Time bar (total: 6.8s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 68.7% | 6.3% | 6 |
| 25% | 56.2% | 18.8% | 7 |
| 25% | 48.4% | 26.6% | 8 |
| 25% | 35.1% | 39.9% | 9 |
| 28.1% | 18.3% | 53.6% | 10 |
| 31.6% | 12.3% | 56.1% | 11 |
| 33.4% | 5.9% | 60.8% | 12 |
| 35.2% | 3.8% | 61% | 13 |
| 36.1% | 2.9% | 61% | 14 |
Compiled 34 to 22 computations (35.3% saved)
| 1.3s | 8256× | body | 128 | valid |
| 1.0ms | 6× | body | 128 | invalid |
Compiled 101 to 65 computations (35.6% saved)
| 1× | egg-herbie |
| 725× | fma-def_binary64 |
| 669× | unsub-neg_binary64 |
| 596× | cancel-sign-sub-inv_binary64 |
| 340× | +-commutative_binary64 |
| 277× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 63 | 40 |
| 2 | 170 | 36 |
| 3 | 542 | 36 |
| 4 | 1867 | 32 |
| 5 | 3281 | 32 |
| 6 | 4881 | 32 |
| 7 | 4958 | 32 |
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 |
| 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1) | |
| ▶ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1) |
Compiled 172 to 108 computations (37.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (pow.f64 (hypot.f64 a b) 4) |
| ✓ | 0.0b | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| ✓ | 0.0b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| ✓ | 0.8b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
4 calls:
| 30.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 28.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 15.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 8.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1× | batch-egg-rewrite |
| 440× | prod-diff_binary64 |
| 320× | fma-udef_binary64 |
| 233× | expm1-udef_binary64 |
| 233× | log1p-udef_binary64 |
| 209× | log-pow_binary64 |
4 calls:
| 117.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 117.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 117.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 117.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 66 |
| 1 | 283 | 66 |
| 2 | 2972 | 66 |
| 3 | 4897 | 66 |
| 4 | 4993 | 66 |
| 5 | 4944 | 66 |
| 1× | egg-herbie |
| 668× | fma-def_binary64 |
| 562× | sub-neg_binary64 |
| 420× | fma-neg_binary64 |
| 418× | associate--l+_binary64 |
| 402× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 1987 |
| 1 | 200 | 1861 |
| 2 | 602 | 1583 |
| 3 | 2348 | 1560 |
| 4 | 4292 | 1560 |
| 5 | 4919 | 1560 |
| 6 | 5026 | 1560 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 2 | 137 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 137 | 2 | 139 |
| Status | Error | Program |
| ▶ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) -1) |
| 23.6b | (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) (-.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (pow.f64 (hypot.f64 b a) 4))) -1) |
Compiled 3920 to 2190 computations (44.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) |
| 0.0b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) | |
| 0.8b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) | |
| ✓ | 3.2b | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
2 calls:
| 30.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) |
| 10.0ms | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
| 1× | batch-egg-rewrite |
| 345× | log1p-udef_binary64 |
| 198× | add-sqr-sqrt_binary64 |
| 198× | log1p-expm1-u_binary64 |
| 198× | expm1-log1p-u_binary64 |
| 189× | add-log-exp_binary64 |
2 calls:
| 72.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) |
| 72.0ms | (*.f64 (pow.f64 a 2) (pow.f64 b 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 49 |
| 1 | 431 | 49 |
| 2 | 4624 | 49 |
| 3 | 5080 | 49 |
| 1× | egg-herbie |
| 609× | associate-*l*_binary64 |
| 550× | unswap-sqr_binary64 |
| 537× | fma-def_binary64 |
| 487× | cancel-sign-sub-inv_binary64 |
| 410× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 799 |
| 1 | 148 | 767 |
| 2 | 467 | 604 |
| 3 | 1978 | 581 |
| 4 | 4307 | 581 |
| 5 | 5402 | 581 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 0 | 125 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 125 | 2 | 127 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) -1) |
| ▶ | 23.6b | (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) (-.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (pow.f64 (hypot.f64 b a) 4))) -1) |
Compiled 4684 to 2992 computations (36.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) |
| 0.8b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) | |
| ✓ | 6.3b | (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) |
| ✓ | 35.5b | (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) (-.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (pow.f64 (hypot.f64 b a) 4))) |
3 calls:
| 200.0ms | (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) (-.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (pow.f64 (hypot.f64 b a) 4))) |
| 35.0ms | (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) |
| 29.0ms | (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) |
| 1× | batch-egg-rewrite |
| 766× | prod-diff_binary64 |
| 362× | egg-rr |
| 206× | add-sqr-sqrt_binary64 |
| 204× | log1p-expm1-u_binary64 |
| 204× | expm1-log1p-u_binary64 |
3 calls:
| 289.0ms | (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) |
| 289.0ms | (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) |
| 289.0ms | (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) (-.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (pow.f64 (hypot.f64 b a) 4))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 126 |
| 1 | 441 | 88 |
| 2 | 4611 | 88 |
| 3 | 6065 | 88 |
| 1× | egg-herbie |
| 797× | fma-def_binary64 |
| 412× | associate-/l*_binary64 |
| 372× | times-frac_binary64 |
| 252× | associate-/r*_binary64 |
| 195× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 565 | 8146 |
| 1 | 1916 | 7764 |
| 2 | 5107 | 7764 |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 526 | 0 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 526 | 2 | 528 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4)))) -1) |
| ✓ | 23.6b | (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4)) (pow.f64 (hypot.f64 b a) 8)) (-.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) 4) (pow.f64 (hypot.f64 b a) 4))) -1) |
Compiled 80454 to 43733 computations (45.6% saved)
Total 0.0b remaining (79.5%)
Threshold costs 0.0b (79.5%)
Compiled 37232 to 24541 computations (34.1% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 43 |
| 1 | 23 | 43 |
| 2 | 23 | 43 |
Compiled 167 to 108 computations (35.3% saved)
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