Time bar (total: 2.0s)
| 1× | search |
| 2× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | associate-*l*_binary64 associate-*r*_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 | 6 | 9 |
| 1 | 10 | 9 |
| 2 | 11 | 9 |
| 3 | 11 | 9 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0.1% | 14 |
Compiled 7 to 6 computations (14.3% saved)
| 1× | intervals |
| 5.0ms | 256× | body | 128 | valid |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | associate-*l*_binary64 associate-*r*_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 | 6 | 9 |
| 1 | 10 | 9 |
| 2 | 11 | 9 |
| 3 | 11 | 9 |
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 12 to 10 computations (16.7% saved)
Found 1 expressions with local error:
| 26.9b | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
| 1× | rewrite-expression-head |
| 7× | pow1_binary64 |
| 3× | pow-prod-down_binary64 sqrt-pow1_binary64 |
| 1× | pow1/2_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64 *-un-lft-identity_binary64 |
1 calls:
| 3.0ms | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
Compiled 114 to 85 computations (25.4% saved)
1 calls:
| 7.0ms | (sqrt.f64 (*.f64 (*.f64 2 x) x)) |
Compiled 38 to 37 computations (2.6% saved)
| 1× | egg-herbie |
| 1268× | sqr-pow_binary64 |
| 651× | pow-sqr_binary64 |
| 362× | unswap-sqr_binary64 |
| 265× | cube-prod_binary64 |
| 201× | unpow3_binary64 |
| 198× | cube-mult_binary64 |
| 169× | associate-*l*_binary64 |
| 151× | *-commutative_binary64 |
| 103× | associate-*r*_binary64 |
| 48× | pow-plus_binary64 |
| 23× | distribute-rgt-in_binary64 |
| 17× | rem-sqrt-square_binary64 |
| 9× | cube-unmult_binary64 sub-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-in_binary64 |
| 6× | unpow2_binary64 unpow1/2_binary64 unpow1_binary64 +-commutative_binary64 |
| 4× | unsub-neg_binary64 |
| 3× | neg-sub0_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate--r+_binary64 associate-+l-_binary64 |
| 2× | mul-1-neg_binary64 distribute-rgt-neg-in_binary64 |
| 1× | 1-exp_binary64 rem-square-sqrt_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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-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 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-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_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 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 129 |
| 1 | 34 | 123 |
| 2 | 61 | 123 |
| 3 | 77 | 123 |
| 4 | 85 | 123 |
| 5 | 106 | 123 |
| 6 | 127 | 123 |
| 7 | 185 | 123 |
| 8 | 396 | 123 |
| 9 | 700 | 123 |
| 10 | 702 | 123 |
| 11 | 832 | 123 |
| 12 | 986 | 123 |
| 13 | 1203 | 123 |
| 14 | 1501 | 123 |
| 15 | 1874 | 123 |
| 16 | 2317 | 123 |
| 17 | 2840 | 123 |
| 18 | 3060 | 123 |
| 19 | 3130 | 123 |
| 20 | 3140 | 123 |
| 21 | 3142 | 123 |
| 22 | 3142 | 123 |
| 23 | 3711 | 123 |
| 24 | 4352 | 123 |
| 25 | 4798 | 123 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 6 | 4 | 10 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 6 | 5 | 11 |
Compiled 118 to 93 computations (21.2% saved)
Found 4 expressions with local error:
| 0.1b | (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) |
| 0.5b | (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))) |
| 26.9b | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 26.9b | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 1× | rewrite-expression-head |
| 158× | pow1_binary64 |
| 154× | sqrt-pow1_binary64 |
| 82× | pow-prod-down_binary64 |
| 33× | sqrt-prod_binary64 |
| 28× | add-sqr-sqrt_binary64 |
| 24× | pow1/2_binary64 |
| 21× | pow-prod-up_binary64 |
| 13× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 pow-sqr_binary64 |
| 9× | swap-sqr_binary64 |
| 7× | associate-*l*_binary64 associate-*r*_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 unswap-sqr_binary64 |
| 3× | rem-sqrt-square_binary64 |
| 1× | pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 sqrt-unprod_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 *-commutative_binary64 |
4 calls:
| 15.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))) |
| 4.0ms | (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) |
| 3.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 3.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
Compiled 1739 to 1328 computations (23.6% saved)
4 calls:
| 9.0ms | (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) |
| 8.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 8.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 7.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))) |
Compiled 369 to 318 computations (13.8% saved)
| 1× | egg-herbie |
| 518× | associate-*l/_binary64 |
| 418× | *-commutative_binary64 |
| 383× | associate-*r/_binary64 |
| 330× | associate-*l*_binary64 |
| 278× | log-div_binary64 |
| 260× | associate-/l*_binary64 |
| 232× | associate-+l+_binary64 |
| 226× | associate-*r*_binary64 |
| 203× | sqr-pow_binary64 |
| 184× | associate-/l/_binary64 |
| 155× | swap-sqr_binary64 |
| 132× | associate-/r/_binary64 |
| 123× | associate-+r+_binary64 |
| 111× | distribute-rgt-in_binary64 |
| 99× | distribute-lft-in_binary64 |
| 92× | log-prod_binary64 |
| 90× | associate-/r*_binary64 |
| 89× | unswap-sqr_binary64 |
| 86× | exp-prod_binary64 |
| 75× | pow-sqr_binary64 |
| 74× | cube-prod_binary64 |
| 36× | rem-sqrt-square_binary64 |
| 30× | times-frac_binary64 |
| 29× | pow-plus_binary64 |
| 22× | log-pow_binary64 |
| 20× | distribute-rgt-out_binary64 |
| 17× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 15× | unpow3_binary64 cube-div_binary64 distribute-lft-out_binary64 |
| 11× | cube-unmult_binary64 |
| 10× | cube-mult_binary64 count-2_binary64 |
| 9× | log-rec_binary64 |
| 7× | rem-square-sqrt_binary64 +-commutative_binary64 |
| 6× | unpow2_binary64 unpow1/2_binary64 |
| 5× | sub-neg_binary64 distribute-rgt1-in_binary64 |
| 4× | unpow1_binary64 unsub-neg_binary64 distribute-lft1-in_binary64 |
| 3× | neg-sub0_binary64 distribute-rgt-neg-in_binary64 |
| 2× | mul-1-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-neg-in_binary64 |
| 1× | exp-lft-sqr_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 neg-mul-1_binary64 sub0-neg_binary64 --rgt-identity_binary64 cancel-sign-sub-inv_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 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-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_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 | 71 | 1408 |
| 1 | 109 | 1306 |
| 2 | 311 | 1286 |
| 3 | 866 | 1203 |
| 4 | 1337 | 1173 |
| 5 | 1911 | 1173 |
| 6 | 4647 | 1173 |
| 7 | 4976 | 1173 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 3 | 107 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 106 | 6 | 112 |
Compiled 634 to 494 computations (22.1% saved)
Found 4 expressions with local error:
| 0.5b | (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3) |
| 19.1b | (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)) |
| 26.9b | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 26.9b | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 1× | rewrite-expression-head |
| 24× | pow1_binary64 |
| 22× | sqrt-prod_binary64 |
| 20× | cbrt-prod_binary64 |
| 14× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 sqrt-pow1_binary64 *-un-lft-identity_binary64 unpow-prod-down_binary64 cube-prod_binary64 |
| 9× | pow-prod-down_binary64 |
| 7× | pow-pow_binary64 |
| 5× | add-exp-log_binary64 add-cbrt-cube_binary64 |
| 4× | pow1/2_binary64 add-log-exp_binary64 |
| 3× | pow-unpow_binary64 |
| 2× | unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 |
| 1× | pow1/3_binary64 rem-cbrt-cube_binary64 pow-to-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 sqrt-pow2_binary64 |
4 calls:
| 6.0ms | (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3) |
| 4.0ms | (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)) |
| 3.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 3.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
Compiled 1697 to 1348 computations (20.6% saved)
4 calls:
| 14.0ms | (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3) |
| 10.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 10.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 8.0ms | (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)) |
Compiled 530 to 467 computations (11.9% saved)
| 1× | egg-herbie |
| 803× | associate-*l*_binary64 |
| 662× | associate-*r*_binary64 |
| 505× | log-prod_binary64 |
| 424× | unswap-sqr_binary64 |
| 326× | exp-prod_binary64 |
| 269× | cube-prod_binary64 |
| 149× | sqr-pow_binary64 |
| 120× | swap-sqr_binary64 |
| 95× | *-commutative_binary64 |
| 86× | associate-/l*_binary64 |
| 67× | associate-+l+_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 55× | log-pow_binary64 distribute-lft-in_binary64 |
| 45× | pow-sqr_binary64 |
| 44× | rem-sqrt-square_binary64 |
| 35× | pow-plus_binary64 |
| 29× | cube-unmult_binary64 |
| 25× | unpow3_binary64 |
| 16× | count-2_binary64 |
| 14× | cube-mult_binary64 |
| 13× | distribute-rgt-out_binary64 |
| 11× | associate-/l/_binary64 |
| 10× | associate-+r+_binary64 |
| 8× | rem-cbrt-cube_binary64 |
| 7× | rem-square-sqrt_binary64 distribute-lft-out_binary64 |
| 6× | associate-*r/_binary64 |
| 4× | *-rgt-identity_binary64 *-lft-identity_binary64 |
| 3× | neg-sub0_binary64 sub-neg_binary64 associate-*l/_binary64 |
| 2× | mul-1-neg_binary64 distribute-rgt-neg-in_binary64 associate-/r/_binary64 |
| 1× | unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 sqr-neg_binary64 times-frac_binary64 div-sub_binary64 unsub-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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1433 |
| 1 | 172 | 1408 |
| 2 | 478 | 1372 |
| 3 | 2893 | 1366 |
| 4 | 4914 | 1366 |
| 5 | 4879 | 1366 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 0 | 71 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 71 | 6 | 77 |
Compiled 601 to 474 computations (21.1% saved)
Found 4 expressions with local error:
| 0.6b | (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) |
| 26.9b | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 26.9b | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 26.9b | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 1× | rewrite-expression-head |
| 22× | pow1_binary64 |
| 9× | pow-prod-down_binary64 sqrt-pow1_binary64 |
| 5× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 4× | add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-prod_binary64 cbrt-prod_binary64 |
| 3× | pow1/2_binary64 |
| 1× | pow1/3_binary64 |
4 calls:
| 4.0ms | (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) |
| 4.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 3.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 3.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
Compiled 1217 to 927 computations (23.8% saved)
4 calls:
| 21.0ms | (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) |
| 11.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 10.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
| 10.0ms | (sqrt.f64 (*.f64 x (*.f64 x 2))) |
Compiled 792 to 652 computations (17.7% saved)
| 1× | egg-herbie |
| 680× | div-sub_binary64 |
| 488× | times-frac_binary64 |
| 439× | exp-sum_binary64 |
| 300× | associate-*l*_binary64 |
| 212× | exp-diff_binary64 |
| 205× | associate-*r*_binary64 |
| 197× | associate--r-_binary64 |
| 194× | distribute-rgt-in_binary64 |
| 171× | distribute-lft-in_binary64 |
| 162× | exp-prod_binary64 |
| 129× | log-prod_binary64 |
| 123× | associate-+r-_binary64 |
| 118× | *-commutative_binary64 |
| 111× | rec-exp_binary64 |
| 102× | prod-exp_binary64 |
| 86× | associate-+l-_binary64 |
| 78× | sub-neg_binary64 |
| 73× | log-div_binary64 |
| 72× | div-exp_binary64 |
| 68× | sqr-pow_binary64 |
| 63× | associate-+l+_binary64 |
| 58× | unsub-neg_binary64 unswap-sqr_binary64 |
| 51× | distribute-neg-in_binary64 associate--l+_binary64 |
| 39× | associate--l-_binary64 |
| 36× | associate--r+_binary64 +-commutative_binary64 |
| 35× | associate-+r+_binary64 |
| 34× | log-pow_binary64 |
| 30× | associate-*r/_binary64 |
| 29× | pow-plus_binary64 |
| 26× | cancel-sign-sub-inv_binary64 |
| 25× | pow-sqr_binary64 |
| 24× | exp-to-pow_binary64 |
| 22× | associate-/r*_binary64 associate-*l/_binary64 |
| 19× | neg-sub0_binary64 |
| 18× | associate-/l/_binary64 |
| 17× | neg-mul-1_binary64 |
| 15× | cube-unmult_binary64 associate-/l*_binary64 |
| 14× | unpow1/3_binary64 |
| 13× | associate-/r/_binary64 |
| 11× | unpow3_binary64 exp-neg_binary64 |
| 10× | distribute-rgt-neg-out_binary64 |
| 9× | distribute-rgt-neg-in_binary64 |
| 8× | sub0-neg_binary64 distribute-lft-neg-out_binary64 |
| 7× | log-rec_binary64 --rgt-identity_binary64 |
| 6× | rem-exp-log_binary64 rem-sqrt-square_binary64 |
| 5× | cube-prod_binary64 distribute-neg-frac_binary64 distribute-neg-out_binary64 |
| 4× | distribute-frac-neg_binary64 distribute-lft-neg-in_binary64 |
| 3× | *-rgt-identity_binary64 *-lft-identity_binary64 swap-sqr_binary64 count-2_binary64 |
| 2× | unpow2_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 |
| 1× | log-E_binary64 unpow1_binary64 unpow-1_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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 pow-base-1_binary64 unpow0_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_binary64 cube-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 /-rgt-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-lft-out--_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 629 |
| 1 | 85 | 611 |
| 2 | 163 | 604 |
| 3 | 386 | 590 |
| 4 | 974 | 549 |
| 5 | 2664 | 549 |
| 6 | 4315 | 547 |
| 7 | 4929 | 547 |
| 8 | 4831 | 547 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 0 | 24 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 24 | 6 | 30 |
Compiled 438 to 339 computations (22.6% saved)
Total 0.2b remaining (48.4%)
Threshold costs 0.2b (48.4%)
Compiled 3021 to 2503 computations (17.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | -5.152681537499351e-300 | 4.271833802488331e-307 | 3.34772934547096e-310 |
Compiled 1 to 1 computations (0% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 sub-neg_binary64 +-commutative_binary64 |
| 2× | neg-mul-1_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 |
| 1× | mul-1-neg_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 unsub-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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 25 |
| 1 | 20 | 25 |
| 2 | 28 | 25 |
| 3 | 33 | 25 |
| 4 | 38 | 25 |
| 5 | 40 | 25 |
| 6 | 40 | 25 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | intervals |
| 188.0ms | 8000× | body | 128 | valid |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 95 to 85 computations (10.5% saved)
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