Time bar (total: 5.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 31.2% | 68.6% | 0.1% | 8 |
| 35.9% | 64% | 0.1% | 9 |
| 47.6% | 49.9% | 2.5% | 10 |
| 49.1% | 46.8% | 4% | 11 |
| 51.1% | 44.1% | 4.8% | 12 |
| 60.2% | 29.9% | 9.9% | 13 |
| 60.6% | 27.9% | 11.6% | 14 |
Compiled 15 to 10 computations (33.3% saved)
(sort x y)
| 939.0ms | 8256× | body | 128 | valid |
| 206.0ms | 1615× | body | 128 | invalid |
Compiled 44 to 29 computations (34.1% saved)
| 1× | egg-herbie |
| 826× | associate-*r/_binary64 |
| 769× | associate-/l/_binary64 |
| 660× | associate-*l/_binary64 |
| 522× | associate-/l*_binary64 |
| 421× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 30 | 16 |
| 2 | 78 | 14 |
| 3 | 195 | 14 |
| 4 | 314 | 14 |
| 5 | 383 | 14 |
| 6 | 426 | 14 |
| 7 | 631 | 14 |
| 8 | 1009 | 14 |
| 9 | 2204 | 14 |
| 10 | 2868 | 14 |
| 11 | 2967 | 14 |
| 12 | 3079 | 14 |
| 13 | 3193 | 14 |
| 14 | 3058 | 14 |
| 15 | 3712 | 14 |
| 16 | 4988 | 14 |
| 17 | 4824 | 14 |
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 |
| ▶ | 10.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 18.3b | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1))) |
Compiled 78 to 45 computations (42.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (/.f64 y (fma.f64 z z z)) z) |
| ✓ | 7.1b | (/.f64 y (fma.f64 z z z)) |
| ✓ | 8.9b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
3 calls:
| 104.0ms | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 56.0ms | (/.f64 (/.f64 y (fma.f64 z z z)) z) |
| 37.0ms | (/.f64 y (fma.f64 z z z)) |
| 1× | rewrite-expression-head |
| 153× | times-frac_binary64 |
| 98× | add-sqr-sqrt_binary64 |
| 89× | *-un-lft-identity_binary64 |
| 89× | add-cube-cbrt_binary64 |
| 43× | associate-*r*_binary64 |
3 calls:
| 10.0ms | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 4.0ms | (/.f64 (/.f64 y (fma.f64 z z z)) z) |
| 4.0ms | (/.f64 y (fma.f64 z z z)) |
| 1× | egg-herbie |
| 805× | fma-def_binary64 |
| 353× | fma-neg_binary64 |
| 351× | *-commutative_binary64 |
| 341× | associate-/r/_binary64 |
| 275× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 4846 |
| 1 | 687 | 4599 |
| 2 | 2304 | 4515 |
| 3 | 3607 | 4509 |
| 4 | 4817 | 4509 |
| 5 | 4963 | 4509 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 11 | 296 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 286 | 12 | 298 |
| Status | Error | Program |
| 5.6b | (*.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) (/.f64 1 z)) | |
| 19.9b | (*.f64 (*.f64 x (/.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z)) | |
| 18.3b | (*.f64 (*.f64 y x) (/.f64 (/.f64 1 (fma.f64 z z z)) z)) | |
| 17.1b | (*.f64 (*.f64 x (/.f64 (sqrt.f64 (/.f64 y (fma.f64 z z z))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (sqrt.f64 (/.f64 y (fma.f64 z z z))) (cbrt.f64 z))) | |
| 10.6b | (*.f64 x (/.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (fma.f64 z z z) (cbrt.f64 y))) z)) | |
| ▶ | 5.6b | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 28.0b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) | |
| 37.5b | (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 y z) (hypot.f64 z (sqrt.f64 z))))) | |
| 16.2b | (*.f64 x (*.f64 y (/.f64 1 (*.f64 z (fma.f64 z z z))))) | |
| 57.1b | (*.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z)))) | |
| ✓ | 10.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 10.3b | (*.f64 x (/.f64 1 (/.f64 z (/.f64 y (fma.f64 z z z))))) |
Compiled 6361 to 1474 computations (76.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 2.3b | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| ✓ | 3.7b | (*.f64 x (/.f64 y (fma.f64 z z z))) |
| 7.1b | (/.f64 y (fma.f64 z z z)) |
2 calls:
| 102.0ms | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 72.0ms | (*.f64 x (/.f64 y (fma.f64 z z z))) |
| 1× | rewrite-expression-head |
| 17× | add-sqr-sqrt_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 13× | associate-*r*_binary64 |
| 13× | times-frac_binary64 |
2 calls:
| 5.0ms | (*.f64 x (/.f64 y (fma.f64 z z z))) |
| 4.0ms | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 1× | egg-herbie |
| 604× | fma-neg_binary64 |
| 483× | associate-*l*_binary64 |
| 433× | associate-/r*_binary64 |
| 417× | associate-*r*_binary64 |
| 378× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 2289 |
| 1 | 397 | 2096 |
| 2 | 1539 | 1990 |
| 3 | 4439 | 1990 |
| 4 | 4968 | 1990 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 3 | 175 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 179 | 8 | 187 |
| Status | Error | Program |
| 11.7b | (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) | |
| 28.0b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) | |
| 37.5b | (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 y z) (hypot.f64 z (sqrt.f64 z))))) | |
| ▶ | 5.6b | (*.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) (/.f64 1 z)) |
| 16.2b | (*.f64 x (*.f64 y (/.f64 1 (*.f64 z (fma.f64 z z z))))) | |
| ✓ | 10.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 33.4b | (/.f64 (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z))))) z) | |
| 9.6b | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
Compiled 3187 to 888 computations (72.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 2.3b | (*.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) (/.f64 1 z)) |
| 3.7b | (*.f64 x (/.f64 y (fma.f64 z z z))) | |
| 7.1b | (/.f64 y (fma.f64 z z z)) |
1 calls:
| 104.0ms | (*.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) (/.f64 1 z)) |
| 1× | rewrite-expression-head |
| 40× | add-exp-log_binary64 |
| 22× | add-cbrt-cube_binary64 |
| 20× | prod-exp_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | cbrt-unprod_binary64 |
1 calls:
| 7.0ms | (*.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) (/.f64 1 z)) |
| 1× | egg-herbie |
| 798× | times-frac_binary64 |
| 611× | associate-*l/_binary64 |
| 545× | fma-def_binary64 |
| 504× | associate-/l*_binary64 |
| 299× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1588 |
| 1 | 310 | 1380 |
| 2 | 1083 | 1336 |
| 3 | 4465 | 1336 |
| 4 | 4967 | 1336 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 0 | 202 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 202 | 8 | 210 |
| Status | Error | Program |
| 11.7b | (/.f64 (/.f64 (*.f64 y x) (fma.f64 z z z)) z) | |
| 28.0b | (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) | |
| 37.5b | (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 y z) (hypot.f64 z (sqrt.f64 z))))) | |
| ✓ | 5.6b | (*.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) (/.f64 1 z)) |
| 16.2b | (*.f64 x (*.f64 y (/.f64 1 (*.f64 z (fma.f64 z z z))))) | |
| ✓ | 10.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 33.4b | (/.f64 (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z))))) z) | |
| ▶ | 9.6b | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
Compiled 4013 to 1383 computations (65.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 z (/.f64 y (fma.f64 z z z))) |
| 7.1b | (/.f64 y (fma.f64 z z z)) | |
| ✓ | 8.5b | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
2 calls:
| 105.0ms | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
| 18.0ms | (/.f64 z (/.f64 y (fma.f64 z z z))) |
| 1× | rewrite-expression-head |
| 471× | times-frac_binary64 |
| 229× | *-un-lft-identity_binary64 |
| 229× | add-sqr-sqrt_binary64 |
| 229× | add-cube-cbrt_binary64 |
| 57× | associate-/r*_binary64 |
2 calls:
| 9.0ms | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
| 4.0ms | (/.f64 z (/.f64 y (fma.f64 z z z))) |
| 1× | egg-herbie |
| 579× | associate-/r/_binary64 |
| 431× | associate-/l/_binary64 |
| 401× | fma-def_binary64 |
| 378× | associate-*l/_binary64 |
| 332× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 9126 |
| 1 | 1085 | 8731 |
| 2 | 4136 | 8600 |
| 3 | 4639 | 8600 |
| 4 | 4989 | 8600 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 535 | 4 | 539 |
| Fresh | 3 | 2 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 538 | 9 | 547 |
| Status | Error | Program |
| ✓ | 5.6b | (*.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) (/.f64 1 z)) |
| 33.0b | (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (*.f64 (/.f64 y (hypot.f64 z (sqrt.f64 z))) (/.f64 x z))) | |
| 6.0b | (/.f64 (/.f64 x (/.f64 z y)) (fma.f64 z z z)) | |
| 33.4b | (/.f64 (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z))))) z) | |
| 4.5b | (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) | |
| ✓ | 9.6b | (/.f64 x (/.f64 z (/.f64 y (fma.f64 z z z)))) |
| 37.5b | (*.f64 x (*.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 y z) (hypot.f64 z (sqrt.f64 z))))) | |
| ✓ | 10.2b | (*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
| 15.9b | (*.f64 y (/.f64 x (*.f64 z (fma.f64 z z z)))) |
Compiled 12414 to 2247 computations (81.9% saved)
Total 2.8b remaining (66.9%)
Threshold costs 0b (0%)
Compiled 14721 to 7642 computations (48.1% saved)
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 55 |
| 1 | 30 | 55 |
| 2 | 29 | 55 |
(sort x y)
Compiled 300 to 165 computations (45% saved)
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