Time bar (total: 29.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 14% | 86% | 0 |
| 0% | 14% | 86% | 1 |
| 0% | 14% | 86% | 2 |
| 0% | 14% | 86% | 3 |
| 0% | 14% | 86% | 4 |
| 0% | 14% | 86% | 5 |
| 0% | 14% | 86% | 6 |
| 8.1% | 5.9% | 86% | 7 |
| 10.3% | 3.7% | 86% | 8 |
| 12.6% | 1.5% | 86% | 9 |
| 13.9% | 0.1% | 86% | 10 |
| 14% | 0% | 86% | 11 |
| 14% | 0% | 86% | 12 |
| 14% | 0% | 86% | 13 |
| 14% | 0% | 86% | 14 |
Compiled 63 to 34 computations (46% saved)
| 1× | intervals |
| 21.0ms | 256× | body | 128 | valid |
| 6.0ms | 256× | pre | 128 | true |
Compiled 116 to 64 computations (44.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (38.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5395 | 79 |
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 106 to 54 computations (49.1% saved)
Found 8 expressions with local error:
| 0.0b | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
| 0.0b | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
| 0.0b | (*.f64 i (+.f64 (+.f64 alpha beta) i)) |
| 0.0b | (*.f64 i (+.f64 (+.f64 alpha beta) i)) |
| 0.0b | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
| 0.1b | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
| 40.1b | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1)) |
| 46.2b | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) |
| 1× | rewrite-expression-head |
| 86× | times-frac_binary64_2471 |
| 66× | flip3-+_binary64_2468 flip-+_binary64_2439 associate-/r/_binary64_2411 |
| 61× | add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 |
| 46× | add-sqr-sqrt_binary64_2487 |
| 44× | *-un-lft-identity_binary64_2465 frac-times_binary64_2475 |
| 34× | associate-*r/_binary64_2407 |
| 30× | add-cube-cbrt_binary64_2500 |
| 28× | difference-of-squares_binary64_2434 |
| 22× | associate-*l/_binary64_2408 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 |
| 19× | cbrt-undiv_binary64_2499 div-exp_binary64_2516 |
| 16× | pow1_binary64_2526 |
| 14× | difference-of-sqr-1_binary64_2435 associate-/l*_binary64_2410 |
| 9× | associate-/l/_binary64_2412 div-inv_binary64_2462 |
| 7× | associate-/r*_binary64_2409 |
| 6× | associate-*r*_binary64_2405 |
| 4× | add-log-exp_binary64_2504 pow-prod-down_binary64_2536 associate-*l*_binary64_2406 |
| 3× | swap-sqr_binary64_2432 |
| 2× | distribute-lft-in_binary64_2414 *-commutative_binary64_2396 clear-num_binary64_2464 distribute-rgt-in_binary64_2415 frac-2neg_binary64_2476 |
| 1× | pow-plus_binary64_2528 flip--_binary64_2440 unswap-sqr_binary64_2433 pow2_binary64_2546 flip3--_binary64_2469 pow-sqr_binary64_2438 pow-prod-up_binary64_2535 |
8 calls:
| 45.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1)) |
| 30.0ms | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) |
| 14.0ms | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
| 14.0ms | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
| 0.0ms | (*.f64 i (+.f64 (+.f64 alpha beta) i)) |
4 calls:
| 8.7s | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1)) |
| 717.0ms | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) |
| 495.0ms | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
| 261.0ms | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) |
Compiled 17576 to 12294 computations (30.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (35.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5827 | 25176 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 7 | 319 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 313 | 7 | 320 |
Compiled 24343 to 10129 computations (58.4% saved)
| 1× | rewrite-expression-head |
| 1× | egg-herbie |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 0 | 7 | 7 |
Compiled 252 to 144 computations (42.9% saved)
Found 8 expressions with local error:
| 0.0b | (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) |
| 0.0b | (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) |
| 0.0b | (*.f64 i (+.f64 i (+.f64 alpha beta))) |
| 0.0b | (*.f64 i (+.f64 i (+.f64 alpha beta))) |
| 0.0b | (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) |
| 0.1b | (*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) |
| 37.4b | (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 38.1b | (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 1× | rewrite-expression-head |
| 414× | times-frac_binary64_2471 |
| 314× | add-sqr-sqrt_binary64_2487 |
| 280× | *-un-lft-identity_binary64_2465 |
| 169× | add-cube-cbrt_binary64_2500 |
| 111× | associate-*r*_binary64_2405 |
| 70× | add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 |
| 62× | difference-of-squares_binary64_2434 |
| 48× | associate-/r/_binary64_2411 |
| 42× | associate-*l*_binary64_2406 |
| 33× | cbrt-undiv_binary64_2499 div-exp_binary64_2516 |
| 31× | difference-of-sqr-1_binary64_2435 distribute-lft-out--_binary64_2417 |
| 24× | flip3-+_binary64_2468 flip-+_binary64_2439 div-inv_binary64_2462 |
| 19× | associate-/l*_binary64_2410 |
| 16× | prod-exp_binary64_2514 cbrt-unprod_binary64_2498 |
| 13× | associate-/r*_binary64_2409 |
| 9× | distribute-lft-out_binary64_2416 |
| 6× | unswap-sqr_binary64_2433 pow1_binary64_2526 |
| 5× | associate-/l/_binary64_2412 |
| 4× | add-log-exp_binary64_2504 |
| 3× | associate-*r/_binary64_2407 clear-num_binary64_2464 frac-2neg_binary64_2476 |
| 2× | flip--_binary64_2440 flip3--_binary64_2469 |
| 1× | associate-*l/_binary64_2408 *-commutative_binary64_2396 frac-times_binary64_2475 pow-prod-down_binary64_2536 |
8 calls:
| 132.0ms | (*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) |
| 22.0ms | (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) |
| 13.0ms | (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 11.0ms | (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 0.0ms | (*.f64 i (+.f64 i (+.f64 alpha beta))) |
4 calls:
| 7.2s | (*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) |
| 1.5s | (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) |
| 272.0ms | (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 181.0ms | (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
Compiled 17611 to 12259 computations (30.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (39.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5245 | 36962 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 4 | 472 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 471 | 8 | 479 |
Compiled 38379 to 16368 computations (57.4% saved)
Found 8 expressions with local error:
| 0.0b | (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) |
| 0.0b | (*.f64 i (+.f64 i (+.f64 alpha beta))) |
| 0.0b | (*.f64 i (+.f64 i (+.f64 alpha beta))) |
| 0.0b | (*.f64 i (+.f64 i (+.f64 alpha beta))) |
| 0.1b | (*.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) |
| 37.4b | (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 38.0b | (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) |
| 38.0b | (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) |
| 1× | rewrite-expression-head |
| 41× | add-sqr-sqrt_binary64_2487 |
| 25× | times-frac_binary64_2471 |
| 24× | associate-*r*_binary64_2405 |
| 23× | *-un-lft-identity_binary64_2465 sqrt-prod_binary64_2481 add-cube-cbrt_binary64_2500 |
| 14× | add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 |
| 8× | pow1_binary64_2526 sqrt-div_binary64_2482 |
| 7× | flip3-+_binary64_2468 flip-+_binary64_2439 |
| 6× | unswap-sqr_binary64_2433 associate-*l*_binary64_2406 |
| 4× | add-log-exp_binary64_2504 associate-/r/_binary64_2411 |
| 3× | associate-/r*_binary64_2409 associate-*r/_binary64_2407 cbrt-undiv_binary64_2499 div-exp_binary64_2516 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 |
| 2× | associate-*l/_binary64_2408 frac-times_binary64_2475 pow1/2_binary64_2545 associate-/l/_binary64_2412 div-inv_binary64_2462 rem-sqrt-square_binary64_2478 sqrt-pow1_binary64_2483 |
| 1× | *-commutative_binary64_2396 clear-num_binary64_2464 frac-2neg_binary64_2476 pow-prod-down_binary64_2536 associate-/l*_binary64_2410 |
8 calls:
| 25.0ms | (*.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) |
| 13.0ms | (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) |
| 0.0ms | (*.f64 i (+.f64 i (+.f64 alpha beta))) |
4 calls:
| 271.0ms | (*.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) |
| 199.0ms | (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) |
| 176.0ms | (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) |
| 171.0ms | (sqrt.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta))))) |
Compiled 8023 to 4706 computations (41.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (61.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4987 | 5108 |
| 1 | 4987 | 5108 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 0 | 172 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 172 | 8 | 180 |
Compiled 12601 to 4394 computations (65.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (10.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 512 | 4667 |
| 1 | 512 | 4667 |
Compiled 9342 to 4863 computations (47.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.7314361485825164e+121 | 2.882623618781556e+123 | 3.0038864540210744e+122 |
Compiled 1 to 3 computations (-200% saved)
Compiled 2139 to 1308 computations (38.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.7314361485825164e+121 | 2.882623618781556e+123 | 7.983772415137889e+122 |
Compiled 1 to 3 computations (-200% saved)
Compiled 1662 to 1065 computations (35.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.7314361485825164e+121 | 2.882623618781556e+123 | 1.4998886754282225e+123 |
Compiled 1 to 3 computations (-200% saved)
Compiled 1344 to 900 computations (33% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.7314361485825164e+121 | 2.882623618781556e+123 | 1.882778091047329e+123 |
Compiled 1 to 3 computations (-200% saved)
Compiled 1185 to 819 computations (30.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.7314361485825164e+121 | 2.882623618781556e+123 | 2.4188232729140788e+123 |
Compiled 1 to 3 computations (-200% saved)
Compiled 1044 to 732 computations (29.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 2.0374507719293203e+130 | 2.9660913223250503e+133 | 4.086212311574064e+131 |
Compiled 1 to 3 computations (-200% saved)
Compiled 210 to 204 computations (2.9% saved)
Total 3.3b remaining (29.9%)
Threshold costs 0b (0%)
Compiled 15 to 54 computations (-260% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 4.4264350272148485e+204 | 1.532220757773531e+208 | 4.483882443948973e+204 |
Compiled 323 to 199 computations (38.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 475 |
| 1 | 83 | 475 |
| 1× | intervals |
| 630.0ms | 8000× | body | 128 | valid |
| 184.0ms | 8000× | pre | 128 | true |
Compiled 3497 to 1848 computations (47.2% saved)
0.3761852493894276
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