Time bar (total: 6.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 87.5% | 12.5% | 0% | 6 |
| 93.7% | 6.2% | 0% | 7 |
| 96.8% | 3.1% | 0% | 8 |
| 98.4% | 1.6% | 0% | 9 |
| 99.2% | 0.8% | 0% | 10 |
| 99.6% | 0.4% | 0% | 11 |
| 99.8% | 0.2% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 683.0ms | 4946× | body | 256 | valid |
| 674.0ms | 2082× | body | 1024 | valid |
| 213.0ms | 1025× | body | 512 | valid |
| 120.0ms | 203× | body | 2048 | valid |
| 2× | egg-herbie |
| 859× | fma-neg_binary64 |
| 771× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 182× | associate-/l*_binary64 |
| 155× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 207 | 19 |
| 7 | 381 | 19 |
| 8 | 972 | 19 |
| 9 | 2302 | 19 |
| 10 | 2935 | 19 |
| 11 | 3252 | 19 |
| 12 | 4067 | 19 |
| 13 | 4363 | 19 |
| 14 | 4405 | 19 |
| 15 | 4407 | 19 |
| 16 | 4409 | 19 |
| 17 | 4419 | 19 |
| 18 | 4419 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 859× | fma-neg_binary64 |
| 771× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 182× | associate-/l*_binary64 |
| 155× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 207 | 19 |
| 7 | 381 | 19 |
| 8 | 972 | 19 |
| 9 | 2302 | 19 |
| 10 | 2935 | 19 |
| 11 | 3252 | 19 |
| 12 | 4067 | 19 |
| 13 | 4363 | 19 |
| 14 | 4405 | 19 |
| 15 | 4407 | 19 |
| 16 | 4409 | 19 |
| 17 | 4419 | 19 |
| 18 | 4419 | 19 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
Compiled 27 to 19 computations (29.6% saved)
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 |
|---|---|---|
| ▶ | 28.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 14 to 10 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| ✓ | 3.2b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 34 to 23 computations (32.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 509× | log-prod_binary64 |
| 470× | fma-def_binary64 |
| 389× | pow-prod-down_binary64 |
| 286× | fma-neg_binary64 |
| 267× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 1 | 195 | 36 |
| 2 | 3244 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (+.f64 x 1) (-.f64 x 1)) |
(/.f64 x (+.f64 x 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 820× | times-frac_binary64 |
| 427× | sub-neg_binary64 |
| 343× | fma-neg_binary64 |
| 321× | fma-def_binary64 |
| 258× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 466 |
| 1 | 205 | 439 |
| 2 | 589 | 432 |
| 3 | 1732 | 429 |
| 4 | 4980 | 429 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
-1 |
(-.f64 (*.f64 -2 x) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
-1 |
(-.f64 (*.f64 -2 x) 1) |
(fma.f64 -2 x -1) |
(fma.f64 x -2 -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1) |
(fma.f64 -2 (fma.f64 x x x) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1) |
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1) |
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 1)) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 1)) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x))) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(fma.f64 (*.f64 x x) (+.f64 x -1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(-.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(-.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x)))) |
Compiled 6319 to 4676 computations (26% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 252 | 13 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 252 | 14 | 266 |
| Status | Error | Program |
|---|---|---|
| 29.0b | (/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)) (+.f64 x -1)) | |
| ▶ | 33.6b | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
| 29.8b | (+.f64 (*.f64 3 x) 1) | |
| 28.3b | (fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) | |
| 27.9b | (-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)) | |
| ▶ | 33.8b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 28.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 33.1b | (/.f64 -3 x) |
| ▶ | 28.0b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 28.4b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))) | |
| 28.0b | (-.f64 (*.f64 (/.f64 1 (+.f64 x 1)) x) (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| 28.2b | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1)))) | |
| ▶ | 27.9b | (/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| 29.1b | 1 |
Compiled 422 to 310 computations (26.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) |
| ✓ | 0.0b | (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
| ✓ | 0.0b | (/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| ✓ | 3.2b | (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) |
Compiled 70 to 50 computations (28.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) |
| 0.0ms | x | @ | inf | (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) |
| 0.0ms | x | @ | -inf | (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 577× | log-prod_binary64 |
| 390× | prod-diff_binary64 |
| 280× | pow2_binary64 |
| 246× | fma-def_binary64 |
| 234× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 80 |
| 1 | 244 | 56 |
| 2 | 3773 | 56 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) |
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
(/.f64 (+.f64 x -1) (+.f64 x 1)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 585× | associate-/l/_binary64 |
| 475× | associate-/l*_binary64 |
| 392× | sub-neg_binary64 |
| 343× | fma-neg_binary64 |
| 292× | distribute-neg-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 503 |
| 1 | 205 | 479 |
| 2 | 594 | 477 |
| 3 | 1700 | 475 |
| 4 | 4510 | 472 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -2 x) 1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
-3 |
(-.f64 (*.f64 2 (/.f64 1 x)) 3) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-3 |
(-.f64 (*.f64 2 (/.f64 1 x)) 3) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
-1 |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
x |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
x |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
-1 |
(-.f64 (*.f64 2 x) 1) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -2 x) 1) |
(fma.f64 -2 x -1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(+.f64 (*.f64 2 (*.f64 x x)) (fma.f64 -2 x -1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x -1)) |
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) -1)) |
(fma.f64 x (+.f64 -2 (*.f64 x 2)) -1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
(+.f64 (fma.f64 2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) -1)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) -1)) |
-3 |
(-.f64 (*.f64 2 (/.f64 1 x)) 3) |
(+.f64 (/.f64 2 x) -3) |
(+.f64 -3 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 3 (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 -3 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x)))) |
(+.f64 -3 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) 3) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x)))) (/.f64 2 (pow.f64 x 3))) |
(+.f64 -3 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))) |
-3 |
(-.f64 (*.f64 2 (/.f64 1 x)) 3) |
(+.f64 (/.f64 2 x) -3) |
(+.f64 -3 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 2 x) (+.f64 3 (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 -3 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x)))) |
(+.f64 -3 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) 3) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x)))) (/.f64 2 (pow.f64 x 3))) |
(+.f64 -3 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(fma.f64 x 3 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 x 3 (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 x 3 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(*.f64 (fma.f64 x 3 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) 3))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) 3))) |
-1 |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
-1 |
(-.f64 (*.f64 2 x) 1) |
(fma.f64 2 x -1) |
(fma.f64 x 2 -1) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -1) |
(fma.f64 x 2 (fma.f64 -2 (*.f64 x x) -1)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 x 2 -1)) |
(fma.f64 x (+.f64 (*.f64 -2 x) 2) -1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -1) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 -2 (*.f64 x x) -1))) |
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (fma.f64 -2 (*.f64 x x) -1)) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 x (+.f64 (*.f64 -2 x) 2) -1)) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 1 (/.f64 2 x)) |
(+.f64 1 (/.f64 -2 x)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x))) |
(-.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))) |
(+.f64 1 (*.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) -2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (/.f64 -2 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))) |
(+.f64 (*.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) -2)) (+.f64 1 (/.f64 -2 (pow.f64 x 3)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 1 (/.f64 2 x)) |
(+.f64 1 (/.f64 -2 x)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x))) |
(-.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))) |
(+.f64 1 (*.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) -2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (/.f64 -2 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))) |
(+.f64 (*.f64 (/.f64 1 x) (+.f64 (/.f64 2 x) -2)) (+.f64 1 (/.f64 -2 (pow.f64 x 3)))) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 0.3b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
Compiled 24 to 13 computations (45.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 1.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 959× | prod-diff_binary64 |
| 578× | unpow-prod-down_binary64 |
| 393× | log-prod_binary64 |
| 323× | fma-def_binary64 |
| 233× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 184 | 17 |
| 2 | 2695 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
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x -2) (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (exp.f64 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x -2))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (exp.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3 x)) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -2)) 1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 x) 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 x -2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -3 x)) (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (cbrt.f64 (/.f64 -3 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 -1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -3 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (/.f64 -3 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) 2) 3) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) -1) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/3) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3/2) 1/3) (pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (pow.f64 x 4)) -1) 1/3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) 1/3) (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (sqrt.f64 -1) x)) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1)) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x -2))) 1)))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 525× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 234 |
| 1 | 30 | 216 |
| 2 | 61 | 216 |
| 3 | 118 | 216 |
| 4 | 282 | 216 |
| 5 | 857 | 216 |
| 6 | 3719 | 216 |
| 7 | 7266 | 216 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)) |
| ✓ | 0.3b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ✓ | 2.8b | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
Compiled 69 to 47 computations (31.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 778× | log-prod_binary64 |
| 556× | fma-def_binary64 |
| 364× | log-div_binary64 |
| 332× | fma-neg_binary64 |
| 228× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 79 |
| 1 | 271 | 60 |
| 2 | 4798 | 60 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)) |
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (+.f64 x 1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x 1) x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (+.f64 x 1) x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 x -1 -1) x) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x -1 -1) x)))))) |
| 1× | egg-herbie |
| 920× | fma-neg_binary64 |
| 653× | times-frac_binary64 |
| 640× | associate-*r*_binary64 |
| 452× | cancel-sign-sub-inv_binary64 |
| 357× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 424 |
| 1 | 118 | 390 |
| 2 | 319 | 389 |
| 3 | 894 | 388 |
| 4 | 2623 | 377 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 1 x) |
(+.f64 2 (/.f64 1 x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
x |
(+.f64 2 x) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
x |
(+.f64 2 x) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(fma.f64 x 3 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 3 x (+.f64 1 (*.f64 x x))) |
(fma.f64 x 3 (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 x 3 1)) |
(fma.f64 x (+.f64 x 3) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 x 3) 1)) |
(*.f64 (fma.f64 x 3 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 2 (/.f64 1 x)) |
(+.f64 (/.f64 1 x) 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
x |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
x |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 -3 (pow.f64 x 3)) |
| 0.2b | (/.f64 -1 (*.f64 x x)) | |
| ✓ | 6.8b | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
Compiled 48 to 32 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 -3 (pow.f64 x 3)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
| 0.0ms | x | @ | inf | (/.f64 -3 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
| 0.0ms | x | @ | -inf | (/.f64 -3 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 683× | fma-def_binary64 |
| 613× | log-prod_binary64 |
| 368× | fma-neg_binary64 |
| 353× | log-div_binary64 |
| 239× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 288 | 25 |
| 2 | 4366 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(/.f64 -3 (pow.f64 x 3)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 536× | unswap-sqr_binary64 |
| 527× | times-frac_binary64 |
| 482× | associate-/r*_binary64 |
| 412× | fma-def_binary64 |
| 393× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 207 |
| 1 | 65 | 189 |
| 2 | 160 | 189 |
| 3 | 431 | 189 |
| 4 | 1409 | 168 |
| 5 | 6321 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
| Outputs |
|---|
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
Compiled 28063 to 20508 computations (26.9% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1051 | 5 | 1056 |
| Fresh | 8 | 0 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1063 | 7 | 1070 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ▶ | 33.6b | (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
| ▶ | 29.8b | (+.f64 (*.f64 3 x) 1) |
| ▶ | 34.0b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| ✓ | 28.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 33.1b | (/.f64 -3 x) |
| 29.1b | 1 |
Compiled 66 to 50 computations (24.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Compiled 21 to 16 computations (23.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 1× | batch-egg-rewrite |
| 812× | pow1_binary64 |
| 757× | add-log-exp_binary64 |
| 757× | log1p-expm1-u_binary64 |
| 757× | expm1-log1p-u_binary64 |
| 745× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 154 | 10 |
| 2 | 2015 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (*.f64 (/.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (+.f64 3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (/.f64 1 x)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (*.f64 (neg.f64 x) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (*.f64 (*.f64 x -1) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 x -1) (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -3 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -3 (/.f64 -1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 27 (pow.f64 (/.f64 -1 x) 3))) (*.f64 x (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 9 (/.f64 1 (*.f64 x x)))) (*.f64 x (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) -1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) -1) (*.f64 (+.f64 (/.f64 -1 x) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) 1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) 1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) 1) (*.f64 (+.f64 (/.f64 -1 x) 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) 1) (*.f64 (+.f64 (/.f64 -1 x) 3) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (/.f64 -1 x)) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (+.f64 (/.f64 -1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 27 (pow.f64 (/.f64 -1 x) 3))) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 9 (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 -1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (+.f64 3 (/.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (/.f64 1 x)) 3) (pow.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 525× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 150 |
| 1 | 30 | 132 |
| 2 | 61 | 132 |
| 3 | 118 | 132 |
| 4 | 282 | 132 |
| 5 | 857 | 132 |
| 6 | 3719 | 132 |
| 7 | 7266 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3 x) 1) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 x) 1) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3 x) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 x) 1) |
| 1× | batch-egg-rewrite |
| 560× | pow1_binary64 |
| 522× | log1p-expm1-u_binary64 |
| 522× | expm1-log1p-u_binary64 |
| 521× | add-log-exp_binary64 |
| 512× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 124 | 5 |
| 2 | 1446 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 9) (fma.f64 3 x -1)) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2) (cbrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x 1)) (sqrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))) (+.f64 1 (pow.f64 (*.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x -1) (+.f64 (*.f64 (*.f64 x x) 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (fma.f64 3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1)) (neg.f64 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 9)) (-.f64 1 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) 1))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 8 | 9 |
| 1× | saturated |
| Inputs |
|---|
1 |
(*.f64 3 x) |
(*.f64 3 x) |
| Outputs |
|---|
1 |
(*.f64 3 x) |
(*.f64 3 x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (/.f64 -3 x)) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)) |
Compiled 37 to 23 computations (37.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (/.f64 -3 x)) |
| 0.0ms | x | @ | -inf | (-.f64 1 (/.f64 -3 x)) |
| 1× | batch-egg-rewrite |
| 613× | unpow-prod-down_binary64 |
| 416× | log-prod_binary64 |
| 341× | prod-diff_binary64 |
| 232× | pow-prod-down_binary64 |
| 229× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 180 | 20 |
| 2 | 2482 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)) |
(-.f64 1 (/.f64 -3 x)) |
| Outputs |
|---|
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(+.f64 (log1p.f64 (/.f64 3 x)) (*.f64 -2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 3 x)) (*.f64 -2 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 (/.f64 3 x)) (*.f64 -2 (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (/.f64 3 x)) (*.f64 -2 (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 1/2 (log1p.f64 (/.f64 3 x))) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (/.f64 3 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 3 x)) (*.f64 -2 (log.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (neg.f64 (/.f64 -3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (/.f64 -3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (pow.f64 x -2)) (neg.f64 (/.f64 -3 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 3 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 3 x))) (sqrt.f64 (+.f64 1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 -27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 -3 x) (+.f64 1 (/.f64 -3 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 -27 (pow.f64 x 3))) (pow.f64 (/.f64 1 (fma.f64 (/.f64 -3 x) (+.f64 1 (/.f64 -3 x)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 9 (pow.f64 x -2))) (/.f64 1 (+.f64 1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 9 (pow.f64 x -2))) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (cbrt.f64 (+.f64 1 (/.f64 3 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x)))) 2) 3) (cbrt.f64 (+.f64 1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -3 x) (+.f64 1 (/.f64 -3 x)) 1) (-.f64 1 (/.f64 -27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 -3 x)) (-.f64 1 (*.f64 9 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 -27 (pow.f64 x 3))) (fma.f64 (/.f64 -3 x) (+.f64 1 (/.f64 -3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 9 (pow.f64 x -2))) (+.f64 1 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 -27 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 -3 x) (+.f64 1 (/.f64 -3 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 9 (pow.f64 x -2)))) (neg.f64 (+.f64 1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 3 x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 3 x) 2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 3 x) 2)) (-.f64 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -3 x) (+.f64 1 (/.f64 -3 x)) 1) (-.f64 1 (/.f64 -27 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 -3 x)) (-.f64 1 (*.f64 9 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 3 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (neg.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (/.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (neg.f64 (sqrt.f64 (/.f64 -3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (cbrt.f64 (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 9 (pow.f64 x -2)))) (cbrt.f64 (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 -3 x))) (sqrt.f64 (/.f64 -3 x)) 1))))) |
| 1× | egg-herbie |
| 1209× | associate-/r/_binary64 |
| 695× | fma-def_binary64 |
| 558× | sqr-pow_binary64 |
| 536× | unswap-sqr_binary64 |
| 457× | *-commutative_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 234 |
| 1 | 34 | 234 |
| 2 | 60 | 234 |
| 3 | 122 | 234 |
| 4 | 374 | 234 |
| 5 | 1783 | 207 |
| 6 | 3681 | 207 |
| 7 | 3947 | 207 |
| 8 | 4433 | 207 |
| 9 | 4854 | 207 |
| 10 | 5458 | 207 |
| 11 | 6149 | 207 |
| 12 | 7836 | 207 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 3 x) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
1 |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
1 |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 3 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(/.f64 3 x) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
1 |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
1 |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
(+.f64 1 (*.f64 3 (/.f64 1 x))) |
(+.f64 1 (/.f64 3 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) x) |
| 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) | |
| ✓ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
Compiled 48 to 34 computations (29.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 724× | log-prod_binary64 |
| 568× | prod-diff_binary64 |
| 338× | log-div_binary64 |
| 241× | expm1-udef_binary64 |
| 241× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 286 | 24 |
| 2 | 4483 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(/.f64 (+.f64 x 1) x) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 884× | fma-neg_binary64 |
| 654× | associate-*l*_binary64 |
| 644× | times-frac_binary64 |
| 415× | cancel-sign-sub-inv_binary64 |
| 335× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 256 |
| 1 | 100 | 240 |
| 2 | 286 | 239 |
| 3 | 848 | 238 |
| 4 | 2568 | 227 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
Compiled 15872 to 11476 computations (27.7% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 4 | 536 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 535 | 8 | 543 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.8b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 34.0b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 29.1b | 1 | |
| ▶ | 33.8b | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| ▶ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| ▶ | 33.9b | (/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
| ✓ | 33.6b | (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
| ✓ | 33.1b | (/.f64 -3 x) |
Compiled 66 to 51 computations (22.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (+.f64 -3 (/.f64 -1 x))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
Compiled 29 to 22 computations (24.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 -3 (/.f64 -1 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 -3 (/.f64 -1 x))) |
| 1× | batch-egg-rewrite |
| 422× | log-prod_binary64 |
| 335× | exp-prod_binary64 |
| 279× | prod-exp_binary64 |
| 238× | pow2_binary64 |
| 229× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 196 | 20 |
| 2 | 2535 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
(/.f64 x (+.f64 -3 (/.f64 -1 x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) (sqrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 3 (neg.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -3 (/.f64 -1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) -2) (/.f64 x (cbrt.f64 (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) -1/2) (/.f64 x (sqrt.f64 (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -3 (/.f64 -1 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 -1 (pow.f64 x -3) -27)) (-.f64 (+.f64 9 (pow.f64 x -2)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 9 (pow.f64 x -2))) (+.f64 -3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 3 (neg.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 3/2) (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 2)))))) |
| 1× | egg-herbie |
| 732× | distribute-rgt-neg-in_binary64 |
| 526× | fma-neg_binary64 |
| 425× | cancel-sign-sub-inv_binary64 |
| 423× | times-frac_binary64 |
| 415× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 308 |
| 1 | 119 | 278 |
| 2 | 280 | 278 |
| 3 | 755 | 272 |
| 4 | 2347 | 272 |
| 5 | 6128 | 272 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (+.f64 (*.f64 27 (pow.f64 x 5)) (*.f64 -1 (pow.f64 x 2))))) |
(*.f64 -1/3 x) |
(+.f64 1/9 (*.f64 -1/3 x)) |
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x))) |
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x))) |
(*.f64 -1/3 x) |
(+.f64 1/9 (*.f64 -1/3 x)) |
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x))) |
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 3 (pow.f64 x 3) (neg.f64 (*.f64 x x))) |
(-.f64 (*.f64 3 (pow.f64 x 3)) (*.f64 x x)) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) 3) x)) |
(*.f64 (*.f64 x x) (fma.f64 x 3 -1)) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2)))) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 -9 (pow.f64 x 4) (neg.f64 (*.f64 x x)))) |
(fma.f64 3 (pow.f64 x 3) (-.f64 (*.f64 -9 (pow.f64 x 4)) (*.f64 x x))) |
(fma.f64 x (*.f64 x (fma.f64 x 3 -1)) (*.f64 -9 (pow.f64 x 4))) |
(fma.f64 (*.f64 x x) (fma.f64 x 3 -1) (*.f64 -9 (pow.f64 x 4))) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (+.f64 (*.f64 27 (pow.f64 x 5)) (*.f64 -1 (pow.f64 x 2))))) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 -9 (pow.f64 x 4) (fma.f64 27 (pow.f64 x 5) (neg.f64 (*.f64 x x))))) |
(fma.f64 3 (pow.f64 x 3) (-.f64 (fma.f64 -9 (pow.f64 x 4) (*.f64 27 (pow.f64 x 5))) (*.f64 x x))) |
(fma.f64 x (*.f64 x (fma.f64 x 3 -1)) (fma.f64 -9 (pow.f64 x 4) (*.f64 27 (pow.f64 x 5)))) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/9 (*.f64 -1/3 x)) |
(+.f64 (*.f64 x -1/3) 1/9) |
(fma.f64 x -1/3 1/9) |
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 x -1/3) 1/9) (/.f64 1/27 x)) |
(+.f64 1/9 (fma.f64 x -1/3 (/.f64 -1/27 x))) |
(fma.f64 x -1/3 (+.f64 1/9 (/.f64 -1/27 x))) |
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x))) |
(-.f64 (+.f64 1/9 (+.f64 (*.f64 x -1/3) (/.f64 1/81 (*.f64 x x)))) (/.f64 1/27 x)) |
(+.f64 (fma.f64 x -1/3 (/.f64 1/81 (*.f64 x x))) (-.f64 1/9 (/.f64 1/27 x))) |
(+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (fma.f64 x -1/3 (/.f64 -1/27 x)))) |
(fma.f64 x -1/3 (+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x)))) |
(+.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x))) |
(-.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/27 x) (/.f64 -1/81 (*.f64 x x)))) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/9 (*.f64 -1/3 x)) |
(+.f64 (*.f64 x -1/3) 1/9) |
(fma.f64 x -1/3 1/9) |
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 x -1/3) 1/9) (/.f64 1/27 x)) |
(+.f64 1/9 (fma.f64 x -1/3 (/.f64 -1/27 x))) |
(fma.f64 x -1/3 (+.f64 1/9 (/.f64 -1/27 x))) |
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x))) |
(-.f64 (+.f64 1/9 (+.f64 (*.f64 x -1/3) (/.f64 1/81 (*.f64 x x)))) (/.f64 1/27 x)) |
(+.f64 (fma.f64 x -1/3 (/.f64 1/81 (*.f64 x x))) (-.f64 1/9 (/.f64 1/27 x))) |
(+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (fma.f64 x -1/3 (/.f64 -1/27 x)))) |
(fma.f64 x -1/3 (+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x)))) |
(+.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x))) |
(-.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/27 x) (/.f64 -1/81 (*.f64 x x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| 1× | batch-egg-rewrite |
| 842× | pow1_binary64 |
| 786× | add-log-exp_binary64 |
| 786× | log1p-expm1-u_binary64 |
| 786× | expm1-log1p-u_binary64 |
| 773× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 156 | 10 |
| 2 | 2064 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (*.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (*.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 -3 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 525× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 150 |
| 1 | 30 | 132 |
| 2 | 61 | 132 |
| 3 | 118 | 132 |
| 4 | 282 | 132 |
| 5 | 857 | 132 |
| 6 | 3719 | 132 |
| 7 | 7266 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
Compiled 28 to 20 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 469× | prod-diff_binary64 |
| 436× | log-prod_binary64 |
| 258× | pow-prod-down_binary64 |
| 247× | pow2_binary64 |
| 218× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 189 | 16 |
| 2 | 2773 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x))))) (sqrt.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))) (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x (/.f64 -1 x))))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x (/.f64 -1 x)))) (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 (+.f64 x (/.f64 -1 x))) (neg.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -3 (/.f64 1 (+.f64 x (/.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x))) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 x) 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| 1× | egg-herbie |
| 884× | fma-neg_binary64 |
| 651× | associate-*l*_binary64 |
| 644× | times-frac_binary64 |
| 416× | cancel-sign-sub-inv_binary64 |
| 335× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 187 |
| 1 | 98 | 171 |
| 2 | 284 | 170 |
| 3 | 848 | 169 |
| 4 | 2564 | 158 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
Compiled 8761 to 6561 computations (25.1% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 2 | 312 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 312 | 8 | 320 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.8b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 34.0b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 28.7b | (/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) | |
| ✓ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| ✓ | 33.6b | (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
| 33.2b | (/.f64 1 (*.f64 x -1/3)) | |
| ✓ | 33.1b | (/.f64 -3 x) |
| 29.1b | 1 |
Compiled 62 to 49 computations (21% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -3 x) |
(/.f64 1 (*.f64 x -1/3)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(-.f64 (*.f64 (/.f64 1 (+.f64 x 1)) x) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)) |
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))) |
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)) (+.f64 x -1)) |
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) |
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
3 calls:
| 25.0ms | x |
| 8.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 7.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.3b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 319 to 230 computations (27.9% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -3 x) |
(/.f64 1 (*.f64 x -1/3)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| Outputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
1 calls:
| 79.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
Compiled 65 to 50 computations (23.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 9.680861912954761e-15 | 1786629748878947.5 |
| 59.0ms | -104.35134519839956 | -7.986200680875392e-18 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -3 x) |
(/.f64 1 (*.f64 x -1/3)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| Outputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
1 calls:
| 40.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
Compiled 56 to 44 computations (21.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 9.680861912954761e-15 | 1786629748878947.5 |
| 39.0ms | -104.35134519839956 | -7.986200680875392e-18 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -3 x) |
(/.f64 1 (*.f64 x -1/3)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 33.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | x |
Compiled 31 to 25 computations (19.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 9.680861912954761e-15 | 1786629748878947.5 |
| 34.0ms | -104.35134519839956 | -7.986200680875392e-18 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -3 x) |
(/.f64 1 (*.f64 x -1/3)) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 61.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | x |
Compiled 24 to 19 computations (20.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 9.680861912954761e-15 | 1786629748878947.5 |
| 35.0ms | -104.35134519839956 | -7.986200680875392e-18 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(/.f64 -3 x) |
(/.f64 1 (*.f64 x -1/3)) |
| Outputs |
|---|
(/.f64 -3 x) |
1 |
(/.f64 -3 x) |
1 calls:
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 14 to 11 computations (21.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 9.680861912954761e-15 | 1786629748878947.5 |
| 34.0ms | -104.35134519839956 | -7.986200680875392e-18 |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1 |
1 |
1 |
| Outputs |
|---|
1 |
1 calls:
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.1b | 1 | x |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 7× | +-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 | 38 | 179 |
| 1 | 49 | 179 |
| 2 | 55 | 179 |
| 3 | 57 | 179 |
| 4 | 58 | 179 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 -3 x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 -3 x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) 1 (/.f64 -3 x))) |
1 |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 1 (*.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 1 (+.f64 1/9 (*.f64 x -1/3))) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 -3 x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 -3 x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -7343073114861285/70368744177664) (/.f64 -3 x) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) 1 (/.f64 -3 x))) |
1 |
Compiled 132 to 100 computations (24.2% saved)
| 1× | egg-herbie |
| 920× | fma-neg_binary64 |
| 653× | times-frac_binary64 |
| 640× | associate-*r*_binary64 |
| 452× | cancel-sign-sub-inv_binary64 |
| 357× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 424 |
| 1 | 118 | 390 |
| 2 | 319 | 389 |
| 3 | 894 | 388 |
| 4 | 2623 | 377 |
| 1× | node limit |
Compiled 28 to 24 computations (14.3% saved)
Compiled 126 to 94 computations (25.4% saved)
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