Time bar (total: 8.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 74.8% | 25.2% | 5 |
| 0% | 74.8% | 25.2% | 6 |
| 0% | 74.8% | 25.2% | 7 |
| 0% | 74.8% | 25.2% | 8 |
| 0% | 74.8% | 25.2% | 9 |
| 0% | 62.3% | 37.7% | 10 |
| 0% | 56.1% | 43.9% | 11 |
| 0% | 56.1% | 43.9% | 12 |
| 1.6% | 54.5% | 43.9% | 13 |
| 2.3% | 53.7% | 43.9% | 14 |
Compiled 23 to 16 computations (30.4% saved)
(sort x y)
| 1.3s | 8250× | body | 128 | valid |
| 369.0ms | 2473× | body | 128 | invalid |
| 1.0ms | 3× | body | 512 | valid |
| 1.0ms | 2× | body | 1024 | valid |
| 0.0ms | 1× | body | 256 | valid |
Compiled 68 to 47 computations (30.9% saved)
| 1× | egg-herbie |
| 866× | fma-neg_binary64 |
| 503× | fma-def_binary64 |
| 447× | sub-neg_binary64 |
| 362× | unsub-neg_binary64 |
| 320× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 24 |
| 1 | 35 | 22 |
| 2 | 106 | 22 |
| 3 | 334 | 21 |
| 4 | 1058 | 20 |
| 5 | 2896 | 20 |
| 6 | 4356 | 20 |
| 1× | node limit |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| 0.1b | (+.f64 (-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t))) (*.f64 (-.f64 a 1/2) b)) | |
| ▶ | 0.1b | (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) |
Compiled 120 to 80 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 1 (log.f64 t)) |
| ✓ | 0.0b | (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) |
| ✓ | 0.2b | (fma.f64 z (-.f64 1 (log.f64 t)) y) |
3 calls:
| 182.0ms | (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) |
| 97.0ms | (fma.f64 z (-.f64 1 (log.f64 t)) y) |
| 21.0ms | (-.f64 1 (log.f64 t)) |
| 1× | batch-egg-rewrite |
| 862× | prod-diff_binary64 |
| 162× | add-sqr-sqrt_binary64 |
| 153× | add-cbrt-cube_binary64 |
| 153× | log1p-expm1-u_binary64 |
| 153× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 36 |
| 1 | 319 | 36 |
| 2 | 4096 | 36 |
| 1× | node limit |
3 calls:
| 61.0ms | (-.f64 1 (log.f64 t)) |
| 61.0ms | (+.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)) |
| 61.0ms | (fma.f64 z (-.f64 1 (log.f64 t)) y) |
| 1× | egg-herbie |
| 851× | fma-def_binary64 |
| 687× | associate--l+_binary64 |
| 493× | +-commutative_binary64 |
| 470× | associate-+l-_binary64 |
| 294× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 1985 |
| 1 | 200 | 1984 |
| 2 | 587 | 1819 |
| 3 | 1914 | 1739 |
| 4 | 4872 | 1739 |
| 1× | node limit |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 7 | 122 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 117 | 7 | 124 |
| Status | Error | Program |
| 0.4b | (+.f64 (fma.f64 z (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 t))) 3) y) (fma.f64 (+.f64 a -1/2) b x)) | |
| 0.1b | (+.f64 (fma.f64 z (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) y) (fma.f64 (+.f64 a -1/2) b x)) | |
| 16.9b | (fma.f64 a b (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b -1/2 x))) | |
| 42.6b | (*.f64 (-.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) 2) (pow.f64 (fma.f64 (+.f64 a -1/2) b x) 2)) (/.f64 1 (-.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y) (fma.f64 (+.f64 a -1/2) b x)))) | |
| 18.7b | (+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x)) | |
| 0.7b | (+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3) (fma.f64 (+.f64 a -1/2) b x)) | |
| ▶ | 0.1b | (+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x)) |
Compiled 2825 to 1633 computations (42.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x)) |
| ✓ | 0.1b | (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) |
| ✓ | 0.3b | (*.f64 z (log.f64 t)) |
3 calls:
| 180.0ms | (*.f64 z (log.f64 t)) |
| 174.0ms | (+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x)) |
| 84.0ms | (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) |
| 1× | batch-egg-rewrite |
| 323× | log1p-udef_binary64 |
| 178× | add-sqr-sqrt_binary64 |
| 172× | log1p-expm1-u_binary64 |
| 172× | expm1-log1p-u_binary64 |
| 171× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 40 |
| 1 | 342 | 40 |
| 2 | 4980 | 40 |
| 1× | node limit |
3 calls:
| 79.0ms | (+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x)) |
| 79.0ms | (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) |
| 79.0ms | (*.f64 z (log.f64 t)) |
| 1× | egg-herbie |
| 867× | fma-def_binary64 |
| 528× | +-commutative_binary64 |
| 454× | associate-+l-_binary64 |
| 305× | associate--r+_binary64 |
| 290× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 1649 |
| 1 | 198 | 1648 |
| 2 | 591 | 1483 |
| 3 | 1891 | 1419 |
| 4 | 4793 | 1419 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 2 | 133 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 8 | 140 |
| Status | Error | Program |
| 0.1b | (+.f64 (fma.f64 z (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) y) (fma.f64 (+.f64 a -1/2) b x)) | |
| 32.1b | (+.f64 (-.f64 (+.f64 y z) (pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)) (fma.f64 (+.f64 a -1/2) b x)) | |
| ▶ | 0.1b | (+.f64 (+.f64 (+.f64 y (*.f64 z (-.f64 1 (log.f64 t)))) (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)) |
| 0.4b | (+.f64 (fma.f64 z (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 t))) 3) y) (fma.f64 (+.f64 a -1/2) b x)) | |
| 16.9b | (fma.f64 a b (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b -1/2 x))) | |
| 18.7b | (+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x)) | |
| 0.7b | (+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3) (fma.f64 (+.f64 a -1/2) b x)) | |
| ✓ | 0.1b | (+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x)) |
Compiled 3370 to 1769 computations (47.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (+.f64 (+.f64 y (*.f64 z (-.f64 1 (log.f64 t)))) (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)) |
| ✓ | 0.3b | (*.f64 z (-.f64 1 (log.f64 t))) |
| 0.3b | (*.f64 z (log.f64 t)) | |
| ✓ | 61.3b | (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t))) |
3 calls:
| 1.2s | (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t))) |
| 510.0ms | (+.f64 (+.f64 (+.f64 y (*.f64 z (-.f64 1 (log.f64 t)))) (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)) |
| 181.0ms | (*.f64 z (-.f64 1 (log.f64 t))) |
| 1× | batch-egg-rewrite |
| 225× | add-sqr-sqrt_binary64 |
| 217× | log1p-expm1-u_binary64 |
| 217× | expm1-log1p-u_binary64 |
| 215× | add-cbrt-cube_binary64 |
| 208× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 61 |
| 1 | 446 | 55 |
| 1× | node limit |
3 calls:
| 36.0ms | (+.f64 (+.f64 (+.f64 y (*.f64 z (-.f64 1 (log.f64 t)))) (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)) |
| 36.0ms | (*.f64 z (-.f64 1 (log.f64 t))) |
| 36.0ms | (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t))) |
| 1× | egg-herbie |
| 795× | fma-def_binary64 |
| 687× | associate--l+_binary64 |
| 471× | +-commutative_binary64 |
| 430× | associate-+l-_binary64 |
| 282× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 1751 |
| 1 | 180 | 1750 |
| 2 | 556 | 1641 |
| 3 | 1841 | 1561 |
| 4 | 4828 | 1561 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 0 | 107 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 107 | 8 | 115 |
| Status | Error | Program |
| ▶ | 0.1b | (+.f64 (fma.f64 z (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) y) (fma.f64 (+.f64 a -1/2) b x)) |
| 32.1b | (+.f64 (-.f64 (+.f64 y z) (pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)) (fma.f64 (+.f64 a -1/2) b x)) | |
| ✓ | 0.1b | (+.f64 (+.f64 (+.f64 y (*.f64 z (-.f64 1 (log.f64 t)))) (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)) |
| 0.4b | (+.f64 (fma.f64 z (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 t))) 3) y) (fma.f64 (+.f64 a -1/2) b x)) | |
| 16.9b | (fma.f64 a b (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b -1/2 x))) | |
| 18.7b | (+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x)) | |
| 0.7b | (+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 3) (fma.f64 (+.f64 a -1/2) b x)) | |
| ✓ | 0.1b | (+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x)) |
Compiled 3326 to 1523 computations (54.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 z (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) y) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) |
| ✓ | 0.4b | (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2))) |
| ✓ | 0.5b | (pow.f64 (log.f64 t) 2) |
4 calls:
| 207.0ms | (fma.f64 z (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) y) |
| 80.0ms | (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2))) |
| 53.0ms | (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) |
| 22.0ms | (pow.f64 (log.f64 t) 2) |
| 1× | batch-egg-rewrite |
| 452× | prod-diff_binary64 |
| 235× | log1p-udef_binary64 |
| 137× | add-sqr-sqrt_binary64 |
| 132× | log1p-expm1-u_binary64 |
| 132× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 67 |
| 1 | 285 | 31 |
| 2 | 3707 | 31 |
| 1× | node limit |
4 calls:
| 60.0ms | (fma.f64 z (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) y) |
| 60.0ms | (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2)))) |
| 60.0ms | (/.f64 (+.f64 1 (log.f64 t)) (-.f64 1 (pow.f64 (log.f64 t) 2))) |
| 60.0ms | (pow.f64 (log.f64 t) 2) |
| 1× | egg-herbie |
| 551× | fma-def_binary64 |
| 541× | times-frac_binary64 |
| 364× | div-sub_binary64 |
| 293× | cancel-sign-sub-inv_binary64 |
| 197× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 2017 |
| 1 | 177 | 1961 |
| 2 | 484 | 1753 |
| 3 | 1745 | 1529 |
| 1× | node limit |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 1 | 147 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 148 | 7 | 155 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 (+.f64 (+.f64 y (*.f64 z (-.f64 1 (log.f64 t)))) (fma.f64 (neg.f64 (log.f64 t)) z (*.f64 z (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)) |
| 0.4b | (+.f64 (fma.f64 z (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 t))) 3) y) (fma.f64 (+.f64 a -1/2) b x)) | |
| 32.1b | (+.f64 (-.f64 (+.f64 y z) (pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)) (fma.f64 (+.f64 a -1/2) b x)) | |
| 16.9b | (fma.f64 a b (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 b -1/2 x))) | |
| 18.7b | (+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) y)) 2) (fma.f64 (+.f64 a -1/2) b x)) | |
| ✓ | 0.1b | (+.f64 (-.f64 (+.f64 y z) (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b x)) |
| 0.9b | (+.f64 (-.f64 (+.f64 (/.f64 z (+.f64 1 (log.f64 t))) y) (/.f64 (*.f64 z (pow.f64 (log.f64 t) 2)) (+.f64 1 (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)) |
Compiled 3888 to 2487 computations (36% saved)
Total 0.1b remaining (71.3%)
Threshold costs 0.1b (71.3%)
Compiled 27318 to 19859 computations (27.3% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 38 |
| 1 | 32 | 38 |
| 2 | 35 | 38 |
| 3 | 36 | 38 |
| 1× | saturated |
Compiled 298 to 195 computations (34.6% saved)
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