Time bar (total: 1.8s)
| 1× | search |
| 2× | egg-herbie |
| 4× | +-commutative_binary64 |
| 2× | count-2_binary64 associate-+l+_binary64 associate-+r+_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 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 associate-/l/_binary64 associate-/r/_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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 17 | 20 |
| 2 | 22 | 20 |
| 3 | 24 | 20 |
| 4 | 24 | 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 |
| 25% | 56.2% | 18.8% | 6 |
| 37.5% | 40.6% | 22% | 7 |
| 46.8% | 29.7% | 23.5% | 8 |
| 54.6% | 21.1% | 24.3% | 9 |
| 60.1% | 15.2% | 24.7% | 10 |
| 64.4% | 10.7% | 24.9% | 11 |
| 67.3% | 7.7% | 25% | 12 |
| 69.6% | 5.4% | 25% | 13 |
| 71.1% | 3.9% | 25% | 14 |
Compiled 8 to 6 computations (25% saved)
| 1× | intervals |
| 5.0ms | 256× | body | 128 | valid |
Compiled 15 to 13 computations (13.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | count-2_binary64 associate-+l+_binary64 associate-+r+_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 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 associate-/l/_binary64 associate-/r/_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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 13 | 10 |
| 3 | 14 | 10 |
| 4 | 14 | 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 10 computations (28.6% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 (*.f64 x x) y) |
| 0.0b | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 1× | rewrite-expression-head |
| 9× | add-log-exp_binary64 |
| 4× | sum-log_binary64 *-un-lft-identity_binary64 |
| 2× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64 |
| 1× | distribute-lft-out_binary64 associate-+l+_binary64 |
2 calls:
| 6.0ms | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 4.0ms | (+.f64 (*.f64 x x) y) |
Compiled 354 to 86 computations (75.7% saved)
2 calls:
| 21.0ms | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 17.0ms | (+.f64 (*.f64 x x) y) |
Compiled 252 to 232 computations (7.9% saved)
| 1× | egg-herbie |
| 569× | unswap-sqr_binary64 |
| 481× | associate-*l*_binary64 |
| 470× | sub-neg_binary64 |
| 318× | associate-*r*_binary64 |
| 260× | times-frac_binary64 |
| 181× | distribute-rgt-in_binary64 |
| 170× | associate-+l-_binary64 |
| 158× | +-commutative_binary64 |
| 156× | distribute-lft-in_binary64 |
| 145× | associate-+r-_binary64 |
| 144× | associate--r+_binary64 |
| 129× | distribute-neg-in_binary64 |
| 122× | exp-sum_binary64 cancel-sign-sub-inv_binary64 |
| 110× | associate--l+_binary64 |
| 101× | exp-prod_binary64 unsub-neg_binary64 |
| 96× | distribute-rgt-out_binary64 |
| 89× | exp-diff_binary64 |
| 88× | *-commutative_binary64 |
| 80× | distribute-rgt-neg-out_binary64 |
| 78× | associate-+l+_binary64 |
| 69× | cube-prod_binary64 |
| 62× | associate-+r+_binary64 |
| 57× | cancel-sign-sub_binary64 |
| 50× | sqr-pow_binary64 |
| 48× | sub0-neg_binary64 |
| 45× | neg-mul-1_binary64 |
| 40× | neg-sub0_binary64 |
| 35× | distribute-lft-out_binary64 |
| 34× | distribute-rgt-neg-in_binary64 |
| 31× | distribute-lft-neg-in_binary64 |
| 27× | pow-plus_binary64 associate--r-_binary64 |
| 25× | +-rgt-identity_binary64 |
| 24× | cube-unmult_binary64 associate--l-_binary64 |
| 23× | unpow3_binary64 |
| 18× | distribute-rgt-out--_binary64 |
| 13× | sqr-neg_binary64 distribute-neg-out_binary64 |
| 12× | pow-sqr_binary64 swap-sqr_binary64 |
| 10× | cube-mult_binary64 distribute-lft-neg-out_binary64 |
| 9× | difference-of-squares_binary64 |
| 8× | +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 |
| 7× | cube-neg_binary64 |
| 6× | remove-double-neg_binary64 |
| 5× | +-inverses_binary64 |
| 4× | --rgt-identity_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64 |
| 3× | prod-exp_binary64 distribute-lft1-in_binary64 |
| 2× | unpow1/2_binary64 unpow1_binary64 *-lft-identity_binary64 count-2_binary64 associate-/l/_binary64 associate-/l*_binary64 associate-*r/_binary64 |
| 1× | unpow2_binary64 exp-neg_binary64 1-exp_binary64 rem-sqrt-square_binary64 mul-1-neg_binary64 associate-/r/_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 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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 div-sub_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 div0_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 514 |
| 1 | 142 | 471 |
| 2 | 343 | 457 |
| 3 | 1068 | 457 |
| 4 | 2859 | 457 |
| 5 | 4571 | 457 |
| 6 | 5173 | 457 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 3 | 39 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 37 | 3 | 40 |
Compiled 278 to 90 computations (67.6% saved)
Found 1 expressions with local error:
| 0.0b | (+.f64 (+.f64 y y) (*.f64 x x)) |
| 1× | rewrite-expression-head |
| 6× | add-log-exp_binary64 |
| 3× | sum-log_binary64 |
| 1× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 associate-+l+_binary64 +-commutative_binary64 |
1 calls:
| 7.0ms | (+.f64 (+.f64 y y) (*.f64 x x)) |
Compiled 196 to 46 computations (76.5% saved)
1 calls:
| 24.0ms | (+.f64 (+.f64 y y) (*.f64 x x)) |
Compiled 122 to 124 computations (-1.6% saved)
| 1× | egg-herbie |
| 721× | distribute-rgt-in_binary64 |
| 667× | distribute-lft-in_binary64 |
| 459× | associate-+l+_binary64 |
| 414× | associate-+r+_binary64 |
| 272× | unswap-sqr_binary64 |
| 172× | cancel-sign-sub-inv_binary64 |
| 145× | unsub-neg_binary64 |
| 140× | sub-neg_binary64 |
| 135× | distribute-rgt-out_binary64 |
| 132× | associate-*l*_binary64 |
| 121× | associate-*r*_binary64 |
| 71× | distribute-rgt-neg-in_binary64 |
| 61× | distribute-lft-neg-in_binary64 |
| 53× | distribute-lft-out_binary64 |
| 52× | *-commutative_binary64 |
| 51× | sqr-pow_binary64 |
| 49× | neg-mul-1_binary64 |
| 47× | neg-sub0_binary64 |
| 37× | associate-+l-_binary64 |
| 34× | associate--r+_binary64 |
| 30× | associate-+r-_binary64 |
| 23× | distribute-lft-neg-out_binary64 associate--l+_binary64 |
| 22× | distribute-neg-in_binary64 |
| 21× | distribute-rgt-out--_binary64 +-commutative_binary64 |
| 20× | count-2_binary64 |
| 17× | sub0-neg_binary64 +-rgt-identity_binary64 |
| 16× | exp-prod_binary64 |
| 13× | mul0-rgt_binary64 mul0-lft_binary64 pow-sqr_binary64 |
| 11× | cube-unmult_binary64 cube-prod_binary64 distribute-rgt-neg-out_binary64 |
| 10× | difference-of-squares_binary64 |
| 9× | unpow3_binary64 |
| 8× | pow-plus_binary64 distribute-lft-out--_binary64 |
| 4× | exp-sum_binary64 |
| 3× | prod-exp_binary64 cube-mult_binary64 |
| 2× | unpow1/2_binary64 unpow1_binary64 +-lft-identity_binary64 swap-sqr_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-/l*_binary64 associate-*r/_binary64 associate--r-_binary64 |
| 1× | unpow2_binary64 1-exp_binary64 rem-sqrt-square_binary64 times-frac_binary64 remove-double-neg_binary64 associate-/r/_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 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 exp-diff_binary64 exp-neg_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 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 --rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate-*l/_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 311 |
| 1 | 105 | 275 |
| 2 | 332 | 272 |
| 3 | 1094 | 272 |
| 4 | 4557 | 272 |
| 5 | 5120 | 272 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 0 | 22 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 22 | 3 | 25 |
Compiled 160 to 52 computations (67.5% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 (+.f64 y y) (*.f64 x x)) |
| 0.0b | (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) |
| 0.0b | (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) |
| 0.2b | (*.f64 (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x)))) |
| 1× | rewrite-expression-head |
| 30× | add-sqr-sqrt_binary64 |
| 24× | sqrt-prod_binary64 |
| 21× | pow1_binary64 |
| 16× | sqrt-div_binary64 |
| 14× | add-cube-cbrt_binary64 *-un-lft-identity_binary64 |
| 10× | pow1/2_binary64 sqrt-pow1_binary64 |
| 9× | add-log-exp_binary64 flip3-+_binary64 flip-+_binary64 |
| 8× | swap-sqr_binary64 |
| 6× | add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 associate-*r*_binary64 |
| 5× | pow-prod-up_binary64 |
| 4× | rem-sqrt-square_binary64 frac-times_binary64 unswap-sqr_binary64 |
| 3× | pow-prod-down_binary64 pow-sqr_binary64 sum-log_binary64 |
| 2× | associate-*l/_binary64 associate-*r/_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 associate-+l+_binary64 +-commutative_binary64 |
4 calls:
| 20.0ms | (*.f64 (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x)))) |
| 7.0ms | (+.f64 (+.f64 y y) (*.f64 x x)) |
| 6.0ms | (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) |
| 6.0ms | (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) |
Compiled 2427 to 323 computations (86.7% saved)
4 calls:
| 30.0ms | (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) |
| 28.0ms | (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) |
| 27.0ms | (+.f64 (+.f64 y y) (*.f64 x x)) |
| 22.0ms | (*.f64 (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x))) (sqrt.f64 (+.f64 (+.f64 y y) (*.f64 x x)))) |
Compiled 1692 to 1130 computations (33.2% saved)
| 1× | egg-herbie |
| 530× | associate-*l*_binary64 |
| 508× | cancel-sign-sub-inv_binary64 |
| 486× | unswap-sqr_binary64 |
| 454× | associate-*r*_binary64 |
| 258× | distribute-rgt-in_binary64 |
| 237× | distribute-lft-in_binary64 |
| 135× | *-commutative_binary64 |
| 113× | exp-prod_binary64 |
| 110× | sub-neg_binary64 |
| 76× | log-prod_binary64 |
| 72× | sqr-pow_binary64 |
| 69× | associate-+l+_binary64 |
| 66× | cube-prod_binary64 associate-/l*_binary64 |
| 61× | times-frac_binary64 |
| 54× | swap-sqr_binary64 |
| 48× | neg-sub0_binary64 associate-/r*_binary64 |
| 47× | associate-+r+_binary64 |
| 46× | neg-mul-1_binary64 +-commutative_binary64 |
| 42× | unpow3_binary64 |
| 40× | pow-plus_binary64 |
| 39× | distribute-rgt-neg-in_binary64 |
| 34× | distribute-lft-neg-in_binary64 |
| 33× | associate-*l/_binary64 |
| 29× | unsub-neg_binary64 associate-*r/_binary64 |
| 24× | rem-sqrt-square_binary64 associate-+l-_binary64 |
| 23× | cube-unmult_binary64 associate--r+_binary64 |
| 22× | *-rgt-identity_binary64 *-lft-identity_binary64 difference-of-squares_binary64 |
| 21× | associate--l+_binary64 associate-+r-_binary64 |
| 20× | div-sub_binary64 |
| 19× | distribute-rgt-out_binary64 |
| 18× | +-rgt-identity_binary64 |
| 17× | pow-sqr_binary64 |
| 15× | log-pow_binary64 |
| 14× | distribute-neg-frac_binary64 distribute-neg-in_binary64 |
| 13× | exp-sum_binary64 |
| 11× | sub0-neg_binary64 count-2_binary64 |
| 10× | cube-mult_binary64 |
| 8× | rem-square-sqrt_binary64 |
| 7× | distribute-rgt-out--_binary64 associate-/r/_binary64 |
| 6× | distribute-lft-neg-out_binary64 |
| 5× | unpow2_binary64 unpow1/2_binary64 |
| 4× | distribute-lft-out_binary64 |
| 3× | unpow1_binary64 prod-exp_binary64 |
| 2× | distribute-lft-out--_binary64 associate--l-_binary64 |
| 1× | 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-neg_binary64 mul-1-neg_binary64 distribute-rgt-neg-out_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_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-cube-cbrt_binary64 sqr-abs_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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate--r-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 2600 |
| 1 | 257 | 2385 |
| 2 | 805 | 2323 |
| 3 | 3144 | 2260 |
| 4 | 4774 | 2260 |
| 5 | 4952 | 2260 |
| 6 | 4942 | 2260 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 0 | 130 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 130 | 3 | 133 |
Compiled 1592 to 392 computations (75.4% saved)
Found 3 expressions with local error:
| 0.0b | (+.f64 (+.f64 y y) (*.f64 x x)) |
| 0.1b | (pow.f64 (+.f64 (+.f64 y y) (*.f64 x x)) 3) |
| 38.0b | (cbrt.f64 (pow.f64 (+.f64 (+.f64 y y) (*.f64 x x)) 3)) |
| 1× | rewrite-expression-head |
| 12× | cbrt-prod_binary64 |
| 9× | add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 |
| 8× | add-log-exp_binary64 |
| 6× | unpow-prod-down_binary64 cube-prod_binary64 |
| 4× | pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64 |
| 3× | flip3-+_binary64 flip-+_binary64 pow-unpow_binary64 sum-log_binary64 |
| 2× | cbrt-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 |
| 1× | pow1/3_binary64 rem-cbrt-cube_binary64 pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 associate-+l+_binary64 +-commutative_binary64 |
3 calls:
| 9.0ms | (pow.f64 (+.f64 (+.f64 y y) (*.f64 x x)) 3) |
| 8.0ms | (cbrt.f64 (pow.f64 (+.f64 (+.f64 y y) (*.f64 x x)) 3)) |
| 7.0ms | (+.f64 (+.f64 y y) (*.f64 x x)) |
Compiled 1040 to 339 computations (67.4% saved)
3 calls:
| 39.0ms | (pow.f64 (+.f64 (+.f64 y y) (*.f64 x x)) 3) |
| 25.0ms | (+.f64 (+.f64 y y) (*.f64 x x)) |
| 24.0ms | (cbrt.f64 (pow.f64 (+.f64 (+.f64 y y) (*.f64 x x)) 3)) |
Compiled 870 to 800 computations (8% saved)
| 1× | egg-herbie |
| 487× | distribute-rgt-in_binary64 |
| 465× | distribute-lft-in_binary64 |
| 413× | unswap-sqr_binary64 |
| 282× | exp-prod_binary64 |
| 255× | *-commutative_binary64 |
| 222× | exp-sum_binary64 |
| 204× | log-prod_binary64 |
| 198× | sqr-pow_binary64 |
| 127× | swap-sqr_binary64 |
| 125× | cube-prod_binary64 |
| 84× | associate-+l+_binary64 |
| 78× | associate-*l*_binary64 |
| 77× | associate-*r*_binary64 |
| 70× | associate-+r+_binary64 |
| 49× | pow-sqr_binary64 |
| 48× | distribute-rgt-out_binary64 |
| 46× | sub-neg_binary64 |
| 43× | cancel-sign-sub-inv_binary64 |
| 40× | log-pow_binary64 |
| 34× | unpow3_binary64 +-commutative_binary64 |
| 29× | neg-mul-1_binary64 neg-sub0_binary64 |
| 28× | distribute-lft-out_binary64 |
| 26× | unsub-neg_binary64 |
| 24× | pow-plus_binary64 |
| 23× | cube-mult_binary64 distribute-rgt-neg-in_binary64 |
| 21× | difference-of-squares_binary64 |
| 18× | distribute-lft-neg-in_binary64 |
| 16× | cube-unmult_binary64 |
| 15× | rem-sqrt-square_binary64 |
| 12× | count-2_binary64 |
| 10× | distribute-lft-neg-out_binary64 |
| 9× | associate-+r-_binary64 |
| 8× | rem-cbrt-cube_binary64 associate--r+_binary64 |
| 7× | +-rgt-identity_binary64 associate--l+_binary64 associate-+l-_binary64 |
| 6× | distribute-rgt-out--_binary64 |
| 5× | distribute-rgt-neg-out_binary64 |
| 4× | unpow1_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 |
| 3× | unpow1/2_binary64 exp-lft-sqr_binary64 prod-exp_binary64 sub0-neg_binary64 distribute-neg-in_binary64 associate-/l/_binary64 associate-*r/_binary64 |
| 2× | unpow2_binary64 sqr-neg_binary64 distribute-lft-out--_binary64 associate-/l*_binary64 |
| 1× | 1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64 associate-/r/_binary64 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 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-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_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-abs_binary64 times-frac_binary64 div-sub_binary64 mul-1-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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1935 |
| 1 | 251 | 1797 |
| 2 | 861 | 1731 |
| 3 | 3327 | 1731 |
| 4 | 4924 | 1731 |
| 5 | 4926 | 1731 |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 0 | 93 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 93 | 3 | 96 |
Compiled 652 to 263 computations (59.7% saved)
Total 0.0b remaining (34.4%)
Threshold costs 0.0b (34.4%)
Compiled 1355 to 923 computations (31.9% 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 | 10 |
| 1 | 7 | 10 |
| 2 | 7 | 10 |
Compiled 7 to 5 computations (28.6% saved)
| 1× | intervals |
| 168.0ms | 8000× | body | 128 | valid |
| 0.0ms | 6× | body | 128 | invalid |
Compiled 59 to 47 computations (20.3% saved)
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