Time bar (total: 4.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 50% | 50% | 0 |
| 0% | 50% | 50% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 6.2% | 43.7% | 50% | 4 |
| 12.5% | 37.5% | 50% | 5 |
| 18.7% | 31.2% | 50% | 6 |
| 23.4% | 26.5% | 50% | 7 |
| 27.3% | 22.6% | 50% | 8 |
| 30% | 19.9% | 50% | 9 |
| 32.2% | 17.8% | 50% | 10 |
| 33.7% | 16.3% | 50% | 11 |
| 34.8% | 15.2% | 50% | 12 |
| 35.5% | 14.4% | 50% | 13 |
| 36.1% | 13.8% | 50% | 14 |
Compiled 20 to 14 computations (30% saved)
| 770.0ms | 6310× | body | 128 | valid |
| 345.0ms | 537× | body | 4096 | valid |
| 336.0ms | 652× | body | 2048 | valid |
| 170.0ms | 420× | body | 1024 | valid |
| 72.0ms | 222× | body | 512 | valid |
| 24.0ms | 115× | body | 256 | valid |
Compiled 40 to 28 computations (30% saved)
| 2× | egg-herbie |
| 316× | fma-def_binary64 |
| 164× | fma-neg_binary64 |
| 86× | distribute-rgt-in_binary64 |
| 48× | distribute-lft-in_binary64 |
| 48× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 30 |
| 1 | 33 | 30 |
| 2 | 51 | 30 |
| 3 | 88 | 30 |
| 4 | 135 | 30 |
| 5 | 185 | 30 |
| 6 | 305 | 30 |
| 7 | 478 | 30 |
| 8 | 682 | 30 |
| 9 | 833 | 30 |
| 10 | 1083 | 30 |
| 11 | 1243 | 30 |
| 12 | 1261 | 30 |
| 13 | 1265 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 201× | fma-def_binary64 |
| 142× | fma-neg_binary64 |
| 51× | distribute-rgt-in_binary64 |
| 43× | cancel-sign-sub-inv_binary64 |
| 27× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 15 |
| 1 | 20 | 15 |
| 2 | 33 | 15 |
| 3 | 53 | 15 |
| 4 | 80 | 15 |
| 5 | 109 | 15 |
| 6 | 180 | 15 |
| 7 | 286 | 15 |
| 8 | 410 | 15 |
| 9 | 493 | 15 |
| 10 | 610 | 15 |
| 11 | 682 | 15 |
| 12 | 705 | 15 |
| 13 | 744 | 15 |
| 14 | 793 | 15 |
| 15 | 856 | 15 |
| 16 | 892 | 15 |
| 17 | 901 | 15 |
| 1× | saturated |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 13.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
Compiled 51 to 37 computations (27.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 re im) |
| ✓ | 0.9b | (-.f64 (hypot.f64 re im) re) |
12 calls:
| 2.0ms | (-.f64 (hypot.f64 re im) re) | re | inf |
| 2.0ms | (-.f64 (hypot.f64 re im) re) | im | 0 |
| 2.0ms | (-.f64 (hypot.f64 re im) re) | im | inf |
| 2.0ms | (-.f64 (hypot.f64 re im) re) | re | -inf |
| 2.0ms | (hypot.f64 re im) | re | -inf |
| 1× | batch-egg-rewrite |
| 578× | log1p-expm1-u_binary64 |
| 578× | expm1-log1p-u_binary64 |
| 410× | prod-diff_binary64 |
| 176× | fma-def_binary64 |
| 106× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 111 | 11 |
| 2 | 1521 | 11 |
| 1× | node limit |
| 1× | egg-herbie |
| 313× | distribute-rgt-neg-in_binary64 |
| 308× | distribute-lft-neg-in_binary64 |
| 286× | sub-neg_binary64 |
| 282× | distribute-neg-frac_binary64 |
| 234× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 973 |
| 1 | 262 | 947 |
| 2 | 815 | 923 |
| 3 | 3274 | 923 |
| 1× | node limit |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 148 | 6 | 154 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 148 | 7 | 155 |
| Status | Error | Program |
| ✓ | 13.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
| 17.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))))) | |
| 53.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 im (/.f64 re im)))))) | |
| 54.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))) | |
| 30.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 im))) | |
| ▶ | 14.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3)))) |
| 47.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))) |
Compiled 3187 to 1923 computations (39.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 re im) | |
| ✓ | 0.4b | (cbrt.f64 (-.f64 (hypot.f64 re im) re)) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3) |
| 0.9b | (-.f64 (hypot.f64 re im) re) |
12 calls:
| 14.0ms | (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3) | re | 0 |
| 10.0ms | (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3) | im | -inf |
| 9.0ms | (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3) | im | 0 |
| 9.0ms | (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3) | re | -inf |
| 8.0ms | (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3) | im | inf |
| 1× | batch-egg-rewrite |
| 737× | log1p-expm1-u_binary64 |
| 737× | expm1-log1p-u_binary64 |
| 410× | prod-diff_binary64 |
| 80× | egg-rr |
| 77× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 171 | 16 |
| 2 | 1999 | 16 |
| 1× | node limit |
| 1× | egg-herbie |
| 841× | fma-neg_binary64 |
| 776× | times-frac_binary64 |
| 246× | associate-*r*_binary64 |
| 218× | associate-*l*_binary64 |
| 216× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 349 |
| 1 | 198 | 349 |
| 2 | 633 | 347 |
| 3 | 2815 | 347 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 3 | 249 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 248 | 8 | 256 |
| Status | Error | Program |
| 47.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) 3)))) | |
| 30.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 im))) | |
| 31.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 im) 3)))) | |
| ✓ | 13.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
| 53.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 im (/.f64 re im)))))) | |
| 54.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))) | |
| ✓ | 14.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3)))) |
| ▶ | 17.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) 3)))) |
Compiled 5772 to 3583 computations (37.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 re im) | |
| ✓ | 0.6b | (pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) 3) |
| 0.9b | (-.f64 (hypot.f64 re im) re) | |
| ✓ | 3.7b | (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) |
12 calls:
| 14.0ms | (pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) 3) | re | 0 |
| 10.0ms | (pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) 3) | im | -inf |
| 10.0ms | (pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) 3) | re | -inf |
| 9.0ms | (pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) 3) | im | inf |
| 8.0ms | (pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 1/3) 3) | im | 0 |
| 1× | batch-egg-rewrite |
| 813× | log1p-expm1-u_binary64 |
| 813× | expm1-log1p-u_binary64 |
| 410× | prod-diff_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 82× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 188 | 16 |
| 2 | 2219 | 16 |
| 1× | node limit |
| 1× | egg-herbie |
| 841× | fma-neg_binary64 |
| 776× | times-frac_binary64 |
| 246× | associate-*r*_binary64 |
| 217× | associate-*l*_binary64 |
| 215× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 349 |
| 1 | 198 | 349 |
| 2 | 633 | 347 |
| 3 | 2811 | 347 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 1 | 245 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 245 | 8 | 253 |
| Status | Error | Program |
| 47.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) 3)))) | |
| 30.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 im))) | |
| 31.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 im) 3)))) | |
| ✓ | 13.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
| 53.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 im (/.f64 re im)))))) | |
| 54.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))) | |
| ✓ | 14.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3)))) |
| ▶ | 17.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3)))) |
Compiled 5866 to 3713 computations (36.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3) |
| 0.9b | (-.f64 (hypot.f64 re im) re) | |
| ✓ | 3.3b | (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) |
| ✓ | 3.7b | (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) |
18 calls:
| 14.0ms | (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3) | re | 0 |
| 10.0ms | (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3) | im | -inf |
| 9.0ms | (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3) | im | 0 |
| 9.0ms | (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3) | re | -inf |
| 9.0ms | (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3) | im | inf |
| 1× | batch-egg-rewrite |
| 888× | expm1-log1p-u_binary64 |
| 560× | prod-diff_binary64 |
| 142× | egg-rr |
| 97× | log1p-expm1-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 210 | 23 |
| 2 | 2428 | 23 |
| 1× | node limit |
| 1× | egg-herbie |
| 357× | fma-def_binary64 |
| 355× | sub-neg_binary64 |
| 310× | associate-*r*_binary64 |
| 272× | associate-*l*_binary64 |
| 255× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 834 |
| 1 | 328 | 826 |
| 2 | 1083 | 816 |
| 3 | 4682 | 816 |
| 1× | node limit |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 0 | 236 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 236 | 8 | 244 |
| Status | Error | Program |
| 47.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) 3)))) | |
| 30.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 im))) | |
| 31.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 im) 3)))) | |
| ✓ | 13.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (-.f64 (hypot.f64 re im) re)))) |
| 53.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 im (/.f64 re im)))))) | |
| 54.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))) | |
| ✓ | 14.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3)))) |
| ✓ | 17.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re))) 1/3) 3)))) |
Compiled 6028 to 3939 computations (34.7% saved)
Total 3.8b remaining (40.6%)
Threshold costs 0b (0%)
Compiled 2852 to 2082 computations (27% saved)
| 1× | left-value |
1 calls:
| 0.0ms | (sqrt.f64 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
0.0 | ∈ [ | 0.0 | , | 6.232865232512721e-150 | ] | |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 58 |
| 1 | 37 | 58 |
| 2 | 42 | 58 |
| 3 | 44 | 58 |
| 4 | 45 | 58 |
| 1× | saturated |
| 1× | fuel |
Compiled 197 to 150 computations (23.9% saved)
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