Time bar (total: 1.3min)
| 1× | search |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4804 | 115 |
| 1 | 4804 | 115 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 0% | 74.9% | 25.1% | 2 |
| 18.7% | 56.2% | 25.1% | 3 |
| 37.5% | 37.5% | 25.1% | 4 |
| 42.1% | 32.8% | 25.1% | 5 |
| 46.8% | 28.1% | 25.1% | 6 |
| 48% | 26.9% | 25.1% | 7 |
| 49.2% | 25.8% | 25.1% | 8 |
| 49.5% | 25.5% | 25.1% | 9 |
| 49.8% | 25.2% | 25.1% | 10 |
| 49.8% | 25.2% | 25.1% | 11 |
| 49.8% | 25.1% | 25.1% | 12 |
| 49.9% | 25% | 25.1% | 13 |
| 49.9% | 25% | 25.1% | 14 |
Compiled 126 to 112 computations (11.1% saved)
| 1× | intervals |
| 1.2s | 107× | body | 8192 | exit |
| 80.0ms | 256× | body | 128 | valid |
| 7.0ms | 372× | pre | 128 | true |
| 3.0ms | 9× | body | 128 | invalid |
Compiled 249 to 223 computations (10.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (44.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4804 | 115 |
| 1 | 4804 | 115 |
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 271 to 232 computations (14.4% saved)
Found 4 expressions with local error:
| 6.1b | (-.f64 (-.f64 1 z) 1) |
| 6.1b | (-.f64 (-.f64 1 z) 1) |
| 6.1b | (-.f64 (-.f64 1 z) 1) |
| 6.1b | (-.f64 (-.f64 1 z) 1) |
| 1× | rewrite-expression-head |
| 36× | *-un-lft-identity_binary64_2465 |
| 28× | add-sqr-sqrt_binary64_2487 |
| 24× | add-log-exp_binary64_2504 cancel-sign-sub-inv_binary64_2431 |
| 16× | associate--l+_binary64_2402 |
| 12× | diff-log_binary64_2557 add-cube-cbrt_binary64_2500 distribute-lft-out--_binary64_2417 |
| 8× | sub-neg_binary64_2458 difference-of-squares_binary64_2434 |
| 4× | pow1_binary64_2526 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 flip3--_binary64_2469 flip--_binary64_2440 difference-of-sqr-1_binary64_2435 associate--l-_binary64_2403 |
4 calls:
| 9.0ms | (-.f64 (-.f64 1 z) 1) |
| 8.0ms | (-.f64 (-.f64 1 z) 1) |
| 8.0ms | (-.f64 (-.f64 1 z) 1) |
| 8.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 12896 to 10998 computations (14.7% saved)
4 calls:
| 40.0ms | (-.f64 (-.f64 1 z) 1) |
| 40.0ms | (-.f64 (-.f64 1 z) 1) |
| 39.0ms | (-.f64 (-.f64 1 z) 1) |
| 38.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 4356 to 3833 computations (12% saved)
| 1× | egg-herbie |
Useful iterations: 0 (63.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5392 | 704 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 0 | 112 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 2 | 114 |
Compiled 13990 to 11821 computations (15.5% saved)
Found 4 expressions with local error:
| 1.0b | (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.6b | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 24× | *-un-lft-identity_binary64_2465 |
| 23× | add-log-exp_binary64_2504 |
| 14× | frac-add_binary64_2473 |
| 13× | sum-log_binary64_2556 distribute-lft-out_binary64_2416 |
| 10× | add-exp-log_binary64_2503 |
| 9× | pow1_binary64_2526 add-cbrt-cube_binary64_2501 |
| 7× | prod-exp_binary64_2514 |
| 6× | flip3-+_binary64_2468 flip-+_binary64_2439 |
| 5× | add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 |
| 4× | associate-*r*_binary64_2405 |
| 3× | cbrt-unprod_binary64_2498 |
| 2× | associate-+l+_binary64_2398 +-commutative_binary64_2395 pow-prod-down_binary64_2536 sqrt-pow1_binary64_2483 |
| 1× | pow1/2_binary64_2545 sqrt-prod_binary64_2481 pow-to-exp_binary64_2534 pow-exp_binary64_2533 pow-sub_binary64_2541 associate-*r/_binary64_2407 associate-*l/_binary64_2408 associate-*l*_binary64_2406 exp-sum_binary64_2511 *-commutative_binary64_2396 |
4 calls:
| 47.0ms | (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) |
| 25.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 16.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 3.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 6884 to 5351 computations (22.3% saved)
4 calls:
| 197.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 40.0ms | (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) |
| 36.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 3328 to 2676 computations (19.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (68.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4925 | 3537 |
| 1 | 4925 | 3537 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 6 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 87 | 7 | 94 |
Compiled 8416 to 6519 computations (22.5% saved)
Found 4 expressions with local error:
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.6b | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 1× | rewrite-expression-head |
| 83× | associate-*r/_binary64_2407 |
| 68× | frac-times_binary64_2475 |
| 64× | frac-add_binary64_2473 |
| 60× | flip3-+_binary64_2468 flip-+_binary64_2439 |
| 43× | flip3--_binary64_2469 flip--_binary64_2440 |
| 35× | associate-*l/_binary64_2408 |
| 13× | add-sqr-sqrt_binary64_2487 |
| 12× | add-exp-log_binary64_2503 |
| 11× | pow1_binary64_2526 add-cbrt-cube_binary64_2501 *-un-lft-identity_binary64_2465 |
| 9× | add-cube-cbrt_binary64_2500 associate-*r*_binary64_2405 |
| 8× | prod-exp_binary64_2514 |
| 6× | add-log-exp_binary64_2504 distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414 cancel-sign-sub-inv_binary64_2431 |
| 4× | cbrt-unprod_binary64_2498 associate-*l*_binary64_2406 |
| 3× | pow-prod-down_binary64_2536 |
| 2× | associate-+l+_binary64_2398 associate-+r+_binary64_2397 sqrt-pow1_binary64_2483 sub-neg_binary64_2458 *-commutative_binary64_2396 |
| 1× | sum-log_binary64_2556 +-commutative_binary64_2395 pow1/2_binary64_2545 sqrt-prod_binary64_2481 unswap-sqr_binary64_2433 difference-of-squares_binary64_2434 distribute-lft-out--_binary64_2417 pow-to-exp_binary64_2534 pow-exp_binary64_2533 pow-sub_binary64_2541 exp-sum_binary64_2511 |
4 calls:
| 37.0ms | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 34.0ms | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 16.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 34356 to 28188 computations (18% saved)
4 calls:
| 217.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 80.0ms | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 77.0ms | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 6742 to 5534 computations (17.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (36.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5739 | 16319 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 1 | 165 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 164 | 8 | 172 |
Compiled 35262 to 28787 computations (18.4% saved)
Found 4 expressions with local error:
| 1.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 1.0b | (sqrt.f64 PI.f64) |
| 2.6b | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 1× | rewrite-expression-head |
| 83× | associate-*r/_binary64_2407 |
| 68× | frac-times_binary64_2475 |
| 64× | frac-add_binary64_2473 |
| 60× | flip3-+_binary64_2468 flip-+_binary64_2439 |
| 43× | flip3--_binary64_2469 flip--_binary64_2440 |
| 35× | associate-*l/_binary64_2408 |
| 20× | add-exp-log_binary64_2503 |
| 17× | prod-exp_binary64_2514 |
| 15× | add-cbrt-cube_binary64_2501 add-sqr-sqrt_binary64_2487 |
| 12× | *-un-lft-identity_binary64_2465 |
| 10× | add-cube-cbrt_binary64_2500 |
| 9× | pow1_binary64_2526 associate-*r*_binary64_2405 |
| 7× | cbrt-unprod_binary64_2498 |
| 6× | add-log-exp_binary64_2504 distribute-rgt-in_binary64_2415 distribute-lft-in_binary64_2414 cancel-sign-sub-inv_binary64_2431 |
| 4× | associate-*l*_binary64_2406 |
| 3× | sqrt-prod_binary64_2481 |
| 2× | associate-+l+_binary64_2398 associate-+r+_binary64_2397 pow-prod-down_binary64_2536 sub-neg_binary64_2458 *-commutative_binary64_2396 pow-to-exp_binary64_2534 pow-exp_binary64_2533 |
| 1× | sum-log_binary64_2556 +-commutative_binary64_2395 pow1/2_binary64_2545 sqrt-pow1_binary64_2483 rem-sqrt-square_binary64_2478 unswap-sqr_binary64_2433 difference-of-squares_binary64_2434 distribute-lft-out--_binary64_2417 pow-sub_binary64_2541 exp-sum_binary64_2511 |
4 calls:
| 38.0ms | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 35.0ms | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 19.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0ms | (sqrt.f64 PI.f64) |
Compiled 35553 to 29003 computations (18.4% saved)
4 calls:
| 225.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 79.0ms | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 79.0ms | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 6770 to 5550 computations (18% saved)
| 1× | egg-herbie |
Useful iterations: 0 (37.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5789 | 16484 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 2 | 171 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 173 | 6 | 179 |
Compiled 35867 to 29116 computations (18.8% saved)
Total 0.2b remaining (44.8%)
Threshold costs 0.2b (44.8%)
Compiled 10370 to 8694 computations (16.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 257 |
| 1 | 138 | 257 |
| 1× | intervals |
| 43.0s | 3893× | body | 8192 | exit |
| 2.4s | 8000× | body | 128 | valid |
| 223.0ms | 11993× | pre | 128 | true |
| 32.0ms | 100× | body | 128 | invalid |
Compiled 5355 to 4490 computations (16.2% saved)
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