Time bar (total: 3.8s)
| 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× | intervals |
| 24.0ms | 256× | body | 128 | valid |
Compiled 69 to 45 computations (34.8% 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 | (fma.f64 a -3 1) |
| ✓ | 0.1b | (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)) |
| ✓ | 0.1b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| ✓ | 1.0b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1× | rewrite-expression-head |
| 9× | add-cbrt-cube_binary64 |
| 9× | add-exp-log_binary64 |
| 9× | pow1_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 5× | fma-udef_binary64 |
4 calls:
| 5.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 0.0ms | (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)) |
| 0.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 0.0ms | (fma.f64 a -3 1) |
4 calls:
| 50.0ms | (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)) |
| 32.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 28.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 5.0ms | (fma.f64 a -3 1) |
| 1× | egg-herbie |
| 786× | fma-def_binary64 |
| 528× | fma-neg_binary64 |
| 415× | associate-+l+_binary64 |
| 313× | cancel-sign-sub-inv_binary64 |
| 229× | associate-+r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 2754 |
| 1 | 318 | 2352 |
| 2 | 969 | 2192 |
| 3 | 3184 | 2169 |
| 4 | 4818 | 2143 |
| 5 | 4983 | 2143 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 4 | 250 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 248 | 4 | 252 |
| Status | Error | Program |
| 0.1b | (+.f64 (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) (pow.f64 a 4)) -1) | |
| 15.1b | (+.f64 (cbrt.f64 (*.f64 (*.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)) (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))) (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) | |
| ▶ | 0.0b | (+.f64 (fma.f64 4 (+.f64 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1) |
| 9.3b | (+.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))) -1) |
Compiled 3780 to 2134 computations (43.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 a a (pow.f64 a 3)) |
| 0.0b | (fma.f64 a -3 1) | |
| ✓ | 0.1b | (fma.f64 4 (+.f64 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 1.0b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1× | rewrite-expression-head |
| 2× | *-un-lft-identity_binary64 |
| 2× | add-sqr-sqrt_binary64 |
| 2× | add-cube-cbrt_binary64 |
| 2× | add-cbrt-cube_binary64 |
| 2× | add-exp-log_binary64 |
2 calls:
| 0.0ms | (fma.f64 4 (+.f64 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 0.0ms | (fma.f64 a a (pow.f64 a 3)) |
2 calls:
| 42.0ms | (fma.f64 4 (+.f64 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) |
| 14.0ms | (fma.f64 a a (pow.f64 a 3)) |
| 1× | egg-herbie |
| 648× | fma-neg_binary64 |
| 620× | fma-def_binary64 |
| 488× | cancel-sign-sub-inv_binary64 |
| 474× | distribute-rgt-in_binary64 |
| 416× | associate-+l+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 1427 |
| 1 | 197 | 1274 |
| 2 | 606 | 1124 |
| 3 | 2511 | 1101 |
| 4 | 4955 | 1075 |
| 5 | 5284 | 1075 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 1 | 220 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 4 | 224 |
| Status | Error | Program |
| ▶ | 0.1b | (+.f64 (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) (pow.f64 a 4)) -1) |
| 15.1b | (+.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (pow.f64 (hypot.f64 a b) 4)) 3)) -1) | |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (+.f64 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1) |
| 9.3b | (+.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))) -1) |
Compiled 3369 to 2139 computations (36.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) (pow.f64 a 4)) |
| ✓ | 0.0b | (*.f64 a (fma.f64 a 2 -12)) |
| ✓ | 1.4b | (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12)))) |
| 1× | rewrite-expression-head |
| 11× | add-sqr-sqrt_binary64 |
| 11× | add-cbrt-cube_binary64 |
| 11× | add-exp-log_binary64 |
| 11× | pow1_binary64 |
| 10× | *-un-lft-identity_binary64 |
4 calls:
| 9.0ms | (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12)))) |
| 4.0ms | (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) (pow.f64 a 4)) |
| 3.0ms | (*.f64 a (fma.f64 a 2 -12)) |
| 0.0ms | (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) |
4 calls:
| 39.0ms | (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12)))) |
| 37.0ms | (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) (pow.f64 a 4)) |
| 30.0ms | (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 4) (*.f64 a (fma.f64 a 2 -12))))) |
| 9.0ms | (*.f64 a (fma.f64 a 2 -12)) |
| 1× | egg-herbie |
| 662× | fma-neg_binary64 |
| 633× | associate-+l+_binary64 |
| 400× | *-commutative_binary64 |
| 389× | associate-+r+_binary64 |
| 354× | exp-sum_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 4633 |
| 1 | 490 | 3460 |
| 2 | 1724 | 3385 |
| 3 | 3782 | 3385 |
| 4 | 5068 | 3385 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 1 | 293 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 294 | 3 | 297 |
| Status | Error | Program |
| ▶ | 0.0b | (+.f64 (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) (pow.f64 a 4)) -1) |
| 9.3b | (+.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))) -1) | |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (+.f64 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1) |
Compiled 6484 to 4269 computations (34.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) (pow.f64 a 4)) |
| ✓ | 0.1b | (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4)))) |
| ✓ | 0.1b | (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))) |
| 1× | rewrite-expression-head |
| 11× | add-cbrt-cube_binary64 |
| 11× | add-exp-log_binary64 |
| 11× | pow1_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
4 calls:
| 4.0ms | (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4)))) |
| 3.0ms | (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) (pow.f64 a 4)) |
| 3.0ms | (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))) |
| 0.0ms | (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) |
4 calls:
| 41.0ms | (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4)))) |
| 39.0ms | (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) |
| 37.0ms | (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) (pow.f64 a 4)) |
| 34.0ms | (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))) |
| 1× | egg-herbie |
| 526× | associate-+l+_binary64 |
| 457× | distribute-rgt-in_binary64 |
| 441× | fma-neg_binary64 |
| 440× | distribute-lft-in_binary64 |
| 260× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 5201 |
| 1 | 446 | 4521 |
| 2 | 1421 | 3742 |
| 3 | 4743 | 3742 |
| 4 | 5070 | 3742 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 0 | 293 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 293 | 3 | 296 |
| Status | Error | Program |
| ✓ | 0.0b | (+.f64 (+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a -12) (fma.f64 b b 4))))) (pow.f64 a 4)) -1) |
| 9.3b | (+.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (*.f64 4 (pow.f64 a 3)) (+.f64 (pow.f64 a 4) (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))))) -1) | |
| ✓ | 0.0b | (+.f64 (fma.f64 4 (+.f64 (fma.f64 a a (pow.f64 a 3)) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1) |
Compiled 5447 to 3618 computations (33.6% saved)
Total 0.0b remaining (45%)
Threshold costs 0.0b (45%)
Compiled 13051 to 9020 computations (30.9% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 34 |
| 1 | 23 | 34 |
| 2 | 22 | 34 |
Compiled 26 to 18 computations (30.8% saved)
| 1× | intervals |
| 737.0ms | 8000× | body | 128 | valid |
| 0.0ms | 4× | body | 128 | invalid |
Compiled 147 to 104 computations (29.3% saved)
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