Time bar (total: 5.2s)
| 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)
| 704.0ms | 4990× | body | 256 | valid |
| 690.0ms | 2039× | body | 1024 | valid |
| 222.0ms | 1006× | body | 512 | valid |
| 82.0ms | 221× | 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 |
|---|---|---|
| ▶ | 25.0b | (-.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 (+.f64 x 1) (-.f64 x 1)) |
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 2.8b | (-.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 | @ | 0 | (-.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))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.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 x (+.f64 x 1)) |
(/.f64 (+.f64 x 1) (-.f64 x 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 820× | times-frac_binary64 |
| 422× | sub-neg_binary64 |
| 343× | fma-neg_binary64 |
| 319× | 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 | 1731 | 429 |
| 4 | 4978 | 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)))))) |
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)))) |
-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)))))) |
| 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 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.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 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
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 x (*.f64 (*.f64 x x) (+.f64 -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 (+.f64 1 (/.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 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.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 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.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 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.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 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))) |
-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 (/.f64 2 (*.f64 x x)) 1)) |
(+.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 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
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 (/.f64 2 (*.f64 x x)) 1)) |
(+.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 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
Compiled 6319 to 4676 computations (26% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 10 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 255 | 11 | 266 |
| Status | Error | Program |
|---|---|---|
| ▶ | 24.3b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ▶ | 36.2b | (/.f64 -3 x) |
| 36.9b | (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) | |
| ✓ | 25.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 36.9b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 25.0b | (/.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)))) | |
| ▶ | 26.6b | (+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
| ▶ | 25.0b | (-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 26.6b | (+.f64 (*.f64 3 x) 1) | |
| 26.2b | 1 | |
| 25.8b | (/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)) (+.f64 x -1)) |
Compiled 300 to 224 computations (25.3% saved)
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)) |
| ✓ | 0.0b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ✓ | 2.1b | (-.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 | @ | 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))) |
| 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 2) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change 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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) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (+.f64 x 1) x) x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) -1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) x (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) -1 (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 1)) (/.f64 1 x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (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 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(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)) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 0.4b | (/.f64 -1 (*.f64 x x)) |
Compiled 24 to 13 computations (45.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.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)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 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 -1 (*.f64 x x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| Outputs |
|---|
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(*.f64 x x) -1) -3)) (*.f64 (*.f64 (*.f64 x x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) x (*.f64 x -3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 x -1/3) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 (*.f64 x x) -1) 1)) (*.f64 (*.f64 (*.f64 x x) -1) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) (*.f64 x -1/3) x) (*.f64 x (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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-1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) -1 (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 (*.f64 x x) -1) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 x (*.f64 x (/.f64 -1 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 x (*.f64 (neg.f64 x) (/.f64 -1 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -3 x) (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -3) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))) (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 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)))))) |
| 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)) |
(/.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)) |
(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)) |
(/.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)) |
(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) (+.f64 1 (pow.f64 x 2))) |
Compiled 25 to 19 computations (24% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
| 1× | batch-egg-rewrite |
| 970× | pow1_binary64 |
| 909× | add-log-exp_binary64 |
| 907× | log1p-expm1-u_binary64 |
| 907× | expm1-log1p-u_binary64 |
| 96× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 199 | 9 |
| 2 | 2543 | 9 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 x (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 9) (-.f64 (*.f64 3 x) (fma.f64 x x 1))) (/.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 3 x) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (fma.f64 3 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (fma.f64 x x 1))) 2) (cbrt.f64 (fma.f64 3 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x (fma.f64 x x 1))) (sqrt.f64 (fma.f64 3 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 9) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 (*.f64 3 x) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 x)))) (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 x x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 3 x) (fma.f64 x x 1)) (-.f64 (*.f64 (*.f64 x x) 9) (pow.f64 (fma.f64 x x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 (*.f64 3 x) (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 9) (pow.f64 (fma.f64 x x 1) 2)) (-.f64 (*.f64 3 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 (fma.f64 x x 1) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) (*.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 9) (pow.f64 (fma.f64 x x 1) 2))) (neg.f64 (-.f64 (*.f64 3 x) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 3 x 1) 3) (pow.f64 x 6)) (+.f64 (*.f64 (fma.f64 3 x 1) (fma.f64 3 x 1)) (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 3 x 1) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) 9)) (-.f64 (fma.f64 x x 1) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 3 x 1) (fma.f64 3 x 1)) (pow.f64 x 4)) (-.f64 (fma.f64 3 x 1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x x 1) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) (hypot.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)) (fma.f64 x x 1)))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 552× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 499× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 20 | 28 |
| 2 | 33 | 28 |
| 3 | 55 | 28 |
| 4 | 117 | 28 |
| 5 | 315 | 28 |
| 6 | 1058 | 28 |
| 7 | 2223 | 28 |
| 8 | 2570 | 28 |
| 9 | 2762 | 28 |
| 10 | 2972 | 28 |
| 11 | 3280 | 28 |
| 12 | 3689 | 28 |
| 13 | 4172 | 28 |
| 14 | 4744 | 28 |
| 15 | 5436 | 28 |
| 16 | 6282 | 28 |
| 17 | 6679 | 28 |
| 18 | 6965 | 28 |
| 19 | 7241 | 28 |
| 20 | 7313 | 28 |
| 21 | 7347 | 28 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(pow.f64 x 2) |
(+.f64 (*.f64 3 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 3 x) (pow.f64 x 2)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 3 x) (pow.f64 x 2)) |
(fma.f64 3 x (*.f64 x x)) |
(*.f64 x (+.f64 3 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 3 x) (pow.f64 x 2)) |
(fma.f64 3 x (*.f64 x x)) |
(*.f64 x (+.f64 3 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| ✓ | 0.0b | (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
| ✓ | 2.8b | (-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
Compiled 54 to 39 computations (27.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 0.0ms | x | @ | -inf | (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 1× | batch-egg-rewrite |
| 540× | log-prod_binary64 |
| 428× | fma-def_binary64 |
| 372× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 276× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 230 | 41 |
| 2 | 3424 | 41 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
(exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (+.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3)) (/.f64 1 (pow.f64 (hypot.f64 (/.f64 x (+.f64 x 1)) (hypot.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (sqrt.f64 (/.f64 (*.f64 x (+.f64 x 1)) (fma.f64 x x -1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (pow.f64 (E.f64) (*.f64 1/3 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (E.f64) (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (/.f64 1 (exp.f64 (+.f64 x 1))) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.f64) (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (/.f64 1 (+.f64 x -1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (+.f64 x -1)) -2)) (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.f64) (pow.f64 (+.f64 x -1) -1/2)) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.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 pow.f64 (pow.f64 (E.f64) (/.f64 (+.f64 x 1) (fma.f64 x x -1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3)))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 2)) (cbrt.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (/.f64 1 (+.f64 -1 (pow.f64 x 3)))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) |
| 1× | egg-herbie |
| 659× | distribute-rgt-out_binary64 |
| 514× | cancel-sign-sub-inv_binary64 |
| 511× | distribute-lft-out_binary64 |
| 407× | associate-*l*_binary64 |
| 393× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 531 |
| 1 | 236 | 506 |
| 2 | 675 | 486 |
| 3 | 1965 | 477 |
| 4 | 5304 | 472 |
| 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)))))) |
(exp.f64 -1) |
(+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (exp.f64 -1)) |
(+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (exp.f64 -1))) |
(+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))) |
(exp.f64 1) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (exp.f64 1)) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))) |
(+.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))) |
(exp.f64 1) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (exp.f64 1)) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))) |
(+.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))) |
| 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 (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))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.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 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x)))) |
(+.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 (/.f64 -1 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))))) |
(/.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))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.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 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x)))) |
(+.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 (/.f64 -1 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))))) |
-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) |
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 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
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 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(exp.f64 -1) |
(+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (exp.f64 -1)) |
(fma.f64 -2 (*.f64 x (exp.f64 -1)) (exp.f64 -1)) |
(*.f64 (+.f64 (*.f64 x -2) 1) (exp.f64 -1)) |
(*.f64 (exp.f64 -1) (+.f64 1 (*.f64 x -2))) |
(+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (exp.f64 -1))) |
(fma.f64 -2 (*.f64 x (exp.f64 -1)) (fma.f64 2/3 (*.f64 (pow.f64 x 3) (exp.f64 -1)) (exp.f64 -1))) |
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 2/3)))) |
(*.f64 (exp.f64 -1) (+.f64 (*.f64 x -2) (+.f64 1 (*.f64 (pow.f64 x 3) 2/3)))) |
(+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))) |
(fma.f64 -2 (*.f64 x (exp.f64 -1)) (+.f64 (fma.f64 2/3 (*.f64 (pow.f64 x 3) (exp.f64 -1)) (exp.f64 -1)) (*.f64 2/3 (*.f64 (pow.f64 x 4) (exp.f64 -1))))) |
(fma.f64 -2 (*.f64 x (exp.f64 -1)) (fma.f64 2/3 (*.f64 (pow.f64 x 3) (exp.f64 -1)) (fma.f64 2/3 (*.f64 (pow.f64 x 4) (exp.f64 -1)) (exp.f64 -1)))) |
(+.f64 (*.f64 (+.f64 (*.f64 x -2) 1) (exp.f64 -1)) (*.f64 (*.f64 (exp.f64 -1) 2/3) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))) |
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 2/3) 2/3))))) |
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (*.f64 x (+.f64 -2 (*.f64 x (*.f64 2/3 (fma.f64 x x x))))))) |
(exp.f64 1) |
(E.f64) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (exp.f64 1)) |
(fma.f64 2 (/.f64 (E.f64) x) (E.f64)) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))) |
(fma.f64 2 (/.f64 (E.f64) x) (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (E.f64))) |
(+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 2 (/.f64 4 x)))) |
(+.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))) |
(fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)) (fma.f64 2 (/.f64 (E.f64) x) (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (E.f64)))) |
(fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)) (+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 2 (/.f64 4 x))))) |
(+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 (/.f64 4 x) (+.f64 2 (/.f64 22/3 (*.f64 x x)))))) |
(+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 (+.f64 (/.f64 4 x) (/.f64 22/3 (*.f64 x x))) 2))) |
(exp.f64 1) |
(E.f64) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (exp.f64 1)) |
(fma.f64 2 (/.f64 (E.f64) x) (E.f64)) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1))) |
(fma.f64 2 (/.f64 (E.f64) x) (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (E.f64))) |
(+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 2 (/.f64 4 x)))) |
(+.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 1) x)) (+.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))) |
(fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)) (fma.f64 2 (/.f64 (E.f64) x) (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (E.f64)))) |
(fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)) (+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 2 (/.f64 4 x))))) |
(+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 (/.f64 4 x) (+.f64 2 (/.f64 22/3 (*.f64 x x)))))) |
(+.f64 (E.f64) (*.f64 (/.f64 (E.f64) x) (+.f64 (+.f64 (/.f64 4 x) (/.f64 22/3 (*.f64 x x))) 2))) |
Compiled 23834 to 17301 computations (27.4% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 4 | 952 |
| Fresh | 5 | 0 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 956 | 7 | 963 |
| Status | Error | Program |
|---|---|---|
| ▶ | 26.6b | (fma.f64 x (+.f64 x 3) 1) |
| ▶ | 26.6b | (+.f64 (*.f64 3 x) 1) |
| 26.2b | 1 | |
| ✓ | 36.2b | (/.f64 -3 x) |
| ✓ | 25.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 36.9b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ▶ | 0.0b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
Compiled 59 to 44 computations (25.4% saved)
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 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) | |
| ✓ | 0.0b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
Compiled 48 to 34 computations (29.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 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))) |
| 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 | 22 |
| 1 | 286 | 17 |
| 2 | 4483 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| Outputs |
|---|
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(/.f64 x (+.f64 1 x))) (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 -3 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (neg.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 (fma.f64 x x -1)) x (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x))))))) |
| 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 13 to 9 computations (30.8% saved)
Compiled 9534 to 6670 computations (30% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 2 | 271 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 271 | 7 | 278 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 36.9b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 26.6b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 36.2b | (/.f64 -3 x) |
| ✓ | 0.0b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ▶ | 0.0b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 26.2b | 1 |
Compiled 64 to 48 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 1 x)) |
| ✓ | 0.0b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
Compiled 28 to 20 computations (28.6% saved)
6 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 x (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (-.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 | 23 |
| 1 | 189 | 23 |
| 2 | 2773 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
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(fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (cbrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) x))))) |
| 1× | egg-herbie |
| 884× | fma-neg_binary64 |
| 650× | associate-*l*_binary64 |
| 646× | times-frac_binary64 |
| 415× | cancel-sign-sub-inv_binary64 |
| 353× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 193 |
| 1 | 99 | 177 |
| 2 | 285 | 176 |
| 3 | 850 | 175 |
| 4 | 2572 | 164 |
| 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) |
x |
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)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 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 (/.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 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))) |
(fma.f64 (/.f64 (/.f64 1 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 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 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 -3 x) (/.f64 (/.f64 1 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 (/.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 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))) |
(fma.f64 (/.f64 (/.f64 1 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 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))) |
(/.f64 -1 x) |
x |
x |
Compiled 8744 to 6419 computations (26.6% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 2 | 248 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 247 | 8 | 255 |
| Status | Error | Program |
|---|---|---|
| 26.2b | 1 | |
| ✓ | 26.6b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 25.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 36.9b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 36.2b | (/.f64 -3 x) |
| ✓ | 0.0b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ✓ | 0.0b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 36.9b | (/.f64 (-.f64 -3 (/.f64 1 x)) x) |
Compiled 72 to 54 computations (25% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 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 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)))) |
(fma.f64 x (+.f64 x 3) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)) (+.f64 x -1)) |
(-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
3 calls:
| 11.0ms | x |
| 4.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 3.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 225 to 163 computations (27.6% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| Outputs |
|---|
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 36 to 27 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 5.383330709998098e-8 | 18992703301.36614 |
| 19.0ms | -4881.252419129222 | -5.0675498104815274e-8 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
Compiled 27 to 21 computations (22.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 5.383330709998098e-8 | 18992703301.36614 |
| 19.0ms | -4881.252419129222 | -5.0675498104815274e-8 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 3 | x |
Compiled 20 to 16 computations (20% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.383330709998098e-8 | 18992703301.36614 |
| 19.0ms | -4881.252419129222 | -5.0675498104815274e-8 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
1 |
(/.f64 -3 x) |
| Outputs |
|---|
(/.f64 -3 x) |
1 |
(/.f64 -3 x) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 10 to 8 computations (20% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 5.383330709998098e-8 | 18992703301.36614 |
| 29.0ms | -4881.252419129222 | -5.0675498104815274e-8 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
1 |
1 |
1 |
1 |
| Outputs |
|---|
1 |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.2b | 1 | x |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 1× | distribute-neg-frac_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 146 |
| 1 | 37 | 146 |
| 2 | 43 | 146 |
| 3 | 45 | 146 |
| 4 | 46 | 146 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 -3 x) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 -3 x) (if (<=.f64 x 4067529681775659/75557863725914323419136) 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 -5366993792942309/1099511627776) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 1 (*.f64 x 3)) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 1 (*.f64 x 3)) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 -3 x) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 -3 x) (if (<=.f64 x 4067529681775659/75557863725914323419136) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -5366993792942309/1099511627776) (/.f64 -3 x) (if (<=.f64 x 4067529681775659/75557863725914323419136) 1 (/.f64 -3 x))) |
1 |
Compiled 108 to 81 computations (25% 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 103 to 76 computations (26.2% saved)
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