Time bar (total: 1.2min)
| 1× | search |
| 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 |
| 1.5s | 138× | body | 8192 | exit |
| 84.0ms | 256× | body | 128 | valid |
| 7.0ms | 398× | pre | 128 | true |
| 1.0ms | 4× | body | 128 | invalid |
Compiled 249 to 223 computations (10.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (45.0ms)
| 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:
| 6.5b | (-.f64 (-.f64 1 z) 1) |
| 6.5b | (-.f64 (-.f64 1 z) 1) |
| 6.5b | (-.f64 (-.f64 1 z) 1) |
| 6.5b | (-.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:
| 11.0ms | (-.f64 (-.f64 1 z) 1) |
| 9.0ms | (-.f64 (-.f64 1 z) 1) |
| 9.0ms | (-.f64 (-.f64 1 z) 1) |
| 9.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 12896 to 10998 computations (14.7% saved)
4 calls:
| 40.0ms | (-.f64 (-.f64 1 z) 1) |
| 39.0ms | (-.f64 (-.f64 1 z) 1) |
| 37.0ms | (-.f64 (-.f64 1 z) 1) |
| 37.0ms | (-.f64 (-.f64 1 z) 1) |
Compiled 4356 to 3833 computations (12% saved)
| 1× | egg-herbie |
Useful iterations: 0 (59.0ms)
| 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 (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 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 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 |
| 19× | *-un-lft-identity_binary64_2465 |
| 18× | add-log-exp_binary64_2504 |
| 10× | add-exp-log_binary64_2503 |
| 9× | sum-log_binary64_2556 pow1_binary64_2526 add-cbrt-cube_binary64_2501 distribute-lft-out_binary64_2416 |
| 8× | frac-add_binary64_2473 |
| 7× | prod-exp_binary64_2514 |
| 5× | add-cube-cbrt_binary64_2500 add-sqr-sqrt_binary64_2487 flip3-+_binary64_2468 flip-+_binary64_2439 |
| 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:
| 41.0ms | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 24.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 17.0ms | (*.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 6200 to 4800 computations (22.6% saved)
4 calls:
| 189.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 64.0ms | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 35.0ms | (+.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 4128 to 3310 computations (19.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (33.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5710 | 2881 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 5 | 94 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 90 | 6 | 96 |
Compiled 8129 to 6254 computations (23.1% saved)
Found 4 expressions with local error:
| 1.0b | (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 1.0b | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 3.1b | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 196× | *-un-lft-identity_binary64_2465 |
| 195× | times-frac_binary64_2471 |
| 155× | add-sqr-sqrt_binary64_2487 |
| 111× | cancel-sign-sub-inv_binary64_2431 |
| 75× | add-cube-cbrt_binary64_2500 |
| 43× | distribute-lft-out--_binary64_2417 |
| 39× | difference-of-squares_binary64_2434 |
| 15× | distribute-lft-out_binary64_2416 |
| 14× | pow1_binary64_2526 |
| 13× | flip3-+_binary64_2468 flip-+_binary64_2439 |
| 12× | associate-/r/_binary64_2411 |
| 8× | add-log-exp_binary64_2504 frac-times_binary64_2475 frac-sub_binary64_2474 |
| 7× | flip3--_binary64_2469 flip--_binary64_2440 |
| 6× | add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 div-inv_binary64_2462 swap-sqr_binary64_2432 |
| 4× | associate-*l/_binary64_2408 associate-*r/_binary64_2407 associate-*l*_binary64_2406 associate-*r*_binary64_2405 |
| 2× | distribute-rgt-in_binary64_2415 associate--l+_binary64_2402 distribute-lft-in_binary64_2414 pow-prod-down_binary64_2536 sqrt-pow1_binary64_2483 |
| 1× | diff-log_binary64_2557 sub-neg_binary64_2458 pow1/2_binary64_2545 sqrt-prod_binary64_2481 pow2_binary64_2546 pow-prod-up_binary64_2535 pow-plus_binary64_2528 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 pow-sqr_binary64_2438 unswap-sqr_binary64_2433 *-commutative_binary64_2396 sum-log_binary64_2556 frac-add_binary64_2473 div-sub_binary64_2470 associate-+l-_binary64_2400 +-commutative_binary64_2395 |
4 calls:
| 136.0ms | (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 67.0ms | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 25.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 24366 to 19316 computations (20.7% saved)
4 calls:
| 125.0ms | (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 66.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 50.0ms | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 5000 to 3987 computations (20.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (50.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5282 | 7811 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 233 | 3 | 236 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 235 | 7 | 242 |
Compiled 25909 to 20316 computations (21.6% 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 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z))))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.6b | (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)))) |
| 1× | rewrite-expression-head |
| 320× | times-frac_binary64_2471 |
| 296× | sqrt-prod_binary64_2481 |
| 252× | add-sqr-sqrt_binary64_2487 |
| 237× | *-un-lft-identity_binary64_2465 |
| 198× | cancel-sign-sub-inv_binary64_2431 |
| 134× | add-cube-cbrt_binary64_2500 |
| 55× | difference-of-squares_binary64_2434 |
| 50× | distribute-lft-out--_binary64_2417 |
| 18× | associate-/r/_binary64_2411 |
| 11× | add-log-exp_binary64_2504 |
| 10× | add-exp-log_binary64_2503 flip3--_binary64_2469 flip--_binary64_2440 |
| 9× | pow1_binary64_2526 add-cbrt-cube_binary64_2501 div-inv_binary64_2462 |
| 7× | prod-exp_binary64_2514 |
| 4× | associate-*r*_binary64_2405 |
| 3× | cbrt-unprod_binary64_2498 |
| 2× | sum-log_binary64_2556 diff-log_binary64_2557 flip3-+_binary64_2468 frac-sub_binary64_2474 flip-+_binary64_2439 sqrt-div_binary64_2482 distribute-lft-out_binary64_2416 pow-prod-down_binary64_2536 sqrt-pow1_binary64_2483 |
| 1× | sub-neg_binary64_2458 associate--l+_binary64_2402 pow1/2_binary64_2545 frac-add_binary64_2473 +-commutative_binary64_2395 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:
| 211.0ms | (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z))))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 95.0ms | (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.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))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 35469 to 28391 computations (20% saved)
4 calls:
| 198.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 72.0ms | (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z))))) (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z)))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 47.0ms | (-.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 (sqrt.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z))) (sqrt.f64 (-.f64 2 z)))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 5164 to 4192 computations (18.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (46.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4951 | 12467 |
| 1 | 4951 | 12467 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 291 | 0 | 291 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 291 | 7 | 298 |
Compiled 36582 to 29097 computations (20.5% saved)
Total 0.2b remaining (42.3%)
Threshold costs 0.2b (42.3%)
Compiled 9768 to 8172 computations (16.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 177 |
| 1 | 144 | 177 |
| 1× | intervals |
| 42.6s | 3846× | body | 8192 | exit |
| 2.5s | 8000× | body | 128 | valid |
| 224.0ms | 11926× | pre | 128 | true |
| 27.0ms | 80× | body | 128 | invalid |
Compiled 5000 to 4183 computations (16.3% saved)
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