Time bar (total: 5.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 6.2% | 93.6% | 0.2% | 8 |
| 25% | 74.9% | 0.2% | 9 |
| 28.1% | 71.7% | 0.2% | 10 |
| 29.6% | 70.2% | 0.2% | 11 |
| 53% | 46.8% | 0.2% | 12 |
| 71.3% | 28.5% | 0.2% | 13 |
| 71.7% | 28.1% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 1.0s | 8256× | body | 128 | valid |
| 62.0ms | 495× | body | 128 | invalid |
Compiled 40 to 24 computations (40% saved)
| 2× | egg-herbie |
| 23× | fma-def_binary64 |
| 11× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 126 |
| 1 | 65 | 126 |
| 2 | 75 | 126 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | saturated |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 18 | 18 |
| 2 | 22 | 18 |
| 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 |
| ▶ | 24.6b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 66 to 32 computations (51.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| ✓ | 0.7b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 24.1b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
30 calls:
| 13.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | x.im | 0 |
| 9.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | x.im | -inf |
| 9.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | x.re | -inf |
| 9.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | x.re | inf |
| 9.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | x.im | inf |
| 1× | batch-egg-rewrite |
| 512× | log-prod_binary64 |
| 271× | prod-diff_binary64 |
| 186× | expm1-udef_binary64 |
| 186× | log1p-udef_binary64 |
| 164× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 203 | 32 |
| 2 | 2570 | 32 |
| 1× | node limit |
| 1× | egg-herbie |
| 608× | associate-*l/_binary64 |
| 519× | fma-def_binary64 |
| 457× | associate-/r/_binary64 |
| 341× | fma-neg_binary64 |
| 283× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 1830 |
| 1 | 114 | 1710 |
| 2 | 358 | 1626 |
| 3 | 1827 | 1578 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 7 | 126 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 119 | 8 | 127 |
| Status | Error | Program |
| 25.0b | (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) 2))) 3) | |
| 38.2b | (/.f64 x.re y.re) | |
| 38.2b | (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) 2) | |
| ▶ | 15.7b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 33.3b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| 35.2b | (/.f64 x.im y.im) | |
| 23.7b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) | |
| ✓ | 24.6b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 2461 to 867 computations (64.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.re y.im)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 0.7b | (fma.f64 x.re y.re (*.f64 x.im y.im)) | |
| ✓ | 14.7b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) |
30 calls:
| 17.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) | x.im | inf |
| 14.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) | x.re | inf |
| 13.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) | x.re | inf |
| 13.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) | x.im | 0 |
| 12.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) | x.im | -inf |
| 1× | batch-egg-rewrite |
| 614× | log-prod_binary64 |
| 254× | prod-diff_binary64 |
| 213× | expm1-udef_binary64 |
| 213× | log1p-udef_binary64 |
| 189× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 245 | 38 |
| 2 | 3129 | 38 |
| 1× | node limit |
| 1× | egg-herbie |
| 600× | times-frac_binary64 |
| 438× | associate-/l*_binary64 |
| 334× | associate-/r*_binary64 |
| 329× | fma-def_binary64 |
| 322× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 3272 |
| 1 | 379 | 2866 |
| 2 | 1332 | 2666 |
| 1× | node limit |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 4 | 242 |
| Fresh | 4 | 2 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 243 | 7 | 250 |
| Status | Error | Program |
| 43.9b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ✓ | 15.7b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 33.3b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| ▶ | 15.8b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))) |
| 23.7b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) | |
| 33.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 30.1b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 5488 to 2031 computations (63% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))) |
| 0.7b | (fma.f64 x.re y.re (*.f64 x.im y.im)) | |
| ✓ | 7.1b | (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))) |
| ✓ | 7.6b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))) |
36 calls:
| 17.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))) | x.im | inf |
| 16.0ms | (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))) | x.re | -inf |
| 15.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))) | x.re | -inf |
| 14.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))) | x.re | -inf |
| 14.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))) | x.re | 0 |
| 1× | batch-egg-rewrite |
| 275× | log1p-udef_binary64 |
| 272× | prod-diff_binary64 |
| 166× | add-sqr-sqrt_binary64 |
| 160× | pow1_binary64 |
| 158× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 72 |
| 1 | 335 | 56 |
| 2 | 4199 | 56 |
| 1× | node limit |
| 1× | egg-herbie |
| 452× | times-frac_binary64 |
| 397× | fma-def_binary64 |
| 392× | cancel-sign-sub-inv_binary64 |
| 335× | associate-*l*_binary64 |
| 319× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 3848 |
| 1 | 377 | 3098 |
| 2 | 1352 | 2877 |
| 1× | node limit |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 0 | 214 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 214 | 7 | 221 |
| Status | Error | Program |
| 43.9b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ✓ | 15.7b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 33.3b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| ✓ | 15.8b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))) |
| ▶ | 23.7b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) |
| 33.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 30.1b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 5501 to 2169 computations (60.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.6b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) |
| ✓ | 6.0b | (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re) |
| ✓ | 10.7b | (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re)) |
| ✓ | 17.9b | (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) |
36 calls:
| 20.0ms | (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re)) | x.re | 0 |
| 19.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) | x.re | -inf |
| 18.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) | x.im | 0 |
| 18.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) | x.re | 0 |
| 18.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) | x.im | -inf |
| 1× | batch-egg-rewrite |
| 463× | prod-diff_binary64 |
| 218× | expm1-udef_binary64 |
| 218× | log1p-udef_binary64 |
| 123× | add-sqr-sqrt_binary64 |
| 122× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 64 |
| 1 | 236 | 59 |
| 2 | 3310 | 59 |
| 1× | node limit |
| 1× | egg-herbie |
| 958× | fma-neg_binary64 |
| 396× | times-frac_binary64 |
| 330× | associate-/l*_binary64 |
| 257× | associate-/r*_binary64 |
| 233× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 3240 |
| 1 | 246 | 3108 |
| 2 | 762 | 2967 |
| 3 | 4040 | 2967 |
| 1× | node limit |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 190 | 2 | 192 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 191 | 8 | 199 |
| Status | Error | Program |
| 43.9b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ✓ | 15.7b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 24.1b | (+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) 2))) (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) 2))) | |
| 44.3b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (pow.f64 (/.f64 (hypot.f64 y.im y.re) (sqrt.f64 x.re)) 2))) | |
| ✓ | 15.8b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) -1/2) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))) |
| ✓ | 23.7b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 y.re (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) x.re))) |
| 33.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 30.1b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 4872 to 1863 computations (61.8% saved)
Total 10.2b remaining (98.7%)
Threshold costs 0b (0%)
Compiled 14678 to 8609 computations (41.3% saved)
| 4× | binary-search |
4 calls:
| 27.0ms | y.re |
| 21.0ms | y.re |
| 18.0ms | y.re |
| 16.0ms | y.re |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
7.712883155351153e+76 | ∈ [ | 1.3397102745219712e+75 | , | 8.387711126857237e+76 | ] | |
9.158472105652272e-177 | ∈ [ | 3.8503495947759214e-177 | , | 9.547987586876858e-175 | ] | |
-2.1020937544048643e-195 | ∈ [ | -4.2676008261053727e-194 | , | -2.2743482387472888e-200 | ] | |
-3.951719848587527e+140 | ∈ [ | -2.474902145722205e+146 | , | -3.1152095905255187e+140 | ] | |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 121 |
| 1 | 49 | 119 |
| 2 | 52 | 119 |
| 3 | 58 | 119 |
| 4 | 63 | 119 |
| 5 | 68 | 119 |
| 6 | 70 | 119 |
| 1× | saturated |
| 1× | fuel |
Compiled 333 to 165 computations (50.5% saved)
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