Time bar (total: 2.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 13 to 11 computations (15.4% saved)
| 470.0ms | 2047× | body | 512 | valid |
| 451.0ms | 4726× | body | 128 | valid |
| 164.0ms | 1032× | body | 256 | valid |
| 136.0ms | 451× | body | 1024 | valid |
| 2× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 13× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 29 | 16 |
| 4 | 39 | 16 |
| 5 | 57 | 16 |
| 6 | 94 | 16 |
| 7 | 127 | 16 |
| 8 | 170 | 16 |
| 9 | 206 | 16 |
| 10 | 232 | 16 |
| 11 | 234 | 16 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 13× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 29 | 16 |
| 4 | 39 | 16 |
| 5 | 57 | 16 |
| 6 | 94 | 16 |
| 7 | 127 | 16 |
| 8 | 170 | 16 |
| 9 | 206 | 16 |
| 10 | 232 | 16 |
| 11 | 234 | 16 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 47 to 39 computations (17% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 x 1)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 x 1)) |
| ✓ | 1.7b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 867× | prod-diff_binary64 |
| 162× | expm1-udef_binary64 |
| 162× | log1p-udef_binary64 |
| 130× | egg-rr |
| 101× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 192 | 30 |
| 2 | 2968 | 30 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(/.f64 1 (+.f64 x 1)) |
(/.f64 1 (-.f64 x 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 610× | fma-neg_binary64 |
| 421× | times-frac_binary64 |
| 338× | cancel-sign-sub-inv_binary64 |
| 299× | fma-def_binary64 |
| 188× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 581 |
| 1 | 177 | 552 |
| 2 | 560 | 540 |
| 3 | 2032 | 537 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(*.f64 2 (fma.f64 x x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8)))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8)))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 (*.f64 x x) (-.f64 1 x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) |
(fma.f64 -1 (fma.f64 x x x) -1) |
(-.f64 -1 (fma.f64 x x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1) |
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3))) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 1 | 222 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 2 | 223 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.6b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
| ✓ | 14.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 5746 to 4647 computations (19.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
| ✓ | 0.5b | (/.f64 -2 (*.f64 x x)) |
| ✓ | 0.6b | (/.f64 -2 (pow.f64 x 4)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -2 (pow.f64 x 4)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (/.f64 -2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 -2 (pow.f64 x 4)) |
| 0.0ms | x | @ | inf | (/.f64 -2 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 947× | prod-diff_binary64 |
| 174× | log1p-udef_binary64 |
| 103× | add-sqr-sqrt_binary64 |
| 100× | pow1_binary64 |
| 99× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 212 | 27 |
| 2 | 2951 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 x 4)) |
(/.f64 -2 (*.f64 x x)) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) (cbrt.f64 (/.f64 4 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (cbrt.f64 (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) (*.f64 x x)) (/.f64 (sqrt.f64 -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8 (pow.f64 (pow.f64 x 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8 (pow.f64 (pow.f64 x 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -4)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) (pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) 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-4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -4) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x -4)) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -2) (*.f64 x x)) (/.f64 (sqrt.f64 -2) (*.f64 x x)) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))))) |
| 1× | egg-herbie |
| 605× | times-frac_binary64 |
| 577× | fma-neg_binary64 |
| 456× | associate-/r*_binary64 |
| 342× | associate-/l/_binary64 |
| 279× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 267 |
| 1 | 39 | 249 |
| 2 | 93 | 249 |
| 3 | 239 | 249 |
| 4 | 928 | 249 |
| 5 | 4932 | 249 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 2 | 116 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 115 | 3 | 118 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 34.3b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 1 x))) | |
| ▶ | 34.2b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) |
Compiled 1973 to 1480 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) |
| ✓ | 0.0b | (*.f64 -2 (pow.f64 x -2)) |
| 0.6b | (/.f64 -2 (pow.f64 x 4)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -2 (pow.f64 x -2)) |
| 0.0ms | x | @ | inf | (*.f64 -2 (pow.f64 x -2)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) |
| 0.0ms | x | @ | -inf | (*.f64 -2 (pow.f64 x -2)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) |
| 1× | batch-egg-rewrite |
| 435× | log-prod_binary64 |
| 275× | fma-def_binary64 |
| 169× | expm1-udef_binary64 |
| 169× | log1p-udef_binary64 |
| 167× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 207 | 20 |
| 2 | 2631 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 (pow.f64 x -2)) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (/.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))) (/.f64 (*.f64 4 (pow.f64 x -4)) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) (pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 2) (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) (sqrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 -2 (pow.f64 x 4)) 3)) (/.f64 1 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4))) (/.f64 1 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 8))) (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 -2 (pow.f64 x 4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2))) (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 -2 (pow.f64 x 4)) 3)) (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 -2 (pow.f64 x 4)) 3)) (fma.f64 4 (pow.f64 x -4) (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4))) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 -2 (pow.f64 x 4)) 3))) (neg.f64 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4)))) (neg.f64 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 x -4)) (/.f64 4 (pow.f64 x 8))) (-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 8))) (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 -2 (pow.f64 x 4)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2))) (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))) (pow.f64 (exp.f64 -2) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)) (+.f64 1 (expm1.f64 (/.f64 -2 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (/.f64 -2 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (pow.f64 x 4)))) (pow.f64 (exp.f64 -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -4)) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -2) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -4) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -2 (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x -2)) 1 (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 x 4)) 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 (pow.f64 x 4))) (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (cbrt.f64 (/.f64 -2 (pow.f64 x 4))) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (*.f64 (cbrt.f64 (pow.f64 x -2)) -2) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x -2)) (*.f64 (sqrt.f64 -2) (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2) (/.f64 1 x)) (*.f64 (sqrt.f64 -2) (/.f64 1 x)) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 4))) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) -2) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 1 x)) (/.f64 1 x) (/.f64 -2 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))))) |
| 1× | egg-herbie |
| 605× | times-frac_binary64 |
| 577× | fma-neg_binary64 |
| 456× | associate-/r*_binary64 |
| 342× | associate-/l/_binary64 |
| 279× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 267 |
| 1 | 39 | 249 |
| 2 | 93 | 249 |
| 3 | 239 | 249 |
| 4 | 928 | 249 |
| 5 | 4932 | 249 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 0 | 101 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 101 | 3 | 104 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ▶ | 34.3b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 1 x))) |
| ✓ | 34.2b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) |
Compiled 1692 to 1410 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 1 x))) |
| ✓ | 0.3b | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| 0.6b | (/.f64 -2 (pow.f64 x 4)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 295× | fma-def_binary64 |
| 208× | log-div_binary64 |
| 198× | expm1-udef_binary64 |
| 198× | log1p-udef_binary64 |
| 190× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 249 | 21 |
| 2 | 3310 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -2 x) (/.f64 1 x)) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 x 8)) (-.f64 (*.f64 -2 (pow.f64 x -4)) (/.f64 -2 (*.f64 x x)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (*.f64 -2 (pow.f64 x -4)) (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -4) 3) (/.f64 -8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4))) (/.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4))) (/.f64 1 (-.f64 (*.f64 -2 (pow.f64 x -4)) (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4))) (/.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x 4))) (fma.f64 -8 (pow.f64 (pow.f64 x -4) 3) (/.f64 -8 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -2 (pow.f64 x -4)) (/.f64 -2 (*.f64 x x))) (-.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -4) 3) (/.f64 -8 (pow.f64 (*.f64 x x) 3))) (-.f64 (+.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4))) (/.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -4) 3) (/.f64 -8 (pow.f64 (*.f64 x x) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4))) (-.f64 (*.f64 -2 (pow.f64 x -4)) (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -4) 3) (/.f64 -8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4))) (/.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 4)))) (neg.f64 (-.f64 (*.f64 -2 (pow.f64 x -4)) (/.f64 -2 (*.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 4) -1/2) -2)) (*.f64 (*.f64 (pow.f64 x 4) -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 4)) -2)) (*.f64 (neg.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 x (*.f64 (pow.f64 x 4) (/.f64 -2 x))) (*.f64 (pow.f64 x 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x 4) -1/2) (/.f64 -2 x))) (*.f64 (*.f64 (pow.f64 x 4) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 x (*.f64 (neg.f64 (pow.f64 x 4)) (/.f64 -2 x))) (*.f64 (neg.f64 (pow.f64 x 4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 8))) (-.f64 (/.f64 -2 (*.f64 x x)) (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change 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egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4)))) (exp.f64 (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -4)) (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4)))) (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) (/.f64 1 x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (*.f64 x x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x -4)) (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 -2 x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (*.f64 x x)) 1 (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x -4)) 1 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 -2 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 -2 (*.f64 x x))) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 -2 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -2) (*.f64 x x)) (/.f64 (sqrt.f64 -2) (*.f64 x x)) (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -4) -2 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (pow.f64 x -1/2) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -2 x) 1) (/.f64 1 x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -2 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -2 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2)) (cbrt.f64 (/.f64 -2 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 -2 x))) (sqrt.f64 (/.f64 -2 x)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x -4) (/.f64 -2 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 605× | times-frac_binary64 |
| 577× | fma-neg_binary64 |
| 456× | associate-/r*_binary64 |
| 342× | associate-/l/_binary64 |
| 279× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 267 |
| 1 | 39 | 249 |
| 2 | 93 | 249 |
| 3 | 239 | 249 |
| 4 | 928 | 249 |
| 5 | 4932 | 249 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 0 | 146 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 146 | 3 | 149 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ✓ | 34.3b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 1 x))) |
| ✓ | 34.2b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) |
Compiled 2453 to 1781 computations (27.4% saved)
Total -46.3b remaining (-15832.9%)
Threshold costs -46.3b (-15832.9%)
Compiled 195 to 151 computations (22.6% saved)
| 1× | left-value |
1 calls:
| 0.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
0.0 | ∈ [ | 0.0 | , | 2.0 | ] | |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | distribute-neg-frac_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 49 |
| 1 | 34 | 49 |
| 2 | 39 | 49 |
| 3 | 41 | 49 |
| 4 | 42 | 49 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (fma.f64 -2 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -4))) (*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (fma.f64 -2 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -4))) (*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) |
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 0) (fma.f64 -2 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -4))) (*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) |
(if (<=.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 0) (fma.f64 -2 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -4))) (*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) |
| 1× | done |
Compiled 105 to 84 computations (20% saved)
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