Time bar (total: 7.7s)
| 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 66 to 34 computations (48.5% saved)
| 1× | intervals |
| 27.0ms | 256× | body | 128 | valid |
| 6.0ms | 256× | pre | 128 | true |
Compiled 125 to 64 computations (48.8% saved)
| 1× | egg-herbie |
| 705× | associate-+l+_binary64 |
| 492× | associate-*l*_binary64 |
| 422× | associate-*r*_binary64 |
| 369× | times-frac_binary64 |
| 336× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 75 |
| 1 | 67 | 67 |
| 2 | 293 | 67 |
| 3 | 1612 | 67 |
| 4 | 4979 | 67 |
| 5 | 5035 | 67 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
| Status | Error | Program |
| ▶ | 53.5b | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) |
Compiled 150 to 66 computations (56% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) |
| 0.1b | (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) |
| 36.6b | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) |
| 45.7b | (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) |
| 1× | rewrite-expression-head |
| 40× | add-exp-log_binary64 |
| 40× | pow1_binary64 |
| 31× | add-cube-cbrt_binary64 |
| 24× | add-cbrt-cube_binary64 |
| 21× | add-sqr-sqrt_binary64 |
4 calls:
| 133.0ms | (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) |
| 21.0ms | (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) |
| 16.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) |
| 14.0ms | (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) |
Compiled 10131 to 3010 computations (70.3% saved)
4 calls:
| 1.3s | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) |
| 154.0ms | (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) |
| 101.0ms | (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) |
| 61.0ms | (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) |
Compiled 22538 to 15057 computations (33.2% saved)
| 1× | egg-herbie |
| 708× | fma-def_binary64 |
| 218× | distribute-rgt-in_binary64 |
| 202× | *-commutative_binary64 |
| 200× | distribute-lft-in_binary64 |
| 186× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 728 | 13581 |
| 1 | 2575 | 12114 |
| 2 | 4887 | 12114 |
| 3 | 4965 | 12114 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 5 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 6 | 210 |
| Status | Error | Program |
| 39.0b | (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 (fma.f64 i 2 alpha) beta) 2) (fma.f64 i (+.f64 i (+.f64 beta alpha)) (*.f64 beta alpha)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) | |
| 63.6b | (/.f64 i (/.f64 (*.f64 alpha alpha) (+.f64 i beta))) | |
| 58.4b | (-.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 beta beta)) (/.f64 (*.f64 i alpha) (*.f64 beta beta))) (fma.f64 3 (/.f64 (*.f64 i (*.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3)) (*.f64 9 (/.f64 (*.f64 alpha (*.f64 i i)) (pow.f64 beta 3)))))) | |
| 56.7b | (/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha))) | |
| ▶ | 22.8b | (-.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i))))) |
| ✓ | 53.5b | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) |
Compiled 10435 to 4226 computations (59.5% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))) |
| 0.7b | (/.f64 1/64 (*.f64 i i)) |
| 2.5b | (/.f64 (*.f64 alpha alpha) (*.f64 i i)) |
| 20.1b | (/.f64 (*.f64 beta beta) (*.f64 i i)) |
| 1× | rewrite-expression-head |
| 34× | add-exp-log_binary64 |
| 26× | add-cbrt-cube_binary64 |
| 25× | add-cube-cbrt_binary64 |
| 23× | pow1_binary64 |
| 20× | add-sqr-sqrt_binary64 |
4 calls:
| 25.0ms | (/.f64 (*.f64 alpha alpha) (*.f64 i i)) |
| 20.0ms | (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))) |
| 14.0ms | (/.f64 (*.f64 beta beta) (*.f64 i i)) |
| 13.0ms | (/.f64 1/64 (*.f64 i i)) |
Compiled 4802 to 1605 computations (66.6% saved)
4 calls:
| 46.0ms | (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))) |
| 17.0ms | (/.f64 (*.f64 alpha alpha) (*.f64 i i)) |
| 17.0ms | (/.f64 (*.f64 beta beta) (*.f64 i i)) |
| 6.0ms | (/.f64 1/64 (*.f64 i i)) |
Compiled 1534 to 1093 computations (28.7% saved)
| 1× | egg-herbie |
| 406× | fma-def_binary64 |
| 282× | fma-neg_binary64 |
| 275× | distribute-rgt-in_binary64 |
| 258× | distribute-lft-in_binary64 |
| 221× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 3076 |
| 1 | 521 | 2434 |
| 2 | 1893 | 2263 |
| 3 | 4810 | 2263 |
| 4 | 4974 | 2263 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 2 | 110 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 110 | 6 | 116 |
| Status | Error | Program |
| 58.4b | (-.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 beta beta)) (/.f64 (*.f64 i alpha) (*.f64 beta beta))) (fma.f64 3 (/.f64 (*.f64 i (*.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3)) (*.f64 9 (/.f64 (*.f64 alpha (*.f64 i i)) (pow.f64 beta 3)))))) | |
| 56.7b | (/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha))) | |
| 39.0b | (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 (fma.f64 i 2 alpha) beta) 2) (fma.f64 i (+.f64 i (+.f64 beta alpha)) (*.f64 beta alpha)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) | |
| 17.5b | (-.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (*.f64 1/32 (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))))))) | |
| ✓ | 53.5b | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) |
| ▶ | 17.3b | (-.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (*.f64 (/.f64 (*.f64 alpha alpha) (*.f64 i i)) 1/32)) |
Compiled 2040 to 965 computations (52.7% saved)
Found 2 expressions with local error:
| 0.7b | (/.f64 1/64 (*.f64 i i)) |
| 2.5b | (/.f64 (*.f64 alpha alpha) (*.f64 i i)) |
| 1× | rewrite-expression-head |
| 18× | add-exp-log_binary64 |
| 15× | add-cube-cbrt_binary64 |
| 14× | add-cbrt-cube_binary64 |
| 8× | times-frac_binary64 |
| 8× | pow1_binary64 |
2 calls:
| 15.0ms | (/.f64 (*.f64 alpha alpha) (*.f64 i i)) |
| 13.0ms | (/.f64 1/64 (*.f64 i i)) |
Compiled 1620 to 742 computations (54.2% saved)
2 calls:
| 17.0ms | (/.f64 (*.f64 alpha alpha) (*.f64 i i)) |
| 6.0ms | (/.f64 1/64 (*.f64 i i)) |
Compiled 397 to 309 computations (22.2% saved)
| 1× | egg-herbie |
| 481× | times-frac_binary64 |
| 464× | fma-def_binary64 |
| 362× | unswap-sqr_binary64 |
| 323× | fma-neg_binary64 |
| 305× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 943 |
| 1 | 196 | 756 |
| 2 | 515 | 726 |
| 3 | 2280 | 637 |
| 4 | 4043 | 637 |
| 5 | 4943 | 637 |
| 6 | 4987 | 637 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 0 | 54 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 54 | 6 | 60 |
| Status | Error | Program |
| 58.4b | (-.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 beta beta)) (/.f64 (*.f64 i alpha) (*.f64 beta beta))) (fma.f64 3 (/.f64 (*.f64 i (*.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3)) (*.f64 9 (/.f64 (*.f64 alpha (*.f64 i i)) (pow.f64 beta 3)))))) | |
| 56.7b | (/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha))) | |
| 39.0b | (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 (fma.f64 i 2 alpha) beta) 2) (fma.f64 i (+.f64 i (+.f64 beta alpha)) (*.f64 beta alpha)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) | |
| ▶ | 17.5b | (-.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (*.f64 1/32 (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))))))) |
| ✓ | 53.5b | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) |
| ✓ | 17.3b | (-.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (*.f64 (/.f64 (*.f64 alpha alpha) (*.f64 i i)) 1/32)) |
Compiled 1005 to 578 computations (42.5% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 1/32 (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i)))))) |
| 0.7b | (/.f64 1/64 (*.f64 i i)) |
| 3.1b | (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))))) |
| 8.8b | (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))) |
| 1× | rewrite-expression-head |
| 28× | add-cube-cbrt_binary64 |
| 18× | add-cbrt-cube_binary64 |
| 18× | pow1_binary64 |
| 17× | add-sqr-sqrt_binary64 |
| 16× | add-exp-log_binary64 |
4 calls:
| 228.0ms | (*.f64 1/32 (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i)))))) |
| 14.0ms | (/.f64 1/64 (*.f64 i i)) |
| 12.0ms | (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))))) |
| 12.0ms | (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))) |
Compiled 3481 to 1589 computations (54.4% saved)
4 calls:
| 109.0ms | (*.f64 1/32 (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i)))))) |
| 62.0ms | (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))))) |
| 45.0ms | (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))) |
| 7.0ms | (/.f64 1/64 (*.f64 i i)) |
Compiled 2042 to 1622 computations (20.6% saved)
| 1× | egg-herbie |
| 967× | fma-def_binary64 |
| 540× | unswap-sqr_binary64 |
| 369× | associate-*l*_binary64 |
| 329× | associate-*r*_binary64 |
| 255× | log-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 2739 |
| 1 | 362 | 2208 |
| 2 | 792 | 2046 |
| 3 | 2806 | 2023 |
| 4 | 4083 | 2023 |
| 5 | 4898 | 2023 |
| 6 | 5051 | 2023 |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 0 | 99 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 99 | 6 | 105 |
| Status | Error | Program |
| 58.4b | (-.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 beta beta)) (/.f64 (*.f64 i alpha) (*.f64 beta beta))) (fma.f64 3 (/.f64 (*.f64 i (*.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3)) (*.f64 9 (/.f64 (*.f64 alpha (*.f64 i i)) (pow.f64 beta 3)))))) | |
| 56.7b | (/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha))) | |
| 39.0b | (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 (fma.f64 i 2 alpha) beta) 2) (fma.f64 i (+.f64 i (+.f64 beta alpha)) (*.f64 beta alpha)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) | |
| 17.5b | (-.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (*.f64 1/32 (exp.f64 (*.f64 2 (log.f64 (hypot.f64 (/.f64 beta i) (/.f64 alpha i))))))) | |
| 53.5b | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1)) | |
| 17.3b | (-.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (*.f64 (/.f64 (*.f64 alpha alpha) (*.f64 i i)) 1/32)) |
Compiled 1685 to 858 computations (49.1% saved)
Total 1.6b remaining (13.1%)
Threshold costs 0b (0%)
Compiled 22656 to 12585 computations (44.5% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 5 | 1.7192133982651408e+108 | 4.2775248778582753e+108 | 2.4346701189244063e+108 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 67 |
| 1 | 29 | 67 |
| 2 | 29 | 67 |
(sort alpha beta)
Compiled 150 to 78 computations (48% saved)
| 1× | intervals |
| 938.0ms | 8000× | body | 128 | valid |
| 255.0ms | 8000× | pre | 128 | true |
Compiled 320 to 177 computations (44.7% saved)
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