Time bar (total: 6.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 93.6% | 6.4% | 6 |
| 0% | 31.2% | 68.8% | 7 |
| 0% | 31.2% | 68.8% | 8 |
| 0% | 31.2% | 68.8% | 9 |
| 0% | 28.1% | 71.9% | 10 |
| 2.3% | 24.2% | 73.5% | 11 |
| 3.5% | 23% | 73.5% | 12 |
| 5.3% | 21.2% | 73.5% | 13 |
| 6.1% | 19.6% | 74.3% | 14 |
Compiled 18 to 13 computations (27.8% saved)
| 1.0s | 5938× | body | 128 | valid |
| 559.0ms | 685× | body | 1024 | valid |
| 482.0ms | 949× | body | 512 | valid |
| 205.0ms | 664× | body | 256 | valid |
| 49.0ms | 309× | body | 128 | invalid |
| 20.0ms | 20× | body | 2048 | valid |
Compiled 36 to 26 computations (27.8% saved)
| 2× | egg-herbie |
| 535× | fma-neg_binary64 |
| 351× | cancel-sign-sub-inv_binary64 |
| 301× | sub-neg_binary64 |
| 265× | distribute-rgt-in_binary64 |
| 256× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 126 |
| 1 | 101 | 119 |
| 2 | 216 | 119 |
| 3 | 382 | 119 |
| 4 | 662 | 119 |
| 5 | 1095 | 119 |
| 6 | 2181 | 119 |
| 7 | 3682 | 119 |
| 8 | 4434 | 119 |
| 9 | 4693 | 119 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 821× | fma-neg_binary64 |
| 312× | fma-def_binary64 |
| 173× | distribute-rgt-in_binary64 |
| 132× | unsub-neg_binary64 |
| 123× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 18 |
| 1 | 25 | 17 |
| 2 | 46 | 17 |
| 3 | 75 | 17 |
| 4 | 123 | 17 |
| 5 | 201 | 17 |
| 6 | 379 | 17 |
| 7 | 721 | 17 |
| 8 | 1279 | 17 |
| 9 | 2012 | 17 |
| 10 | 2697 | 17 |
| 11 | 2973 | 17 |
| 12 | 2989 | 17 |
| 13 | 2989 | 17 |
| 1× | saturated |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 0.1b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
Compiled 58 to 37 computations (36.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (log1p.f64 (neg.f64 y)) |
| ✓ | 0.0b | (*.f64 z (log1p.f64 (neg.f64 y))) |
| ✓ | 0.2b | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) |
18 calls:
| 124.0ms | (*.f64 z (log1p.f64 (neg.f64 y))) | z | 0 |
| 66.0ms | (*.f64 z (log1p.f64 (neg.f64 y))) | z | inf |
| 61.0ms | (*.f64 z (log1p.f64 (neg.f64 y))) | z | -inf |
| 26.0ms | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) | x | 0 |
| 22.0ms | (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) | z | 0 |
| 1× | batch-egg-rewrite |
| 678× | expm1-log1p-u_binary64 |
| 677× | log1p-expm1-u_binary64 |
| 280× | prod-diff_binary64 |
| 89× | add-sqr-sqrt_binary64 |
| 81× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 176 | 21 |
| 2 | 2123 | 21 |
| 1× | node limit |
| 1× | egg-herbie |
| 637× | fma-def_binary64 |
| 373× | associate--r+_binary64 |
| 334× | associate-+l+_binary64 |
| 281× | distribute-neg-in_binary64 |
| 222× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1270 |
| 1 | 431 | 1166 |
| 2 | 1409 | 1119 |
| 1× | node limit |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 6 | 128 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 122 | 7 | 129 |
| Status | Error | Program |
| ✓ | 0.1b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
| 32.5b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t) | |
| 39.6b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t) | |
| 39.2b | (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) t) | |
| 9.6b | (-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)) t) | |
| 0.7b | (-.f64 (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) t) | |
| ▶ | 0.1b | (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t) |
Compiled 2620 to 1308 computations (50.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (log1p.f64 (neg.f64 y)) | |
| ✓ | 0.0b | (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) |
| ✓ | 0.3b | (*.f64 (log.f64 y) x) |
15 calls:
| 60.0ms | (*.f64 (log.f64 y) x) | x | 0 |
| 48.0ms | (*.f64 (log.f64 y) x) | x | inf |
| 45.0ms | (*.f64 (log.f64 y) x) | x | -inf |
| 26.0ms | (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) | z | -inf |
| 24.0ms | (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) | z | 0 |
| 1× | batch-egg-rewrite |
| 678× | expm1-log1p-u_binary64 |
| 677× | log1p-expm1-u_binary64 |
| 280× | prod-diff_binary64 |
| 89× | add-sqr-sqrt_binary64 |
| 81× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 176 | 18 |
| 2 | 2122 | 18 |
| 1× | node limit |
| 1× | egg-herbie |
| 540× | fma-neg_binary64 |
| 384× | sub-neg_binary64 |
| 346× | distribute-rgt-in_binary64 |
| 313× | distribute-neg-in_binary64 |
| 286× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 751 |
| 1 | 230 | 708 |
| 2 | 719 | 621 |
| 3 | 2759 | 619 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 1 | 108 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 107 | 8 | 115 |
| Status | Error | Program |
| ✓ | 0.1b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
| 32.5b | (-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t) | |
| 39.6b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t) | |
| 24.7b | (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) t) | |
| 39.2b | (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) t) | |
| 9.6b | (-.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2)) t) | |
| ▶ | 0.7b | (-.f64 (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) t) |
| ✓ | 0.1b | (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t) |
Compiled 2191 to 1029 computations (53% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z)) |
| ✓ | 0.0b | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) |
| 0.3b | (*.f64 (log.f64 y) x) | |
| ✓ | 5.3b | (*.f64 (pow.f64 y 2) z) |
21 calls:
| 15.0ms | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) | x | -inf |
| 13.0ms | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) | z | 0 |
| 12.0ms | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) | x | 0 |
| 12.0ms | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) | x | inf |
| 10.0ms | (-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) | z | inf |
| 1× | batch-egg-rewrite |
| 268× | expm1-udef_binary64 |
| 268× | log1p-udef_binary64 |
| 150× | add-sqr-sqrt_binary64 |
| 145× | log1p-expm1-u_binary64 |
| 145× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 43 |
| 1 | 306 | 41 |
| 2 | 4134 | 41 |
| 1× | node limit |
| 1× | egg-herbie |
| 522× | fma-def_binary64 |
| 361× | fma-neg_binary64 |
| 281× | cancel-sign-sub-inv_binary64 |
| 228× | distribute-rgt-neg-in_binary64 |
| 197× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 412 |
| 1 | 101 | 369 |
| 2 | 267 | 353 |
| 3 | 887 | 353 |
| 4 | 3045 | 353 |
| 1× | node limit |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 3 | 139 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 140 | 7 | 147 |
| Status | Error | Program |
| 24.9b | (-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y z))) t) | |
| 39.6b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t) | |
| 19.8b | (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)) (/.f64 1 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))))) t) | |
| ✓ | 0.1b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
| 24.7b | (-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) t) | |
| 39.2b | (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) t) | |
| ▶ | 19.8b | (-.f64 (/.f64 1 (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)))) t) |
Compiled 3791 to 1785 computations (52.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (*.f64 (log.f64 y) x) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)))) |
| ✓ | 0.7b | (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)) |
| ✓ | 25.0b | (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2))) |
27 calls:
| 34.0ms | (/.f64 1 (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)))) | x | inf |
| 33.0ms | (/.f64 1 (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)))) | z | 0 |
| 31.0ms | (/.f64 1 (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)))) | x | -inf |
| 25.0ms | (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)) | x | -inf |
| 21.0ms | (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2))) 2)) | x | inf |
| 1× | batch-egg-rewrite |
| 200× | add-sqr-sqrt_binary64 |
| 198× | log1p-expm1-u_binary64 |
| 198× | expm1-log1p-u_binary64 |
| 195× | add-cbrt-cube_binary64 |
| 189× | add-cube-cbrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 126 |
| 1 | 421 | 113 |
| 1× | node limit |
| 1× | egg-herbie |
| 466× | times-frac_binary64 |
| 376× | associate-/l*_binary64 |
| 315× | associate-*r*_binary64 |
| 311× | associate-/r*_binary64 |
| 291× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 364 | 8693 |
| 1 | 1366 | 7734 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 5 | 216 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 215 | 8 | 223 |
| Status | Error | Program |
| ✓ | 0.1b | (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t) |
| 39.6b | (-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t) | |
| 39.2b | (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z (log1p.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 y)) (*.f64 x (log.f64 y))) (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (*.f64 (*.f64 x (log.f64 y)) (*.f64 z (log1p.f64 y)))))) t) | |
| 40.2b | (-.f64 (/.f64 1 (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 4) (pow.f64 (*.f64 z (fma.f64 y (*.f64 y 1/2) y)) 4)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (fma.f64 y (*.f64 y 1/2) y)) 2)))))) t) | |
| 20.0b | (-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (*.f64 z (fma.f64 y (*.f64 y 1/2) y)))) 2)) (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (fma.f64 y (*.f64 y 1/2) y)) 2)) (cbrt.f64 (fma.f64 (log.f64 y) x (*.f64 z (fma.f64 y (*.f64 y 1/2) y)))))) t) | |
| 19.8b | (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (*.f64 z (fma.f64 y (*.f64 y 1/2) y)) 2)) (/.f64 1 (fma.f64 (log.f64 y) x (*.f64 z (fma.f64 y (*.f64 y 1/2) y))))) t) | |
| 19.8b | (-.f64 (/.f64 1 (/.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 y (*.f64 (*.f64 y y) 1/2)))) (fma.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x) (neg.f64 (pow.f64 (*.f64 z (fma.f64 y (*.f64 y 1/2) y)) 2))))) t) | |
| 8.9b | (-.f64 (/.f64 1 (/.f64 1 (*.f64 (log.f64 y) x))) t) |
Compiled 13586 to 7982 computations (41.2% saved)
Total 0.1b remaining (44.1%)
Threshold costs 0.1b (44.1%)
Compiled 15116 to 9696 computations (35.9% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 17 |
| 1 | 18 | 17 |
| 2 | 23 | 17 |
| 3 | 26 | 17 |
| 4 | 27 | 17 |
| 1× | saturated |
| 1× | fuel |
Compiled 315 to 195 computations (38.1% saved)
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