | associate-*r*_binary64 |
| 113× | log-div_binary64 associate-/l*_binary64 |
| 94× | unswap-sqr_binary64 |
| 85× | associate-*l/_binary64 |
| 81× | log-pow_binary64 |
| 78× | associate-+r+_binary64 |
| 71× | associate-/l/_binary64 |
| 65× | prod-exp_binary64 cube-prod_binary64 associate-+l-_binary64 |
| 64× | times-frac_binary64 |
| 61× | associate-+l+_binary64 |
| 60× | associate-*r/_binary64 associate-+r-_binary64 |
| 52× | sqr-pow_binary64 |
| 47× | unpow3_binary64 pow-sqr_binary64 |
| 43× | neg-mul-1_binary64 neg-sub0_binary64 distribute-rgt-in_binary64 |
| 42× | distribute-lft-in_binary64 |
| 41× | distribute-rgt-neg-in_binary64 |
| 40× | +-commutative_binary64 |
| 39× | cube-div_binary64 distribute-lft-neg-in_binary64 |
| 38× | associate--l+_binary64 |
| 35× | fabs-mul_binary64 associate--l-_binary64 |
| 28× | unsub-neg_binary64 |
| 24× | /-rgt-identity_binary64 |
| 23× | pow-plus_binary64 |
| 21× | exp-to-pow_binary64 |
| 20× | cancel-sign-sub-inv_binary64 |
| 19× | unpow1/3_binary64 rem-sqrt-square_binary64 swap-sqr_binary64 |
| 15× | log-rec_binary64 cube-unmult_binary64 |
| 14× | associate--r-_binary64 associate--r+_binary64 |
| 13× | cube-mult_binary64 *-rgt-identity_binary64 |
| 12× | fabs-sqr_binary64 |
| 10× | rec-exp_binary64 |
| 8× | rem-exp-log_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 |
| 6× | *-lft-identity_binary64 distribute-neg-frac_binary64 count-2_binary64 |
| 5× | mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 |
| 4× | distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 |
| 3× | rem-3cbrt-lft_binary64 |
| 2× | exp-neg_binary64 div0_binary64 |
| 1× | unpow2_binary64 pow-base-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 1-exp_binary64 rem-log-exp_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 +-inverses_binary64 remove-double-div_binary64 distribute-lft-out_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 unpow1/2_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 1402 |
| 1 | 204 | 1344 |
| 2 | 458 | 1334 |
| 3 | 1392 | 1309 |
| 4 | 3277 | 1277 |
| 5 | 4259 | 1204 |
| 6 | 5509 | 1204 |
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 5 | 54 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 51 | 16 | 67 |
Compiled 841 to 685 computations (18.5% saved)
Found 4 expressions with local error:
| 0.4b | (*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))) |
| 0.5b | (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) |
| 0.5b | (cbrt.f64 g) |
| 0.6b | (cbrt.f64 (/.f64 -1 a)) |
| 1× | rewrite-expression-head |
| 42× | cbrt-prod_binary64 |
| 38× | add-sqr-sqrt_binary64 |
| 24× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 22× | associate-*l*_binary64 |
| 20× | times-frac_binary64 |
| 11× | pow1_binary64 add-exp-log_binary64 |
| 7× | pow1/3_binary64 pow-prod-down_binary64 associate-*r*_binary64 |
| 6× | unswap-sqr_binary64 |
| 5× | add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 |
| 3× | cbrt-div_binary64 |
| 2× | div-inv_binary64 associate-*l/_binary64 *-commutative_binary64 |
| 1× | associate-*r/_binary64 |
4 calls:
| 9.0ms | (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) |
| 8.0ms | (*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))) |
| 3.0ms | (cbrt.f64 g) |
| 3.0ms | (cbrt.f64 (/.f64 -1 a)) |
Compiled 1536 to 1121 computations (27% saved)
4 calls:
| 63.0ms | (*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))) |
| 26.0ms | (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) |
| 17.0ms | (cbrt.f64 (/.f64 -1 a)) |
| 15.0ms | (cbrt.f64 g) |
Compiled 573 to 551 computations (3.8% saved)
| 1× | egg-herbie |
| 338× | *-commutative_binary64 |
| 318× | log-prod_binary64 |
| 289× | unswap-sqr_binary64 |
| 231× | associate-/r*_binary64 |
| 229× | times-frac_binary64 |
| 223× | associate-/l*_binary64 |
| 197× | distribute-rgt-in_binary64 |
| 186× | distribute-lft-in_binary64 |
| 145× | log-div_binary64 |
| 140× | exp-sum_binary64 |
| 121× | exp-prod_binary64 |
| 119× | associate-*r*_binary64 |
| 117× | associate-*l*_binary64 |
| 114× | associate-/l/_binary64 |
| 102× | sqr-pow_binary64 |
| 81× | sub-neg_binary64 |
| 71× | log-pow_binary64 |
| 69× | div-sub_binary64 unsub-neg_binary64 |
| 64× | exp-diff_binary64 |
| 55× | associate-/r/_binary64 |
| 51× | cancel-sign-sub-inv_binary64 |
| 46× | cube-prod_binary64 |
| 40× | swap-sqr_binary64 |
| 38× | distribute-rgt-neg-in_binary64 |
| 37× | distribute-lft-neg-in_binary64 |
| 36× | associate-+r+_binary64 |
| 29× | neg-mul-1_binary64 neg-sub0_binary64 associate-+l+_binary64 |
| 28× | distribute-neg-in_binary64 |
| 26× | pow-sqr_binary64 |
| 21× | associate-+r-_binary64 |
| 18× | associate-*r/_binary64 +-commutative_binary64 |
| 17× | *-rgt-identity_binary64 distribute-rgt-neg-out_binary64 |
| 14× | fabs-mul_binary64 associate-*l/_binary64 |
| 13× | exp-neg_binary64 rem-sqrt-square_binary64 distribute-neg-out_binary64 |
| 12× | *-lft-identity_binary64 distribute-frac-neg_binary64 |
| 11× | log-rec_binary64 associate-+l-_binary64 |
| 10× | unpow1/3_binary64 associate--r+_binary64 |
| 9× | exp-to-pow_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out_binary64 associate--r-_binary64 |
| 8× | cube-unmult_binary64 distribute-lft-out_binary64 |
| 7× | rem-exp-log_binary64 count-2_binary64 associate--l-_binary64 |
| 6× | fabs-sqr_binary64 /-rgt-identity_binary64 sub0-neg_binary64 |
| 5× | unpow3_binary64 cube-mult_binary64 +-rgt-identity_binary64 |
| 4× | remove-double-neg_binary64 --rgt-identity_binary64 associate--l+_binary64 |
| 3× | prod-exp_binary64 |
| 2× | unpow1/2_binary64 pow-plus_binary64 rec-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64 |
| 1× | log-E_binary64 unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 div0_binary64 distribute-rgt-out--_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 pow-base-0_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1583 |
| 1 | 324 | 1572 |
| 2 | 859 | 1528 |
| 3 | 1768 | 1446 |
| 4 | 4436 | 1446 |
| 5 | 4986 | 1446 |
| 6 | 4924 | 1446 |
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 6 | 67 |
| Fresh | 4 | 10 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 66 | 17 | 83 |
Compiled 773 to 541 computations (30% saved)
Total 0.8b remaining (92.8%)
Threshold costs 0.8b (92.8%)
Compiled 14534 to 13210 computations (9.1% saved)
| 1× | egg-herbie |
| 3× | *-commutative_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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_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 *-lft-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 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 23 |
| 1 | 18 | 23 |
| 2 | 17 | 23 |
Compiled 14 to 14 computations (0% saved)
| 1× | intervals |
| 224.0ms | 8000× | body | 128 | valid |
Compiled 270 to 249 computations (7.8% saved)
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