Time bar (total: 4.4s)
| 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 |
| 12.5% | 87.4% | 0.1% | 5 |
| 46.8% | 53.1% | 0.1% | 6 |
| 70.2% | 29.7% | 0.1% | 7 |
| 76.5% | 23.4% | 0.1% | 8 |
| 83.5% | 16.4% | 0.1% | 9 |
| 87% | 12.9% | 0.1% | 10 |
| 91.1% | 8.8% | 0.1% | 11 |
| 93.2% | 6.7% | 0.1% | 12 |
| 95.4% | 4.5% | 0.1% | 13 |
| 96.5% | 3.4% | 0.1% | 14 |
Compiled 20 to 10 computations (50% saved)
(sort x y)
| 789.0ms | 8256× | body | 128 | valid |
Compiled 59 to 29 computations (50.8% saved)
| 1× | egg-herbie |
| 985× | associate-/l*_binary64 |
| 659× | distribute-lft-out_binary64 |
| 601× | *-commutative_binary64 |
| 469× | distribute-rgt-out_binary64 |
| 356× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 39 | 25 |
| 2 | 135 | 23 |
| 3 | 474 | 23 |
| 4 | 1536 | 23 |
| 5 | 2122 | 23 |
| 6 | 2589 | 23 |
| 7 | 2567 | 23 |
| 8 | 2620 | 23 |
| 9 | 2677 | 23 |
| 10 | 2770 | 23 |
| 11 | 3956 | 23 |
| 12 | 4088 | 23 |
| 13 | 4454 | 23 |
| 14 | 4983 | 23 |
| 15 | 4968 | 23 |
| 16 | 4961 | 23 |
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 |
| ▶ | 19.1b | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
| 19.2b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) |
Compiled 109 to 47 computations (56.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) |
| ✓ | 0.0b | (pow.f64 (+.f64 x y) 3) |
| ✓ | 19.0b | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
3 calls:
| 68.0ms | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
| 12.0ms | (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) |
| 8.0ms | (pow.f64 (+.f64 x y) 3) |
| 2× | batch-egg-rewrite |
| 705× | prod-diff_binary64 |
| 539× | fma-udef_binary64 |
| 264× | fma-def_binary64 |
| 214× | fma-neg_binary64 |
| 176× | expm1-udef_binary64 |
3 calls:
| 145.0ms | (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) |
| 145.0ms | (pow.f64 (+.f64 x y) 3) |
| 145.0ms | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 1 | 200 | 45 |
| 2 | 2623 | 45 |
| 3 | 4754 | 45 |
| 4 | 4738 | 45 |
| 5 | 4968 | 45 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 308× | fma-def_binary64 |
| 297× | associate-+r+_binary64 |
| 242× | times-frac_binary64 |
| 212× | +-commutative_binary64 |
| 210× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 3481 |
| 1 | 828 | 3208 |
| 2 | 3813 | 3181 |
| 3 | 5142 | 3181 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 8 | 169 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 162 | 9 | 171 |
| Status | Error | Program |
| 32.3b | (*.f64 (/.f64 x (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (/.f64 y (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)))) | |
| 40.3b | (/.f64 x (pow.f64 y 2)) | |
| 28.7b | (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) 2)) | |
| 41.6b | (-.f64 (/.f64 y (*.f64 x x)) (fma.f64 3 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (pow.f64 x 3)))) | |
| ✓ | 19.1b | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
| 38.2b | (*.f64 (/.f64 1 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (/.f64 (*.f64 x y) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)))) | |
| ▶ | 24.2b | (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) y) |
| 28.7b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))))) | |
| 25.6b | (*.f64 x (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) y))) |
Compiled 6025 to 3324 computations (44.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (pow.f64 (+.f64 x y) 3) | |
| ✓ | 5.2b | (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) y) |
| ✓ | 8.3b | (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) |
| ✓ | 14.0b | (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) |
3 calls:
| 74.0ms | (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) y) |
| 67.0ms | (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) |
| 16.0ms | (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) |
| 2× | batch-egg-rewrite |
| 417× | fma-def_binary64 |
| 220× | fma-neg_binary64 |
| 210× | expm1-udef_binary64 |
| 210× | log1p-udef_binary64 |
| 183× | log-pow_binary64 |
3 calls:
| 70.0ms | (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) y) |
| 70.0ms | (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) |
| 70.0ms | (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 253 | 57 |
| 2 | 3131 | 57 |
| 3 | 5027 | 57 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 471× | fma-def_binary64 |
| 365× | times-frac_binary64 |
| 350× | associate-+l+_binary64 |
| 293× | associate-/l*_binary64 |
| 271× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 5271 |
| 1 | 1330 | 4911 |
| 2 | 5334 | 4911 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 4 | 255 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 256 | 8 | 264 |
| Status | Error | Program |
| 32.3b | (*.f64 (/.f64 x (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (/.f64 y (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)))) | |
| 40.3b | (/.f64 x (pow.f64 y 2)) | |
| 38.2b | (/.f64 (/.f64 (*.f64 x y) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) | |
| 41.6b | (-.f64 (/.f64 y (*.f64 x x)) (fma.f64 3 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (pow.f64 x 3)))) | |
| 25.6b | (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) y)) | |
| ▶ | 24.3b | (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) -1) y) |
| ✓ | 19.1b | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
| 35.4b | (log.f64 (pow.f64 (exp.f64 y) (/.f64 x (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))))) |
Compiled 9542 to 5813 computations (39.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) -1) |
| ✓ | 5.2b | (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) -1) y) |
| ✓ | 7.9b | (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) |
| 14.0b | (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) |
3 calls:
| 74.0ms | (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) -1) y) |
| 68.0ms | (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) -1) |
| 18.0ms | (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) |
| 2× | batch-egg-rewrite |
| 424× | fma-def_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
| 226× | fma-neg_binary64 |
| 137× | add-sqr-sqrt_binary64 |
3 calls:
| 96.0ms | (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) -1) |
| 96.0ms | (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) -1) y) |
| 96.0ms | (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 1 | 293 | 60 |
| 2 | 3467 | 60 |
| 3 | 4978 | 60 |
| 4 | 4873 | 60 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 469× | fma-def_binary64 |
| 371× | associate-+l+_binary64 |
| 368× | times-frac_binary64 |
| 298× | associate-/l*_binary64 |
| 271× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 411 | 5179 |
| 1 | 1381 | 4879 |
| 2 | 5334 | 4879 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 1 | 269 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 270 | 7 | 277 |
| Status | Error | Program |
| 32.3b | (*.f64 (/.f64 x (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (/.f64 y (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)))) | |
| 40.3b | (/.f64 x (pow.f64 y 2)) | |
| 38.2b | (/.f64 (/.f64 (*.f64 x y) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) | |
| 41.6b | (-.f64 (/.f64 y (*.f64 x x)) (fma.f64 3 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 y (pow.f64 x 3)))) | |
| 25.6b | (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) y)) | |
| ✓ | 19.1b | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
| ▶ | 24.8b | (*.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) y) |
Compiled 10104 to 6147 computations (39.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 3 (*.f64 y y) (fma.f64 x x x)) |
| ✓ | 0.5b | (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) |
| ✓ | 3.6b | (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) |
| ✓ | 14.8b | (*.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) y) |
4 calls:
| 46.0ms | (*.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) y) |
| 43.0ms | (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) |
| 10.0ms | (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) |
| 7.0ms | (fma.f64 3 (*.f64 y y) (fma.f64 x x x)) |
| 2× | batch-egg-rewrite |
| 601× | log-prod_binary64 |
| 269× | prod-diff_binary64 |
| 237× | expm1-udef_binary64 |
| 237× | log1p-udef_binary64 |
| 214× | log-pow_binary64 |
4 calls:
| 72.0ms | (fma.f64 3 (*.f64 y y) (fma.f64 x x x)) |
| 72.0ms | (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) |
| 72.0ms | (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) |
| 72.0ms | (*.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 90 |
| 1 | 283 | 87 |
| 2 | 3035 | 87 |
| 3 | 5489 | 87 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 390× | fma-def_binary64 |
| 362× | associate-+r+_binary64 |
| 313× | +-commutative_binary64 |
| 289× | times-frac_binary64 |
| 273× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 4383 |
| 1 | 1129 | 4164 |
| 2 | 4715 | 4128 |
| 3 | 5032 | 4128 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 3 | 188 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 186 | 9 | 195 |
| Status | Error | Program |
| 32.3b | (*.f64 (/.f64 x (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (/.f64 y (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)))) | |
| 40.3b | (/.f64 x (pow.f64 y 2)) | |
| 38.2b | (/.f64 (/.f64 (*.f64 x y) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) | |
| ✓ | 19.1b | (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) |
| 61.9b | (-.f64 (*.f64 1/3 (/.f64 1 y)) (+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 x (pow.f64 y 2))))) | |
| 33.6b | (/.f64 y (fma.f64 x x x)) | |
| ✓ | 24.8b | (*.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))) -1) y) |
| 25.0b | (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 3 (*.f64 y x) (fma.f64 y 2 (fma.f64 3 (*.f64 y y) (fma.f64 x x x)))))) 3) | |
| 25.6b | (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) y)) |
Compiled 7558 to 4444 computations (41.2% saved)
Total 4.3b remaining (59.3%)
Threshold costs 0b (0%)
Compiled 9074 to 5720 computations (37% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | -5.590189577891837e-143 | -5.586811506282266e-146 | -5.664768576413203e-146 |
| 6 | -9.785478050113318e+112 | -1.6984622260640051e+112 | -1.7172951296258227e+112 |
Compiled 3 to 2 computations (33.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 76 |
| 1 | 29 | 76 |
| 2 | 29 | 76 |
Compiled 386 to 207 computations (46.4% saved)
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