Time bar (total: 8.1s)
| 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 |
| 25% | 74.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 43.7% | 56.2% | 0.1% | 8 |
| 62.4% | 37.4% | 0.1% | 9 |
| 65.5% | 34.3% | 0.1% | 10 |
| 71.8% | 27.7% | 0.5% | 11 |
| 79.2% | 19.7% | 1.1% | 12 |
| 80.2% | 18.7% | 1.1% | 13 |
| 82.8% | 15% | 2.2% | 14 |
Compiled 15 to 11 computations (26.7% saved)
(sort x y)
| 893.0ms | 8256× | body | 128 | valid |
| 65.0ms | 524× | body | 128 | invalid |
Compiled 44 to 32 computations (27.3% saved)
| 1× | egg-herbie |
| 44× | fma-def_binary64 |
| 37× | associate-*l*_binary64 |
| 36× | associate-*r*_binary64 |
| 20× | *-commutative_binary64 |
| 19× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 24 | 14 |
| 2 | 41 | 14 |
| 3 | 94 | 14 |
| 4 | 122 | 14 |
| 5 | 149 | 14 |
| 6 | 153 | 14 |
| 7 | 146 | 14 |
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 |
| ▶ | 7.3b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
Compiled 50 to 34 computations (32% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 3.3b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| ✓ | 4.5b | (*.f64 y (fma.f64 z z 1)) |
2 calls:
| 82.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 10.0ms | (*.f64 y (fma.f64 z z 1)) |
| 1× | rewrite-expression-head |
| 31× | times-frac_binary64 |
| 26× | add-exp-log_binary64 |
| 20× | add-sqr-sqrt_binary64 |
| 18× | *-un-lft-identity_binary64 |
| 18× | add-cube-cbrt_binary64 |
2 calls:
| 5.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 2.0ms | (*.f64 y (fma.f64 z z 1)) |
| 1× | egg-herbie |
| 469× | associate-/r*_binary64 |
| 451× | associate-*l*_binary64 |
| 414× | associate-/l*_binary64 |
| 336× | associate-/l/_binary64 |
| 296× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 2203 |
| 1 | 330 | 1967 |
| 2 | 1107 | 1965 |
| 3 | 3956 | 1963 |
| 4 | 4482 | 1963 |
| 5 | 4806 | 1963 |
| 6 | 4938 | 1963 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 9 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 113 | 10 | 123 |
| Status | Error | Program |
| 7.1b | (*.f64 (/.f64 1 y) (/.f64 1 (*.f64 (fma.f64 z z 1) x))) | |
| 20.9b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| ✓ | 7.3b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 27.2b | (cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) | |
| 8.0b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 7.1b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (fma.f64 z z 1))) | |
| 24.3b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (sqrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) | |
| 7.1b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| 7.3b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 y (hypot.f64 1 z)) (sqrt.f64 (fma.f64 z z 1)))) | |
| ▶ | 7.0b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
Compiled 2437 to 1522 computations (37.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (/.f64 1 x) y) |
| ✓ | 6.8b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
2 calls:
| 79.0ms | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 7.0ms | (/.f64 (/.f64 1 x) y) |
| 1× | rewrite-expression-head |
| 468× | times-frac_binary64 |
| 228× | *-un-lft-identity_binary64 |
| 228× | add-sqr-sqrt_binary64 |
| 228× | add-cube-cbrt_binary64 |
| 56× | associate-/l*_binary64 |
2 calls:
| 9.0ms | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 5.0ms | (/.f64 (/.f64 1 x) y) |
| 1× | egg-herbie |
| 603× | fma-def_binary64 |
| 536× | times-frac_binary64 |
| 385× | associate-*l*_binary64 |
| 378× | associate-/l/_binary64 |
| 368× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 8112 |
| 1 | 647 | 7481 |
| 2 | 1674 | 7473 |
| 3 | 3964 | 7471 |
| 4 | 4628 | 7471 |
| 5 | 4996 | 7471 |
| 6 | 4952 | 7471 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 8 | 383 |
| Fresh | 6 | 2 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 383 | 10 | 393 |
| Status | Error | Program |
| 7.3b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 z z 1)) (cbrt.f64 (fma.f64 z z 1)))) (/.f64 (/.f64 1 (*.f64 y x)) (cbrt.f64 (fma.f64 z z 1)))) | |
| 1.9b | (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 y)) (hypot.f64 1 z))) | |
| 7.1b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| 20.1b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (hypot.f64 1 z))) | |
| 18.7b | (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (sqrt.f64 y)) (hypot.f64 1 z)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 y)) (hypot.f64 1 z))) | |
| ▶ | 1.6b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
| 8.0b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 2.2b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) y) (hypot.f64 1 z))) | |
| 7.7b | (/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) y)) (cbrt.f64 (/.f64 (/.f64 1 x) y))) (/.f64 (fma.f64 z z 1) (cbrt.f64 (/.f64 (/.f64 1 x) y)))) | |
| 4.3b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) |
Compiled 9181 to 5431 computations (40.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 1 z)) |
| ✓ | 0.1b | (/.f64 (/.f64 1 (hypot.f64 1 z)) y) |
| ✓ | 0.1b | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| ✓ | 1.5b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
4 calls:
| 93.0ms | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
| 39.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 38.0ms | (/.f64 (/.f64 1 (hypot.f64 1 z)) y) |
| 3.0ms | (/.f64 1 (hypot.f64 1 z)) |
| 1× | rewrite-expression-head |
| 331× | times-frac_binary64 |
| 230× | add-sqr-sqrt_binary64 |
| 174× | *-un-lft-identity_binary64 |
| 166× | add-cube-cbrt_binary64 |
| 126× | add-exp-log_binary64 |
4 calls:
| 29.0ms | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
| 4.0ms | (/.f64 (/.f64 1 (hypot.f64 1 z)) y) |
| 4.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 2.0ms | (/.f64 1 (hypot.f64 1 z)) |
| 1× | egg-herbie |
| 566× | fma-def_binary64 |
| 473× | associate-/r/_binary64 |
| 364× | associate-*l/_binary64 |
| 357× | associate-*r/_binary64 |
| 277× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 393 | 9644 |
| 1 | 1070 | 8755 |
| 2 | 3229 | 8619 |
| 3 | 4511 | 8593 |
| 4 | 4930 | 8593 |
| 5 | 4967 | 8593 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 540 | 5 | 545 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 544 | 11 | 555 |
| Status | Error | Program |
| 8.0b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 2.4b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) 1) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z)))) | |
| 20.1b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (hypot.f64 1 z))) | |
| 25.1b | (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (*.f64 (hypot.f64 1 z) (*.f64 y (hypot.f64 1 z)))) 3)) | |
| 7.1b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| 1.9b | (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 y)) (hypot.f64 1 z))) | |
| 2.3b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 1 (hypot.f64 1 z)) (cbrt.f64 y)))) | |
| 2.2b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) y) (hypot.f64 1 z))) | |
| ▶ | 1.7b | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
| 4.3b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 1.8b | (*.f64 (/.f64 1 (*.f64 x (hypot.f64 1 z))) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
Compiled 14514 to 10562 computations (27.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 1 z) |
| ✓ | 0.0b | (*.f64 y (hypot.f64 1 z)) |
| 0.1b | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) | |
| ✓ | 1.7b | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
3 calls:
| 97.0ms | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
| 16.0ms | (*.f64 y (hypot.f64 1 z)) |
| 2.0ms | (hypot.f64 1 z) |
| 1× | rewrite-expression-head |
| 175× | times-frac_binary64 |
| 77× | add-sqr-sqrt_binary64 |
| 75× | *-un-lft-identity_binary64 |
| 75× | add-cube-cbrt_binary64 |
| 43× | associate-/l*_binary64 |
3 calls:
| 9.0ms | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
| 2.0ms | (*.f64 y (hypot.f64 1 z)) |
| 2.0ms | (hypot.f64 1 z) |
| 1× | egg-herbie |
| 805× | associate-/l*_binary64 |
| 575× | fma-def_binary64 |
| 472× | associate-*l/_binary64 |
| 439× | associate-/r/_binary64 |
| 229× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 4922 |
| 1 | 722 | 4369 |
| 2 | 2242 | 4049 |
| 3 | 4669 | 4045 |
| 4 | 4951 | 4045 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 0 | 416 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 416 | 11 | 427 |
| Status | Error | Program |
| 8.0b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (*.f64 y (fma.f64 z z 1)) (cbrt.f64 x))) | |
| 2.4b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) 1) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z)))) | |
| 20.1b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 y)) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 y)) (hypot.f64 1 z))) | |
| 25.1b | (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (*.f64 (hypot.f64 1 z) (*.f64 y (hypot.f64 1 z)))) 3)) | |
| 7.1b | (/.f64 1 (*.f64 y (*.f64 (+.f64 1 (pow.f64 z 2)) x))) | |
| 1.9b | (*.f64 (/.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 y)) (hypot.f64 1 z))) | |
| 2.3b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (/.f64 1 (hypot.f64 1 z)) (cbrt.f64 y)))) | |
| 2.2b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (hypot.f64 1 z)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) y) (hypot.f64 1 z))) | |
| ✓ | 1.7b | (/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (*.f64 y (hypot.f64 1 z))) |
| 4.3b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 1.8b | (*.f64 (/.f64 1 (*.f64 x (hypot.f64 1 z))) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
Compiled 9621 to 6655 computations (30.8% saved)
Total 1.3b remaining (98.2%)
Threshold costs 0b (0%)
Compiled 58278 to 42852 computations (26.5% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 18 | 35 |
| 2 | 17 | 35 |
Compiled 344 to 257 computations (25.3% saved)
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