Time bar (total: 3.4min)
| 1× | search |
| 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 |
| 40.6% | 59.3% | 0.1% | 6 |
| 53.1% | 45.3% | 1.7% | 7 |
| 62.4% | 32.8% | 4.8% | 8 |
| 69.5% | 22.6% | 7.9% | 9 |
| 74.5% | 16.4% | 9.1% | 10 |
| 78.2% | 11.1% | 10.6% | 11 |
| 80.9% | 8.2% | 10.9% | 12 |
| 82.8% | 5.5% | 11.7% | 13 |
| 84.1% | 4.1% | 11.8% | 14 |
Compiled 8 to 6 computations (25% saved)
| 1× | intervals |
| 11.0ms | 256× | body | 128 | valid |
| 0.0ms | 3× | body | 128 | invalid |
Compiled 15 to 13 computations (13.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (16.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 10 |
| 1 | 256 | 10 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 6× | add-log-exp_binary64_10688 |
| 2× | diff-log_binary64_10741 |
| 1× | sum-log_binary64_10740 pow1_binary64_10710 sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 associate--l+_binary64_10586 *-un-lft-identity_binary64_10649 flip3--_binary64_10653 add-sqr-sqrt_binary64_10671 flip--_binary64_10624 add-cube-cbrt_binary64_10684 |
2 calls:
| 8.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
1 calls:
| 79.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 110 to 88 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (63.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6203 | 308 |
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 15 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 0 | 0 |
| Done | 1 | 0 | 1 |
| Total | 12 | 15 | 27 |
Compiled 345 to 134 computations (61.2% saved)
Found 4 expressions with local error:
| 0.0b | (-.f64 y (*.f64 x y)) |
| 0.0b | (+.f64 x (-.f64 y (*.f64 x y))) |
| 0.0b | (+.f64 x (-.f64 y (*.f64 x y))) |
| 0.0b | (-.f64 y (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 9× | add-log-exp_binary64_10688 |
| 5× | *-un-lft-identity_binary64_10649 |
| 2× | sum-log_binary64_10740 pow1_binary64_10710 sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 add-sqr-sqrt_binary64_10671 add-cube-cbrt_binary64_10684 diff-log_binary64_10741 associate-+r+_binary64_10581 |
| 1× | distribute-rgt-out--_binary64_10603 +-commutative_binary64_10579 flip-+_binary64_10623 flip3--_binary64_10653 flip--_binary64_10624 flip3-+_binary64_10652 distribute-lft-out_binary64_10600 associate-+r-_binary64_10583 |
4 calls:
| 5.0ms | (+.f64 x (-.f64 y (*.f64 x y))) |
| 3.0ms | (-.f64 y (*.f64 x y)) |
| 0.0ms | (+.f64 x (-.f64 y (*.f64 x y))) |
| 0.0ms | (-.f64 y (*.f64 x y)) |
2 calls:
| 79.0ms | (+.f64 x (-.f64 y (*.f64 x y))) |
| 53.0ms | (-.f64 y (*.f64 x y)) |
Compiled 215 to 173 computations (19.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (57.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4979 | 512 |
| 1 | 4979 | 512 |
Found 2 expressions with local error:
| 0.0b | (-.f64 x (*.f64 x y)) |
| 0.0b | (-.f64 x (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 3× | add-log-exp_binary64_10688 |
| 1× | pow1_binary64_10710 sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 *-un-lft-identity_binary64_10649 flip3--_binary64_10653 add-sqr-sqrt_binary64_10671 flip--_binary64_10624 add-cube-cbrt_binary64_10684 diff-log_binary64_10741 |
2 calls:
| 3.0ms | (-.f64 x (*.f64 x y)) |
| 0.0ms | (-.f64 x (*.f64 x y)) |
1 calls:
| 55.0ms | (-.f64 x (*.f64 x y)) |
Compiled 75 to 70 computations (6.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (74.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5848 | 200 |
Found 2 expressions with local error:
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 6× | add-log-exp_binary64_10688 |
| 2× | diff-log_binary64_10741 |
| 1× | sum-log_binary64_10740 pow1_binary64_10710 sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 associate--l+_binary64_10586 *-un-lft-identity_binary64_10649 flip3--_binary64_10653 add-sqr-sqrt_binary64_10671 flip--_binary64_10624 add-cube-cbrt_binary64_10684 |
2 calls:
| 6.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
1 calls:
| 72.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 146 to 124 computations (15.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (62.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6203 | 308 |
Found 6 expressions with local error:
| 5.0b | (log.f64 (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y))) |
| 0.0b | (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y))) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 5.0b | (log.f64 (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 1× | rewrite-expression-head |
| 14× | add-log-exp_binary64_10688 |
| 6× | exp-prod_binary64_10701 *-un-lft-identity_binary64_10649 add-sqr-sqrt_binary64_10671 add-cube-cbrt_binary64_10684 log-prod_binary64_10735 exp-sum_binary64_10695 |
| 4× | log-pow_binary64_10738 pow1_binary64_10710 diff-log_binary64_10741 |
| 3× | rem-exp-log_binary64_10689 sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 associate--l+_binary64_10586 |
| 2× | exp-diff_binary64_10697 sum-log_binary64_10740 |
| 1× | flip3--_binary64_10653 rem-log-exp_binary64_10690 log-div_binary64_10736 flip--_binary64_10624 |
6 calls:
| 7.0ms | (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y))) |
| 6.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 6.0ms | (log.f64 (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 0.0ms | (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y))) |
| 0.0ms | (log.f64 (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
3 calls:
| 362.0ms | (log.f64 (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 77.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 67.0ms | (exp.f64 (-.f64 (+.f64 x y) (*.f64 x y))) |
Compiled 644 to 476 computations (26.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (68.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4945 | 1117 |
| 1 | 4945 | 1117 |
Found 6 expressions with local error:
| 0.3b | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.3b | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 1× | rewrite-expression-head |
| 25× | add-sqr-sqrt_binary64_10671 |
| 18× | pow1_binary64_10710 sqrt-prod_binary64_10665 |
| 13× | add-log-exp_binary64_10688 |
| 12× | sqrt-div_binary64_10666 |
| 11× | *-un-lft-identity_binary64_10649 add-cube-cbrt_binary64_10684 |
| 8× | sqrt-pow1_binary64_10667 pow1/2_binary64_10729 flip3--_binary64_10653 flip--_binary64_10624 swap-sqr_binary64_10616 |
| 6× | associate-*r*_binary64_10589 associate-*l*_binary64_10590 |
| 5× | pow-prod-up_binary64_10719 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 |
| 4× | unswap-sqr_binary64_10617 frac-times_binary64_10659 diff-log_binary64_10741 |
| 3× | pow-sqr_binary64_10622 pow-prod-down_binary64_10720 |
| 2× | associate-*l/_binary64_10592 sum-log_binary64_10740 sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 associate--l+_binary64_10586 rem-sqrt-square_binary64_10662 associate-*r/_binary64_10591 |
| 1× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 pow-plus_binary64_10712 sqr-abs_binary64_10664 *-commutative_binary64_10580 pow2_binary64_10730 rem-square-sqrt_binary64_10661 sqrt-unprod_binary64_10669 |
6 calls:
| 16.0ms | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 6.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 6.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
3 calls:
| 81.0ms | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 78.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 77.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 690 to 420 computations (39.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (96.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4920 | 1733 |
| 1 | 4920 | 1733 |
92 alts after pruning (90 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 86 | 300 |
| Fresh | 6 | 4 | 10 |
| Picked | 0 | 0 | 0 |
| Done | 3 | 2 | 5 |
| Total | 223 | 92 | 315 |
Compiled 4091 to 1397 computations (65.9% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (*.f64 y (-.f64 1 x))) |
| 0.0b | (*.f64 y (-.f64 1 x)) |
| 0.0b | (+.f64 x (*.f64 y (-.f64 1 x))) |
| 0.0b | (*.f64 y (-.f64 1 x)) |
| 1× | rewrite-expression-head |
| 13× | add-sqr-sqrt_binary64_10671 |
| 12× | cancel-sign-sub-inv_binary64_10615 |
| 11× | *-un-lft-identity_binary64_10649 |
| 8× | distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 add-cube-cbrt_binary64_10684 associate-+r+_binary64_10581 |
| 6× | associate-*r*_binary64_10589 |
| 4× | add-log-exp_binary64_10688 pow1_binary64_10710 sub-neg_binary64_10642 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 |
| 3× | associate-*l*_binary64_10590 |
| 2× | difference-of-squares_binary64_10618 associate-*r/_binary64_10591 |
| 1× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 sum-log_binary64_10740 pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 +-commutative_binary64_10579 *-commutative_binary64_10580 distribute-lft-out--_binary64_10601 flip-+_binary64_10623 flip3--_binary64_10653 flip--_binary64_10624 flip3-+_binary64_10652 |
4 calls:
| 8.0ms | (*.f64 y (-.f64 1 x)) |
| 4.0ms | (+.f64 x (*.f64 y (-.f64 1 x))) |
| 0.0ms | (*.f64 y (-.f64 1 x)) |
| 0.0ms | (+.f64 x (*.f64 y (-.f64 1 x))) |
2 calls:
| 69.0ms | (+.f64 x (*.f64 y (-.f64 1 x))) |
| 63.0ms | (*.f64 y (-.f64 1 x)) |
Compiled 211 to 169 computations (19.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (87.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4922 | 631 |
| 1 | 4922 | 631 |
| 1× | rewrite-expression-head |
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
Found 6 expressions with local error:
| 4.5b | (log.f64 (exp.f64 (-.f64 x (*.f64 x y)))) |
| 0.0b | (-.f64 x (*.f64 x y)) |
| 0.0b | (exp.f64 (-.f64 x (*.f64 x y))) |
| 0.0b | (exp.f64 (-.f64 x (*.f64 x y))) |
| 0.0b | (-.f64 x (*.f64 x y)) |
| 4.5b | (log.f64 (exp.f64 (-.f64 x (*.f64 x y)))) |
| 1× | rewrite-expression-head |
| 8× | add-log-exp_binary64_10688 |
| 6× | exp-prod_binary64_10701 *-un-lft-identity_binary64_10649 add-sqr-sqrt_binary64_10671 add-cube-cbrt_binary64_10684 |
| 5× | log-prod_binary64_10735 |
| 4× | log-pow_binary64_10738 pow1_binary64_10710 exp-sum_binary64_10695 |
| 3× | sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 |
| 2× | exp-diff_binary64_10697 rem-exp-log_binary64_10689 diff-log_binary64_10741 |
| 1× | flip3--_binary64_10653 rem-log-exp_binary64_10690 log-div_binary64_10736 flip--_binary64_10624 |
6 calls:
| 4.0ms | (log.f64 (exp.f64 (-.f64 x (*.f64 x y)))) |
| 4.0ms | (exp.f64 (-.f64 x (*.f64 x y))) |
| 3.0ms | (-.f64 x (*.f64 x y)) |
| 0.0ms | (exp.f64 (-.f64 x (*.f64 x y))) |
| 0.0ms | (-.f64 x (*.f64 x y)) |
3 calls:
| 264.0ms | (log.f64 (exp.f64 (-.f64 x (*.f64 x y)))) |
| 54.0ms | (-.f64 x (*.f64 x y)) |
| 43.0ms | (exp.f64 (-.f64 x (*.f64 x y))) |
Compiled 384 to 335 computations (12.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (60.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4926 | 685 |
| 1 | 4926 | 685 |
Found 8 expressions with local error:
| 0.0b | (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y))) |
| 0.0b | (pow.f64 (+.f64 x y) 3) |
| 0.0b | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 0.0b | (+.f64 (+.f64 x y) (*.f64 x y)) |
| 3.8b | (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y))))) |
| 4.6b | (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y)))) |
| 6.9b | (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) |
| 39.0b | (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y)))))) |
| 1× | rewrite-expression-head |
| 76× | associate-*r/_binary64_10591 |
| 74× | add-sqr-sqrt_binary64_10671 |
| 43× | flip-+_binary64_10623 flip3-+_binary64_10652 |
| 40× | difference-of-squares_binary64_10618 |
| 39× | times-frac_binary64_10655 |
| 34× | *-un-lft-identity_binary64_10649 |
| 32× | frac-add_binary64_10657 |
| 31× | sqr-pow_binary64_10621 |
| 24× | add-cube-cbrt_binary64_10684 |
| 18× | associate-/r/_binary64_10595 |
| 16× | frac-times_binary64_10659 |
| 13× | associate-/l*_binary64_10594 |
| 11× | add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 cube-prod_binary64_10677 unpow-prod-down_binary64_10728 |
| 9× | pow1_binary64_10710 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 |
| 8× | associate-*l/_binary64_10592 add-log-exp_binary64_10688 cancel-sign-sub-inv_binary64_10615 |
| 5× | difference-cubes_binary64_10651 distribute-lft-out--_binary64_10601 |
| 4× | associate-+r+_binary64_10581 |
| 3× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 associate-/r*_binary64_10593 pow-prod-down_binary64_10720 associate-*l*_binary64_10590 |
| 2× | associate-+l+_binary64_10582 flip3--_binary64_10653 flip--_binary64_10624 associate-/l/_binary64_10596 |
| 1× | sum-log_binary64_10740 unpow3_binary64_10715 clear-num_binary64_10648 sub-neg_binary64_10642 div-sub_binary64_10654 +-commutative_binary64_10579 div-exp_binary64_10700 *-commutative_binary64_10580 cbrt-undiv_binary64_10683 frac-2neg_binary64_10660 div-inv_binary64_10646 associate-*r*_binary64_10589 diff-log_binary64_10741 cube-mult_binary64_10679 |
8 calls:
| 32.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y)))))) |
| 17.0ms | (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) |
| 16.0ms | (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y))))) |
| 11.0ms | (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y)))) |
| 0.0ms | (+.f64 (+.f64 x y) (*.f64 x y)) |
4 calls:
| 772.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y)))))) |
| 377.0ms | (+.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y))))) |
| 153.0ms | (*.f64 x (*.f64 y (+.f64 (+.f64 x y) (*.f64 x y)))) |
| 152.0ms | (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) |
Compiled 3996 to 2822 computations (29.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (25.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5090 | 12481 |
Found 8 expressions with local error:
| 0.3b | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.3b | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 0.3b | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 1× | rewrite-expression-head |
| 90× | sqrt-div_binary64_10666 |
| 58× | pow1_binary64_10710 |
| 50× | sqrt-pow1_binary64_10667 |
| 38× | add-sqr-sqrt_binary64_10671 |
| 35× | flip3--_binary64_10653 flip--_binary64_10624 |
| 32× | frac-times_binary64_10659 |
| 31× | pow-prod-up_binary64_10719 |
| 29× | sqrt-prod_binary64_10665 |
| 28× | pow1/2_binary64_10729 |
| 16× | associate-*l/_binary64_10592 |
| 15× | *-un-lft-identity_binary64_10649 add-cube-cbrt_binary64_10684 |
| 14× | add-log-exp_binary64_10688 |
| 12× | associate-*r*_binary64_10589 |
| 10× | associate-*l*_binary64_10590 associate-*r/_binary64_10591 swap-sqr_binary64_10616 |
| 9× | pow-sqr_binary64_10622 |
| 8× | pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 |
| 7× | pow-plus_binary64_10712 |
| 4× | rem-sqrt-square_binary64_10662 diff-log_binary64_10741 |
| 3× | pow2_binary64_10730 |
| 2× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 sqr-abs_binary64_10664 sum-log_binary64_10740 sub-neg_binary64_10642 cancel-sign-sub-inv_binary64_10615 associate--l+_binary64_10586 *-commutative_binary64_10580 sqrt-unprod_binary64_10669 |
| 1× | rem-square-sqrt_binary64_10661 |
8 calls:
| 31.0ms | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 20.0ms | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 7.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 6.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
4 calls:
| 89.0ms | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 86.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 84.0ms | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 82.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 1340 to 658 computations (50.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (80.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4929 | 4452 |
| 1 | 4929 | 4452 |
286 alts after pruning (282 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 380 | 213 | 593 |
| Fresh | 16 | 69 | 85 |
| Picked | 0 | 0 | 0 |
| Done | 3 | 4 | 7 |
| Total | 399 | 286 | 685 |
Compiled 23233 to 7666 computations (67% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 x (pow.f64 (*.f64 y (-.f64 1 x)) 1)) |
| 0.0b | (*.f64 y (-.f64 1 x)) |
| 0.0b | (+.f64 x (pow.f64 (*.f64 y (-.f64 1 x)) 1)) |
| 0.0b | (*.f64 y (-.f64 1 x)) |
| 1× | rewrite-expression-head |
| 11× | *-un-lft-identity_binary64_10649 add-sqr-sqrt_binary64_10671 |
| 6× | cancel-sign-sub-inv_binary64_10615 add-cube-cbrt_binary64_10684 associate-*r*_binary64_10589 |
| 4× | add-log-exp_binary64_10688 pow1_binary64_10710 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 |
| 3× | associate-*l*_binary64_10590 |
| 2× | difference-of-squares_binary64_10618 sub-neg_binary64_10642 associate-*r/_binary64_10591 |
| 1× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 sum-log_binary64_10740 pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 +-commutative_binary64_10579 *-commutative_binary64_10580 distribute-lft-out--_binary64_10601 flip-+_binary64_10623 flip3--_binary64_10653 flip--_binary64_10624 flip3-+_binary64_10652 distribute-lft-out_binary64_10600 |
4 calls:
| 8.0ms | (*.f64 y (-.f64 1 x)) |
| 4.0ms | (+.f64 x (pow.f64 (*.f64 y (-.f64 1 x)) 1)) |
| 0.0ms | (*.f64 y (-.f64 1 x)) |
| 0.0ms | (+.f64 x (pow.f64 (*.f64 y (-.f64 1 x)) 1)) |
2 calls:
| 72.0ms | (+.f64 x (pow.f64 (*.f64 y (-.f64 1 x)) 1)) |
| 68.0ms | (*.f64 y (-.f64 1 x)) |
Compiled 241 to 199 computations (17.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (69.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4953 | 603 |
| 1 | 4953 | 603 |
| 1× | rewrite-expression-head |
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
Found 8 expressions with local error:
| 6.9b | (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) |
| 0.3b | (pow.f64 (*.f64 x y) 3) |
| 0.0b | (pow.f64 (+.f64 x y) 3) |
| 0.0b | (+.f64 y (+.f64 1 (*.f64 y y))) |
| 0.3b | (pow.f64 (*.f64 x y) 3) |
| 6.9b | (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) |
| 8.5b | (*.f64 (*.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y)))) |
| 33.5b | (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (*.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y))))) |
| 1× | rewrite-expression-head |
| 40× | add-sqr-sqrt_binary64_10671 |
| 24× | difference-of-squares_binary64_10618 |
| 21× | add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 |
| 20× | sqr-pow_binary64_10621 |
| 17× | *-un-lft-identity_binary64_10649 |
| 13× | associate-/l*_binary64_10594 times-frac_binary64_10655 |
| 12× | pow1_binary64_10710 |
| 9× | add-cube-cbrt_binary64_10684 |
| 8× | cancel-sign-sub-inv_binary64_10615 cube-prod_binary64_10677 unpow-prod-down_binary64_10728 |
| 7× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 |
| 6× | add-log-exp_binary64_10688 |
| 4× | pow-prod-down_binary64_10720 associate-*r*_binary64_10589 associate-*r/_binary64_10591 |
| 3× | difference-cubes_binary64_10651 div-exp_binary64_10700 cbrt-undiv_binary64_10683 pow-unpow_binary64_10726 distribute-lft-out--_binary64_10601 |
| 2× | unpow3_binary64_10715 rem-cube-cbrt_binary64_10672 associate-/r/_binary64_10595 pow-pow_binary64_10721 pow-exp_binary64_10717 flip-+_binary64_10623 flip3--_binary64_10653 flip--_binary64_10624 flip3-+_binary64_10652 associate-/l/_binary64_10596 cube-mult_binary64_10679 |
| 1× | associate-/r*_binary64_10593 clear-num_binary64_10648 sub-neg_binary64_10642 unswap-sqr_binary64_10617 div-sub_binary64_10654 *-commutative_binary64_10580 distribute-rgt-in_binary64_10599 frac-2neg_binary64_10660 distribute-lft-in_binary64_10598 div-inv_binary64_10646 pow-to-exp_binary64_10718 distribute-lft-out_binary64_10600 associate-*l*_binary64_10590 diff-log_binary64_10741 |
8 calls:
| 26.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (*.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y))))) |
| 15.0ms | (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) |
| 10.0ms | (*.f64 (*.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y)))) |
| 8.0ms | (pow.f64 (*.f64 x y) 3) |
| 0.0ms | (+.f64 y (+.f64 1 (*.f64 y y))) |
4 calls:
| 243.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (*.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y))))) |
| 165.0ms | (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) |
| 144.0ms | (*.f64 (*.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y)))) |
| 84.0ms | (pow.f64 (*.f64 x y) 3) |
Compiled 2281 to 1734 computations (24% saved)
| 1× | egg-herbie |
Useful iterations: 0 (103.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5100 | 4920 |
Found 8 expressions with local error:
| 0.0b | (-.f64 y (*.f64 x y)) |
| 0.0b | (sqrt.f64 (-.f64 y (*.f64 x y))) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y))))) |
| 0.2b | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y))))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 0.2b | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y)))) |
| 1× | rewrite-expression-head |
| 110× | sqrt-div_binary64_10666 |
| 40× | flip3--_binary64_10653 flip--_binary64_10624 |
| 36× | frac-times_binary64_10659 |
| 23× | add-sqr-sqrt_binary64_10671 |
| 20× | pow1_binary64_10710 |
| 18× | associate-*l/_binary64_10592 |
| 17× | sqrt-prod_binary64_10665 |
| 13× | associate-*r*_binary64_10589 |
| 12× | sqrt-pow1_binary64_10667 *-un-lft-identity_binary64_10649 associate-*r/_binary64_10591 |
| 11× | pow-prod-down_binary64_10720 add-cube-cbrt_binary64_10684 |
| 10× | associate-*l*_binary64_10590 |
| 9× | add-log-exp_binary64_10688 |
| 8× | add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 |
| 7× | pow1/2_binary64_10729 |
| 6× | unswap-sqr_binary64_10617 |
| 2× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 *-commutative_binary64_10580 sqrt-unprod_binary64_10669 diff-log_binary64_10741 |
| 1× | sum-log_binary64_10740 sub-neg_binary64_10642 distribute-rgt-out--_binary64_10603 cancel-sign-sub-inv_binary64_10615 associate--l+_binary64_10586 |
8 calls:
| 23.0ms | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y))))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 16.0ms | (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y))))) |
| 15.0ms | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y)))) |
| 7.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
4 calls:
| 2.0s | (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y))))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) |
| 448.0ms | (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y))))) |
| 332.0ms | (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 y (*.f64 x y)))) |
| 91.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 8694 to 7009 computations (19.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (40.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5018 | 9801 |
Found 8 expressions with local error:
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (+.f64 (+.f64 x y) (*.f64 x y)) |
| 0.0b | (sqrt.f64 (+.f64 (+.f64 x y) (*.f64 x y))) |
| 5.0b | (/.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 x y) (*.f64 x y))))) |
| 6.5b | (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) |
| 9.6b | (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))) |
| 22.3b | (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) |
| 1× | rewrite-expression-head |
| 104× | sqrt-div_binary64_10666 |
| 35× | flip3--_binary64_10653 flip--_binary64_10624 |
| 32× | frac-times_binary64_10659 |
| 26× | associate-/l/_binary64_10596 |
| 23× | sqrt-prod_binary64_10665 |
| 16× | associate-*r/_binary64_10591 |
| 12× | add-sqr-sqrt_binary64_10671 |
| 11× | *-un-lft-identity_binary64_10649 add-cube-cbrt_binary64_10684 |
| 10× | associate-*l/_binary64_10592 pow1_binary64_10710 |
| 9× | associate-/r*_binary64_10593 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 times-frac_binary64_10655 |
| 7× | sqrt-pow1_binary64_10667 |
| 6× | add-log-exp_binary64_10688 |
| 4× | pow1/2_binary64_10729 |
| 3× | pow-prod-down_binary64_10720 |
| 2× | difference-of-squares_binary64_10618 associate-/r/_binary64_10595 div-exp_binary64_10700 associate--l+_binary64_10586 cbrt-undiv_binary64_10683 |
| 1× | prod-exp_binary64_10698 cbrt-unprod_binary64_10682 sqrt-undiv_binary64_10670 clear-num_binary64_10648 sub-neg_binary64_10642 associate-/l*_binary64_10594 cancel-sign-sub-inv_binary64_10615 distribute-rgt-in_binary64_10599 frac-2neg_binary64_10660 distribute-lft-in_binary64_10598 flip-+_binary64_10623 div-inv_binary64_10646 flip3-+_binary64_10652 rem-sqrt-square_binary64_10662 sqrt-unprod_binary64_10669 diff-log_binary64_10741 |
8 calls:
| 47.0ms | (/.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 x y) (*.f64 x y))))) |
| 21.0ms | (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))) |
| 12.0ms | (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) |
| 12.0ms | (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) |
| 0.0ms | (sqrt.f64 (+.f64 (+.f64 x y) (*.f64 x y))) |
4 calls:
| 1.2min | (/.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 x y) (*.f64 x y))))) |
| 1.1s | (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))) |
| 283.0ms | (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) |
| 119.0ms | (sqrt.f64 (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) |
Compiled 46997 to 38924 computations (17.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (41.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5222 | 44667 |
594 alts after pruning (587 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 279 | 323 | 602 |
| Fresh | 13 | 264 | 277 |
| Picked | 0 | 0 | 0 |
| Done | 2 | 7 | 9 |
| Total | 294 | 594 | 888 |
Compiled 43838 to 23491 computations (46.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (42.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5976 | 88110 |
Compiled 163304 to 96469 computations (40.9% saved)
Compiled 120 to 132 computations (-10% saved)
Compiled 58 to 74 computations (-27.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 0.09582668147813252 | 3.268946677870827 | 0.9902767981226298 |
| 10 | -1.1569509840180279e+21 | -583136590.1913133 | -593851404.9764618 |
Compiled 1 to 2 computations (-100% saved)
Compiled 28 to 48 computations (-71.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 2.0822606743933182e+66 | 1.0780099654922019e+67 | 2.113375967930279e+66 |
| 8 | 3.268946677870827 | 1789.244117588337 | 1771.0184468490431 |
| 8 | -1.3055583814112207e+63 | -4.224391814205669e+58 | -9.418554090792549e+61 |
| 2 | -4.875228123034846e+186 | -4.21828461320786e+186 | -4.2676434465687404e+186 |
Compiled 1 to 2 computations (-100% saved)
Compiled 20 to 40 computations (-100% saved)
Total 0.0b remaining (100%)
Threshold costs 0.0b (100%)
Compiled 14 to 34 computations (-142.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 3.927026218737797e-69 | 3.011701016625198e-60 | 6.405195131067386e-62 |
| 9 | -4.064726354951099e-44 | -1.2397308971073883e-49 | -1.9332129628652103e-48 |
Compiled 80 to 54 computations (32.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 107 |
| 1 | 76 | 107 |
| 1× | intervals |
| 175.0ms | 7999× | body | 128 | valid |
| 2.0ms | 81× | body | 128 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
Compiled 54218 to 32118 computations (40.8% saved)
0.360150339742176
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