Time bar (total: 3.5s)
| 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 |
| 20.0ms | 256× | body | 128 | valid |
| 0.0ms | 1× | body | 128 | invalid |
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 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| 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 141 to 90 computations (36.2% saved)
Found 4 expressions with local error:
| 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)) |
| 0.1b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 0.5b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1× | rewrite-expression-head |
| 10× | add-exp-log_binary64 |
| 10× | pow1_binary64 |
| 9× | add-cbrt-cube_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 7× | *-un-lft-identity_binary64 |
4 calls:
| 5.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 2.0ms | (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 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)) |
Compiled 1858 to 960 computations (48.3% saved)
4 calls:
| 98.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 62.0ms | (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)) |
| 25.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 18.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
Compiled 2878 to 2121 computations (26.3% saved)
| 1× | egg-herbie |
| 543× | associate-+r+_binary64 |
| 533× | fma-neg_binary64 |
| 304× | +-commutative_binary64 |
| 248× | associate--l+_binary64 |
| 219× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 3170 |
| 1 | 464 | 2904 |
| 2 | 1349 | 2838 |
| 3 | 3329 | 2816 |
| 4 | 4845 | 2816 |
| 5 | 4956 | 2816 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 3 | 104 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 4 | 106 |
| Status | Error | Program |
| 12.4b | (+.f64 -1 (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b)))))) | |
| 13.2b | (fma.f64 (*.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))) -1) | |
| ▶ | 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) -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 1660 to 878 computations (47.1% saved)
Found 4 expressions with local error:
| 0.0b | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) |
| 0.1b | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 0.3b | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 0.5b | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 1× | rewrite-expression-head |
| 10× | add-exp-log_binary64 |
| 10× | pow1_binary64 |
| 9× | add-cbrt-cube_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 7× | *-un-lft-identity_binary64 |
4 calls:
| 5.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
| 4.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 0.0ms | (fma.f64 a (fma.f64 a a a) (*.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 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) |
Compiled 2154 to 956 computations (55.6% saved)
4 calls:
| 53.0ms | (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) |
| 37.0ms | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) |
| 23.0ms | (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) |
| 19.0ms | (*.f64 (*.f64 b b) (fma.f64 a -3 1)) |
Compiled 3038 to 2184 computations (28.1% saved)
| 1× | egg-herbie |
| 598× | associate-+r+_binary64 |
| 442× | fma-neg_binary64 |
| 437× | unswap-sqr_binary64 |
| 304× | +-commutative_binary64 |
| 247× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 3343 |
| 1 | 470 | 3037 |
| 2 | 1365 | 2854 |
| 3 | 3554 | 2832 |
| 4 | 5072 | 2832 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 0 | 108 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 108 | 4 | 112 |
| Status | Error | Program |
| ▶ | 12.4b | (+.f64 -1 (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b)))))) |
| 13.2b | (fma.f64 (*.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))) -1) | |
| ✓ | 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) -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 1861 to 950 computations (49% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 2 (*.f64 b b)) |
| 0.0b | (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b))))) |
| 0.1b | (*.f64 (pow.f64 a 3) (+.f64 4 a)) |
| 1.3b | (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b)))) |
| 1× | rewrite-expression-head |
| 19× | add-sqr-sqrt_binary64 |
| 19× | add-exp-log_binary64 |
| 16× | associate-*l*_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 14× | pow1_binary64 |
4 calls:
| 9.0ms | (*.f64 (pow.f64 a 3) (+.f64 4 a)) |
| 7.0ms | (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b))))) |
| 6.0ms | (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b)))) |
| 5.0ms | (*.f64 2 (*.f64 b b)) |
Compiled 2990 to 1913 computations (36% saved)
4 calls:
| 46.0ms | (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b))))) |
| 23.0ms | (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b)))) |
| 10.0ms | (*.f64 (pow.f64 a 3) (+.f64 4 a)) |
| 7.0ms | (*.f64 2 (*.f64 b b)) |
Compiled 1448 to 1162 computations (19.8% saved)
| 1× | egg-herbie |
| 433× | associate-*l*_binary64 |
| 362× | fma-neg_binary64 |
| 339× | associate-*r*_binary64 |
| 338× | cancel-sign-sub-inv_binary64 |
| 323× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 2904 |
| 1 | 636 | 2637 |
| 2 | 2964 | 2619 |
| 3 | 4765 | 2595 |
| 4 | 4751 | 2595 |
| 5 | 4983 | 2595 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 0 | 114 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 114 | 4 | 118 |
| Status | Error | Program |
| ✓ | 12.4b | (+.f64 -1 (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b)))))) |
| ▶ | 13.2b | (fma.f64 (*.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))) -1) |
| ✓ | 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) -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 1996 to 1271 computations (36.3% saved)
Found 3 expressions with local error:
| 0.0b | (fma.f64 b b (*.f64 a -12)) |
| 0.0b | (+.f64 4 (fma.f64 b b (*.f64 a -12))) |
| 0.1b | (fma.f64 (*.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))) -1) |
| 1× | rewrite-expression-head |
| 6× | *-un-lft-identity_binary64 |
| 5× | add-log-exp_binary64 |
| 4× | add-sqr-sqrt_binary64 |
| 4× | add-cube-cbrt_binary64 |
| 3× | fma-def_binary64 |
3 calls:
| 2.0ms | (+.f64 4 (fma.f64 b b (*.f64 a -12))) |
| 0.0ms | (fma.f64 (*.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))) -1) |
| 0.0ms | (fma.f64 b b (*.f64 a -12)) |
Compiled 752 to 454 computations (39.6% saved)
3 calls:
| 46.0ms | (fma.f64 (*.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))) -1) |
| 18.0ms | (+.f64 4 (fma.f64 b b (*.f64 a -12))) |
| 15.0ms | (fma.f64 b b (*.f64 a -12)) |
Compiled 1020 to 776 computations (23.9% saved)
| 1× | egg-herbie |
| 621× | associate-+l+_binary64 |
| 589× | associate-+r+_binary64 |
| 300× | fma-neg_binary64 |
| 265× | cancel-sign-sub-inv_binary64 |
| 220× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1386 |
| 1 | 181 | 1166 |
| 2 | 438 | 1012 |
| 3 | 1669 | 1012 |
| 4 | 4962 | 1012 |
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 0 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 57 | 4 | 61 |
| Status | Error | Program |
| ✓ | 12.4b | (+.f64 -1 (+.f64 (*.f64 (pow.f64 a 3) (+.f64 4 a)) (*.f64 (*.f64 a a) (+.f64 4 (*.f64 2 (*.f64 b b)))))) |
| ✓ | 13.2b | (fma.f64 (*.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))) -1) |
| ✓ | 0.2b | (+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b b) (fma.f64 a -3 1))) (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)) -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 534 to 329 computations (38.4% saved)
Total 0.0b remaining (80.4%)
Threshold costs 0.0b (80.4%)
Compiled 8709 to 6221 computations (28.6% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 13 | 25 |
| 2 | 13 | 25 |
Compiled 20 to 12 computations (40% saved)
| 1× | intervals |
| 714.0ms | 8000× | body | 128 | valid |
| 0.0ms | 3× | body | 128 | invalid |
Compiled 148 to 96 computations (35.1% saved)
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