Time bar (total: 6.1s)
| 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 |
Compiled 17 to 14 computations (17.6% saved)
| 605.0ms | 5438× | body | 256 | valid |
| 362.0ms | 1336× | body | 1024 | valid |
| 280.0ms | 1482× | body | 512 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 2× | egg-herbie |
| 127× | fma-neg_binary64 |
| 82× | fma-def_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 39× | 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 | 236 | 22 |
| 6 | 395 | 22 |
| 7 | 516 | 22 |
| 8 | 622 | 22 |
| 9 | 642 | 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))) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
| 127× | fma-neg_binary64 |
| 82× | fma-def_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 39× | 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 | 236 | 22 |
| 6 | 395 | 22 |
| 7 | 516 | 22 |
| 8 | 622 | 22 |
| 9 | 642 | 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))) |
Compiled 31 to 25 computations (19.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 12.3b | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
Compiled 16 to 13 computations (18.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 x)) |
| ✓ | 2.9b | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
Compiled 48 to 37 computations (22.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 1.0ms | x | @ | -inf | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 775× | fma-def_binary64 |
| 613× | log-prod_binary64 |
| 390× | fma-neg_binary64 |
| 316× | log-div_binary64 |
| 248× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 289 | 42 |
| 2 | 4603 | 42 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(/.f64 1 (+.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) |
| Outputs |
|---|
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(*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (-.f64 1 x) (neg.f64 x)) (*.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (-.f64 1 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2 x) 2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (expm1.f64 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 x))) (exp.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2 x)) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (-.f64 1 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 -2 x)))))) |
| 1× | egg-herbie |
| 815× | fma-def_binary64 |
| 393× | sub-neg_binary64 |
| 326× | fma-neg_binary64 |
| 312× | times-frac_binary64 |
| 231× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 577 |
| 1 | 211 | 559 |
| 2 | 576 | 552 |
| 3 | 1644 | 549 |
| 4 | 5041 | 548 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9)))))) |
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)))) |
(/.f64 -2 x) |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 x) (/.f64 2 x)) |
(fma.f64 -2 x (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x)) |
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x))) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x)) |
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 (+.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 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.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 3))) (*.f64 2 (/.f64 1 (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 (+.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 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))))) |
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 1 (*.f64 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 1 (*.f64 x (+.f64 -1 x))) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.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 -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 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 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.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 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 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 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 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.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 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 -2 x) |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x))) |
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x)) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) x) |
(+.f64 (/.f64 -2 x) (-.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (-.f64 (fma.f64 -1 (*.f64 x x) (neg.f64 x)) 1) (/.f64 2 x)) |
(fma.f64 -1 (fma.f64 x x x) (+.f64 -1 (/.f64 -2 x))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x)) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x 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 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.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 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.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 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x)))) |
Compiled 5314 to 4281 computations (19.4% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 13 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 14 | 234 |
| Status | Error | Program |
|---|---|---|
| 32.5b | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x))) | |
| ✓ | 12.3b | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 31.0b | (/.f64 2 (pow.f64 x 3)) | |
| ▶ | 26.9b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
| ▶ | 32.0b | (/.f64 -2 x) |
| 27.2b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) | |
| ▶ | 32.4b | (+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 30.7b | (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) | |
| 30.7b | (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) | |
| ▶ | 31.2b | (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| ▶ | 27.8b | (+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 37.5b | (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) | |
| 37.5b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) | |
| 32.8b | (-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
Compiled 438 to 353 computations (19.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (/.f64 -2 x) 2) |
| ✓ | 2.0b | (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) |
| ✓ | 3.4b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
| ✓ | 13.4b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
Compiled 153 to 124 computations (19% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 -2 x) 2) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) |
| 1× | batch-egg-rewrite |
| 574× | fma-neg_binary64 |
| 343× | expm1-udef_binary64 |
| 343× | log1p-udef_binary64 |
| 215× | add-sqr-sqrt_binary64 |
| 209× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 103 |
| 1 | 417 | 73 |
| 2 | 6825 | 73 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) |
(pow.f64 (/.f64 -2 x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (neg.f64 (/.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))) (/.f64 (/.f64 4 (*.f64 x x)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (pow.f64 x -1) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 x -1) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (pow.f64 x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (pow.f64 (/.f64 -2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -2 x) 4)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) (sqrt.f64 (/.f64 -2 x))) (sqrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) -2) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2)) (cbrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x -1/2) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 -2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 613× | fma-neg_binary64 |
| 551× | cancel-sign-sub-inv_binary64 |
| 539× | associate-/r*_binary64 |
| 520× | associate-*l*_binary64 |
| 417× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 736 |
| 1 | 262 | 722 |
| 2 | 698 | 720 |
| 3 | 1939 | 720 |
| 4 | 5725 | 720 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9)))))) |
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.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 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.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 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 -4 (pow.f64 x 2)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 x 6)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 8 (pow.f64 x 4)) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))) |
(/.f64 8 (pow.f64 x 4)) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 x) (/.f64 2 x)) |
(fma.f64 -2 x (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x)) |
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x))) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x)) |
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.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 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) |
(*.f64 -2 (+.f64 x (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) |
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))) |
(*.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 7))))) |
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 5) (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))) |
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (pow.f64 x 7))))) |
(*.f64 -2 (+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (pow.f64 x 7)))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.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 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.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 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))) |
(/.f64 -4 (pow.f64 x 2)) |
(/.f64 -4 (*.f64 x x)) |
(-.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 (*.f64 x x) 4) (/.f64 4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (/.f64 -4 (*.f64 x x))) |
(*.f64 4 (fma.f64 x x (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 4 (*.f64 x x) (*.f64 8 (pow.f64 x 4))) (/.f64 4 (*.f64 x x))) |
(fma.f64 (*.f64 x x) 4 (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x)))) |
(fma.f64 x (*.f64 x 4) (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 12 (pow.f64 x 6)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 4)))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 12 (pow.f64 x 6) (fma.f64 4 (*.f64 x x) (*.f64 8 (pow.f64 x 4)))) (/.f64 4 (*.f64 x x))) |
(fma.f64 12 (pow.f64 x 6) (fma.f64 (*.f64 x x) 4 (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x))))) |
(fma.f64 12 (pow.f64 x 6) (fma.f64 x (*.f64 x 4) (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (*.f64 x x))))) |
(fma.f64 x (*.f64 x 4) (fma.f64 8 (pow.f64 x 4) (fma.f64 12 (pow.f64 x 6) (/.f64 -4 (*.f64 x x))))) |
(/.f64 8 (pow.f64 x 4)) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))) |
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))) (/.f64 20 (pow.f64 x 10)))) |
(+.f64 (/.f64 16 (pow.f64 x 8)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 20 (pow.f64 x 10))))) |
(+.f64 (/.f64 12 (pow.f64 x 6)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 16 (pow.f64 x 8)) (/.f64 20 (pow.f64 x 10))))) |
(/.f64 8 (pow.f64 x 4)) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 (pow.f64 x 6)))) |
(+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8))))) |
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) |
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))) |
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))) (/.f64 20 (pow.f64 x 10)))) |
(+.f64 (/.f64 16 (pow.f64 x 8)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 20 (pow.f64 x 10))))) |
(+.f64 (/.f64 12 (pow.f64 x 6)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 16 (pow.f64 x 8)) (/.f64 20 (pow.f64 x 10))))) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
(/.f64 4 (pow.f64 x 2)) |
(/.f64 4 (*.f64 x x)) |
(/.f64 (/.f64 4 x) x) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) |
Compiled 36 to 28 computations (22.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) | |
| ✓ | 0.4b | (/.f64 1 (-.f64 1 (*.f64 x x))) |
| ✓ | 10.1b | (+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| ✓ | 13.3b | (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
Compiled 75 to 50 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 550× | fma-neg_binary64 |
| 363× | log-div_binary64 |
| 304× | expm1-udef_binary64 |
| 303× | log1p-udef_binary64 |
| 248× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 51 |
| 1 | 360 | 39 |
| 2 | 5594 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(/.f64 1 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 2) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 469× | sub-neg_binary64 |
| 362× | associate-*l*_binary64 |
| 311× | fma-def_binary64 |
| 306× | associate-*r*_binary64 |
| 295× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 609 |
| 1 | 223 | 580 |
| 2 | 633 | 575 |
| 3 | 1896 | 575 |
| 4 | 5549 | 569 |
| 1× | node limit |
| Inputs |
|---|
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)))) |
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9)))))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.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)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.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 |
|---|
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 1 x) (*.f64 x 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 1 x) (*.f64 x x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(*.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 -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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(-.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 (*.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 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))) |
(/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(-.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 (*.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 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))) |
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 x -2) (/.f64 2 x)) |
(fma.f64 x -2 (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x)) |
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x))) |
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) |
(+.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) |
(+.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 3))) (*.f64 2 (/.f64 1 (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 (/.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))))) |
1 |
(+.f64 1 (pow.f64 x 2)) |
(+.f64 1 (*.f64 x x)) |
(fma.f64 x x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4))) |
(+.f64 (+.f64 1 (*.f64 x x)) (pow.f64 x 4)) |
(+.f64 (pow.f64 x 4) (fma.f64 x x 1)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) |
(+.f64 (+.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x 4) (pow.f64 x 6))) |
(+.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) (pow.f64 x 6))) |
(+.f64 (pow.f64 x 4) (+.f64 (fma.f64 x x 1) (pow.f64 x 6))) |
(+.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(*.f64 (fma.f64 x x 1) (+.f64 1 (pow.f64 x 4))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 6))) |
(neg.f64 (+.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)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (/.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 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 6))) |
(neg.f64 (+.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)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (/.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 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) | |
| 0.4b | (/.f64 1 (-.f64 1 (*.f64 x x))) | |
| ✓ | 31.2b | (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
Compiled 63 to 42 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 0.0ms | x | @ | inf | (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 0.0ms | x | @ | -inf | (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 1× | batch-egg-rewrite |
| 695× | log-prod_binary64 |
| 647× | fma-def_binary64 |
| 329× | fma-neg_binary64 |
| 287× | log-div_binary64 |
| 274× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 29 |
| 1 | 327 | 28 |
| 2 | 4764 | 28 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) 1) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 -1 (-.f64 1 x))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 -2 x)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) 3) (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 3)) (fma.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 2) (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 2)) (-.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))) (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))))) |
| 1× | egg-herbie |
| 772× | times-frac_binary64 |
| 699× | fma-def_binary64 |
| 476× | associate-/l*_binary64 |
| 415× | associate-*l/_binary64 |
| 302× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 217 |
| 1 | 122 | 211 |
| 2 | 313 | 210 |
| 3 | 770 | 209 |
| 4 | 1667 | 209 |
| 5 | 4031 | 209 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9)))))) |
| Outputs |
|---|
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 x) (/.f64 2 x)) |
(fma.f64 -2 x (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x)) |
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x))) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x)) |
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.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 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 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 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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))))) |
Compiled 29303 to 22987 computations (21.6% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 846 | 14 | 860 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 854 | 20 | 874 |
| Status | Error | Program |
|---|---|---|
| 32.5b | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x))) | |
| 32.3b | (/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1)))) | |
| ✓ | 12.3b | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 27.1b | (+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) | |
| 30.7b | (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) | |
| 53.0b | (+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x)) | |
| ▶ | 32.1b | (+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 31.0b | (/.f64 2 (pow.f64 x 3)) | |
| 17.5b | (fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) | |
| 30.7b | (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) | |
| ▶ | 57.1b | (+.f64 1 (/.f64 -1 x)) |
| 37.5b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) | |
| ✓ | 32.0b | (/.f64 -2 x) |
| 27.2b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) | |
| ▶ | 37.5b | (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| ▶ | 12.9b | (+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
| 30.3b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) | |
| 34.0b | (/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) | |
| 32.8b | (-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) | |
| ▶ | 34.2b | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
Compiled 718 to 560 computations (22% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.8b | (+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
Compiled 20 to 16 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
| 0.0ms | x | @ | inf | (+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
| 1× | batch-egg-rewrite |
| 825× | pow1_binary64 |
| 777× | add-log-exp_binary64 |
| 775× | log1p-expm1-u_binary64 |
| 775× | expm1-log1p-u_binary64 |
| 766× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 7 |
| 1 | 177 | 4 |
| 2 | 2299 | 4 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2 (/.f64 -2 x))) (/.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 2 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (cbrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (+.f64 -1 (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2)) (/.f64 1 (-.f64 2 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (+.f64 -1 (/.f64 -2 x)))) (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (/.f64 -2 x)) (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (+.f64 -1 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) (+.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 2 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2)) (-.f64 2 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (+.f64 -1 (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))) (neg.f64 (-.f64 2 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (/.f64 -8 (pow.f64 x 3))) (+.f64 0 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 0 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) 1) (-.f64 (+.f64 -1 (/.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (/.f64 4 (*.f64 x x))) (-.f64 0 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -1 (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) 1))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
| Outputs |
|---|
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
(/.f64 -2 x) |
Compiled 12 to 9 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) | |
| ✓ | 4.8b | (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
Compiled 41 to 31 computations (24.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 1× | batch-egg-rewrite |
| 683× | fma-def_binary64 |
| 549× | log-prod_binary64 |
| 359× | fma-neg_binary64 |
| 279× | log-div_binary64 |
| 222× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 259 | 19 |
| 2 | 4049 | 19 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| Outputs |
|---|
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egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))) 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 x -1/2)) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 x -1/2)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (+.f64 (/.f64 -2 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 718× | div-sub_binary64 |
| 502× | associate-*l*_binary64 |
| 453× | fma-neg_binary64 |
| 429× | fma-def_binary64 |
| 391× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 208 |
| 1 | 76 | 201 |
| 2 | 190 | 199 |
| 3 | 518 | 199 |
| 4 | 1671 | 199 |
| 5 | 5408 | 199 |
| 6 | 7296 | 199 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))) |
| Outputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(-.f64 -1 (/.f64 1 x)) |
(+.f64 -1 (/.f64 -1 x)) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1 x))) |
(+.f64 (fma.f64 -1 x -1) (/.f64 -1 x)) |
(-.f64 (+.f64 -1 (/.f64 -1 x)) x) |
(+.f64 (/.f64 -1 x) (-.f64 -1 x)) |
(+.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x))) |
(-.f64 (*.f64 -1 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 1 x))) |
(fma.f64 -1 (fma.f64 x x x) (-.f64 -1 (/.f64 1 x))) |
(-.f64 (+.f64 -1 (/.f64 -1 x)) (fma.f64 x x x)) |
(+.f64 -1 (-.f64 (/.f64 -1 x) (fma.f64 x x x))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.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 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.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 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) | |
| ✓ | 0.1b | (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) |
| ✓ | 10.7b | (+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| ✓ | 19.9b | (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) |
Compiled 85 to 53 computations (37.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 1× | batch-egg-rewrite |
| 647× | fma-neg_binary64 |
| 311× | expm1-udef_binary64 |
| 311× | log1p-udef_binary64 |
| 193× | add-sqr-sqrt_binary64 |
| 187× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 72 |
| 1 | 369 | 42 |
| 2 | 6280 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) |
(+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) 2)) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (-.f64 1 (*.f64 x x))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 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(2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x x)) (*.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (*.f64 x x) (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x 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6))) (*.f64 (-.f64 1 x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 (+.f64 1 (*.f64 x x)) x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 (+.f64 1 (*.f64 x x)) x) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3)) (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (-.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (*.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (*.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (*.f64 x (-.f64 1 (*.f64 x x))))) (-.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 x)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 x)) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (*.f64 x x)) (*.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) 1 (*.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x (-.f64 1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 912× | fma-def_binary64 |
| 340× | sub-neg_binary64 |
| 290× | times-frac_binary64 |
| 256× | distribute-rgt-in_binary64 |
| 249× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 531 |
| 1 | 195 | 507 |
| 2 | 523 | 488 |
| 3 | 1505 | 483 |
| 4 | 4819 | 479 |
| 1× | node limit |
| Inputs |
|---|
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)))) |
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9)))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) |
| Outputs |
|---|
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 1 x) (*.f64 x 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 1 x) (*.f64 x x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.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 -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 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 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.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 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 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 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 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.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 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 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 x -2) (/.f64 2 x)) |
(fma.f64 x -2 (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x)) |
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x))) |
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x)) |
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.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 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 3))) (*.f64 2 (/.f64 1 (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 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.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))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) x)) |
(+.f64 1 (-.f64 x (*.f64 x x))) |
(-.f64 x (fma.f64 x x -1)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 (*.f64 x x) x))) |
(+.f64 1 (-.f64 (-.f64 x (*.f64 x x)) (pow.f64 x 3))) |
(+.f64 1 (-.f64 x (*.f64 x (fma.f64 x x x)))) |
(*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (+.f64 (pow.f64 x 3) (*.f64 x x))) |
(-.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x x)) |
(*.f64 (neg.f64 x) (fma.f64 x x x)) |
(*.f64 x (*.f64 x (-.f64 -1 x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x)) |
(-.f64 (-.f64 x (*.f64 x x)) (pow.f64 x 3)) |
(-.f64 x (*.f64 x (fma.f64 x x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 (*.f64 x x) x))) |
(+.f64 1 (-.f64 (-.f64 x (*.f64 x x)) (pow.f64 x 3))) |
(+.f64 1 (-.f64 x (*.f64 x (fma.f64 x x x)))) |
(*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 3)) |
(neg.f64 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (+.f64 (pow.f64 x 3) (*.f64 x x))) |
(-.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x x)) |
(*.f64 (neg.f64 x) (fma.f64 x x x)) |
(*.f64 x (*.f64 x (-.f64 -1 x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x)) |
(-.f64 (-.f64 x (*.f64 x x)) (pow.f64 x 3)) |
(-.f64 x (*.f64 x (fma.f64 x x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 (*.f64 x x) x))) |
(+.f64 1 (-.f64 (-.f64 x (*.f64 x x)) (pow.f64 x 3))) |
(+.f64 1 (-.f64 x (*.f64 x (fma.f64 x x x)))) |
(*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 1 x)) | |
| ✓ | 0.3b | (/.f64 8 (pow.f64 x 4)) |
| 3.4b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) | |
| ✓ | 4.8b | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
Compiled 81 to 64 computations (21% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (/.f64 8 (pow.f64 x 4)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
| 0.0ms | x | @ | inf | (/.f64 8 (pow.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 811× | fma-def_binary64 |
| 467× | fma-neg_binary64 |
| 336× | expm1-udef_binary64 |
| 336× | log1p-udef_binary64 |
| 204× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 38 |
| 1 | 408 | 38 |
| 2 | 6170 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(/.f64 8 (pow.f64 x 4)) |
| Outputs |
|---|
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(log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))) (*.f64 (pow.f64 x 4) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 8 (pow.f64 x -4)) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 64 (pow.f64 x 8)) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 8 (pow.f64 x -4)) 3) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 2 x))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (/.f64 64 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 8))) (*.f64 2 (cbrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (/.f64 (sqrt.f64 8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8 (pow.f64 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 x -4)))))))) |
| 1× | egg-herbie |
| 985× | fma-neg_binary64 |
| 715× | associate-/l*_binary64 |
| 680× | cancel-sign-sub-inv_binary64 |
| 513× | distribute-neg-frac_binary64 |
| 409× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 225 |
| 1 | 107 | 225 |
| 2 | 258 | 225 |
| 3 | 646 | 225 |
| 4 | 1565 | 225 |
| 5 | 4417 | 225 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (pow.f64 x 3)) |
(+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))) |
(+.f64 (*.f64 16 (pow.f64 x 3)) (+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))) |
(/.f64 2 (pow.f64 x 3)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))) |
(/.f64 2 (pow.f64 x 3)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))) |
| Outputs |
|---|
(/.f64 4 (pow.f64 x 3)) |
(+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3))) |
(+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))) |
(fma.f64 8 x (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))) |
(fma.f64 x 8 (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (/.f64 4 x) (fma.f64 x 8 (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 x 8 (/.f64 4 x))) |
(+.f64 (*.f64 16 (pow.f64 x 3)) (+.f64 (*.f64 8 x) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))) |
(fma.f64 16 (pow.f64 x 3) (fma.f64 8 x (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3))))) |
(fma.f64 (pow.f64 x 3) 16 (fma.f64 x 8 (+.f64 (/.f64 4 x) (/.f64 4 (pow.f64 x 3))))) |
(+.f64 (/.f64 4 x) (fma.f64 (pow.f64 x 3) 16 (fma.f64 x 8 (/.f64 4 (pow.f64 x 3))))) |
(+.f64 (fma.f64 x 8 (/.f64 4 x)) (fma.f64 (pow.f64 x 3) 16 (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (/.f64 4 x) (fma.f64 x (fma.f64 16 (*.f64 x x) 8) (/.f64 4 (pow.f64 x 3)))) |
(/.f64 2 (pow.f64 x 3)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))) |
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))) |
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1/2 (pow.f64 x 7))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))) |
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) (+.f64 (/.f64 -1/2 (pow.f64 x 7)) (/.f64 -1/4 (pow.f64 x 9)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 9))))) |
(/.f64 2 (pow.f64 x 3)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))) |
(-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 1/2 (/.f64 1 (pow.f64 x 7))))) |
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 7)))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1/2 (pow.f64 x 7))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 9))) (*.f64 1/2 (/.f64 1 (pow.f64 x 7)))))) |
(-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9))))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1/2 (pow.f64 x 7)) (/.f64 1/4 (pow.f64 x 9))))) |
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5))) (+.f64 (/.f64 -1/2 (pow.f64 x 7)) (/.f64 -1/4 (pow.f64 x 9)))) |
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 9))))) |
Compiled 17564 to 12986 computations (26.1% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 12 | 684 |
| Fresh | 6 | 7 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 681 | 23 | 704 |
| Status | Error | Program |
|---|---|---|
| 57.3b | (+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (/.f64 -1 x)) | |
| ▶ | 52.3b | (+.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) |
| 27.1b | (+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) | |
| 30.7b | (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) | |
| 53.0b | (+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x)) | |
| 47.5b | (/.f64 1 (*.f64 x x)) | |
| ▶ | 34.2b | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
| 57.2b | (+.f64 -1 (/.f64 -1 x)) | |
| ▶ | 32.8b | (-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
| 37.5b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) | |
| 30.7b | (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) | |
| ▶ | 56.7b | (/.f64 -1 x) |
| ✓ | 32.0b | (/.f64 -2 x) |
| 27.2b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) | |
| ✓ | 37.5b | (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| 34.0b | (/.f64 (*.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (/.f64 (sqrt.f64 8) (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) | |
| ✓ | 12.3b | (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
| ▶ | 26.8b | (/.f64 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
| 31.0b | (/.f64 2 (pow.f64 x 3)) | |
| ✓ | 12.9b | (+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
| 38.0b | (/.f64 (sqrt.f64 (/.f64 64 (pow.f64 x 8))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) | |
| 34.0b | (/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) | |
| 33.9b | (/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
Compiled 692 to 530 computations (23.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 (+.f64 x -1) -2)) |
| ✓ | 0.0b | (/.f64 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
| ✓ | 0.1b | (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x)) |
| ✓ | 15.0b | (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) |
Compiled 95 to 52 computations (45.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) |
| 1.0ms | x | @ | inf | (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) |
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x)) |
| 1× | batch-egg-rewrite |
| 558× | fma-neg_binary64 |
| 303× | log1p-udef_binary64 |
| 302× | expm1-udef_binary64 |
| 238× | log-pow_binary64 |
| 183× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 88 |
| 1 | 351 | 78 |
| 2 | 5668 | 78 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) |
(*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x)) |
(/.f64 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
(+.f64 x (*.f64 (+.f64 x -1) -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 2) (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)))) (/.f64 (pow.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)) 2) (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))) 1)))) (#(struct:change #<rule 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(neg.f64 x))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))) 3) (pow.f64 (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 x 1) (fma.f64 (+.f64 x -1) -2 x) (fma.f64 x x (neg.f64 x))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1) -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 2 (*.f64 -2 x)))) (/.f64 (pow.f64 (+.f64 2 (*.f64 -2 x)) 2) (-.f64 x (+.f64 2 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x -1) -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x -1) -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 2)) (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x -1) -2 x)) (sqrt.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 -2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 -2 x)) (-.f64 (+.f64 2 (*.f64 -2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (*.f64 -2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 2 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 -2 x)) (-.f64 (+.f64 2 (*.f64 -2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 -2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (+.f64 2 (*.f64 -2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (*.f64 -2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 -2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 2 (*.f64 -2 x)) (-.f64 (+.f64 2 (*.f64 -2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 -2 x)) 3)) (+.f64 (pow.f64 (+.f64 2 (*.f64 -2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 2 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (*.f64 -2 x)) 2)) (-.f64 x (+.f64 2 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 -2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 -2 x)) (-.f64 (+.f64 2 (*.f64 -2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 2 (*.f64 -2 x)) 2))) (neg.f64 (-.f64 x (+.f64 2 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (*.f64 -2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 2 (*.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x -1) -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) -2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1) -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1) -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 2 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 -2 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 2 (*.f64 -2 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 -2 x)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1) -2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1) -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1) -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 2 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 (*.f64 -2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (+.f64 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 2 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 -2 x))) 2) (cbrt.f64 (+.f64 2 (*.f64 -2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 2 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (*.f64 -2 x))) (sqrt.f64 (+.f64 2 (*.f64 -2 x))) x))))) |
| 1× | egg-herbie |
| 772× | times-frac_binary64 |
| 716× | fma-def_binary64 |
| 483× | associate-/l*_binary64 |
| 347× | cancel-sign-sub-inv_binary64 |
| 315× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 373 |
| 1 | 131 | 340 |
| 2 | 334 | 339 |
| 3 | 805 | 338 |
| 4 | 1742 | 338 |
| 5 | 4284 | 338 |
| 1× | node limit |
| Inputs |
|---|
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9)))))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (*.f64 -1 x)) |
| Outputs |
|---|
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(fma.f64 -1 x (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(/.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 x -2) (/.f64 2 x)) |
(fma.f64 x -2 (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x)) |
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x)) |
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x))) |
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x)) |
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.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 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.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 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 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.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))))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 25 to 19 computations (24% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) |
| ✓ | 4.8b | (+.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) |
| ✓ | 13.9b | (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))) |
Compiled 73 to 55 computations (24.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 852× | fma-def_binary64 |
| 512× | fma-neg_binary64 |
| 280× | log-div_binary64 |
| 239× | expm1-udef_binary64 |
| 238× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 60 |
| 1 | 302 | 54 |
| 2 | 5028 | 54 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))) |
(+.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) |
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (-.f64 (fma.f64 x -1/2 1) x) (*.f64 x (*.f64 (-.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) (*.f64 x (*.f64 (-.f64 1 x) -1/2))) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) (*.f64 x (*.f64 (-.f64 1 x) -1/2))) (/.f64 1 x))) (/.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) (*.f64 x (*.f64 (-.f64 1 x) -1/2))) 2) (+.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) (*.f64 x (*.f64 (-.f64 1 x) -1/2))) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) (*.f64 x (*.f64 (-.f64 1 x) -1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x -1/2 1) x) (*.f64 x (*.f64 (-.f64 1 x) -1/2))) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) -1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/2))) 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x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 x -1/2))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 x -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/2))) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 x -1/2))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 x -1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 1 x)))))) |
| 1× | egg-herbie |
| 758× | fma-neg_binary64 |
| 518× | associate-*l*_binary64 |
| 463× | cancel-sign-sub-inv_binary64 |
| 415× | associate-*r*_binary64 |
| 299× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 446 |
| 1 | 112 | 432 |
| 2 | 284 | 428 |
| 3 | 816 | 428 |
| 4 | 2633 | 428 |
| 5 | 6861 | 428 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 x) |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))) |
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/2 x) 1) |
(*.f64 -1/2 x) |
(+.f64 1 (*.f64 -1/2 x)) |
(+.f64 1 (*.f64 -1/2 x)) |
(+.f64 1 (*.f64 -1/2 x)) |
(*.f64 -1/2 x) |
(+.f64 1 (*.f64 -1/2 x)) |
(+.f64 1 (*.f64 -1/2 x)) |
(+.f64 1 (*.f64 -1/2 x)) |
| Outputs |
|---|
(/.f64 -2 x) |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(-.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x))) |
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x)) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) x) |
(-.f64 (-.f64 -1 x) (/.f64 2 x)) |
(+.f64 -1 (-.f64 (/.f64 -2 x) x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (fma.f64 -1 (*.f64 x x) (neg.f64 x)) (+.f64 1 (/.f64 2 x))) |
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x)) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x)) |
(-.f64 (-.f64 -1 (/.f64 2 x)) (fma.f64 x x x)) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x 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 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)) |
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x))) |
(+.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 1 (*.f64 x x)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(/.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 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)) |
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x))) |
(+.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 1 (*.f64 x x)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 1 (/.f64 1 x))) |
(+.f64 -1 (neg.f64 (/.f64 1 x))) |
(-.f64 -1 (/.f64 1 x)) |
(+.f64 -1 (/.f64 -1 x)) |
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x))) |
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1 x))) |
(fma.f64 x -1 (-.f64 -1 (/.f64 1 x))) |
(-.f64 (-.f64 -1 (/.f64 1 x)) x) |
(+.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 -1 (+.f64 x (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (/.f64 1 x))) |
(-.f64 (fma.f64 -1 (*.f64 x x) (neg.f64 x)) (+.f64 1 (/.f64 1 x))) |
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -1 x)) |
(-.f64 (-.f64 -1 (/.f64 1 x)) (fma.f64 x x x)) |
(+.f64 -1 (-.f64 (/.f64 -1 x) (fma.f64 x x x))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5)))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5)))) |
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 (*.f64 -1/2 x) 1) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(*.f64 -1/2 x) |
(*.f64 x -1/2) |
(+.f64 1 (*.f64 -1/2 x)) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 1 (*.f64 -1/2 x)) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 1 (*.f64 -1/2 x)) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(*.f64 -1/2 x) |
(*.f64 x -1/2) |
(+.f64 1 (*.f64 -1/2 x)) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 1 (*.f64 -1/2 x)) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
(+.f64 1 (*.f64 -1/2 x)) |
(fma.f64 -1/2 x 1) |
(fma.f64 x -1/2 1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x 4) |
| 0.3b | (/.f64 8 (pow.f64 x 4)) | |
| ✓ | 4.8b | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
Compiled 40 to 30 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 x 4) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
| 1.0ms | x | @ | inf | (pow.f64 x 4) |
| 1× | batch-egg-rewrite |
| 922× | prod-diff_binary64 |
| 550× | log-prod_binary64 |
| 281× | log-div_binary64 |
| 210× | fma-def_binary64 |
| 204× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 17 |
| 1 | 281 | 17 |
| 2 | 4019 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
(pow.f64 x 4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 8 (pow.f64 x -4))) (*.f64 1/4 x))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 8 (pow.f64 x -4))) (*.f64 1/4 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 8 (pow.f64 x -4))) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 8 (pow.f64 x -4))) (*.f64 1/4 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 8 (pow.f64 x -4))) (*.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (*.f64 (pow.f64 x 4) (/.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (pow.f64 x -4) (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (pow.f64 x -4)) (*.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 4) (/.f64 -4 x)))) (pow.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 4) (/.f64 -4 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 4) (/.f64 -4 x)))) 2) (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 4) (/.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 8))) (*.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -4))) (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))) (sqrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -8 (pow.f64 x -4)) (*.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 x) (*.f64 8 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 8))) 1) (/.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -4))) (/.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) 1) (/.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (/.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (pow.f64 (cbrt.f64 (/.f64 -4 x)) 2)) (/.f64 (pow.f64 x -4) (cbrt.f64 (/.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -4 x)) 2)) (/.f64 (*.f64 8 (pow.f64 x -4)) (cbrt.f64 (/.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 8))) (pow.f64 (cbrt.f64 (/.f64 -4 x)) 2)) (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 4) (/.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 -4 x)) 2)) (/.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (cbrt.f64 (/.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (/.f64 2 (sqrt.f64 x))) (/.f64 (pow.f64 x -4) (/.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (sqrt.f64 x))) (/.f64 (*.f64 8 (pow.f64 x -4)) (/.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 8))) (/.f64 2 (sqrt.f64 x))) (/.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -4))) (/.f64 2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8 (pow.f64 x -4)) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8 (pow.f64 x -4)) (-.f64 (*.f64 x 2) (*.f64 x -2))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8 (pow.f64 x -4)) (-.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (+.f64 (pow.f64 (/.f64 -2 x) 2) (/.f64 16 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8 (pow.f64 x -4)) (/.f64 16 (*.f64 x x))) (/.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (cbrt.f64 (*.f64 (pow.f64 x 4) (/.f64 -4 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -4 x) (*.f64 8 (pow.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 64 (pow.f64 x 8)) (/.f64 16 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 8 (pow.f64 x -4))) (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 8 (pow.f64 x -4))) (*.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 8 (pow.f64 x -4)) 3) (pow.f64 (/.f64 -4 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (/.f64 (pow.f64 x -4) (/.f64 -4 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) (cbrt.f64 (exp.f64 (pow.f64 x 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 4) (pow.f64 (cbrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4))))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 474× | fabs-mul_binary64 |
| 456× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 13 | 84 |
| 2 | 24 | 84 |
| 3 | 39 | 84 |
| 4 | 74 | 84 |
| 5 | 214 | 84 |
| 6 | 771 | 84 |
| 7 | 2244 | 84 |
| 8 | 2332 | 84 |
| 9 | 2465 | 84 |
| 10 | 2623 | 84 |
| 11 | 2882 | 84 |
| 12 | 3210 | 84 |
| 13 | 3634 | 84 |
| 14 | 4135 | 84 |
| 15 | 4737 | 84 |
| 16 | 5459 | 84 |
| 17 | 5782 | 84 |
| 18 | 6068 | 84 |
| 19 | 6290 | 84 |
| 20 | 6468 | 84 |
| 21 | 6552 | 84 |
| 22 | 7492 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
| Outputs |
|---|
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
Compiled 20106 to 13517 computations (32.8% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 6 | 665 |
| Fresh | 10 | 4 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 4 | 8 |
| Total | 674 | 14 | 688 |
| Status | Error | Program |
|---|---|---|
| 26.8b | (/.f64 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (-.f64 (pow.f64 x 3) x)) | |
| ✓ | 12.9b | (+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
| 34.0b | (/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) | |
| 0.3b | (/.f64 2 (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) | |
| ✓ | 32.8b | (-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
| 37.5b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) | |
| ✓ | 56.7b | (/.f64 -1 x) |
| ✓ | 32.0b | (/.f64 -2 x) |
| 34.2b | (/.f64 (/.f64 8 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 2 x) (/.f64 -2 x))) | |
| 47.5b | (/.f64 1 (*.f64 x x)) | |
| 30.9b | (*.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (*.f64 1/4 x))) | |
| 31.0b | (/.f64 2 (pow.f64 x 3)) | |
| 33.8b | (*.f64 (/.f64 (*.f64 8 (pow.f64 x -4)) 4) x) | |
| 57.2b | (+.f64 -1 (/.f64 -1 x)) |
Compiled 170 to 126 computations (25.9% saved)
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))) |
(/.f64 (sqrt.f64 (/.f64 64 (pow.f64 x 8))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) |
(/.f64 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (-.f64 (pow.f64 x 3) x)) |
(/.f64 (*.f64 (pow.f64 x -4) 8) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
(*.f64 (/.f64 (*.f64 8 (pow.f64 x -4)) 4) x) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 2 (pow.f64 x 3)) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(/.f64 (+.f64 (*.f64 (-.f64 1 x) (*.f64 x (+.f64 x -1))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x -1)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (/.f64 (sqrt.f64 8) (*.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) |
(/.f64 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (+.f64 1 x) (+.f64 x (*.f64 (+.f64 x -1) -2)))) (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) |
(+.f64 (/.f64 1 x) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(+.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (/.f64 -1 x)) |
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(/.f64 (/.f64 8 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 2 x) (/.f64 -2 x))) |
(*.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 8) (*.f64 x x)) (*.f64 1/4 x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 -1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 -1 (/.f64 -1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 -1 x) |
(/.f64 -2 x) |
| Outputs |
|---|
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
2 calls:
| 51.0ms | x |
| 21.0ms | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
Compiled 787 to 573 computations (27.2% saved)
| Inputs |
|---|
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 -1 (/.f64 -1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 -1 x) |
(/.f64 -2 x) |
| Outputs |
|---|
(+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.9b | 1 | x |
Compiled 63 to 46 computations (27% saved)
Total -44.8b remaining (-254.1%)
Threshold costs -44.8b (-254.1%)
| Inputs |
|---|
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 -1 (/.f64 -1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 -1 x) |
(/.f64 -2 x) |
| Outputs |
|---|
(/.f64 1 (*.f64 x x)) |
(/.f64 -2 x) |
(/.f64 1 (*.f64 x x)) |
1 calls:
| 31.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 3 | x |
Compiled 29 to 19 computations (34.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 4.832892512719917e-13 | 16836.407910250065 |
| 40.0ms | -4068.093615561638 | -9.299042193575494e-6 |
Compiled 20 to 16 computations (20% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 30 | 56 |
| 2 | 33 | 56 |
| 3 | 35 | 56 |
| 4 | 36 | 56 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
(+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
(if (<=.f64 x -2236458116595665/549755813888) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 38290119341174488/79228162514264337593543950336) (/.f64 -2 x) (/.f64 1 (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 (*.f64 x x) x))) |
(+.f64 1 (+.f64 -1 (/.f64 -2 x))) |
(if (<=.f64 x -2236458116595665/549755813888) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 38290119341174488/79228162514264337593543950336) (/.f64 -2 x) (/.f64 1 (*.f64 x x)))) |
(if (<=.f64 x -2236458116595665/549755813888) (/.f64 1 (*.f64 x x)) (if (<=.f64 x 4786264917646811/9903520314283042199192993792) (/.f64 -2 x) (/.f64 1 (*.f64 x x)))) |
Compiled 42 to 29 computations (31% saved)
| 1× | egg-herbie |
| 127× | fma-neg_binary64 |
| 82× | fma-def_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 39× | 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 | 236 | 22 |
| 6 | 395 | 22 |
| 7 | 516 | 22 |
| 8 | 622 | 22 |
| 9 | 642 | 22 |
| 1× | saturated |
Compiled 149 to 122 computations (18.1% saved)
Compiled 40 to 26 computations (35% saved)
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