Time bar (total: 3.4s)
| 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% | 53.1% | 22% | 7 |
| 25% | 46.8% | 28.2% | 8 |
| 25% | 33.6% | 41.5% | 9 |
| 28.1% | 18% | 54% | 10 |
| 31.6% | 12.1% | 56.3% | 11 |
| 33.4% | 5.9% | 60.8% | 12 |
| 35.2% | 3.8% | 61% | 13 |
| 36.1% | 2.9% | 61% | 14 |
Compiled 32 to 20 computations (37.5% saved)
| 1.2s | 8256× | body | 128 | valid |
| 0.0ms | 3× | body | 128 | invalid |
Compiled 95 to 59 computations (37.9% saved)
| 1× | egg-herbie |
| 602× | fma-def_binary64 |
| 320× | +-commutative_binary64 |
| 277× | sub-neg_binary64 |
| 265× | associate-*l*_binary64 |
| 250× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 39 |
| 1 | 57 | 37 |
| 2 | 198 | 37 |
| 3 | 696 | 37 |
| 4 | 2292 | 33 |
| 5 | 4251 | 33 |
| 1× | node limit |
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 |
| ▶ | 0.0b | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| 0.1b | (-.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 3 a))))) 1) |
Compiled 166 to 105 computations (36.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| ✓ | 0.0b | (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) |
| ✓ | 0.0b | (*.f64 b (+.f64 a 3)) |
| ✓ | 0.1b | (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) |
4 calls:
| 26.0ms | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| 10.0ms | (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) |
| 8.0ms | (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) |
| 3.0ms | (*.f64 b (+.f64 a 3)) |
| 1× | batch-egg-rewrite |
| 302× | log1p-udef_binary64 |
| 173× | add-sqr-sqrt_binary64 |
| 171× | log1p-expm1-u_binary64 |
| 171× | expm1-log1p-u_binary64 |
| 169× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 74 |
| 1 | 361 | 74 |
| 2 | 4676 | 74 |
| 1× | node limit |
4 calls:
| 79.0ms | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| 79.0ms | (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) |
| 79.0ms | (*.f64 b (+.f64 a 3)) |
| 79.0ms | (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) |
| 1× | egg-herbie |
| 689× | fma-def_binary64 |
| 615× | fma-neg_binary64 |
| 505× | associate-+l+_binary64 |
| 340× | distribute-lft-out_binary64 |
| 327× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 1690 |
| 1 | 221 | 1566 |
| 2 | 769 | 1422 |
| 3 | 3764 | 1398 |
| 1× | node limit |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 2 | 164 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 162 | 4 | 166 |
| Status | Error | Program |
| 18.3b | (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) 4) 3) (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) -1) 3)) (+.f64 (*.f64 (*.f64 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) 4) (*.f64 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) 4)) (-.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) -1) 2) (*.f64 (*.f64 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) 4) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))))) | |
| ✓ | 0.0b | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| 13.3b | (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4)) (+.f64 1 (*.f64 4 (pow.f64 a 3)))) | |
| ▶ | 0.1b | (-.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 3 a))))) 1) |
Compiled 5024 to 3095 computations (38.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.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 3 a))))) |
| ✓ | 0.1b | (*.f64 (*.f64 a a) (-.f64 1 a)) |
| ✓ | 0.3b | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| ✓ | 0.7b | (*.f64 (*.f64 b b) (+.f64 3 a)) |
4 calls:
| 21.0ms | (+.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 3 a))))) |
| 10.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 7.0ms | (*.f64 (*.f64 b b) (+.f64 3 a)) |
| 2.0ms | (*.f64 (*.f64 a a) (-.f64 1 a)) |
| 1× | batch-egg-rewrite |
| 200× | log1p-expm1-u_binary64 |
| 200× | expm1-log1p-u_binary64 |
| 198× | add-sqr-sqrt_binary64 |
| 196× | add-cbrt-cube_binary64 |
| 189× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 67 |
| 1 | 420 | 63 |
| 1× | node limit |
4 calls:
| 38.0ms | (+.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 3 a))))) |
| 38.0ms | (*.f64 (*.f64 a a) (-.f64 1 a)) |
| 38.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 38.0ms | (*.f64 (*.f64 b b) (+.f64 3 a)) |
| 1× | egg-herbie |
| 698× | associate-*l*_binary64 |
| 571× | fma-def_binary64 |
| 392× | cancel-sign-sub-inv_binary64 |
| 359× | associate-+l+_binary64 |
| 312× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 1546 |
| 1 | 171 | 1502 |
| 2 | 585 | 1319 |
| 3 | 2713 | 1305 |
| 1× | node limit |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 2 | 128 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 129 | 3 | 132 |
| Status | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| 0.1b | (-.f64 (+.f64 (*.f64 b (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12)))) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))) 1) | |
| ▶ | 0.1b | (-.f64 (fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))))) 1) |
Compiled 4587 to 2808 computations (38.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 b (+.f64 3 a)) |
| ✓ | 0.1b | (*.f64 a (*.f64 a (-.f64 1 a))) |
| ✓ | 0.1b | (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))) |
| ✓ | 0.2b | (fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))))) |
4 calls:
| 36.0ms | (fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))))) |
| 9.0ms | (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))) |
| 4.0ms | (*.f64 b (+.f64 3 a)) |
| 2.0ms | (*.f64 a (*.f64 a (-.f64 1 a))) |
| 1× | batch-egg-rewrite |
| 725× | prod-diff_binary64 |
| 170× | add-sqr-sqrt_binary64 |
| 165× | log1p-expm1-u_binary64 |
| 165× | expm1-log1p-u_binary64 |
| 161× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 76 |
| 1 | 363 | 69 |
| 2 | 4412 | 69 |
| 1× | node limit |
4 calls:
| 62.0ms | (*.f64 b (+.f64 3 a)) |
| 62.0ms | (*.f64 a (*.f64 a (-.f64 1 a))) |
| 62.0ms | (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))) |
| 62.0ms | (fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))))) |
| 1× | egg-herbie |
| 700× | associate-*l*_binary64 |
| 637× | fma-def_binary64 |
| 430× | cancel-sign-sub-inv_binary64 |
| 376× | associate-+l+_binary64 |
| 342× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 1463 |
| 1 | 188 | 1375 |
| 2 | 642 | 1220 |
| 3 | 2908 | 1211 |
| 1× | node limit |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 0 | 137 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 137 | 3 | 140 |
| Status | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| ▶ | 0.1b | (-.f64 (+.f64 (*.f64 b (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12)))) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))) 1) |
| ✓ | 0.1b | (-.f64 (fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))))) 1) |
Compiled 4338 to 2660 computations (38.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 a (+.f64 a -4)) |
| ✓ | 0.1b | (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) |
| ✓ | 0.1b | (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12))) |
| ✓ | 0.2b | (*.f64 b (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12)))) |
4 calls:
| 16.0ms | (*.f64 b (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12)))) |
| 13.0ms | (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12))) |
| 4.0ms | (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) |
| 2.0ms | (*.f64 a (+.f64 a -4)) |
| 1× | batch-egg-rewrite |
| 218× | add-sqr-sqrt_binary64 |
| 212× | log1p-expm1-u_binary64 |
| 212× | expm1-log1p-u_binary64 |
| 211× | add-cbrt-cube_binary64 |
| 207× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 62 |
| 1 | 443 | 56 |
| 1× | node limit |
4 calls:
| 34.0ms | (*.f64 a (+.f64 a -4)) |
| 34.0ms | (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) |
| 34.0ms | (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12))) |
| 34.0ms | (*.f64 b (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12)))) |
| 1× | egg-herbie |
| 675× | unswap-sqr_binary64 |
| 643× | associate-*r*_binary64 |
| 377× | fma-def_binary64 |
| 316× | fma-neg_binary64 |
| 201× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 1429 |
| 1 | 152 | 1223 |
| 2 | 431 | 1054 |
| 3 | 1366 | 1033 |
| 4 | 3497 | 1033 |
| 1× | node limit |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 0 | 121 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 121 | 3 | 124 |
| Status | Error | Program |
| ✓ | 0.0b | (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1)) |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 b (*.f64 b (+.f64 (*.f64 a (+.f64 4 (*.f64 a 2))) (fma.f64 b b 12)))) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))) 1) |
| ✓ | 0.1b | (-.f64 (fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 4 (fma.f64 b (*.f64 b (+.f64 3 a)) (*.f64 a (*.f64 a (-.f64 1 a)))))) 1) |
Compiled 4013 to 2577 computations (35.8% saved)
Total 0.0b remaining (83.7%)
Threshold costs 0.0b (83.7%)
Compiled 13567 to 9514 computations (29.9% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 30 |
| 1 | 19 | 30 |
| 2 | 23 | 30 |
| 3 | 25 | 30 |
| 4 | 26 | 30 |
| 1× | saturated |
Compiled 134 to 91 computations (32.1% saved)
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