Time bar (total: 2.5s)
| 1× | search |
| 2× | egg-herbie |
| 28× | associate-*l*_binary64 |
| 26× | associate-*r*_binary64 |
| 11× | *-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 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-/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 | 20 |
| 1 | 20 | 20 |
| 2 | 48 | 20 |
| 3 | 58 | 20 |
| 4 | 54 | 20 |
| 5 | 54 | 20 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 37.5% | 12.6% | 7 |
| 56.2% | 31.2% | 12.6% | 8 |
| 62.4% | 18.7% | 18.8% | 9 |
| 65.6% | 15.6% | 18.8% | 10 |
| 68.7% | 9.4% | 22% | 11 |
| 70.2% | 7.8% | 22% | 12 |
| 71.8% | 4.7% | 23.5% | 13 |
| 72.6% | 3.9% | 23.5% | 14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 5.0ms | 256× | body | 128 | valid |
| 0.0ms | 7× | body | 128 | invalid |
Compiled 15 to 15 computations (0% saved)
| 1× | egg-herbie |
| 13× | associate-*l*_binary64 |
| 11× | associate-*r*_binary64 |
| 10× | *-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 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-/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 | 10 |
| 1 | 14 | 10 |
| 2 | 28 | 10 |
| 3 | 36 | 10 |
| 4 | 35 | 10 |
| 5 | 35 | 10 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 14 to 12 computations (14.3% saved)
Found 2 expressions with local error:
| 0.2b | (*.f64 (*.f64 (*.f64 x 3) y) y) |
| 0.2b | (*.f64 (*.f64 x 3) y) |
| 1× | rewrite-expression-head |
| 16× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 |
| 9× | pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 |
| 6× | associate-*r*_binary64 |
| 4× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 2× | add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64 |
2 calls:
| 7.0ms | (*.f64 (*.f64 (*.f64 x 3) y) y) |
| 5.0ms | (*.f64 (*.f64 x 3) y) |
Compiled 458 to 270 computations (41% saved)
2 calls:
| 17.0ms | (*.f64 (*.f64 (*.f64 x 3) y) y) |
| 13.0ms | (*.f64 (*.f64 x 3) y) |
Compiled 182 to 167 computations (8.2% saved)
| 1× | egg-herbie |
| 420× | associate-+l+_binary64 |
| 372× | *-commutative_binary64 |
| 360× | associate-/l*_binary64 |
| 328× | associate-*l/_binary64 |
| 303× | associate-/l/_binary64 |
| 271× | sqr-pow_binary64 |
| 270× | unswap-sqr_binary64 |
| 243× | associate-+r+_binary64 |
| 233× | associate-/r/_binary64 |
| 215× | associate-*l*_binary64 |
| 154× | distribute-rgt-in_binary64 |
| 142× | distribute-lft-in_binary64 |
| 132× | associate-*r*_binary64 |
| 131× | pow-sqr_binary64 |
| 100× | associate-/r*_binary64 |
| 99× | swap-sqr_binary64 |
| 74× | cube-prod_binary64 |
| 69× | times-frac_binary64 |
| 68× | exp-prod_binary64 |
| 61× | log-prod_binary64 |
| 46× | rem-sqrt-square_binary64 |
| 45× | distribute-rgt-out_binary64 |
| 42× | associate-*r/_binary64 |
| 31× | +-commutative_binary64 |
| 27× | distribute-lft-out_binary64 |
| 22× | unpow3_binary64 |
| 15× | *-rgt-identity_binary64 distribute-rgt1-in_binary64 |
| 14× | *-lft-identity_binary64 |
| 13× | cube-unmult_binary64 cube-mult_binary64 |
| 11× | pow-plus_binary64 prod-exp_binary64 |
| 10× | unpow1/2_binary64 |
| 8× | distribute-lft1-in_binary64 count-2_binary64 |
| 7× | exp-lft-cube_binary64 |
| 5× | log-pow_binary64 log-div_binary64 cube-div_binary64 |
| 1× | unpow2_binary64 unpow1_binary64 exp-lft-sqr_binary64 exp-sqrt_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 log-rec_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 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 /-rgt-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 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 | 64 | 612 |
| 1 | 159 | 504 |
| 2 | 676 | 504 |
| 3 | 1005 | 502 |
| 4 | 1463 | 502 |
| 5 | 2702 | 502 |
| 6 | 5058 | 502 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 7 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 30 | 8 | 38 |
Compiled 315 to 182 computations (42.2% saved)
Found 2 expressions with local error:
| 0.2b | (*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y) |
| 0.3b | (*.f64 3 (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 19× | add-exp-log_binary64 |
| 11× | prod-exp_binary64 |
| 9× | add-cbrt-cube_binary64 |
| 8× | pow1_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64 |
| 5× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 4× | pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 |
| 3× | pow-exp_binary64 |
| 2× | add-log-exp_binary64 *-commutative_binary64 unswap-sqr_binary64 sqr-pow_binary64 |
| 1× | pow-to-exp_binary64 unpow-prod-down_binary64 |
2 calls:
| 6.0ms | (*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y) |
| 5.0ms | (*.f64 3 (*.f64 x y)) |
Compiled 616 to 378 computations (38.6% saved)
2 calls:
| 16.0ms | (*.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1) y) |
| 14.0ms | (*.f64 3 (*.f64 x y)) |
Compiled 208 to 193 computations (7.2% saved)
| 1× | egg-herbie |
| 493× | distribute-rgt-in_binary64 |
| 456× | distribute-lft-in_binary64 |
| 408× | sqr-pow_binary64 |
| 348× | *-commutative_binary64 |
| 265× | unswap-sqr_binary64 |
| 182× | cube-prod_binary64 pow-sqr_binary64 |
| 163× | log-prod_binary64 |
| 158× | exp-prod_binary64 |
| 155× | associate-*l*_binary64 |
| 150× | associate-/l*_binary64 |
| 148× | +-commutative_binary64 |
| 130× | associate-*r*_binary64 |
| 116× | associate-+l+_binary64 |
| 107× | *-rgt-identity_binary64 |
| 96× | *-lft-identity_binary64 |
| 95× | associate-+r+_binary64 |
| 72× | unpow3_binary64 |
| 66× | cube-mult_binary64 |
| 65× | swap-sqr_binary64 |
| 60× | times-frac_binary64 associate-/l/_binary64 |
| 55× | associate-/r*_binary64 |
| 51× | associate-/r/_binary64 |
| 44× | associate-*r/_binary64 |
| 42× | rem-sqrt-square_binary64 |
| 40× | log-pow_binary64 |
| 37× | distribute-rgt-out_binary64 |
| 28× | distribute-lft-out_binary64 |
| 24× | pow-plus_binary64 |
| 18× | prod-exp_binary64 |
| 15× | count-2_binary64 |
| 12× | cube-unmult_binary64 associate-*l/_binary64 |
| 11× | unpow1/2_binary64 |
| 8× | unpow2_binary64 |
| 7× | unpow1_binary64 exp-lft-cube_binary64 distribute-rgt1-in_binary64 |
| 4× | /-rgt-identity_binary64 |
| 3× | distribute-lft1-in_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-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-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 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 | 82 | 642 |
| 1 | 156 | 585 |
| 2 | 646 | 585 |
| 3 | 1136 | 583 |
| 4 | 2110 | 583 |
| 5 | 4342 | 583 |
| 6 | 4971 | 583 |
| 7 | 4898 | 583 |
| 8 | 4958 | 583 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 33 | 2 | 35 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 35 | 8 | 43 |
Compiled 368 to 220 computations (40.2% saved)
Found 4 expressions with local error:
| 0.5b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 0.6b | (cbrt.f64 y) |
| 0.6b | (cbrt.f64 y) |
| 0.6b | (cbrt.f64 y) |
| 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 y) (cbrt.f64 y)) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
| 1.0ms | (cbrt.f64 y) |
Compiled 1283 to 492 computations (61.7% saved)
4 calls:
| 20.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 17.0ms | (cbrt.f64 y) |
| 17.0ms | (cbrt.f64 y) |
| 16.0ms | (cbrt.f64 y) |
Compiled 532 to 398 computations (25.2% 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 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 2 | 50 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 49 | 9 | 58 |
Compiled 556 to 311 computations (44.1% saved)
Found 4 expressions with local error:
| 0.4b | (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1))) |
| 8.6b | (cbrt.f64 (*.f64 3 (*.f64 x y))) |
| 8.6b | (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) |
| 8.6b | (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) |
| 1× | rewrite-expression-head |
| 43× | cbrt-prod_binary64 |
| 26× | add-sqr-sqrt_binary64 |
| 14× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 12× | sqr-pow_binary64 |
| 11× | pow1_binary64 |
| 9× | pow1/3_binary64 unswap-sqr_binary64 |
| 8× | swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 6× | add-exp-log_binary64 unpow-prod-down_binary64 |
| 4× | add-log-exp_binary64 add-cbrt-cube_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:
| 10.0ms | (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1))) |
| 3.0ms | (cbrt.f64 (*.f64 3 (*.f64 x y))) |
| 2.0ms | (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) |
| 2.0ms | (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) |
Compiled 2902 to 1901 computations (34.5% saved)
4 calls:
| 62.0ms | (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1))) |
| 48.0ms | (cbrt.f64 (*.f64 3 (*.f64 x y))) |
| 47.0ms | (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) |
| 47.0ms | (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 1)) |
Compiled 2077 to 1637 computations (21.2% saved)
| 1× | egg-herbie |
| 597× | exp-sum_binary64 |
| 488× | unswap-sqr_binary64 |
| 432× | associate-*l*_binary64 |
| 389× | exp-prod_binary64 |
| 348× | associate-*r*_binary64 |
| 246× | distribute-rgt-in_binary64 |
| 221× | distribute-lft-in_binary64 |
| 187× | exp-diff_binary64 |
| 151× | log-prod_binary64 |
| 122× | distribute-neg-out_binary64 |
| 120× | *-commutative_binary64 |
| 113× | exp-neg_binary64 |
| 107× | sqr-pow_binary64 |
| 102× | unsub-neg_binary64 |
| 82× | div-sub_binary64 |
| 80× | log-pow_binary64 |
| 74× | exp-to-pow_binary64 |
| 72× | sub-neg_binary64 |
| 58× | swap-sqr_binary64 distribute-rgt-neg-out_binary64 |
| 55× | log-div_binary64 |
| 47× | distribute-lft-neg-out_binary64 |
| 44× | cancel-sign-sub-inv_binary64 |
| 41× | distribute-lft-out_binary64 |
| 40× | pow-plus_binary64 neg-sub0_binary64 |
| 32× | distribute-rgt-out_binary64 |
| 30× | *-rgt-identity_binary64 distribute-neg-in_binary64 |
| 27× | exp-lft-sqr_binary64 *-lft-identity_binary64 |
| 26× | neg-mul-1_binary64 distribute-rgt-neg-in_binary64 associate-+r-_binary64 |
| 24× | unpow1/3_binary64 |
| 23× | prod-exp_binary64 |
| 22× | pow-sqr_binary64 |
| 20× | cube-prod_binary64 distribute-frac-neg_binary64 |
| 17× | unpow3_binary64 +-commutative_binary64 |
| 14× | cube-unmult_binary64 distribute-rgt-out--_binary64 associate--r-_binary64 associate-+l-_binary64 |
| 13× | rem-sqrt-square_binary64 |
| 12× | distribute-lft-neg-in_binary64 associate--l-_binary64 |
| 11× | associate-+r+_binary64 |
| 10× | distribute-lft-out--_binary64 |
| 8× | unpow1/2_binary64 unpow1_binary64 |
| 7× | log-rec_binary64 unpow2_binary64 associate-/l*_binary64 associate-+l+_binary64 |
| 6× | rem-exp-log_binary64 +-rgt-identity_binary64 |
| 4× | rec-exp_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-/r*_binary64 associate--l+_binary64 associate--r+_binary64 |
| 3× | rem-3cbrt-lft_binary64 |
| 2× | div-exp_binary64 count-2_binary64 |
| 1× | log-E_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_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-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 mul-1-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-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 2291 |
| 1 | 261 | 2173 |
| 2 | 549 | 1985 |
| 3 | 2050 | 1871 |
| 4 | 4458 | 1787 |
| 5 | 4911 | 1787 |
| 6 | 4697 | 1787 |
| 7 | 5415 | 1787 |
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 1 | 97 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 97 | 9 | 106 |
Compiled 1755 to 1096 computations (37.5% saved)
Total 0.2b remaining (85.4%)
Threshold costs 0.2b (85.4%)
Compiled 5632 to 4218 computations (25.1% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | unpow1_binary64 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 e-exp-1_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 | 9 | 10 |
| 1 | 14 | 10 |
| 2 | 13 | 10 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | intervals |
| 184.0ms | 8000× | body | 128 | valid |
| 3.0ms | 164× | body | 128 | invalid |
Compiled 168 to 133 computations (20.8% saved)
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