Time bar (total: 7.6s)
| 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% | 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 |
| 10.0ms | 158× | 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 |
| 19.3b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| ▶ | 10.7b | (/.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 |
| ✓ | 0.0b | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| ✓ | 0.1b | (fma.f64 x (*.f64 9 y) b) |
| ✓ | 2.2b | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| ✓ | 8.0b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
4 calls:
| 77.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
| 39.0ms | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| 21.0ms | (/.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 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 12 | 171 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 13 | 173 |
| Status | Error | Program |
| 32.1b | (/.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))))) | |
| 11.8b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 c))) | |
| 11.2b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))) c) | |
| 10.8b | (/.f64 1 (/.f64 c (fma.f64 a (*.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z)))) | |
| 11.4b | (*.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))) | |
| 11.5b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) c)) | |
| 47.2b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 41.4b | (/.f64 b (*.f64 c z)) | |
| 11.5b | (/.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c)) | |
| 19.3b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 38.6b | (/.f64 (*.f64 -4 (*.f64 a t)) c) | |
| 10.8b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c) | |
| ▶ | 10.3b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) |
Compiled 4652 to 2540 computations (45.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) |
| ✓ | 4.0b | (/.f64 b (*.f64 c z)) |
| ✓ | 5.1b | (/.f64 (*.f64 a t) c) |
| ✓ | 9.6b | (/.f64 (*.f64 y x) (*.f64 c z)) |
4 calls:
| 31.0ms | (/.f64 (*.f64 y x) (*.f64 c z)) |
| 29.0ms | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) |
| 15.0ms | (/.f64 b (*.f64 c z)) |
| 12.0ms | (/.f64 (*.f64 a t) c) |
| 1× | rewrite-expression-head |
| 44× | add-cbrt-cube_binary64 |
| 44× | add-exp-log_binary64 |
| 15× | cbrt-unprod_binary64 |
| 15× | prod-exp_binary64 |
| 12× | add-sqr-sqrt_binary64 |
4 calls:
| 6.0ms | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) |
| 5.0ms | (/.f64 (*.f64 a t) c) |
| 4.0ms | (/.f64 (*.f64 y x) (*.f64 c z)) |
| 3.0ms | (/.f64 b (*.f64 c z)) |
| 1× | egg-herbie |
| 613× | associate-/r/_binary64 |
| 459× | associate-/l/_binary64 |
| 441× | *-commutative_binary64 |
| 280× | times-frac_binary64 |
| 243× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 1507 |
| 1 | 401 | 1168 |
| 2 | 1699 | 1168 |
| 3 | 3246 | 1168 |
| 4 | 4452 | 1168 |
| 5 | 4942 | 1168 |
| 6 | 5011 | 1168 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 8 | 127 |
| Fresh | 9 | 3 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 129 | 11 | 140 |
| Status | Error | Program |
| 10.8b | (/.f64 1 (/.f64 c (fma.f64 a (*.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z)))) | |
| 8.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 a (/.f64 t c)))) | |
| 11.6b | (-.f64 (+.f64 (/.f64 (/.f64 b c) z) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 9.6b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 x (/.f64 y c)) z))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 10.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y c) (/.f64 x z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| ▶ | 8.4b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 a (/.f64 c t)))) |
| 38.4b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (/.f64 a (sqrt.f64 c)) (/.f64 t (sqrt.f64 c))))) | |
| 19.3b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 10.8b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c) | |
| 41.8b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (cbrt.f64 (*.f64 (*.f64 (*.f64 9 9) 9) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 c z) (*.f64 c z)) (*.f64 c z)))))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 10.3b | (-.f64 (+.f64 (*.f64 b (/.f64 1 (*.f64 c z))) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) |
Compiled 4372 to 1587 computations (63.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 4.0b | (/.f64 b (*.f64 c z)) | |
| ✓ | 4.2b | (/.f64 a (/.f64 c t)) |
| 9.6b | (/.f64 (*.f64 y x) (*.f64 c z)) |
1 calls:
| 12.0ms | (/.f64 a (/.f64 c t)) |
| 1× | rewrite-expression-head |
| 75× | times-frac_binary64 |
| 43× | *-un-lft-identity_binary64 |
| 43× | add-sqr-sqrt_binary64 |
| 43× | add-cube-cbrt_binary64 |
| 13× | associate-/r*_binary64 |
1 calls:
| 4.0ms | (/.f64 a (/.f64 c t)) |
| 1× | egg-herbie |
| 1089× | associate-/r/_binary64 |
| 835× | fma-def_binary64 |
| 611× | fma-neg_binary64 |
| 460× | distribute-rgt-in_binary64 |
| 452× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1514 |
| 1 | 310 | 1454 |
| 2 | 924 | 1451 |
| 3 | 2212 | 1451 |
| 4 | 2356 | 1451 |
| 5 | 2544 | 1451 |
| 6 | 2955 | 1451 |
| 7 | 3895 | 1451 |
| 8 | 4379 | 1451 |
| 9 | 5031 | 1451 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 1 | 213 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 215 | 9 | 224 |
| Status | Error | Program |
| 10.8b | (/.f64 1 (/.f64 c (fma.f64 a (*.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z)))) | |
| ▶ | 8.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 a (/.f64 t c)))) |
| 11.6b | (-.f64 (+.f64 (/.f64 (/.f64 b c) z) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 9.6b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 x (/.f64 y c)) z))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 19.3b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 10.8b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c) | |
| 10.3b | (-.f64 (+.f64 (*.f64 b (/.f64 1 (*.f64 c z))) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 9.4b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 y (/.f64 c (/.f64 x z))))) (*.f64 4 (/.f64 a (/.f64 c t)))) | |
| 38.4b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (/.f64 a (sqrt.f64 c)) (/.f64 t (sqrt.f64 c))))) |
Compiled 7021 to 2294 computations (67.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 4.0b | (/.f64 b (*.f64 c z)) | |
| ✓ | 4.2b | (*.f64 a (/.f64 t c)) |
| 9.6b | (/.f64 (*.f64 y x) (*.f64 c z)) |
1 calls:
| 14.0ms | (*.f64 a (/.f64 t c)) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 9× | *-un-lft-identity_binary64 |
| 9× | add-cube-cbrt_binary64 |
1 calls:
| 5.0ms | (*.f64 a (/.f64 t c)) |
| 1× | egg-herbie |
| 659× | sqr-pow_binary64 |
| 442× | pow-sqr_binary64 |
| 432× | associate-/l/_binary64 |
| 370× | fabs-mul_binary64 |
| 317× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 642 |
| 1 | 162 | 597 |
| 2 | 524 | 597 |
| 3 | 1383 | 597 |
| 4 | 2291 | 597 |
| 5 | 2423 | 597 |
| 6 | 2658 | 597 |
| 7 | 2981 | 597 |
| 8 | 3416 | 597 |
| 9 | 4100 | 597 |
| 10 | 5278 | 597 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 0 | 147 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 9 | 156 |
| Status | Error | Program |
| 10.8b | (/.f64 1 (/.f64 c (fma.f64 a (*.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z)))) | |
| ✓ | 8.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 a (/.f64 t c)))) |
| 11.6b | (-.f64 (+.f64 (/.f64 (/.f64 b c) z) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 9.6b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 x (/.f64 y c)) z))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 19.3b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 10.8b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c) | |
| 10.3b | (-.f64 (+.f64 (*.f64 b (/.f64 1 (*.f64 c z))) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 9.4b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 y (/.f64 c (/.f64 x z))))) (*.f64 4 (/.f64 a (/.f64 c t)))) | |
| 38.4b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (/.f64 a (sqrt.f64 c)) (/.f64 t (sqrt.f64 c))))) |
Compiled 4567 to 1502 computations (67.1% saved)
Total 4.9b remaining (98.3%)
Threshold costs 0b (0%)
Compiled 26724 to 17468 computations (34.6% saved)
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
| 21× | *-commutative_binary64 |
| 15× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 8× | distribute-rgt-neg-in_binary64 |
| 8× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 218 |
| 1 | 81 | 218 |
| 2 | 103 | 218 |
| 3 | 123 | 218 |
| 4 | 136 | 218 |
| 5 | 142 | 218 |
| 6 | 143 | 218 |
| 7 | 142 | 218 |
(sort t a)
(sort x y)
Compiled 770 to 430 computations (44.2% saved)
| 1× | intervals |
| 532.0ms | 8000× | body | 128 | valid |
| 304.0ms | 4721× | body | 128 | invalid |
Compiled 448 to 285 computations (36.4% saved)
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