Time bar (total: 2.0s)
| 1× | search |
| 2× | egg-herbie |
| 502× | sqr-pow_binary64 |
| 428× | unswap-sqr_binary64 |
| 356× | distribute-rgt-in_binary64 |
| 334× | associate-/l/_binary64 |
| 290× | associate-*r/_binary64 |
| 288× | pow-sqr_binary64 |
| 268× | associate-/r/_binary64 |
| 264× | associate-*l/_binary64 |
| 214× | associate-*l*_binary64 |
| 206× | *-commutative_binary64 |
| 194× | exp-prod_binary64 |
| 140× | associate-*r*_binary64 |
| 138× | associate-/l*_binary64 |
| 120× | swap-sqr_binary64 |
| 108× | cube-prod_binary64 |
| 104× | distribute-rgt-out_binary64 |
| 92× | rem-sqrt-square_binary64 |
| 72× | associate-/r*_binary64 |
| 54× | pow-plus_binary64 |
| 50× | prod-exp_binary64 |
| 48× | unpow3_binary64 |
| 44× | cube-mult_binary64 |
| 30× | distribute-lft-out_binary64 |
| 28× | exp-sqrt_binary64 *-lft-identity_binary64 distribute-lft-in_binary64 |
| 24× | unpow1/2_binary64 |
| 22× | *-rgt-identity_binary64 |
| 16× | unpow2_binary64 exp-lft-sqr_binary64 |
| 14× | unpow1_binary64 distribute-rgt1-in_binary64 |
| 12× | exp-sum_binary64 |
| 10× | cube-unmult_binary64 |
| 4× | rem-square-sqrt_binary64 /-rgt-identity_binary64 remove-double-div_binary64 |
| 2× | distribute-lft1-in_binary64 associate-+l+_binary64 associate-+r+_binary64 |
| 1× | 1-exp_binary64 exp-1-e_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 22 | 18 |
| 3 | 40 | 18 |
| 4 | 90 | 18 |
| 5 | 209 | 18 |
| 6 | 514 | 18 |
| 7 | 801 | 18 |
| 8 | 2374 | 18 |
| 9 | 2580 | 18 |
| 10 | 2979 | 18 |
| 11 | 3597 | 18 |
| 12 | 5074 | 18 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 50% | 50% | 0.1% | 2 |
| 50% | 50% | 0.1% | 3 |
| 50% | 50% | 0.1% | 4 |
| 62.4% | 37.5% | 0.1% | 5 |
| 68.7% | 31.2% | 0.1% | 6 |
| 68.7% | 18.7% | 12.6% | 7 |
| 71.8% | 15.6% | 12.6% | 8 |
| 71.8% | 9.4% | 18.8% | 9 |
| 73.4% | 7.8% | 18.8% | 10 |
| 73.4% | 4.7% | 22% | 11 |
| 74.1% | 3.9% | 22% | 12 |
| 74.1% | 2.3% | 23.5% | 13 |
| 74.5% | 2% | 23.5% | 14 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
| 3.0ms | 154× | body | 128 | invalid |
Compiled 13 to 13 computations (0% saved)
| 1× | egg-herbie |
| 581× | prod-exp_binary64 |
| 457× | associate-*l*_binary64 |
| 428× | pow-sqr_binary64 |
| 414× | associate-*l/_binary64 |
| 380× | sqr-pow_binary64 |
| 368× | exp-prod_binary64 unswap-sqr_binary64 |
| 256× | associate-*r*_binary64 |
| 251× | associate-/l*_binary64 |
| 241× | associate-/r*_binary64 |
| 190× | *-commutative_binary64 |
| 157× | associate-/l/_binary64 |
| 141× | distribute-rgt-out_binary64 |
| 126× | times-frac_binary64 associate-/r/_binary64 |
| 123× | cube-prod_binary64 |
| 122× | rem-sqrt-square_binary64 |
| 116× | distribute-rgt-in_binary64 |
| 102× | unpow3_binary64 |
| 101× | exp-sum_binary64 |
| 83× | swap-sqr_binary64 |
| 79× | distribute-lft-in_binary64 |
| 66× | associate-*r/_binary64 |
| 54× | cube-mult_binary64 |
| 50× | pow-plus_binary64 |
| 42× | distribute-lft-out_binary64 |
| 36× | exp-sqrt_binary64 |
| 26× | *-rgt-identity_binary64 |
| 25× | unpow1/2_binary64 |
| 24× | count-2_binary64 |
| 15× | unpow2_binary64 |
| 14× | exp-lft-sqr_binary64 |
| 12× | unpow1_binary64 |
| 10× | associate-+l+_binary64 associate-+r+_binary64 |
| 9× | cube-unmult_binary64 |
| 8× | distribute-rgt1-in_binary64 |
| 7× | rem-square-sqrt_binary64 remove-double-div_binary64 |
| 5× | *-lft-identity_binary64 |
| 3× | /-rgt-identity_binary64 |
| 1× | exp-lft-cube_binary64 1-exp_binary64 exp-1-e_binary64 distribute-lft1-in_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 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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 9 | 9 |
| 2 | 13 | 9 |
| 3 | 22 | 9 |
| 4 | 48 | 9 |
| 5 | 110 | 9 |
| 6 | 268 | 9 |
| 7 | 777 | 9 |
| 8 | 1444 | 9 |
| 9 | 2361 | 9 |
| 10 | 2667 | 9 |
| 11 | 3131 | 9 |
| 12 | 4154 | 9 |
| 13 | 4940 | 9 |
| 14 | 4977 | 9 |
| 15 | 4993 | 9 |
| 16 | 5723 | 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 5 computations (16.7% saved)
Found 2 expressions with local error:
| 0.0b | (*.f64 x (exp.f64 (*.f64 y y))) |
| 0.0b | (exp.f64 (*.f64 y y)) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64 |
| 4× | add-log-exp_binary64 pow1_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 3× | add-exp-log_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 1× | exp-to-pow_binary64 exp-prod_binary64 rem-exp-log_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 |
2 calls:
| 5.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
Compiled 298 to 71 computations (76.2% saved)
2 calls:
| 17.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 7.0ms | (exp.f64 (*.f64 y y)) |
Compiled 266 to 230 computations (13.5% saved)
| 1× | egg-herbie |
| 575× | distribute-rgt-out_binary64 |
| 336× | distribute-rgt-in_binary64 |
| 314× | distribute-lft-in_binary64 |
| 312× | *-commutative_binary64 |
| 311× | associate-+l+_binary64 |
| 295× | exp-prod_binary64 |
| 275× | unswap-sqr_binary64 |
| 269× | associate-+r+_binary64 |
| 248× | count-2_binary64 |
| 229× | associate-/l/_binary64 |
| 193× | associate-*l*_binary64 |
| 183× | associate-/r/_binary64 |
| 164× | sqr-pow_binary64 |
| 144× | associate-*r*_binary64 |
| 139× | distribute-lft-out_binary64 |
| 90× | log-prod_binary64 |
| 88× | +-commutative_binary64 |
| 77× | exp-sum_binary64 |
| 63× | pow-sqr_binary64 |
| 61× | log-pow_binary64 |
| 58× | cube-prod_binary64 |
| 54× | exp-to-pow_binary64 associate-/l*_binary64 |
| 53× | swap-sqr_binary64 |
| 49× | unpow3_binary64 |
| 41× | times-frac_binary64 |
| 37× | distribute-rgt1-in_binary64 |
| 30× | *-lft-identity_binary64 |
| 29× | *-rgt-identity_binary64 |
| 23× | cube-div_binary64 |
| 18× | pow-plus_binary64 associate-/r*_binary64 associate-*r/_binary64 |
| 17× | rem-sqrt-square_binary64 |
| 16× | cube-unmult_binary64 |
| 12× | distribute-lft1-in_binary64 |
| 11× | associate-*l/_binary64 |
| 9× | exp-sqrt_binary64 |
| 7× | log-div_binary64 unpow1/2_binary64 |
| 6× | exp-lft-sqr_binary64 |
| 5× | prod-exp_binary64 |
| 4× | rem-log-exp_binary64 cube-mult_binary64 |
| 3× | unpow2_binary64 rem-exp-log_binary64 /-rgt-identity_binary64 |
| 1× | log-E_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_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-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 493 |
| 1 | 133 | 448 |
| 2 | 350 | 442 |
| 3 | 737 | 439 |
| 4 | 1192 | 439 |
| 5 | 3099 | 439 |
| 6 | 4553 | 439 |
| 7 | 4939 | 439 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 2 | 28 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 3 | 29 |
Compiled 237 to 98 computations (58.6% saved)
Found 1 expressions with local error:
| 6.3b | (*.f64 (*.f64 y y) x) |
| 1× | rewrite-expression-head |
| 6× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 3× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*r*_binary64 |
| 2× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 1× | add-log-exp_binary64 unswap-sqr_binary64 associate-*l*_binary64 *-commutative_binary64 |
1 calls:
| 6.0ms | (*.f64 (*.f64 y y) x) |
Compiled 213 to 70 computations (67.1% saved)
1 calls:
| 18.0ms | (*.f64 (*.f64 y y) x) |
Compiled 91 to 78 computations (14.3% saved)
| 1× | egg-herbie |
| 697× | associate-/l*_binary64 |
| 412× | log-div_binary64 |
| 381× | associate-/r*_binary64 |
| 366× | unswap-sqr_binary64 |
| 301× | associate-*l*_binary64 |
| 251× | sqr-pow_binary64 |
| 198× | times-frac_binary64 |
| 191× | distribute-rgt-in_binary64 |
| 187× | *-commutative_binary64 |
| 186× | associate-*r*_binary64 |
| 175× | distribute-lft-in_binary64 |
| 115× | associate-/l/_binary64 |
| 107× | pow-sqr_binary64 |
| 99× | associate-+l+_binary64 |
| 98× | log-prod_binary64 exp-prod_binary64 |
| 95× | distribute-lft-out_binary64 |
| 82× | associate-/r/_binary64 |
| 77× | cube-prod_binary64 |
| 70× | associate-*r/_binary64 |
| 64× | associate-+r+_binary64 |
| 62× | distribute-rgt-out_binary64 |
| 48× | +-commutative_binary64 |
| 43× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 42× | cube-div_binary64 |
| 40× | swap-sqr_binary64 |
| 31× | rem-sqrt-square_binary64 |
| 28× | count-2_binary64 |
| 27× | log-pow_binary64 |
| 23× | associate-*l/_binary64 |
| 21× | unpow3_binary64 |
| 17× | pow-plus_binary64 cube-mult_binary64 |
| 11× | log-rec_binary64 |
| 10× | distribute-rgt1-in_binary64 |
| 7× | unpow1/2_binary64 exp-sqrt_binary64 cube-unmult_binary64 |
| 6× | /-rgt-identity_binary64 |
| 4× | exp-lft-sqr_binary64 distribute-lft1-in_binary64 |
| 3× | unpow2_binary64 |
| 1× | unpow1_binary64 1-exp_binary64 exp-1-e_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-cbrt_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-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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 257 |
| 1 | 86 | 212 |
| 2 | 256 | 212 |
| 3 | 570 | 212 |
| 4 | 872 | 212 |
| 5 | 1649 | 212 |
| 6 | 2860 | 212 |
| 7 | 4862 | 212 |
| 8 | 5314 | 212 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 20 | 0 | 20 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 20 | 3 | 23 |
Compiled 119 to 43 computations (63.9% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 25× | cbrt-prod_binary64 |
| 23× | add-sqr-sqrt_binary64 |
| 15× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 11× | pow1_binary64 |
| 9× | pow1/3_binary64 |
| 6× | add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 |
| 2× | pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 |
| 1× | pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 |
4 calls:
| 6.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1215 to 234 computations (80.7% saved)
4 calls:
| 19.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 17.0ms | (cbrt.f64 x) |
| 16.0ms | (cbrt.f64 x) |
| 15.0ms | (cbrt.f64 x) |
Compiled 500 to 347 computations (30.6% saved)
| 1× | egg-herbie |
| 586× | log-prod_binary64 |
| 416× | sqr-pow_binary64 |
| 335× | associate-*l*_binary64 |
| 309× | *-commutative_binary64 |
| 277× | distribute-rgt-neg-in_binary64 |
| 257× | distribute-lft-neg-in_binary64 |
| 227× | associate-*r*_binary64 |
| 188× | exp-prod_binary64 |
| 161× | log-pow_binary64 |
| 149× | cube-prod_binary64 |
| 128× | pow-sqr_binary64 |
| 124× | unswap-sqr_binary64 |
| 111× | swap-sqr_binary64 |
| 104× | associate-/l*_binary64 |
| 81× | cancel-sign-sub-inv_binary64 |
| 75× | associate-+l+_binary64 |
| 69× | associate-+r+_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 60× | distribute-lft-out_binary64 |
| 57× | distribute-lft-in_binary64 |
| 54× | neg-sub0_binary64 |
| 53× | neg-mul-1_binary64 |
| 48× | distribute-rgt-out_binary64 |
| 45× | +-commutative_binary64 |
| 43× | pow-plus_binary64 rem-sqrt-square_binary64 |
| 41× | times-frac_binary64 sub-neg_binary64 |
| 37× | associate-/r/_binary64 |
| 35× | associate-*r/_binary64 |
| 32× | unpow3_binary64 |
| 31× | *-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64 |
| 29× | count-2_binary64 |
| 27× | cube-mult_binary64 |
| 24× | associate-/r*_binary64 |
| 17× | log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64 |
| 13× | cube-unmult_binary64 distribute-rgt1-in_binary64 |
| 11× | distribute-rgt-neg-out_binary64 |
| 10× | unpow1/2_binary64 |
| 9× | distribute-lft-neg-out_binary64 distribute-lft1-in_binary64 |
| 8× | unpow2_binary64 associate-*l/_binary64 |
| 5× | unpow1_binary64 |
| 3× | unpow1/3_binary64 |
| 2× | exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 |
| 1× | exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-+l-_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_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-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 /-rgt-identity_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-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 718 |
| 1 | 97 | 666 |
| 2 | 308 | 646 |
| 3 | 1135 | 632 |
| 4 | 2034 | 548 |
| 5 | 3257 | 548 |
| 6 | 4939 | 548 |
| 7 | 4873 | 548 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 1 | 50 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 51 | 2 | 53 |
Compiled 438 to 148 computations (66.2% saved)
Found 4 expressions with local error:
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 x) |
| 1.0b | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) |
| 1× | rewrite-expression-head |
| 18× | cbrt-prod_binary64 |
| 11× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 9× | unpow-prod-down_binary64 |
| 5× | pow1_binary64 add-exp-log_binary64 |
| 4× | pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 |
| 3× | pow-unpow_binary64 |
| 2× | pow-pow_binary64 |
| 1× | pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64 |
4 calls:
| 4.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 x) |
Compiled 1237 to 395 computations (68.1% saved)
4 calls:
| 33.0ms | (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) |
| 18.0ms | (cbrt.f64 x) |
| 18.0ms | (cbrt.f64 x) |
| 17.0ms | (cbrt.f64 x) |
Compiled 640 to 457 computations (28.6% saved)
| 1× | egg-herbie |
| 592× | associate-*l*_binary64 |
| 402× | associate-*r*_binary64 |
| 334× | log-prod_binary64 |
| 291× | distribute-rgt-in_binary64 |
| 287× | distribute-lft-in_binary64 |
| 190× | sqr-pow_binary64 |
| 162× | unswap-sqr_binary64 |
| 142× | cube-prod_binary64 |
| 138× | exp-prod_binary64 |
| 137× | associate-+l+_binary64 associate-+r+_binary64 |
| 98× | distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
| 85× | *-commutative_binary64 |
| 78× | associate-/l*_binary64 |
| 73× | log-pow_binary64 |
| 55× | unpow3_binary64 |
| 50× | cube-unmult_binary64 |
| 48× | neg-sub0_binary64 |
| 47× | neg-mul-1_binary64 |
| 46× | pow-plus_binary64 |
| 40× | associate-/l/_binary64 |
| 38× | cancel-sign-sub-inv_binary64 |
| 35× | pow-sqr_binary64 distribute-rgt-out_binary64 |
| 30× | cube-mult_binary64 unsub-neg_binary64 |
| 27× | times-frac_binary64 |
| 26× | count-2_binary64 |
| 25× | associate-*r/_binary64 |
| 22× | swap-sqr_binary64 |
| 21× | distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 associate-/r*_binary64 |
| 20× | distribute-lft-out_binary64 |
| 16× | associate-/r/_binary64 |
| 9× | sub-neg_binary64 |
| 7× | rem-sqrt-square_binary64 |
| 5× | unpow2_binary64 *-lft-identity_binary64 associate-*l/_binary64 +-commutative_binary64 |
| 4× | *-rgt-identity_binary64 distribute-rgt1-in_binary64 |
| 3× | unpow1/3_binary64 |
| 2× | mul-1-neg_binary64 /-rgt-identity_binary64 associate-+l-_binary64 |
| 1× | unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_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 log-div_binary64 pow-base-0_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-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_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 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-neg-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 630 |
| 1 | 139 | 591 |
| 2 | 293 | 591 |
| 3 | 702 | 591 |
| 4 | 2023 | 591 |
| 5 | 4495 | 583 |
| 6 | 4915 | 583 |
| 7 | 4896 | 583 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 1 | 31 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 30 | 3 | 33 |
Compiled 395 to 153 computations (61.3% saved)
Total -0.0b remaining (-36.1%)
Threshold costs -0.0b (-36.1%)
Compiled 2272 to 1457 computations (35.9% saved)
| 1× | egg-herbie |
| 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 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 1-exp_binary64 exp-1-e_binary64 exp-0_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 | 6 | 9 |
| 1 | 7 | 9 |
| 2 | 7 | 9 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | intervals |
| 190.0ms | 8000× | body | 128 | valid |
| 101.0ms | 4113× | body | 128 | invalid |
Compiled 69 to 57 computations (17.4% saved)
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