Time bar (total: 10.3s)
| 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)
| 1× | intervals |
(sort x y)
| 17.0ms | 256× | body | 128 | valid |
| 0.0ms | 11× | body | 128 | invalid |
Compiled 32 to 24 computations (25% 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 |
| ▶ | 7.1b | (/.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 |
| ✓ | 3.7b | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| ✓ | 4.1b | (*.f64 y (fma.f64 z z 1)) |
2 calls:
| 90.0ms | (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))) |
| 11.0ms | (*.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))) |
| 3.0ms | (*.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 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 7 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 7 | 123 |
| Status | Error | Program |
| 6.2b | (/.f64 1 (/.f64 y (/.f64 1 (*.f64 (fma.f64 z z 1) x)))) | |
| 6.2b | (/.f64 (/.f64 1 (*.f64 y x)) (fma.f64 z z 1)) | |
| ▶ | 6.1b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 6.4b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (fma.f64 z z 1))) | |
| 17.4b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| 40.1b | (cbrt.f64 (/.f64 (*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 1 x)) (*.f64 (*.f64 (*.f64 y (fma.f64 z z 1)) (*.f64 y (fma.f64 z z 1))) (*.f64 y (fma.f64 z z 1))))) | |
| 7.7b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1)))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) (cbrt.f64 (/.f64 (/.f64 1 x) (*.f64 y (fma.f64 z z 1))))) |
Compiled 2370 to 1475 computations (37.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (/.f64 1 x) y) |
| ✓ | 5.9b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
2 calls:
| 87.0ms | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 11.0ms | (/.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:
| 13.0ms | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 4.0ms | (/.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 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 7 | 383 |
| Fresh | 5 | 1 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 381 | 9 | 390 |
| Status | Error | Program |
| ✓ | 6.1b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 6.8b | (/.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 1 (*.f64 y x))))) | |
| 3.1b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 48.3b | (*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (hypot.f64 1 z)) (/.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) y) (hypot.f64 1 z))) | |
| 6.3b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (fma.f64 z z 1) (/.f64 (/.f64 1 x) (cbrt.f64 y)))) | |
| 2.2b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (hypot.f64 1 z)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) y) (hypot.f64 1 z))) | |
| 17.4b | (/.f64 (/.f64 1 x) (*.f64 (*.f64 (sqrt.f64 y) (hypot.f64 1 z)) (*.f64 (sqrt.f64 y) (hypot.f64 1 z)))) | |
| 2.1b | (*.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))) | |
| ▶ | 1.9b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
Compiled 9082 to 5368 computations (40.9% 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)) |
| ✓ | 1.9b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
4 calls:
| 102.0ms | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (/.f64 (/.f64 1 (hypot.f64 1 z)) y)) |
| 41.0ms | (/.f64 (/.f64 1 (hypot.f64 1 z)) y) |
| 41.0ms | (/.f64 (/.f64 1 x) (hypot.f64 1 z)) |
| 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:
| 39.0ms | (*.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 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 4 | 545 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 546 | 8 | 554 |
| Status | Error | Program |
| 2.2b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 (/.f64 1 x) (*.f64 y (hypot.f64 1 z))) (sqrt.f64 (hypot.f64 1 z)))) | |
| 3.7b | (pow.f64 (/.f64 (/.f64 1 x) (*.f64 (hypot.f64 1 z) (*.f64 y (hypot.f64 1 z)))) 1) | |
| 2.1b | (/.f64 (/.f64 (/.f64 1 x) (*.f64 y (hypot.f64 1 z))) (hypot.f64 1 z)) | |
| 3.1b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 6.3b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (fma.f64 z z 1) (/.f64 (/.f64 1 x) (cbrt.f64 y)))) | |
| ✓ | 6.1b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 23.6b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) 3))) | |
| ▶ | 2.1b | (*.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))) |
Compiled 14335 to 10439 computations (27.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.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))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| ✓ | 0.6b | (cbrt.f64 x) |
| ✓ | 1.3b | (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) y) (hypot.f64 1 z)) |
4 calls:
| 378.0ms | (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) y) (hypot.f64 1 z)) |
| 130.0ms | (*.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))) |
| 44.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 29.0ms | (cbrt.f64 x) |
| 1× | rewrite-expression-head |
| 1385× | times-frac_binary64 |
| 733× | add-sqr-sqrt_binary64 |
| 618× | *-un-lft-identity_binary64 |
| 603× | add-cube-cbrt_binary64 |
| 269× | add-exp-log_binary64 |
4 calls:
| 83.0ms | (*.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))) |
| 14.0ms | (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) y) (hypot.f64 1 z)) |
| 8.0ms | (*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
| 1.0ms | (cbrt.f64 x) |
| 1× | egg-herbie |
| 808× | associate-*l/_binary64 |
| 589× | associate-/l/_binary64 |
| 378× | associate-/l*_binary64 |
| 338× | associate-/r*_binary64 |
| 177× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 617 | 27964 |
| 1 | 1688 | 23072 |
| 2 | 4446 | 22700 |
| 3 | 4771 | 22700 |
| 4 | 4942 | 22700 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1137 | 0 | 1137 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 1137 | 8 | 1145 |
| Status | Error | Program |
| 2.2b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 z))) (/.f64 (/.f64 (/.f64 1 x) (*.f64 y (hypot.f64 1 z))) (sqrt.f64 (hypot.f64 1 z)))) | |
| 3.7b | (pow.f64 (/.f64 (/.f64 1 x) (*.f64 (hypot.f64 1 z) (*.f64 y (hypot.f64 1 z)))) 1) | |
| 2.1b | (/.f64 (/.f64 (/.f64 1 x) (*.f64 y (hypot.f64 1 z))) (hypot.f64 1 z)) | |
| 3.1b | (*.f64 (/.f64 1 (hypot.f64 1 z)) (/.f64 (/.f64 1 (*.f64 y x)) (hypot.f64 1 z))) | |
| 6.3b | (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (fma.f64 z z 1) (/.f64 (/.f64 1 x) (cbrt.f64 y)))) | |
| ✓ | 6.1b | (/.f64 (/.f64 (/.f64 1 x) y) (fma.f64 z z 1)) |
| 23.6b | (*.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 z)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 y) (hypot.f64 1 z)) 3))) | |
| ✓ | 2.1b | (*.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))) |
Compiled 41755 to 24698 computations (40.9% saved)
Total 0.4b remaining (90.5%)
Threshold costs 0.4b (90.5%)
Compiled 44590 to 32270 computations (27.6% saved)
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | unpow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 66 |
| 1 | 33 | 66 |
| 2 | 32 | 66 |
Compiled 141 to 102 computations (27.7% saved)
| 1× | intervals |
| 362.0ms | 8000× | body | 128 | valid |
| 18.0ms | 431× | body | 128 | invalid |
Compiled 222 to 164 computations (26.1% saved)
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