Time bar (total: 4.2s)
| 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 | 2× | body | 128 | invalid |
Compiled 95 to 59 computations (37.9% saved)
| 1× | egg-herbie |
| 620× | fma-def_binary64 |
| 556× | cancel-sign-sub-inv_binary64 |
| 552× | unswap-sqr_binary64 |
| 357× | unsub-neg_binary64 |
| 344× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 39 |
| 1 | 57 | 37 |
| 2 | 168 | 37 |
| 3 | 492 | 37 |
| 4 | 1604 | 33 |
| 5 | 2891 | 33 |
| 6 | 4309 | 33 |
| 7 | 5214 | 33 |
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 | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 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 3 a))))) 1) |
Compiled 166 to 104 computations (37.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 0.0b | (pow.f64 (hypot.f64 a b) 4) |
| ✓ | 0.0b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| ✓ | 0.6b | (*.f64 (*.f64 b b) (+.f64 a 3)) |
4 calls:
| 36.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 35.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 13.0ms | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| 8.0ms | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-exp-log_binary64 |
| 10× | pow1_binary64 |
| 9× | add-cube-cbrt_binary64 |
4 calls:
| 7.0ms | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 4.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 2.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 0.0ms | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| 1× | egg-herbie |
| 574× | associate-+l+_binary64 |
| 469× | distribute-rgt-in_binary64 |
| 453× | distribute-lft-in_binary64 |
| 338× | associate--l+_binary64 |
| 219× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 3413 |
| 1 | 464 | 3143 |
| 2 | 1556 | 3045 |
| 3 | 5074 | 3045 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 4 | 162 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 4 | 164 |
| Status | Error | Program |
| 0.2b | (fma.f64 (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) | |
| 9.6b | (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4)) (+.f64 (*.f64 4 (pow.f64 a 3)) 1)) | |
| 0.4b | (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) | |
| ▶ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) -1)) |
Compiled 5040 to 2955 computations (41.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) -1)) |
| ✓ | 0.0b | (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) |
| 0.0b | (pow.f64 (hypot.f64 a b) 4) | |
| ✓ | 0.6b | (*.f64 (+.f64 3 a) (*.f64 b b)) |
3 calls:
| 39.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) -1)) |
| 12.0ms | (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) |
| 8.0ms | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| 1× | rewrite-expression-head |
| 39× | add-sqr-sqrt_binary64 |
| 37× | *-un-lft-identity_binary64 |
| 36× | prod-diff_binary64 |
| 31× | add-cube-cbrt_binary64 |
| 16× | unpow-prod-down_binary64 |
3 calls:
| 9.0ms | (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) |
| 6.0ms | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| 4.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) -1)) |
| 1× | egg-herbie |
| 706× | fma-neg_binary64 |
| 672× | distribute-rgt-in_binary64 |
| 514× | cancel-sign-sub-inv_binary64 |
| 255× | unswap-sqr_binary64 |
| 176× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 4373 |
| 1 | 532 | 3968 |
| 2 | 2022 | 3657 |
| 3 | 4999 | 3647 |
| 4 | 5258 | 3647 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 0 | 213 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 213 | 4 | 217 |
| Status | Error | Program |
| ▶ | 0.2b | (fma.f64 (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 9.6b | (-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4)) (+.f64 (*.f64 4 (pow.f64 a 3)) 1)) | |
| 0.4b | (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) | |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) -1)) |
Compiled 7510 to 4491 computations (40.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (pow.f64 (hypot.f64 a b) (/.f64 4 2)) |
| 0.0b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) | |
| ✓ | 0.2b | (fma.f64 (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 0.6b | (*.f64 (*.f64 b b) (+.f64 a 3)) |
2 calls:
| 51.0ms | (pow.f64 (hypot.f64 a b) (/.f64 4 2)) |
| 48.0ms | (fma.f64 (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 1× | rewrite-expression-head |
| 13× | pow-unpow_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
2 calls:
| 2.0ms | (pow.f64 (hypot.f64 a b) (/.f64 4 2)) |
| 0.0ms | (fma.f64 (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 1× | egg-herbie |
| 629× | fma-neg_binary64 |
| 626× | fma-def_binary64 |
| 513× | associate-+l+_binary64 |
| 434× | unswap-sqr_binary64 |
| 321× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 1804 |
| 1 | 311 | 1614 |
| 2 | 914 | 1463 |
| 3 | 3565 | 1448 |
| 4 | 4990 | 1448 |
| 5 | 4984 | 1448 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 1 | 222 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 222 | 4 | 226 |
| Status | Error | Program |
| ✓ | 0.2b | (fma.f64 (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 0.4b | (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) | |
| ▶ | 0.2b | (+.f64 (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 12) (*.f64 a (+.f64 4 (*.f64 2 a))))) (fma.f64 (*.f64 a a) (-.f64 (fma.f64 a a 4) (*.f64 4 a)) -1)) |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) -1)) |
Compiled 8123 to 4880 computations (39.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (fma.f64 a a 4) (*.f64 4 a)) |
| ✓ | 0.0b | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| ✓ | 0.1b | (fma.f64 (*.f64 a a) (-.f64 (fma.f64 a a 4) (*.f64 4 a)) -1) |
| ✓ | 0.9b | (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 12) (*.f64 a (+.f64 4 (*.f64 2 a))))) |
4 calls:
| 20.0ms | (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 12) (*.f64 a (+.f64 4 (*.f64 2 a))))) |
| 3.0ms | (fma.f64 (*.f64 a a) (-.f64 (fma.f64 a a 4) (*.f64 4 a)) -1) |
| 3.0ms | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| 2.0ms | (-.f64 (fma.f64 a a 4) (*.f64 4 a)) |
| 1× | rewrite-expression-head |
| 12× | add-sqr-sqrt_binary64 |
| 11× | add-cbrt-cube_binary64 |
| 11× | add-exp-log_binary64 |
| 11× | pow1_binary64 |
| 9× | *-un-lft-identity_binary64 |
4 calls:
| 6.0ms | (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b 12) (*.f64 a (+.f64 4 (*.f64 2 a))))) |
| 4.0ms | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| 3.0ms | (-.f64 (fma.f64 a a 4) (*.f64 4 a)) |
| 0.0ms | (fma.f64 (*.f64 a a) (-.f64 (fma.f64 a a 4) (*.f64 4 a)) -1) |
| 1× | egg-herbie |
| 532× | fma-neg_binary64 |
| 239× | associate-*l*_binary64 |
| 238× | exp-prod_binary64 |
| 228× | associate-+l+_binary64 |
| 222× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 2740 |
| 1 | 488 | 2045 |
| 2 | 1825 | 2005 |
| 3 | 3475 | 2003 |
| 4 | 4967 | 2003 |
| 5 | 5019 | 2003 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 1 | 172 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 173 | 3 | 176 |
| Status | Error | Program |
| ✓ | 0.2b | (fma.f64 (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (pow.f64 (hypot.f64 a b) (/.f64 4 2)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 7.9b | (+.f64 (cbrt.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))) 3)) (fma.f64 (*.f64 a a) (-.f64 (fma.f64 a a 4) (*.f64 4 a)) -1)) | |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) -1)) |
Compiled 6283 to 3810 computations (39.4% saved)
Total 0.0b remaining (53.2%)
Threshold costs 0.0b (53.2%)
Compiled 18060 to 12248 computations (32.2% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 41 |
| 1 | 26 | 41 |
| 2 | 30 | 41 |
| 3 | 32 | 41 |
| 4 | 33 | 41 |
| 5 | 33 | 41 |
Compiled 152 to 108 computations (28.9% saved)
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