Time bar (total: 7.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 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% | 14 |
Compiled 14 to 11 computations (21.4% saved)
| 1× | intervals |
| 8.0ms | 65× | body | 1024 | valid |
| 5.0ms | 148× | body | 128 | valid |
| 4.0ms | 12× | body | 256 | valid |
| 2.0ms | 27× | body | 512 | valid |
| 1.0ms | 4× | body | 2048 | valid |
Compiled 27 to 22 computations (18.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (74.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 681 | 19 |
| 1 | 681 | 19 |
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 26 to 20 computations (23.1% saved)
Found 6 expressions with local error:
| 2.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 2.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1× | rewrite-expression-head |
| 148× | *-un-lft-identity_binary64_3488 |
| 88× | times-frac_binary64_3494 |
| 85× | add-sqr-sqrt_binary64_3510 |
| 37× | add-cube-cbrt_binary64_3523 |
| 34× | cancel-sign-sub-inv_binary64_3454 |
| 27× | distribute-lft-out_binary64_3439 |
| 22× | difference-of-squares_binary64_3457 distribute-lft-out--_binary64_3440 |
| 11× | associate-/r*_binary64_3432 |
| 9× | difference-of-sqr-1_binary64_3458 |
| 7× | add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 associate-/l*_binary64_3433 |
| 6× | associate-/r/_binary64_3434 |
| 5× | add-log-exp_binary64_3527 |
| 3× | flip3--_binary64_3492 flip--_binary64_3463 pow1_binary64_3549 div-inv_binary64_3485 |
| 2× | clear-num_binary64_3487 associate-/l/_binary64_3435 flip-+_binary64_3462 flip3-+_binary64_3491 frac-2neg_binary64_3499 div-exp_binary64_3539 cbrt-undiv_binary64_3522 |
| 1× | diff-log_binary64_3580 frac-sub_binary64_3497 sub-neg_binary64_3481 |
6 calls:
| 45.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 8.0ms | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 5.0ms | (/.f64 x (+.f64 x 1)) |
| 0.0ms | (/.f64 x (+.f64 x 1)) |
| 0.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
3 calls:
| 64.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 32.0ms | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 28.0ms | (/.f64 x (+.f64 x 1)) |
Compiled 524 to 451 computations (13.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (48.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5572 | 3013 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 7 | 179 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 173 | 7 | 180 |
Compiled 3446 to 2436 computations (29.3% saved)
Found 8 expressions with local error:
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 0.0b | (/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 0.0b | (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 0.0b | (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 2.4b | (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 1× | rewrite-expression-head |
| 636× | *-un-lft-identity_binary64_3488 |
| 384× | times-frac_binary64_3494 |
| 246× | add-sqr-sqrt_binary64_3510 |
| 161× | distribute-lft-out_binary64_3439 |
| 118× | add-cube-cbrt_binary64_3523 |
| 96× | swap-sqr_binary64_3455 |
| 66× | difference-of-squares_binary64_3457 |
| 52× | distribute-lft-out--_binary64_3440 associate-*l*_binary64_3429 associate-*r*_binary64_3428 |
| 32× | difference-of-sqr-1_binary64_3458 |
| 30× | add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 |
| 19× | associate-/r/_binary64_3434 |
| 18× | frac-sub_binary64_3497 pow1_binary64_3549 |
| 14× | associate-*l/_binary64_3431 frac-times_binary64_3498 associate-*r/_binary64_3430 |
| 12× | associate-/r*_binary64_3432 |
| 11× | associate-/l/_binary64_3435 |
| 9× | div-exp_binary64_3539 cbrt-undiv_binary64_3522 div-inv_binary64_3485 |
| 8× | unswap-sqr_binary64_3456 cbrt-unprod_binary64_3521 prod-exp_binary64_3537 |
| 6× | flip3--_binary64_3492 add-log-exp_binary64_3527 flip--_binary64_3463 |
| 5× | flip-+_binary64_3462 flip3-+_binary64_3491 |
| 4× | associate-/l*_binary64_3433 |
| 2× | pow-prod-up_binary64_3558 pow2_binary64_3569 pow-prod-down_binary64_3559 pow-plus_binary64_3551 *-commutative_binary64_3419 pow-sqr_binary64_3461 |
| 1× | clear-num_binary64_3487 frac-add_binary64_3496 diff-log_binary64_3580 cancel-sign-sub-inv_binary64_3454 frac-2neg_binary64_3499 div-sub_binary64_3493 sub-neg_binary64_3481 |
8 calls:
| 60.0ms | (/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 42.0ms | (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 19.0ms | (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) |
| 14.0ms | (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 0.0ms | (/.f64 x (+.f64 x 1)) |
4 calls:
| 121.0ms | (/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 86.0ms | (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 50.0ms | (*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 41.0ms | (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) |
Compiled 1382 to 1109 computations (19.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (48.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4972 | 13488 |
| 1 | 4972 | 13488 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 3 | 412 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 8 | 419 |
Compiled 19366 to 14015 computations (27.6% saved)
Found 8 expressions with local error:
| 0.3b | (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) |
| 0.1b | (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1))) |
| 0.0b | (/.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1)))) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 0.3b | (cbrt.f64 (+.f64 x 1)) |
| 0.3b | (cbrt.f64 (+.f64 x 1)) |
| 0.3b | (cbrt.f64 (+.f64 x 1)) |
| 18.7b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1))))) |
| 1× | rewrite-expression-head |
| 118× | times-frac_binary64_3494 |
| 82× | add-sqr-sqrt_binary64_3510 |
| 73× | *-un-lft-identity_binary64_3488 |
| 60× | cancel-sign-sub-inv_binary64_3454 |
| 42× | cbrt-prod_binary64_3519 |
| 30× | add-cube-cbrt_binary64_3523 |
| 22× | difference-of-squares_binary64_3457 |
| 10× | distribute-lft-out_binary64_3439 |
| 8× | distribute-lft-out--_binary64_3440 cbrt-div_binary64_3520 |
| 7× | difference-of-sqr-1_binary64_3458 |
| 6× | add-log-exp_binary64_3527 |
| 4× | add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 flip-+_binary64_3462 flip3-+_binary64_3491 pow1_binary64_3549 |
| 3× | associate-/r/_binary64_3434 pow1/3_binary64_3570 |
| 2× | div-inv_binary64_3485 |
| 1× | flip3--_binary64_3492 diff-log_binary64_3580 flip--_binary64_3463 frac-sub_binary64_3497 sub-neg_binary64_3481 |
8 calls:
| 69.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1))))) |
| 3.0ms | (cbrt.f64 (+.f64 x 1)) |
| 3.0ms | (cbrt.f64 (+.f64 x 1)) |
| 3.0ms | (cbrt.f64 (+.f64 x 1)) |
| 0.0ms | (/.f64 x (+.f64 x 1)) |
4 calls:
| 70.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (/.f64 (-.f64 x 1) (cbrt.f64 (+.f64 x 1))))) |
| 51.0ms | (cbrt.f64 (+.f64 x 1)) |
| 50.0ms | (cbrt.f64 (+.f64 x 1)) |
| 47.0ms | (cbrt.f64 (+.f64 x 1)) |
Compiled 1175 to 981 computations (16.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (51.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5076 | 4388 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 0 | 158 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 158 | 8 | 166 |
Compiled 4853 to 3645 computations (24.9% saved)
Found 8 expressions with local error:
| 4.4b | (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 0.0b | (+.f64 (+.f64 x 1) (*.f64 x x)) |
| 0.0b | (+.f64 -1 (pow.f64 x 3)) |
| 0.0b | (/.f64 x (+.f64 x 1)) |
| 4.4b | (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) |
| 8.2b | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 (+.f64 x 1) (*.f64 x x)))) |
| 16.5b | (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 (+.f64 x 1) (*.f64 x x))) |
| 1× | rewrite-expression-head |
| 83× | *-un-lft-identity_binary64_3488 |
| 58× | add-sqr-sqrt_binary64_3510 |
| 53× | times-frac_binary64_3494 |
| 35× | add-cube-cbrt_binary64_3523 |
| 26× | associate-*l*_binary64_3429 |
| 15× | distribute-lft-out_binary64_3439 |
| 13× | add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 |
| 9× | difference-of-squares_binary64_3457 distribute-lft-out--_binary64_3440 |
| 8× | associate-/r*_binary64_3432 flip-+_binary64_3462 flip3-+_binary64_3491 associate-/l*_binary64_3433 |
| 6× | associate-/r/_binary64_3434 add-log-exp_binary64_3527 pow1_binary64_3549 |
| 5× | frac-add_binary64_3496 |
| 4× | frac-times_binary64_3498 associate-*r/_binary64_3430 |
| 3× | associate-*r*_binary64_3428 div-exp_binary64_3539 cbrt-undiv_binary64_3522 div-inv_binary64_3485 |
| 2× | distribute-lft-in_binary64_3437 associate-*l/_binary64_3431 clear-num_binary64_3487 distribute-rgt-in_binary64_3438 unswap-sqr_binary64_3456 associate-/l/_binary64_3435 cbrt-unprod_binary64_3521 associate-+r+_binary64_3420 frac-2neg_binary64_3499 prod-exp_binary64_3537 |
| 1× | flip3--_binary64_3492 +-commutative_binary64_3418 pow-prod-down_binary64_3559 flip--_binary64_3463 *-commutative_binary64_3419 sum-log_binary64_3579 div-sub_binary64_3493 |
8 calls:
| 22.0ms | (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 (+.f64 x 1) (*.f64 x x))) |
| 14.0ms | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 (+.f64 x 1) (*.f64 x x)))) |
| 14.0ms | (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) |
| 5.0ms | (/.f64 x (+.f64 x 1)) |
| 0.0ms | (+.f64 -1 (pow.f64 x 3)) |
4 calls:
| 91.0ms | (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 (+.f64 x 1) (*.f64 x x)))) |
| 47.0ms | (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) |
| 47.0ms | (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 (pow.f64 x 3))) (+.f64 (+.f64 x 1) (*.f64 x x))) |
| 33.0ms | (/.f64 x (+.f64 x 1)) |
Compiled 920 to 747 computations (18.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (54.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5009 | 4453 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 1 | 190 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 191 | 7 | 198 |
Compiled 5689 to 3885 computations (31.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (9.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 1715 |
| 1 | 676 | 1715 |
Compiled 2453 to 1880 computations (23.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 44.79751205509612 | 87417.7786515175 | 1977.3153917547227 |
| 8 | -315734.20136470115 | -73.04333385933747 | -10487.592747220726 |
Compiled 1 to 1 computations (0% saved)
Compiled 1132 to 879 computations (22.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 44.79751205509612 | 87417.7786515175 | 13635.28794537155 |
| 8 | -315734.20136470115 | -73.04333385933747 | -10487.592747220726 |
Compiled 1 to 1 computations (0% saved)
Compiled 482 to 382 computations (20.7% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 87417.7786515175 | 7196754274351.372 | 540498.6414826551 |
| 6 | -4900916.382688271 | -387457.089668734 | -515943.379764342 |
Compiled 1 to 1 computations (0% saved)
Compiled 354 to 288 computations (18.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 87417.7786515175 | 7196754274351.372 | 303456.6825641965 |
| 6 | -4900916.382688271 | -387457.089668734 | -515943.379764342 |
Compiled 1 to 1 computations (0% saved)
Compiled 316 to 260 computations (17.7% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 87417.7786515175 | 7196754274351.372 | 303456.6825641965 |
| 6 | -4900916.382688271 | -387457.089668734 | -515943.379764342 |
Compiled 1 to 1 computations (0% saved)
Compiled 180 to 156 computations (13.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 87417.7786515175 | 7196754274351.372 | 384257.84897965455 |
| 6 | -4900916.382688271 | -387457.089668734 | -515943.379764342 |
Compiled 1 to 1 computations (0% saved)
Compiled 29 to 29 computations (0% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 2.307904188735251e-08 | 16.74594831582501 | 0.992455561826402 |
| 9 | -3.221532685900676 | -5.458083995085865e-08 | -1.0247328982238428 |
Compiled 1 to 1 computations (0% saved)
Compiled 20 to 22 computations (-10% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 2.307904188735251e-08 | 16.74594831582501 | 0.992455561826402 |
| 9 | -3.221532685900676 | -5.458083995085865e-08 | -1.0247328982238428 |
Compiled 1 to 1 computations (0% saved)
Compiled 13 to 16 computations (-23.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 2.307904188735251e-08 | 16.74594831582501 | 0.992455561826402 |
| 9 | -3.221532685900676 | -5.458083995085865e-08 | -1.0247328982238428 |
Compiled 1 to 1 computations (0% saved)
Compiled 8 to 11 computations (-37.5% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 2.307904188735251e-08 | 16.74594831582501 | 0.992455561826402 |
| 9 | -3.221532685900676 | -5.458083995085865e-08 | -1.0247328982238428 |
Compiled 1 to 1 computations (0% saved)
Total 0.0b remaining (64.5%)
Threshold costs 0.0b (64.5%)
Compiled 5 to 8 computations (-60% saved)
Compiled 437 to 313 computations (28.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 570 |
| 1 | 190 | 570 |
| 1× | intervals |
| 241.0ms | 1967× | body | 1024 | valid |
| 144.0ms | 4369× | body | 128 | valid |
| 88.0ms | 952× | body | 512 | valid |
| 35.0ms | 218× | body | 2048 | valid |
| 32.0ms | 494× | body | 256 | valid |
Compiled 1531 to 1162 computations (24.1% saved)
0.9643828073693332
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