Time bar (total: 3.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 13 to 11 computations (15.4% saved)
| 490.0ms | 2075× | body | 512 | valid |
| 460.0ms | 4751× | body | 128 | valid |
| 158.0ms | 1002× | body | 256 | valid |
| 129.0ms | 428× | body | 1024 | valid |
Compiled 26 to 22 computations (15.4% saved)
| 2× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 13× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 29 | 16 |
| 4 | 39 | 16 |
| 5 | 57 | 16 |
| 6 | 94 | 16 |
| 7 | 127 | 16 |
| 8 | 170 | 16 |
| 9 | 206 | 16 |
| 10 | 232 | 16 |
| 11 | 234 | 16 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 13× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 29 | 16 |
| 4 | 39 | 16 |
| 5 | 57 | 16 |
| 6 | 94 | 16 |
| 7 | 127 | 16 |
| 8 | 170 | 16 |
| 9 | 206 | 16 |
| 10 | 232 | 16 |
| 11 | 234 | 16 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.7b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 47 to 39 computations (17% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 x 1)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 x 1)) |
| ✓ | 2.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 867× | prod-diff_binary64 |
| 162× | expm1-udef_binary64 |
| 162× | log1p-udef_binary64 |
| 130× | egg-rr |
| 101× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 192 | 30 |
| 2 | 2968 | 30 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(/.f64 1 (+.f64 x 1)) |
(/.f64 1 (-.f64 x 1)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 610× | fma-neg_binary64 |
| 421× | times-frac_binary64 |
| 338× | cancel-sign-sub-inv_binary64 |
| 299× | fma-def_binary64 |
| 188× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 581 |
| 1 | 177 | 552 |
| 2 | 560 | 540 |
| 3 | 2032 | 537 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(*.f64 2 (fma.f64 x x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8)))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8)))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 (*.f64 x x) (-.f64 1 x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) |
(fma.f64 -1 (fma.f64 x x x) -1) |
(-.f64 -1 (fma.f64 x x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1) |
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3))) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 4 | 222 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 219 | 4 | 223 |
| Status | Error | Program |
|---|---|---|
| 32.0b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) | |
| ▶ | 13.0b | (+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
| 29.3b | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) | |
| 29.8b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
Compiled 5946 to 4803 computations (19.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (fma.f64 x x -1)) |
| ✓ | 15.5b | (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))) |
| ✓ | 29.3b | (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
| ✓ | 31.4b | (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1)))) |
| 2.0ms | x | @ | inf | (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1)))) |
| 2.0ms | x | @ | -inf | (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1)))) |
| 0.0ms | x | @ | inf | (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
| 0.0ms | x | @ | 0 | (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
| 1× | batch-egg-rewrite |
| 182× | expm1-udef_binary64 |
| 182× | log1p-udef_binary64 |
| 157× | add-sqr-sqrt_binary64 |
| 154× | *-un-lft-identity_binary64 |
| 154× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 69 |
| 1 | 312 | 47 |
| 2 | 4595 | 47 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1)))) |
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
(*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))) |
(/.f64 1 (fma.f64 x x -1)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/2) (pow.f64 (fma.f64 x x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -1)))))))) |
| 1× | egg-herbie |
| 518× | cancel-sign-sub-inv_binary64 |
| 440× | times-frac_binary64 |
| 303× | fma-def_binary64 |
| 194× | sub-neg_binary64 |
| 176× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 629 |
| 1 | 190 | 597 |
| 2 | 589 | 585 |
| 3 | 2136 | 582 |
| 1× | node limit |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
| Outputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(*.f64 2 (fma.f64 x x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(+.f64 2 (*.f64 2 (fma.f64 x x (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8))) |
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 8)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8))) |
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 8)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) |
(fma.f64 -1 (fma.f64 x x x) -1) |
(-.f64 -1 (fma.f64 x x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1)) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1) |
(fma.f64 -1 (*.f64 x x) -1) |
(fma.f64 (*.f64 x x) -1 -1) |
(-.f64 -1 (*.f64 x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))) 1) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1) |
(fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1) |
(-.f64 -1 (fma.f64 x x (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 6) (*.f64 -1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) -1) |
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6))) |
(-.f64 (-.f64 -1 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6)) |
(-.f64 -1 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))))) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 0 | 356 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 356 | 4 | 360 |
| Status | Error | Program |
|---|---|---|
| 32.0b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) | |
| ✓ | 13.0b | (+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
| ▶ | 29.3b | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
| 29.8b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
Compiled 16506 to 11731 computations (28.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cbrt.f64 (+.f64 1 x))) |
| ✓ | 0.3b | (cbrt.f64 (+.f64 1 x)) |
| ✓ | 15.9b | (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) |
| ✓ | 28.4b | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) |
| 1.0ms | x | @ | inf | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) |
| 1.0ms | x | @ | inf | (cbrt.f64 (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 359× | prod-diff_binary64 |
| 215× | expm1-udef_binary64 |
| 215× | log1p-udef_binary64 |
| 162× | fma-neg_binary64 |
| 135× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 1 | 279 | 40 |
| 2 | 3461 | 40 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
(cbrt.f64 (pow.f64 (+.f64 1 x) -2)) |
(cbrt.f64 (+.f64 1 x)) |
(/.f64 1 (cbrt.f64 (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (/.f64 1 (pow.f64 (+.f64 x -1) 2)) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (pow.f64 (+.f64 x -1) 2))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (cbrt.f64 (+.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (neg.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) -1) (neg.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (*.f64 -2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log1p.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 -2 (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/6) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 1/3 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 1/3 (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 982× | fma-def_binary64 |
| 467× | unswap-sqr_binary64 |
| 464× | associate-*l*_binary64 |
| 327× | associate-*r*_binary64 |
| 130× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 265 |
| 1 | 154 | 245 |
| 2 | 422 | 232 |
| 3 | 1261 | 210 |
| 4 | 3906 | 210 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
1 |
(+.f64 1 (*.f64 -2/3 x)) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 5/9 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 -40/81 (pow.f64 x 3)) (*.f64 5/9 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 (*.f64 -14/81 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2))))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(*.f64 2 (fma.f64 x x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(fma.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 2) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) |
1 |
(+.f64 1 (*.f64 -2/3 x)) |
(+.f64 1 (*.f64 x -2/3)) |
(fma.f64 x -2/3 1) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 5/9 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -2/3 x (*.f64 (*.f64 x x) 5/9))) |
(+.f64 1 (fma.f64 x -2/3 (*.f64 x (*.f64 x 5/9)))) |
(fma.f64 x (*.f64 x 5/9) (fma.f64 x -2/3 1)) |
(fma.f64 x (fma.f64 x 5/9 -2/3) 1) |
(+.f64 1 (+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 -40/81 (pow.f64 x 3)) (*.f64 5/9 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -2/3 x (fma.f64 -40/81 (pow.f64 x 3) (*.f64 (*.f64 x x) 5/9)))) |
(+.f64 (fma.f64 x -2/3 1) (fma.f64 (*.f64 x x) 5/9 (*.f64 (pow.f64 x 3) -40/81))) |
(+.f64 (fma.f64 x -2/3 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -40/81) 5/9))) |
(fma.f64 x (*.f64 x (fma.f64 x -40/81 5/9)) (fma.f64 x -2/3 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x -40/81 5/9) (fma.f64 x -2/3 1)) |
1 |
(+.f64 1 (*.f64 1/3 x)) |
(+.f64 1 (*.f64 x 1/3)) |
(fma.f64 x 1/3 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 x 1/3))) |
(fma.f64 (*.f64 x x) -1/9 (fma.f64 x 1/3 1)) |
(fma.f64 x 1/3 (fma.f64 (*.f64 x x) -1/9 1)) |
(fma.f64 x (fma.f64 x -1/9 1/3) 1) |
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) |
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3)))) |
(+.f64 (fma.f64 (pow.f64 x 3) 5/81 (*.f64 x 1/3)) (fma.f64 (*.f64 x x) -1/9 1)) |
(fma.f64 x (*.f64 x -1/9) (fma.f64 (pow.f64 x 3) 5/81 (fma.f64 x 1/3 1))) |
(fma.f64 (pow.f64 x 3) 5/81 (fma.f64 x (fma.f64 x -1/9 1/3) 1)) |
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 (pow.f64 x 3) 5/81 1)) |
1 |
(+.f64 1 (*.f64 -1/3 x)) |
(+.f64 1 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1) |
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -1/3 x (*.f64 (*.f64 x x) 2/9))) |
(+.f64 1 (fma.f64 (*.f64 x x) 2/9 (*.f64 x -1/3))) |
(fma.f64 x (*.f64 x 2/9) (fma.f64 x -1/3 1)) |
(fma.f64 x (fma.f64 x 2/9 -1/3) 1) |
(+.f64 (*.f64 -14/81 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2))))) |
(fma.f64 -14/81 (pow.f64 x 3) (+.f64 1 (fma.f64 -1/3 x (*.f64 (*.f64 x x) 2/9)))) |
(+.f64 (fma.f64 (*.f64 x x) 2/9 (*.f64 x -1/3)) (fma.f64 (pow.f64 x 3) -14/81 1)) |
(fma.f64 (pow.f64 x 3) -14/81 (fma.f64 x (*.f64 x 2/9) (fma.f64 x -1/3 1))) |
(fma.f64 x (fma.f64 x 2/9 -1/3) (fma.f64 (pow.f64 x 3) -14/81 1)) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 0 | 144 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 144 | 4 | 148 |
| Status | Error | Program |
|---|---|---|
| 32.0b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) | |
| ✓ | 13.0b | (+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
| ✓ | 29.3b | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
| ▶ | 29.8b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
Compiled 3106 to 2590 computations (16.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1 (fma.f64 x x -1)) | |
| ✓ | 2.0b | (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) |
| ✓ | 2.8b | (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))) |
| ✓ | 16.0b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
| 0.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) |
| 1× | batch-egg-rewrite |
| 221× | add-sqr-sqrt_binary64 |
| 216× | pow1_binary64 |
| 212× | *-un-lft-identity_binary64 |
| 210× | add-log-exp_binary64 |
| 210× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 1 | 431 | 77 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
(+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))) |
(-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) -3) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -3) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (hypot.f64 (hypot.f64 (pow.f64 (fma.f64 x x -1) -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (hypot.f64 (hypot.f64 (pow.f64 (fma.f64 x x -1) -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))) 2))) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (hypot.f64 (pow.f64 (fma.f64 x x -1) -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (hypot.f64 (hypot.f64 (pow.f64 (fma.f64 x x -1) -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) 2) (cbrt.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))) 2))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(/.f64 1 (fma.f64 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (hypot.f64 (hypot.f64 (pow.f64 (fma.f64 x x -1) -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 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(pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (+.f64 1 x) -3/2) (neg.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)))))))) |
| 1× | egg-herbie |
| 606× | times-frac_binary64 |
| 469× | fma-neg_binary64 |
| 438× | fma-def_binary64 |
| 268× | cancel-sign-sub-inv_binary64 |
| 186× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 675 |
| 1 | 260 | 640 |
| 2 | 766 | 630 |
| 3 | 2675 | 624 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 4 (pow.f64 x 4))))) |
(/.f64 2 (pow.f64 x 2)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 (pow.f64 x 2)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
2 |
(+.f64 2 (*.f64 12 (pow.f64 x 2))) |
(+.f64 (*.f64 30 (pow.f64 x 4)) (+.f64 2 (*.f64 12 (pow.f64 x 2)))) |
(+.f64 (*.f64 30 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 56 (pow.f64 x 6))))) |
(/.f64 -6 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 20 (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (*.f64 42 (/.f64 1 (pow.f64 x 8)))))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 10))))))) |
(/.f64 -6 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 20 (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (*.f64 42 (/.f64 1 (pow.f64 x 8)))))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 10))))))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(*.f64 2 (fma.f64 x x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(-.f64 (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (-.f64 (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 8))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6)))) (/.f64 -2 (pow.f64 x 8))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(-.f64 (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (-.f64 (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 8))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6)))) (/.f64 -2 (pow.f64 x 8))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)) |
(*.f64 2 (+.f64 (*.f64 x x) x)) |
(*.f64 2 (fma.f64 x x x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 2 x))) |
(fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (*.f64 2 x))) |
(+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 2 (fma.f64 x x x))) |
(fma.f64 2 (fma.f64 x x x) (*.f64 4 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 4 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (fma.f64 2 x (*.f64 4 (pow.f64 x 4))))) |
(+.f64 (*.f64 2 (fma.f64 x x x)) (*.f64 4 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))) |
(*.f64 (fma.f64 x x x) (+.f64 (*.f64 (*.f64 x x) 4) 2)) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))))) |
(/.f64 2 (pow.f64 x 2)) |
(/.f64 2 (*.f64 x x)) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))) (/.f64 4 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))))) |
2 |
(+.f64 2 (*.f64 12 (pow.f64 x 2))) |
(+.f64 2 (*.f64 (*.f64 x x) 12)) |
(fma.f64 (*.f64 x x) 12 2) |
(+.f64 (*.f64 30 (pow.f64 x 4)) (+.f64 2 (*.f64 12 (pow.f64 x 2)))) |
(fma.f64 30 (pow.f64 x 4) (+.f64 2 (*.f64 (*.f64 x x) 12))) |
(fma.f64 (pow.f64 x 4) 30 (fma.f64 (*.f64 x x) 12 2)) |
(fma.f64 x (*.f64 x 12) (fma.f64 (pow.f64 x 4) 30 2)) |
(fma.f64 (*.f64 x x) 12 (fma.f64 (pow.f64 x 4) 30 2)) |
(+.f64 (*.f64 30 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 12 (pow.f64 x 2)) (*.f64 56 (pow.f64 x 6))))) |
(fma.f64 30 (pow.f64 x 4) (+.f64 2 (fma.f64 12 (*.f64 x x) (*.f64 (pow.f64 x 6) 56)))) |
(+.f64 (fma.f64 (*.f64 x x) 12 (*.f64 (pow.f64 x 6) 56)) (fma.f64 (pow.f64 x 4) 30 2)) |
(fma.f64 (pow.f64 x 4) 30 (fma.f64 (pow.f64 x 6) 56 (fma.f64 (*.f64 x x) 12 2))) |
(/.f64 -6 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 20 (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.f64 (/.f64 6 (pow.f64 x 4)) (/.f64 20 (pow.f64 x 6)))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (/.f64 -20 (pow.f64 x 6))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (*.f64 42 (/.f64 1 (pow.f64 x 8)))))) |
(neg.f64 (+.f64 (/.f64 6 (pow.f64 x 4)) (+.f64 (/.f64 20 (pow.f64 x 6)) (/.f64 42 (pow.f64 x 8))))) |
(-.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 20 (pow.f64 x 6)) (/.f64 42 (pow.f64 x 8)))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 -20 (pow.f64 x 6)) (/.f64 -42 (pow.f64 x 8)))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (-.f64 (/.f64 -42 (pow.f64 x 8)) (/.f64 20 (pow.f64 x 6)))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 10))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 6 (pow.f64 x 4)) (/.f64 20 (pow.f64 x 6))) (+.f64 (/.f64 42 (pow.f64 x 8)) (/.f64 72 (pow.f64 x 10))))) |
(-.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 20 (pow.f64 x 6)) (+.f64 (/.f64 42 (pow.f64 x 8)) (/.f64 72 (pow.f64 x 10))))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 -20 (pow.f64 x 6)) (+.f64 (/.f64 -42 (pow.f64 x 8)) (/.f64 -72 (pow.f64 x 10))))) |
(+.f64 (/.f64 -20 (pow.f64 x 6)) (+.f64 (/.f64 -72 (pow.f64 x 10)) (-.f64 (/.f64 -42 (pow.f64 x 8)) (/.f64 6 (pow.f64 x 4))))) |
(/.f64 -6 (pow.f64 x 4)) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 20 (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.f64 (/.f64 6 (pow.f64 x 4)) (/.f64 20 (pow.f64 x 6)))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (/.f64 -20 (pow.f64 x 6))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (*.f64 42 (/.f64 1 (pow.f64 x 8)))))) |
(neg.f64 (+.f64 (/.f64 6 (pow.f64 x 4)) (+.f64 (/.f64 20 (pow.f64 x 6)) (/.f64 42 (pow.f64 x 8))))) |
(-.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 20 (pow.f64 x 6)) (/.f64 42 (pow.f64 x 8)))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 -20 (pow.f64 x 6)) (/.f64 -42 (pow.f64 x 8)))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (-.f64 (/.f64 -42 (pow.f64 x 8)) (/.f64 20 (pow.f64 x 6)))) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 42 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 10))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 6 (pow.f64 x 4)) (/.f64 20 (pow.f64 x 6))) (+.f64 (/.f64 42 (pow.f64 x 8)) (/.f64 72 (pow.f64 x 10))))) |
(-.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 20 (pow.f64 x 6)) (+.f64 (/.f64 42 (pow.f64 x 8)) (/.f64 72 (pow.f64 x 10))))) |
(+.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (/.f64 -20 (pow.f64 x 6)) (+.f64 (/.f64 -42 (pow.f64 x 8)) (/.f64 -72 (pow.f64 x 10))))) |
(+.f64 (/.f64 -20 (pow.f64 x 6)) (+.f64 (/.f64 -72 (pow.f64 x 10)) (-.f64 (/.f64 -42 (pow.f64 x 8)) (/.f64 6 (pow.f64 x 4))))) |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 1 | 163 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 162 | 5 | 167 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.3b | (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
| 56.4b | (/.f64 (/.f64 -6 (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) | |
| 32.0b | (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))) | |
| ✓ | 13.0b | (+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) |
| ✓ | 29.8b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) |
Compiled 5909 to 4781 computations (19.1% saved)
Total 0.0b remaining (8.1%)
Threshold costs 0.0b (8.1%)
Compiled 3694 to 2942 computations (20.4% saved)
| 2× | binary-search |
2 calls:
| 19.0ms | x |
| 6.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
50.0 | ∈ [ | 13.414925245064744 | , | 174.51632159089692 | ] | |
-280.0 | ∈ [ | -1466431016798239.5 | , | -27.579085992016502 | ] | |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 115 |
| 1 | 54 | 115 |
| 2 | 57 | 115 |
| 3 | 59 | 115 |
| 4 | 60 | 115 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -280) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6)))) (if (<=.f64 x 50) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))))) |
| Outputs |
|---|
(if (<=.f64 x -280) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6)))) (if (<=.f64 x 50) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))))) |
(if (<=.f64 x -280) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6)))) (if (<=.f64 x 50) (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 8))))))) |
| 1× | fuel |
Compiled 301 to 234 computations (22.3% saved)
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