Time bar (total: 12.8s)
| 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% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 0% | 99.7% | 0.3% | 13 |
| 0% | 99.7% | 0.3% | 14 |
Compiled 27 to 19 computations (29.6% saved)
| 1× | intervals |
(sort x y)
(sort t a)
| 19.0ms | 256× | body | 128 | valid |
| 11.0ms | 165× | body | 128 | invalid |
Compiled 60 to 44 computations (26.7% saved)
| 1× | egg-herbie |
| 828× | fma-def_binary64 |
| 568× | div-sub_binary64 |
| 502× | associate-/r/_binary64 |
| 476× | distribute-neg-frac_binary64 |
| 465× | cancel-sign-sub-inv_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 28 |
| 1 | 42 | 28 |
| 2 | 116 | 24 |
| 3 | 352 | 24 |
| 4 | 880 | 23 |
| 5 | 2041 | 21 |
| 6 | 4154 | 21 |
| 7 | 4365 | 21 |
| 8 | 4941 | 21 |
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 |
| 20.7b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| ▶ | 11.3b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
Compiled 137 to 92 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| ✓ | 0.4b | (fma.f64 x (*.f64 9 y) b) |
| ✓ | 2.2b | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| ✓ | 8.2b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
4 calls:
| 83.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
| 37.0ms | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| 20.0ms | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| 6.0ms | (fma.f64 x (*.f64 9 y) b) |
| 1× | rewrite-expression-head |
| 20× | *-un-lft-identity_binary64 |
| 20× | add-sqr-sqrt_binary64 |
| 20× | add-cube-cbrt_binary64 |
| 18× | times-frac_binary64 |
| 8× | add-cbrt-cube_binary64 |
4 calls:
| 2.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
| 2.0ms | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| 0.0ms | (fma.f64 x (*.f64 9 y) b) |
| 0.0ms | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| 1× | egg-herbie |
| 913× | div-sub_binary64 |
| 630× | fma-def_binary64 |
| 477× | fma-neg_binary64 |
| 332× | associate-/l/_binary64 |
| 274× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 6685 |
| 1 | 296 | 6160 |
| 2 | 725 | 5908 |
| 3 | 1995 | 5341 |
| 4 | 4278 | 5341 |
| 5 | 6463 | 5341 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 11 | 171 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 161 | 12 | 173 |
| Status | Error | Program |
| 43.9b | (/.f64 b (*.f64 c z)) | |
| 35.9b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c))) | |
| 39.9b | (/.f64 (*.f64 -4 (*.f64 a t)) c) | |
| 35.9b | (/.f64 (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (/.f64 c (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))))) | |
| ▶ | 11.4b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) |
| 11.7b | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) | |
| 20.7b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 46.8b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 24.1b | (/.f64 (fma.f64 (*.f64 a t) -4 (/.f64 b z)) c) | |
| 12.1b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) | |
| 11.7b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) c) | |
| 31.5b | (/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c) |
Compiled 4484 to 2442 computations (45.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) | |
| 0.4b | (fma.f64 x (*.f64 9 y) b) | |
| 2.2b | (/.f64 (fma.f64 x (*.f64 9 y) b) z) | |
| ✓ | 8.3b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) |
1 calls:
| 87.0ms | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) |
| 1× | rewrite-expression-head |
| 16× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 11× | times-frac_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-exp-log_binary64 |
1 calls:
| 5.0ms | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) |
| 1× | egg-herbie |
| 893× | fma-def_binary64 |
| 740× | distribute-rgt-in_binary64 |
| 236× | associate-*l*_binary64 |
| 202× | associate-*r*_binary64 |
| 162× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 3557 |
| 1 | 231 | 3078 |
| 2 | 599 | 2942 |
| 3 | 1901 | 2744 |
| 4 | 5182 | 2744 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 180 | 1 | 181 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 11 | 193 |
| Status | Error | Program |
| 24.1b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 b z)) (/.f64 1 c)) | |
| 39.9b | (/.f64 (*.f64 -4 (*.f64 a t)) c) | |
| 43.9b | (/.f64 b (*.f64 c z)) | |
| 35.9b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c))) | |
| 35.9b | (/.f64 (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (/.f64 c (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))))) | |
| ▶ | 11.7b | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) |
| 20.7b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 46.8b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 12.1b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) | |
| 11.7b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) c) | |
| 31.5b | (/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c) |
Compiled 4817 to 2784 computations (42.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.4b | (fma.f64 x (*.f64 9 y) b) | |
| ✓ | 0.6b | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) |
| 2.2b | (/.f64 (fma.f64 x (*.f64 9 y) b) z) | |
| ✓ | 8.2b | (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) |
2 calls:
| 311.0ms | (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) |
| 82.0ms | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) |
| 1× | rewrite-expression-head |
| 84× | times-frac_binary64 |
| 52× | *-un-lft-identity_binary64 |
| 52× | add-sqr-sqrt_binary64 |
| 52× | add-cube-cbrt_binary64 |
| 16× | associate-/r*_binary64 |
2 calls:
| 4.0ms | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) |
| 2.0ms | (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) |
| 1× | egg-herbie |
| 795× | times-frac_binary64 |
| 466× | associate-/r*_binary64 |
| 436× | associate-/l*_binary64 |
| 295× | fma-def_binary64 |
| 167× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 532 | 14808 |
| 1 | 1616 | 14085 |
| 2 | 5455 | 14085 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 288 | 2 | 290 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 289 | 12 | 301 |
| Status | Error | Program |
| 24.1b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 b z)) (/.f64 1 c)) | |
| 39.9b | (/.f64 (*.f64 -4 (*.f64 a t)) c) | |
| 31.5b | (/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c) | |
| 44.0b | (/.f64 1 (/.f64 (*.f64 c z) b)) | |
| 35.9b | (/.f64 (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (/.f64 c (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))))) | |
| 24.4b | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 b z)))) | |
| ✓ | 11.7b | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) |
| 35.9b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c))) | |
| 20.7b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 46.8b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 12.1b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) | |
| ▶ | 11.7b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) c) |
Compiled 12583 to 7146 computations (43.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) |
| 2.2b | (/.f64 (fma.f64 x (*.f64 9 y) b) z) | |
| ✓ | 8.2b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) c) |
| ✓ | 8.9b | (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
3 calls:
| 528.0ms | (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) |
| 455.0ms | (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| 98.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) c) |
| 1× | rewrite-expression-head |
| 77× | cbrt-prod_binary64 |
| 74× | add-sqr-sqrt_binary64 |
| 60× | times-frac_binary64 |
| 50× | *-un-lft-identity_binary64 |
| 50× | add-cube-cbrt_binary64 |
3 calls:
| 11.0ms | (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) |
| 2.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) c) |
| 2.0ms | (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| 1× | egg-herbie |
| 360× | times-frac_binary64 |
| 358× | associate-*l*_binary64 |
| 341× | associate-/r*_binary64 |
| 295× | associate-/l*_binary64 |
| 202× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 625 | 13014 |
| 1 | 1764 | 12273 |
| 2 | 5069 | 12273 |
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 770 | 1 | 771 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 770 | 13 | 783 |
| Status | Error | Program |
| 24.1b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 b z)) (/.f64 1 c)) | |
| 39.9b | (/.f64 (*.f64 -4 (*.f64 a t)) c) | |
| 31.5b | (/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c) | |
| 44.0b | (/.f64 1 (/.f64 (*.f64 c z) b)) | |
| 35.9b | (/.f64 (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (/.f64 c (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))))) | |
| 24.4b | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 b z)))) | |
| ✓ | 11.7b | (/.f64 1 (/.f64 c (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) |
| 32.0b | (/.f64 (fma.f64 9 (*.f64 (/.f64 y z) x) (/.f64 b z)) c) | |
| 35.9b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c))) | |
| 20.7b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 46.8b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 12.1b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 c))) | |
| ✓ | 11.7b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) c) |
Compiled 42385 to 25534 computations (39.8% saved)
Total 2.1b remaining (33.6%)
Threshold costs 0b (0%)
Compiled 53976 to 37224 computations (31% saved)
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | distribute-rgt-neg-in_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 254 |
| 1 | 69 | 254 |
| 2 | 84 | 254 |
| 3 | 100 | 254 |
| 4 | 110 | 254 |
| 5 | 115 | 254 |
| 6 | 116 | 254 |
| 7 | 114 | 254 |
(sort x y)
Compiled 1253 to 742 computations (40.8% saved)
| 1× | intervals |
| 579.0ms | 8000× | body | 128 | valid |
| 355.0ms | 4785× | body | 128 | invalid |
Compiled 535 to 354 computations (33.8% saved)
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