Time bar (total: 6.4s)
| 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 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 9.4% | 90.4% | 0.2% | 11 |
| 9.4% | 90.4% | 0.2% | 12 |
| 10.1% | 89.6% | 0.2% | 13 |
| 20.8% | 78.9% | 0.2% | 14 |
Compiled 19 to 14 computations (26.3% saved)
(sort x y)
(sort z t)
| 1.1s | 8256× | body | 128 | valid |
| 494.0ms | 3160× | body | 128 | invalid |
Compiled 56 to 41 computations (26.8% saved)
| 1× | egg-herbie |
| 789× | fma-def_binary64 |
| 757× | fma-neg_binary64 |
| 385× | associate-/l*_binary64 |
| 290× | associate-/r/_binary64 |
| 265× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 19 |
| 1 | 31 | 17 |
| 2 | 109 | 17 |
| 3 | 349 | 17 |
| 4 | 992 | 17 |
| 5 | 2393 | 17 |
| 6 | 4046 | 17 |
| 7 | 4848 | 17 |
| 1× | node limit |
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 |
| 6.4b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| ▶ | 6.1b | (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) |
Compiled 100 to 70 computations (30% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) |
| ✓ | 5.7b | (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) |
2 calls:
| 34.0ms | (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) |
| 12.0ms | (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) |
| 1× | batch-egg-rewrite |
| 257× | prod-diff_binary64 |
| 247× | expm1-udef_binary64 |
| 247× | log1p-udef_binary64 |
| 216× | log-pow_binary64 |
| 138× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 31 |
| 1 | 274 | 31 |
| 2 | 3391 | 31 |
| 1× | node limit |
2 calls:
| 51.0ms | (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) |
| 51.0ms | (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) |
| 1× | egg-herbie |
| 896× | fma-neg_binary64 |
| 366× | associate-/l*_binary64 |
| 298× | fma-def_binary64 |
| 225× | distribute-rgt-neg-in_binary64 |
| 221× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 1692 |
| 1 | 72 | 1524 |
| 2 | 189 | 1524 |
| 3 | 504 | 1524 |
| 4 | 1230 | 1524 |
| 5 | 2449 | 1524 |
| 6 | 3577 | 1524 |
| 7 | 4684 | 1524 |
| 1× | node limit |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 10 | 73 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 64 | 11 | 75 |
| Status | Error | Program |
| ▶ | 5.9b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 34.1b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2))) (cbrt.f64 a))) | |
| 6.6b | (pow.f64 (/.f64 a (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2))) -1) | |
| 32.4b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) a)) 2) | |
| 35.9b | (*.f64 t (*.f64 z (/.f64 -9/2 a))) | |
| 36.0b | (*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) (sqrt.f64 a))) | |
| 31.2b | (*.f64 x (/.f64 1/2 (/.f64 a y))) | |
| 7.0b | (*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) a)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) a)) 2)) | |
| 26.3b | (/.f64 (expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)))) a) | |
| ✓ | 6.1b | (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) |
| 6.2b | (*.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) (/.f64 1 a)) |
Compiled 1700 to 1046 computations (38.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| ✓ | 0.2b | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| ✓ | 5.0b | (/.f64 (*.f64 t z) a) |
| ✓ | 5.6b | (/.f64 (*.f64 y x) a) |
4 calls:
| 40.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 15.0ms | (/.f64 (*.f64 t z) a) |
| 14.0ms | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| 11.0ms | (/.f64 (*.f64 y x) a) |
| 1× | batch-egg-rewrite |
| 305× | log1p-udef_binary64 |
| 170× | add-sqr-sqrt_binary64 |
| 162× | egg-rr |
| 160× | log1p-expm1-u_binary64 |
| 160× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 46 |
| 1 | 339 | 43 |
| 2 | 4779 | 43 |
| 1× | node limit |
4 calls:
| 73.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 73.0ms | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| 73.0ms | (/.f64 (*.f64 t z) a) |
| 73.0ms | (/.f64 (*.f64 y x) a) |
| 1× | egg-herbie |
| 960× | fma-neg_binary64 |
| 364× | associate-/l*_binary64 |
| 270× | fma-def_binary64 |
| 224× | distribute-rgt-neg-in_binary64 |
| 215× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 348 |
| 1 | 59 | 324 |
| 2 | 163 | 324 |
| 3 | 450 | 324 |
| 4 | 1123 | 324 |
| 5 | 2377 | 324 |
| 6 | 3602 | 324 |
| 7 | 4706 | 324 |
| 1× | node limit |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 7 | 169 |
| Fresh | 7 | 2 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 171 | 9 | 180 |
| Status | Error | Program |
| 31.1b | (*.f64 x (/.f64 y (/.f64 a 1/2))) | |
| 26.3b | (/.f64 (expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)))) a) | |
| 32.4b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) a)) 2) | |
| 7.3b | (-.f64 (*.f64 1/2 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 9.1b | (fma.f64 (*.f64 (/.f64 y a) x) 1/2 (/.f64 -9/2 (/.f64 (/.f64 a z) t))) | |
| ▶ | 6.1b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (/.f64 (*.f64 (*.f64 t z) 9/2) a)) |
| 7.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 (/.f64 t a) z))) | |
| 8.6b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 t (/.f64 1 (/.f64 a z))))) | |
| 7.7b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 1 (/.f64 a x)))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
Compiled 4137 to 1925 computations (53.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (/.f64 (*.f64 (*.f64 t z) 9/2) a)) |
| ✓ | 0.2b | (*.f64 (*.f64 t z) 9/2) |
| ✓ | 5.2b | (/.f64 (*.f64 (*.f64 t z) 9/2) a) |
| 5.6b | (/.f64 (*.f64 y x) a) |
3 calls:
| 35.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (/.f64 (*.f64 (*.f64 t z) 9/2) a)) |
| 14.0ms | (/.f64 (*.f64 (*.f64 t z) 9/2) a) |
| 4.0ms | (*.f64 (*.f64 t z) 9/2) |
| 1× | batch-egg-rewrite |
| 300× | log1p-udef_binary64 |
| 166× | add-sqr-sqrt_binary64 |
| 156× | log1p-expm1-u_binary64 |
| 156× | expm1-log1p-u_binary64 |
| 155× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 39 |
| 1 | 328 | 36 |
| 2 | 4637 | 36 |
| 1× | node limit |
3 calls:
| 73.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (/.f64 (*.f64 (*.f64 t z) 9/2) a)) |
| 73.0ms | (*.f64 (*.f64 t z) 9/2) |
| 73.0ms | (/.f64 (*.f64 (*.f64 t z) 9/2) a) |
| 1× | egg-herbie |
| 824× | fma-neg_binary64 |
| 366× | associate-/l*_binary64 |
| 295× | fma-def_binary64 |
| 226× | distribute-rgt-neg-in_binary64 |
| 219× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 1560 |
| 1 | 69 | 1464 |
| 2 | 183 | 1464 |
| 3 | 490 | 1464 |
| 4 | 1215 | 1464 |
| 5 | 2438 | 1464 |
| 6 | 3490 | 1464 |
| 7 | 4597 | 1464 |
| 1× | node limit |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 3 | 157 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 158 | 8 | 166 |
| Status | Error | Program |
| 7.7b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 1 (/.f64 a x)))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| ▶ | 5.9b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a)))) |
| 32.4b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) a)) 2) | |
| 9.1b | (fma.f64 (*.f64 (/.f64 y a) x) 1/2 (/.f64 -9/2 (/.f64 (/.f64 a z) t))) | |
| 7.0b | (fma.f64 1/2 (*.f64 (/.f64 y a) x) (/.f64 (*.f64 (*.f64 t z) -9/2) a)) | |
| 7.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 (/.f64 t a) z))) | |
| 7.6b | (+.f64 (/.f64 (*.f64 1/2 y) (/.f64 a x)) (/.f64 (*.f64 (*.f64 t z) -9/2) a)) | |
| 8.6b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 t (/.f64 1 (/.f64 a z))))) |
Compiled 3633 to 1986 computations (45.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a)))) |
| ✓ | 0.3b | (*.f64 9/2 (/.f64 1 a)) |
| ✓ | 5.1b | (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a))) |
| 5.6b | (/.f64 (*.f64 y x) a) |
3 calls:
| 38.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a)))) |
| 14.0ms | (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a))) |
| 1.0ms | (*.f64 9/2 (/.f64 1 a)) |
| 1× | batch-egg-rewrite |
| 324× | log1p-udef_binary64 |
| 183× | add-sqr-sqrt_binary64 |
| 171× | add-cbrt-cube_binary64 |
| 171× | log1p-expm1-u_binary64 |
| 171× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 36 |
| 1 | 373 | 34 |
| 2 | 4982 | 34 |
| 1× | node limit |
3 calls:
| 64.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a)))) |
| 64.0ms | (*.f64 9/2 (/.f64 1 a)) |
| 64.0ms | (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a))) |
| 1× | egg-herbie |
| 894× | fma-neg_binary64 |
| 366× | associate-/l*_binary64 |
| 295× | fma-def_binary64 |
| 223× | distribute-rgt-neg-in_binary64 |
| 215× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 1440 |
| 1 | 70 | 1344 |
| 2 | 184 | 1344 |
| 3 | 490 | 1344 |
| 4 | 1209 | 1344 |
| 5 | 2435 | 1344 |
| 6 | 3564 | 1344 |
| 7 | 4674 | 1344 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 139 | 0 | 139 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 139 | 8 | 147 |
| Status | Error | Program |
| 7.7b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 1 (/.f64 a x)))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| ✓ | 5.9b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t z) (*.f64 9/2 (/.f64 1 a)))) |
| 32.4b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 y 1/2) (*.f64 (*.f64 t z) -9/2)) a)) 2) | |
| 9.1b | (fma.f64 (*.f64 (/.f64 y a) x) 1/2 (/.f64 -9/2 (/.f64 (/.f64 a z) t))) | |
| 7.0b | (fma.f64 1/2 (*.f64 (/.f64 y a) x) (/.f64 (*.f64 (*.f64 t z) -9/2) a)) | |
| 7.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 (/.f64 t a) z))) | |
| 7.6b | (+.f64 (/.f64 (*.f64 1/2 y) (/.f64 a x)) (/.f64 (*.f64 (*.f64 t z) -9/2) a)) | |
| 8.6b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (*.f64 t (/.f64 1 (/.f64 a z))))) |
Compiled 3462 to 1783 computations (48.5% saved)
Total 0.8b remaining (94.5%)
Threshold costs 0.8b (94.5%)
Compiled 15859 to 11395 computations (28.1% saved)
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | distribute-rgt-neg-in_binary64 |
| 4× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 93 |
| 1 | 43 | 93 |
| 2 | 62 | 93 |
| 3 | 70 | 93 |
| 4 | 76 | 93 |
| 5 | 78 | 93 |
| 1× | saturated |
(sort z t)
Compiled 716 to 429 computations (40.1% saved)
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