Time bar (total: 10.0s)
| 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% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 1.8% | 98% | 0.2% | 10 |
| 7.7% | 92.1% | 0.2% | 11 |
| 10.4% | 89.4% | 0.2% | 12 |
| 12.1% | 87.7% | 0.2% | 13 |
| 21.4% | 78.3% | 0.4% | 14 |
Compiled 19 to 12 computations (36.8% saved)
| 916.0ms | 6992× | body | 128 | valid |
| 155.0ms | 1254× | body | 128 | invalid |
| 140.0ms | 473× | body | 512 | valid |
| 129.0ms | 356× | body | 1024 | valid |
| 79.0ms | 372× | body | 256 | valid |
| 27.0ms | 63× | body | 2048 | valid |
Compiled 56 to 35 computations (37.5% saved)
| 1× | egg-herbie |
| 753× | fma-def_binary64 |
| 696× | div-sub_binary64 |
| 242× | unsub-neg_binary64 |
| 211× | distribute-rgt-in_binary64 |
| 140× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 19 |
| 1 | 21 | 19 |
| 2 | 52 | 17 |
| 3 | 150 | 17 |
| 4 | 527 | 17 |
| 5 | 1709 | 17 |
| 6 | 4395 | 17 |
| 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 |
| 23.0b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) | |
| ▶ | 16.7b | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
Compiled 100 to 55 computations (45% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 t x) (-.f64 a z)) |
| ✓ | 16.6b | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
2 calls:
| 59.0ms | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
| 26.0ms | (/.f64 (-.f64 t x) (-.f64 a z)) |
| 1× | batch-egg-rewrite |
| 264× | fma-neg_binary64 |
| 254× | expm1-udef_binary64 |
| 254× | log1p-udef_binary64 |
| 138× | add-sqr-sqrt_binary64 |
| 133× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 257 | 27 |
| 2 | 3971 | 27 |
| 1× | node limit |
2 calls:
| 69.0ms | (/.f64 (-.f64 t x) (-.f64 a z)) |
| 69.0ms | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
| 1× | egg-herbie |
| 512× | cancel-sign-sub-inv_binary64 |
| 446× | sub-neg_binary64 |
| 349× | associate-+r+_binary64 |
| 269× | +-commutative_binary64 |
| 267× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 5085 |
| 1 | 840 | 5085 |
| 2 | 3617 | 5049 |
| 1× | node limit |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 10 | 142 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 10 | 144 |
| Status | Error | Program |
| 31.9b | (+.f64 (*.f64 (/.f64 y z) x) (+.f64 t (-.f64 (*.f64 (/.f64 a z) t) (+.f64 (/.f64 t (/.f64 z y)) (*.f64 (/.f64 a z) x))))) | |
| 17.2b | (fma.f64 (-.f64 y z) (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) x) | |
| 37.6b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) | |
| 39.2b | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) 2) | |
| 19.0b | (-.f64 (+.f64 (/.f64 (*.f64 z x) (-.f64 a z)) (+.f64 (/.f64 (*.f64 y t) (-.f64 a z)) x)) (+.f64 (/.f64 (*.f64 y x) (-.f64 a z)) (/.f64 (*.f64 t z) (-.f64 a z)))) | |
| 34.8b | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) | |
| 34.8b | (+.f64 x (fma.f64 (/.f64 z (-.f64 a z)) x (/.f64 (neg.f64 x) (/.f64 (-.f64 a z) y)))) | |
| 38.7b | (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (neg.f64 (*.f64 x x))) (-.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) x)) | |
| 44.0b | (*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))) | |
| ▶ | 15.1b | (+.f64 (*.f64 (/.f64 z (-.f64 a z)) x) (-.f64 (+.f64 x (/.f64 t (/.f64 (-.f64 a z) y))) (+.f64 (*.f64 (/.f64 t (-.f64 a z)) z) (*.f64 (/.f64 y (-.f64 a z)) x)))) |
Compiled 5058 to 1664 computations (67.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 2.5b | (*.f64 (/.f64 z (-.f64 a z)) x) |
| ✓ | 6.1b | (*.f64 (/.f64 y (-.f64 a z)) x) |
| ✓ | 6.2b | (/.f64 t (/.f64 (-.f64 a z) y)) |
| ✓ | 11.7b | (*.f64 (/.f64 t (-.f64 a z)) z) |
4 calls:
| 25.0ms | (/.f64 t (/.f64 (-.f64 a z) y)) |
| 24.0ms | (*.f64 (/.f64 y (-.f64 a z)) x) |
| 17.0ms | (*.f64 (/.f64 t (-.f64 a z)) z) |
| 16.0ms | (*.f64 (/.f64 z (-.f64 a z)) x) |
| 1× | batch-egg-rewrite |
| 172× | add-sqr-sqrt_binary64 |
| 160× | log1p-expm1-u_binary64 |
| 160× | expm1-log1p-u_binary64 |
| 159× | add-cbrt-cube_binary64 |
| 158× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 40 |
| 1 | 336 | 40 |
| 1× | node limit |
4 calls:
| 50.0ms | (*.f64 (/.f64 z (-.f64 a z)) x) |
| 50.0ms | (*.f64 (/.f64 y (-.f64 a z)) x) |
| 50.0ms | (/.f64 t (/.f64 (-.f64 a z) y)) |
| 50.0ms | (*.f64 (/.f64 t (-.f64 a z)) z) |
| 1× | egg-herbie |
| 849× | associate-/l*_binary64 |
| 819× | fma-def_binary64 |
| 268× | associate-/r/_binary64 |
| 197× | times-frac_binary64 |
| 150× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 3504 |
| 1 | 542 | 3504 |
| 2 | 2079 | 2934 |
| 1× | node limit |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 1 | 207 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 208 | 9 | 217 |
| Status | Error | Program |
| 31.9b | (+.f64 (*.f64 (/.f64 y z) x) (+.f64 t (-.f64 (*.f64 (/.f64 a z) t) (+.f64 (/.f64 t (/.f64 z y)) (*.f64 (/.f64 a z) x))))) | |
| ▶ | 17.2b | (fma.f64 (-.f64 y z) (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) x) |
| 37.6b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) | |
| 39.2b | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) 2) | |
| 34.8b | (+.f64 x (fma.f64 (/.f64 z (-.f64 a z)) x (/.f64 (neg.f64 x) (/.f64 (-.f64 a z) y)))) | |
| 28.8b | (+.f64 (*.f64 (/.f64 z (-.f64 a z)) x) (-.f64 (+.f64 x (/.f64 t (/.f64 (-.f64 a z) y))) (+.f64 (/.f64 (*.f64 t z) a) (*.f64 (/.f64 y (-.f64 a z)) x)))) | |
| 38.7b | (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (neg.f64 (*.f64 x x))) (-.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) x)) | |
| 44.0b | (*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))) | |
| ✓ | 15.1b | (+.f64 (*.f64 (/.f64 z (-.f64 a z)) x) (-.f64 (+.f64 x (/.f64 t (/.f64 (-.f64 a z) y))) (+.f64 (*.f64 (/.f64 t (-.f64 a z)) z) (*.f64 (/.f64 y (-.f64 a z)) x)))) |
Compiled 8752 to 1805 computations (79.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) |
| ✓ | 0.4b | (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) |
| ✓ | 16.6b | (fma.f64 (-.f64 y z) (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) x) |
| ✓ | 18.3b | (cbrt.f64 (/.f64 t (-.f64 a z))) |
4 calls:
| 459.0ms | (fma.f64 (-.f64 y z) (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) x) |
| 213.0ms | (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) |
| 87.0ms | (cbrt.f64 (/.f64 t (-.f64 a z))) |
| 82.0ms | (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) |
| 1× | batch-egg-rewrite |
| 286× | log1p-udef_binary64 |
| 169× | add-sqr-sqrt_binary64 |
| 160× | add-cbrt-cube_binary64 |
| 160× | log1p-expm1-u_binary64 |
| 160× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 64 |
| 1 | 332 | 60 |
| 2 | 4674 | 60 |
| 1× | node limit |
4 calls:
| 62.0ms | (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) |
| 62.0ms | (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) |
| 62.0ms | (fma.f64 (-.f64 y z) (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) x) |
| 62.0ms | (cbrt.f64 (/.f64 t (-.f64 a z))) |
| 1× | egg-herbie |
| 803× | fma-def_binary64 |
| 382× | times-frac_binary64 |
| 293× | *-commutative_binary64 |
| 229× | sqr-pow_binary64 |
| 219× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 868 | 8799 |
| 1 | 2915 | 8787 |
| 1× | node limit |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 1 | 299 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 298 | 10 | 308 |
| Status | Error | Program |
| 31.9b | (+.f64 (*.f64 (/.f64 y z) x) (+.f64 t (-.f64 (*.f64 (/.f64 a z) t) (+.f64 (/.f64 t (/.f64 z y)) (*.f64 (/.f64 a z) x))))) | |
| ✓ | 17.2b | (fma.f64 (-.f64 y z) (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) x) |
| 37.6b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) | |
| 39.2b | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) 2) | |
| 53.2b | (/.f64 (*.f64 x (-.f64 y a)) z) | |
| 34.8b | (+.f64 x (fma.f64 (/.f64 z (-.f64 a z)) x (/.f64 (neg.f64 x) (/.f64 (-.f64 a z) y)))) | |
| ▶ | 28.8b | (+.f64 (*.f64 (/.f64 z (-.f64 a z)) x) (-.f64 (+.f64 x (/.f64 t (/.f64 (-.f64 a z) y))) (+.f64 (/.f64 (*.f64 t z) a) (*.f64 (/.f64 y (-.f64 a z)) x)))) |
| 38.7b | (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (neg.f64 (*.f64 x x))) (-.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) x)) | |
| 44.0b | (*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))) | |
| ✓ | 15.1b | (+.f64 (*.f64 (/.f64 z (-.f64 a z)) x) (-.f64 (+.f64 x (/.f64 t (/.f64 (-.f64 a z) y))) (+.f64 (*.f64 (/.f64 t (-.f64 a z)) z) (*.f64 (/.f64 y (-.f64 a z)) x)))) |
Compiled 18020 to 8930 computations (50.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 2.5b | (*.f64 (/.f64 z (-.f64 a z)) x) | |
| ✓ | 4.5b | (/.f64 (*.f64 t z) a) |
| 6.1b | (*.f64 (/.f64 y (-.f64 a z)) x) | |
| 6.2b | (/.f64 t (/.f64 (-.f64 a z) y)) |
1 calls:
| 12.0ms | (/.f64 (*.f64 t z) a) |
| 1× | batch-egg-rewrite |
| 659× | log1p-expm1-u_binary64 |
| 659× | expm1-log1p-u_binary64 |
| 367× | log-prod_binary64 |
| 119× | expm1-udef_binary64 |
| 119× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 7 |
| 2 | 1745 | 7 |
| 1× | node limit |
1 calls:
| 39.0ms | (/.f64 (*.f64 t z) a) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 209 | 0 | 209 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 209 | 10 | 219 |
| Status | Error | Program |
| 31.9b | (+.f64 (*.f64 (/.f64 y z) x) (+.f64 t (-.f64 (*.f64 (/.f64 a z) t) (+.f64 (/.f64 t (/.f64 z y)) (*.f64 (/.f64 a z) x))))) | |
| ✓ | 17.2b | (fma.f64 (-.f64 y z) (fma.f64 (*.f64 (cbrt.f64 (/.f64 t (-.f64 a z))) (cbrt.f64 (/.f64 t (-.f64 a z)))) (cbrt.f64 (/.f64 t (-.f64 a z))) (neg.f64 (/.f64 x (-.f64 a z)))) x) |
| 37.6b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) | |
| 39.2b | (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) 2) | |
| 53.2b | (/.f64 (*.f64 x (-.f64 y a)) z) | |
| 34.8b | (+.f64 x (fma.f64 (/.f64 z (-.f64 a z)) x (/.f64 (neg.f64 x) (/.f64 (-.f64 a z) y)))) | |
| ✓ | 28.8b | (+.f64 (*.f64 (/.f64 z (-.f64 a z)) x) (-.f64 (+.f64 x (/.f64 t (/.f64 (-.f64 a z) y))) (+.f64 (/.f64 (*.f64 t z) a) (*.f64 (/.f64 y (-.f64 a z)) x)))) |
| 38.7b | (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) (neg.f64 (*.f64 x x))) (-.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) x)) | |
| 44.0b | (*.f64 y (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z)))) | |
| ✓ | 15.1b | (+.f64 (*.f64 (/.f64 z (-.f64 a z)) x) (-.f64 (+.f64 x (/.f64 t (/.f64 (-.f64 a z) y))) (+.f64 (*.f64 (/.f64 t (-.f64 a z)) z) (*.f64 (/.f64 y (-.f64 a z)) x)))) |
Compiled 8202 to 1692 computations (79.4% saved)
Total 6.7b remaining (97.8%)
Threshold costs 0b (0%)
Compiled 35676 to 19296 computations (45.9% saved)
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 29× | +-commutative_binary64 |
| 23× | *-commutative_binary64 |
| 21× | sub-neg_binary64 |
| 15× | neg-sub0_binary64 |
| 15× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 291 |
| 1 | 81 | 291 |
| 2 | 107 | 291 |
| 3 | 140 | 291 |
| 4 | 172 | 291 |
| 5 | 188 | 291 |
| 6 | 196 | 291 |
| 7 | 198 | 291 |
| 1× | saturated |
Compiled 690 to 241 computations (65.1% saved)
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