Time bar (total: 2.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 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 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0.1% | 0.1% | 14 |
Compiled 17 to 14 computations (17.6% saved)
| 463.0ms | 4677× | body | 128 | valid |
| 426.0ms | 1301× | body | 1024 | valid |
| 396.0ms | 1530× | body | 512 | valid |
| 134.0ms | 748× | body | 256 | valid |
Compiled 34 to 28 computations (17.6% saved)
| 2× | egg-herbie |
| 127× | fma-neg_binary64 |
| 82× | fma-def_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 41× | sub-neg_binary64 |
| 28× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 38 | 22 |
| 3 | 64 | 22 |
| 4 | 122 | 22 |
| 5 | 237 | 22 |
| 6 | 388 | 22 |
| 7 | 509 | 22 |
| 8 | 615 | 22 |
| 9 | 635 | 22 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 127× | fma-neg_binary64 |
| 82× | fma-def_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 41× | sub-neg_binary64 |
| 28× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 38 | 22 |
| 3 | 64 | 22 |
| 4 | 122 | 22 |
| 5 | 237 | 22 |
| 6 | 388 | 22 |
| 7 | 509 | 22 |
| 8 | 615 | 22 |
| 9 | 635 | 22 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 9.3b | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
Compiled 63 to 51 computations (19% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 x 1)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 x 1)) |
| ✓ | 0.0b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) |
| ✓ | 1.8b | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
| 143× | add-sqr-sqrt_binary64 |
| 137× | *-un-lft-identity_binary64 |
| 137× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 1 | 272 | 49 |
| 2 | 4382 | 49 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) |
(/.f64 1 (+.f64 x 1)) |
(/.f64 1 (-.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 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| 1× | egg-herbie |
| 653× | fma-neg_binary64 |
| 489× | cancel-sign-sub-inv_binary64 |
| 258× | associate-*l*_binary64 |
| 254× | fma-def_binary64 |
| 243× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 752 |
| 1 | 247 | 726 |
| 2 | 724 | 720 |
| 3 | 2230 | 717 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 -2 x) |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x)) |
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 x)) x)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
1 |
(-.f64 1 x) |
(-.f64 (+.f64 1 (pow.f64 x 2)) x) |
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
-1 |
(neg.f64 (+.f64 1 x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x))) |
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 x 2))) |
(+.f64 (/.f64 -2 x) (*.f64 -2 x)) |
(fma.f64 -2 x (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3))))) |
(+.f64 (/.f64 -2 x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 5) (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))) |
(-.f64 (*.f64 -2 (pow.f64 x 5)) (fma.f64 2 (+.f64 x (pow.f64 x 3)) (/.f64 2 x))) |
(fma.f64 -2 (pow.f64 x 5) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))) |
(/.f64 -2 x) |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 1 (/.f64 2 x)) |
(+.f64 1 (/.f64 -2 x)) |
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x)) |
(-.f64 1 (+.f64 x (/.f64 2 x))) |
(-.f64 (-.f64 1 x) (/.f64 2 x)) |
(+.f64 (-.f64 1 x) (/.f64 -2 x)) |
(-.f64 (+.f64 1 (/.f64 -2 x)) x) |
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 x)) x)) |
(+.f64 1 (-.f64 (*.f64 x x) (+.f64 x (/.f64 2 x)))) |
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 2 x))) |
(+.f64 (/.f64 -2 x) (-.f64 (fma.f64 x x 1) x)) |
(fma.f64 x x (-.f64 (+.f64 1 (/.f64 -2 x)) x)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 x)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 x)) |
1 |
(-.f64 1 x) |
(-.f64 (+.f64 1 (pow.f64 x 2)) x) |
(+.f64 1 (-.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 x x 1) x) |
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3))) |
(-.f64 (+.f64 1 (*.f64 x x)) (+.f64 x (pow.f64 x 3))) |
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3))) |
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
-1 |
(neg.f64 (+.f64 1 x)) |
(+.f64 -1 (neg.f64 x)) |
(-.f64 -1 x) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x))) |
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x)))) |
(-.f64 -1 (fma.f64 x x x)) |
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3))))) |
(+.f64 -1 (neg.f64 (+.f64 (+.f64 x (*.f64 x x)) (pow.f64 x 3)))) |
(-.f64 -1 (+.f64 (pow.f64 x 3) (fma.f64 x x x))) |
(-.f64 (-.f64 -1 x) (*.f64 x (fma.f64 x x x))) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 2 | 205 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 203 | 3 | 206 |
| Status | Error | Program |
|---|---|---|
| ✓ | 9.3b | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 33.9b | (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))) | |
| ▶ | 24.5b | (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))) |
Compiled 4821 to 3807 computations (21% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (+.f64 1 x) 2)) |
| ✓ | 0.0b | (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2))) |
| ✓ | 0.0b | (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))) |
| ✓ | 16.7b | (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2))) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2))) |
| 1× | batch-egg-rewrite |
| 257× | expm1-udef_binary64 |
| 257× | log1p-udef_binary64 |
| 152× | add-sqr-sqrt_binary64 |
| 147× | *-un-lft-identity_binary64 |
| 147× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 62 |
| 1 | 296 | 62 |
| 2 | 4306 | 62 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) |
(*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))) |
(*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2))) |
(-.f64 x (*.f64 (+.f64 1 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2) (+.f64 x (-.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))) (/.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))) 2) (+.f64 x (-.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x)))) 2))))) 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(*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (+.f64 x 1) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (*.f64 (+.f64 x 1) -2) 1 (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 -2 (+.f64 x 1) (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (+.f64 -1 (neg.f64 x)) 2 (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 (*.f64 x 2)))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x 2))) 2) (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 x 2)))) (sqrt.f64 (+.f64 2 (*.f64 x 2))) (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 2) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) (sqrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (+.f64 x (+.f64 2 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 2 (*.f64 x 2)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 2 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2))))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 2 (*.f64 x 2))) (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3)) (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2))) (+.f64 x (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2)))) (neg.f64 (+.f64 x (+.f64 2 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x 1) -2) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2)) (*.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)))))))) |
| 1× | egg-herbie |
| 937× | fma-neg_binary64 |
| 653× | unswap-sqr_binary64 |
| 266× | associate-*l*_binary64 |
| 237× | fma-def_binary64 |
| 194× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 242 |
| 1 | 48 | 208 |
| 2 | 96 | 208 |
| 3 | 221 | 208 |
| 4 | 713 | 208 |
| 5 | 2341 | 208 |
| 1× | node limit |
| Inputs |
|---|
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(*.f64 -1 x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
2 |
(-.f64 2 x) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
-2 |
(neg.f64 (+.f64 2 x)) |
(neg.f64 (+.f64 2 x)) |
(neg.f64 (+.f64 2 x)) |
(*.f64 -1 x) |
(neg.f64 (+.f64 2 x)) |
(neg.f64 (+.f64 2 x)) |
(neg.f64 (+.f64 2 x)) |
(*.f64 -1 x) |
(neg.f64 (+.f64 2 x)) |
(neg.f64 (+.f64 2 x)) |
(neg.f64 (+.f64 2 x)) |
| Outputs |
|---|
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (pow.f64 x 3) x) |
2 |
(-.f64 2 x) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 x (*.f64 x x))) |
(-.f64 2 (fma.f64 x x x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 x (*.f64 x x))) |
(-.f64 2 (fma.f64 x x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (+.f64 (pow.f64 x 2) x)) |
(neg.f64 (+.f64 x (*.f64 x x))) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 x (*.f64 x x))) |
(-.f64 2 (fma.f64 x x x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 x (*.f64 x x))) |
(-.f64 2 (fma.f64 x x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (+.f64 (pow.f64 x 2) x)) |
(neg.f64 (+.f64 x (*.f64 x x))) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 x (*.f64 x x))) |
(-.f64 2 (fma.f64 x x x)) |
(-.f64 2 (+.f64 (pow.f64 x 2) x)) |
(-.f64 2 (+.f64 x (*.f64 x x))) |
(-.f64 2 (fma.f64 x x x)) |
-2 |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
(neg.f64 (+.f64 2 x)) |
(+.f64 -2 (neg.f64 x)) |
(-.f64 -2 x) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 2 | 159 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 158 | 4 | 162 |
| Status | Error | Program |
|---|---|---|
| 24.5b | (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (-.f64 (pow.f64 x 3) x)) | |
| ▶ | 0.4b | (/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))) |
| ✓ | 9.3b | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 33.9b | (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))) |
Compiled 5712 to 3900 computations (31.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))) | |
| ✓ | 0.3b | (/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))) |
| 0.0ms | x | @ | inf | (/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 282× | fma-def_binary64 |
| 248× | prod-diff_binary64 |
| 184× | expm1-udef_binary64 |
| 184× | log1p-udef_binary64 |
| 150× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 221 | 16 |
| 2 | 2918 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2) (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))))) |
| 1× | egg-herbie |
| 591× | fma-def_binary64 |
| 448× | fma-neg_binary64 |
| 277× | cancel-sign-sub-inv_binary64 |
| 228× | distribute-rgt-neg-in_binary64 |
| 210× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 223 |
| 1 | 127 | 217 |
| 2 | 375 | 211 |
| 3 | 1222 | 211 |
| 4 | 3953 | 211 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
| Outputs |
|---|
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x))) |
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 x 2))) |
(+.f64 (/.f64 -2 x) (*.f64 -2 x)) |
(fma.f64 -2 x (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3))))) |
(+.f64 (/.f64 -2 x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 5) (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))) |
(-.f64 (*.f64 -2 (pow.f64 x 5)) (fma.f64 2 (+.f64 x (pow.f64 x 3)) (/.f64 2 x))) |
(fma.f64 -2 (pow.f64 x 5) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9)))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9)))) |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 5 | 72 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 71 | 5 | 76 |
| Status | Error | Program |
|---|---|---|
| 28.8b | (cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 3)) | |
| 31.5b | (sqrt.f64 (/.f64 4 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2))) | |
| 1.2b | (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 3) | |
| ▶ | 0.1b | (*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x))) |
| 0.3b | (/.f64 2 (-.f64 (pow.f64 x 3) x)) |
Compiled 1105 to 778 computations (29.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (-.f64 x 1)) |
| ✓ | 0.0b | (*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x))) |
| ✓ | 0.5b | (/.f64 1 (fma.f64 x x x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (fma.f64 x x x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (fma.f64 x x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x))) |
| 0.0ms | x | @ | inf | (/.f64 2 (-.f64 x 1)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x))) |
| 1× | batch-egg-rewrite |
| 453× | log-prod_binary64 |
| 181× | prod-diff_binary64 |
| 167× | log-div_binary64 |
| 166× | expm1-udef_binary64 |
| 166× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 205 | 29 |
| 2 | 2762 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (fma.f64 x x x)) |
(*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x))) |
(/.f64 2 (-.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x x) (-.f64 (/.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 (/.f64 x 2) 1/2) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x x) (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1) (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 x x x)) (-.f64 (/.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (fma.f64 x x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 (fma.f64 x x x)) (+.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (+.f64 (neg.f64 x) 1) (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (fma.f64 x x x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (+.f64 x -1)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 x -1))) 2) (/.f64 (fma.f64 x x x) (cbrt.f64 (/.f64 2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 2 (+.f64 x -1))) (/.f64 (fma.f64 x x x) (sqrt.f64 (/.f64 2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 (/.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (-.f64 (/.f64 x 2) 1/2) (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 (fma.f64 x x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 (fma.f64 x x x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (+.f64 (neg.f64 x) 1) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (+.f64 x -1) (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (+.f64 x -1))) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (fma.f64 x x x))) (+.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (+.f64 x -1)) (hypot.f64 x (sqrt.f64 x))) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (+.f64 x -1)) 1) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (+.f64 x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 2 (+.f64 x -1))) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 1 (fma.f64 x x x))) (+.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x x x)) -2) (+.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (+.f64 x -1)) -1) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (+.f64 x -1)) 3) (pow.f64 (fma.f64 x x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3) (pow.f64 (/.f64 2 (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (+.f64 x -1)) 3) (pow.f64 (/.f64 1 (fma.f64 x x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 x -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 x -1))) (sqrt.f64 (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 x -1))) (*.f64 (sqrt.f64 (/.f64 2 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 691× | fma-neg_binary64 |
| 507× | cancel-sign-sub-inv_binary64 |
| 341× | fma-def_binary64 |
| 208× | distribute-lft-out_binary64 |
| 160× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 611 |
| 1 | 231 | 592 |
| 2 | 687 | 582 |
| 3 | 2229 | 577 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 x) |
(-.f64 (/.f64 1 x) 1) |
(-.f64 (+.f64 (/.f64 1 x) x) 1) |
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2))) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
-2 |
(neg.f64 (+.f64 2 (*.f64 2 x))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
(/.f64 1 x) |
(-.f64 (/.f64 1 x) 1) |
(+.f64 (/.f64 1 x) -1) |
(-.f64 (+.f64 (/.f64 1 x) x) 1) |
(+.f64 (/.f64 1 x) (-.f64 x 1)) |
(+.f64 x (+.f64 (/.f64 1 x) -1)) |
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 1 (*.f64 x x)))) |
(+.f64 x (-.f64 (/.f64 1 x) (fma.f64 x x 1))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 (/.f64 1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x))) |
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 x 2))) |
(+.f64 (/.f64 -2 x) (*.f64 x -2)) |
(fma.f64 x -2 (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3))))) |
(+.f64 (/.f64 -2 x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(neg.f64 (fma.f64 2 (pow.f64 x 5) (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))) |
(-.f64 (*.f64 (pow.f64 x 5) -2) (fma.f64 2 (+.f64 x (pow.f64 x 3)) (/.f64 2 x))) |
(fma.f64 (pow.f64 x 5) -2 (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))) |
(*.f64 -2 (+.f64 (fma.f64 (fma.f64 x x 1) x (/.f64 1 x)) (pow.f64 x 5))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
(/.f64 2 (pow.f64 x 3)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
-2 |
(neg.f64 (+.f64 2 (*.f64 2 x))) |
(+.f64 -2 (neg.f64 (*.f64 x 2))) |
(+.f64 -2 (*.f64 x -2)) |
(fma.f64 x -2 -2) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))) |
(+.f64 -2 (neg.f64 (*.f64 2 (+.f64 (*.f64 x x) x)))) |
(+.f64 -2 (*.f64 -2 (fma.f64 x x x))) |
(fma.f64 -2 (fma.f64 x x x) -2) |
(fma.f64 (fma.f64 x -2 -2) x -2) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(+.f64 -2 (neg.f64 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))) |
(-.f64 -2 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))) |
(+.f64 -2 (*.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)))) |
(*.f64 (fma.f64 x x 1) (fma.f64 x -2 -2)) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))) |
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 2 x))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))) |
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 2 (/.f64 2 x))))) |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 2 | 152 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 152 | 5 | 157 |
| Status | Error | Program |
|---|---|---|
| 31.5b | (sqrt.f64 (/.f64 4 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2))) | |
| 1.2b | (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 3) | |
| 0.1b | (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 x -1)) | |
| 0.1b | (/.f64 (/.f64 2 (+.f64 x -1)) (fma.f64 x x x)) | |
| 0.3b | (/.f64 2 (-.f64 (pow.f64 x 3) x)) |
Compiled 2458 to 1621 computations (34.1% saved)
Total 0.1b remaining (89.1%)
Threshold costs 0.1b (89.1%)
Compiled 602 to 455 computations (24.4% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 9 | 14 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 2 (+.f64 x -1)) (fma.f64 x x x)) |
| Outputs |
|---|
(/.f64 (/.f64 2 (+.f64 x -1)) (fma.f64 x x x)) |
| 1× | fuel |
Compiled 76 to 52 computations (31.6% saved)
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