Time bar (total: 4.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 9.4% | 65.5% | 25.1% | 6 |
| 14% | 60.8% | 25.1% | 7 |
| 14% | 56.2% | 29.8% | 8 |
| 14% | 36.7% | 49.3% | 9 |
| 14.8% | 30.4% | 54.8% | 10 |
| 15.5% | 28.3% | 56.2% | 11 |
| 16.4% | 18.3% | 65.2% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.3s | 8256× | body | 256 | valid |
| 861.0ms | 5562× | body | 256 | invalid |
| 2× | egg-herbie |
| 818× | unswap-sqr_binary64 |
| 574× | times-frac_binary64 |
| 403× | associate-*l*_binary64 |
| 372× | associate-*r*_binary64 |
| 349× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 56 |
| 1 | 55 | 48 |
| 2 | 133 | 48 |
| 3 | 299 | 48 |
| 4 | 540 | 48 |
| 5 | 1222 | 48 |
| 6 | 4925 | 48 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z)) |
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x)) |
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z)) |
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z)) |
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z))) |
(/.f64 (pow.f64 x x) (exp.f64 (-.f64 z y))) |
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x)) |
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) z) x)) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x)) |
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 z x))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y)) |
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y)) |
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y))) |
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 508× | unswap-sqr_binary64 |
| 477× | associate-/l/_binary64 |
| 420× | associate-/r/_binary64 |
| 362× | fma-neg_binary64 |
| 337× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 12 |
| 2 | 41 | 12 |
| 3 | 89 | 12 |
| 4 | 157 | 12 |
| 5 | 313 | 12 |
| 6 | 969 | 12 |
| 7 | 2570 | 12 |
| 8 | 5304 | 12 |
| 9 | 6002 | 12 |
| 10 | 7437 | 12 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z))) |
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
Compiled 20 to 12 computations (40% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 16.3b | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| ▶ | 0b | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
Compiled 23 to 15 computations (34.8% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 y (log.f64 y)) | |
| 0.0b | (+.f64 x (*.f64 y (log.f64 y))) | |
| 0.0b | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) | |
| ✓ | 0.0b | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (log.f64 y))) |
| ✓ | 0.3b | (*.f64 y (log.f64 y)) |
Compiled 35 to 8 computations (77.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | y | @ | 0 | (*.f64 y (log.f64 y)) |
| 20.0ms | y | @ | -inf | (*.f64 y (log.f64 y)) |
| 8.0ms | y | @ | inf | (*.f64 y (log.f64 y)) |
| 5.0ms | z | @ | 0 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 3.0ms | x | @ | 0 | (+.f64 x (*.f64 y (log.f64 y))) |
| 1× | batch-egg-rewrite |
| 505× | fma-def_binary64 |
| 456× | log-prod_binary64 |
| 346× | pow-prod-down_binary64 |
| 339× | exp-prod_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 178 | 23 |
| 2 | 2675 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (log.f64 y)) |
(+.f64 x (*.f64 y (log.f64 y))) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 y y)))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 y y))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 y y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 y y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 (pow.f64 y y)))) (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 (*.f64 x x) (*.f64 (log.f64 (pow.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))) (neg.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (neg.f64 (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 x x)) (-.f64 (log.f64 (pow.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (log.f64 y) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (log.f64 y) x)))) (sqrt.f64 (log.f64 (fma.f64 y (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 y y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 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(sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 x (fma.f64 y (log.f64 y) z)) (pow.f64 (fma.f64 y (log.f64 y) x) 2))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (log.f64 y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) (-.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))))))) |
| 1× | egg-herbie |
| 3781× | fma-def_binary64 |
| 591× | distribute-rgt-in_binary64 |
| 539× | unsub-neg_binary64 |
| 460× | fma-neg_binary64 |
| 447× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 557 |
| 1 | 66 | 557 |
| 2 | 129 | 505 |
| 3 | 337 | 505 |
| 4 | 772 | 505 |
| 5 | 1597 | 505 |
| 6 | 3533 | 505 |
| 7 | 4164 | 505 |
| 8 | 4408 | 505 |
| 9 | 4483 | 505 |
| 10 | 4510 | 505 |
| 11 | 4515 | 505 |
| 12 | 4699 | 505 |
| 13 | 5838 | 505 |
| 14 | 6172 | 505 |
| 15 | 6260 | 505 |
| 16 | 6302 | 505 |
| 17 | 6322 | 505 |
| 18 | 6560 | 505 |
| 19 | 6672 | 505 |
| 20 | 6708 | 505 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(-.f64 (*.f64 y (log.f64 y)) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(*.f64 y (log.f64 y)) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
x |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) |
(fma.f64 y (log.f64 y) x) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) |
(fma.f64 y (log.f64 y) x) |
(-.f64 (*.f64 y (log.f64 y)) z) |
(fma.f64 y (log.f64 y) (neg.f64 z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
x |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 x z) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) |
(neg.f64 (*.f64 y (neg.f64 (log.f64 y)))) |
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y)) |
(*.f64 y (log.f64 y)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 y (log.f64 y)) x) |
(fma.f64 y (log.f64 y) x) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)) |
(-.f64 (fma.f64 y (log.f64 y) x) z) |
(fma.f64 y (log.f64 y) (-.f64 x z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) | |
| ✓ | 0.7b | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
Compiled 24 to 7 computations (70.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 10.0ms | x | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | z | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| 1× | batch-egg-rewrite |
| 487× | prod-diff_binary64 |
| 458× | log-prod_binary64 |
| 350× | exp-prod_binary64 |
| 274× | pow-prod-down_binary64 |
| 248× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 177 | 12 |
| 2 | 2502 | 12 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (-.f64 z x))) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) y) (*.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (neg.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) 1) (/.f64 (pow.f64 (sqrt.f64 y) y) (exp.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) -2) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sqrt.f64 y) y) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 z x))) 2)) (/.f64 (pow.f64 (sqrt.f64 y) y) (cbrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 z x)) -1/2) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 (-.f64 z x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x))) 2)) (cbrt.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)))) (sqrt.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 (-.f64 z x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (-.f64 z x) (*.f64 y (log.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) (-.f64 z x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))))))))) |
| 1× | egg-herbie |
| 483× | fma-def_binary64 |
| 455× | associate-*l*_binary64 |
| 443× | associate-*r*_binary64 |
| 312× | unsub-neg_binary64 |
| 276× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 606 |
| 1 | 291 | 560 |
| 2 | 1067 | 458 |
| 3 | 6386 | 456 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (exp.f64 (-.f64 z x))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x))))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z))))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
| Outputs |
|---|
(/.f64 1 (exp.f64 (-.f64 z x))) |
(exp.f64 (neg.f64 (-.f64 z x))) |
(exp.f64 (-.f64 x z)) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (*.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y))) |
(fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))) |
(fma.f64 (*.f64 y (exp.f64 (-.f64 x z))) (log.f64 y) (exp.f64 (-.f64 x z))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x))) (*.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y)))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x)))) (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z)))) |
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 y (exp.f64 (-.f64 x z))) (log.f64 y) (exp.f64 (-.f64 x z)))) |
(+.f64 (/.f64 1 (exp.f64 (-.f64 z x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x)))) (+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x))))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 z x)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (-.f64 z x)))))) |
(+.f64 (exp.f64 (neg.f64 (-.f64 z x))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 z x))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 y 3))) (*.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y))))) |
(+.f64 (/.f64 (pow.f64 y 3) (/.f64 (/.f64 (exp.f64 (-.f64 z x)) (pow.f64 (log.f64 y) 3)) 1/6)) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 (*.f64 y y) (exp.f64 (-.f64 z x)))) (fma.f64 (/.f64 y (exp.f64 (-.f64 z x))) (log.f64 y) (exp.f64 (-.f64 x z))))) |
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 y (log.f64 y)) (exp.f64 (-.f64 x z)))) (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 (pow.f64 y 3) (exp.f64 (-.f64 x z)))) (exp.f64 (-.f64 x z)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(fma.f64 -1 (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 x) (-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(fma.f64 -1 (*.f64 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 z z)) (fma.f64 -1 (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 z z) (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))))) |
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 z (*.f64 z -1/2)) z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y y) z) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 -1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1 (*.f64 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 z z)) (fma.f64 -1 (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))) (fma.f64 -1 (*.f64 (pow.f64 z 3) (fma.f64 -1 (/.f64 (*.f64 -1/2 (pow.f64 y y)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3))) (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))))) |
(fma.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x)))) (*.f64 z z) (-.f64 (-.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 z 3) (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) -1/3 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))))))) (/.f64 (*.f64 z (pow.f64 y y)) (exp.f64 (neg.f64 x))))) |
(-.f64 (-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 1/6 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 y y)) (exp.f64 x)))) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 z (*.f64 z -1/2)) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 x (/.f64 (exp.f64 z) (pow.f64 y y)))) |
(fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (/.f64 x (/.f64 (exp.f64 z) (pow.f64 y y))) (*.f64 x (*.f64 x (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z)))))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z))))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (/.f64 (*.f64 (pow.f64 y y) x) (exp.f64 z)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y y) (exp.f64 z))) (*.f64 -1 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 2)))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6)) (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -1/2) (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 x (/.f64 (exp.f64 z) (pow.f64 y y))) (*.f64 x (*.f64 x (/.f64 (*.f64 (pow.f64 y y) -1/2) (exp.f64 z))))) (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) -7/6 (/.f64 (pow.f64 y y) (exp.f64 z)))) (pow.f64 x 3) (/.f64 (pow.f64 y y) (exp.f64 z)))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x)))) (*.f64 (*.f64 (/.f64 -1/6 (exp.f64 z)) (pow.f64 y y)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (pow.f64 x 3) (/.f64 1/6 (/.f64 (exp.f64 z) (pow.f64 y y))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (-.f64 x (*.f64 -1/2 (*.f64 x x)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 (*.f64 -1 x) z))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 z x)))) |
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x))) |
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)) |
Compiled 5182 to 1729 computations (66.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 313 | 4 | 317 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 315 | 4 | 319 |
| Status | Error | Program |
|---|---|---|
| ▶ | 28.1b | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| ▶ | 1.0b | (exp.f64 (-.f64 x z)) |
| ▶ | 20.7b | (exp.f64 (neg.f64 z)) |
| ▶ | 28.1b | (*.f64 (pow.f64 y y) (exp.f64 x)) |
Compiled 32 to 23 computations (28.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (pow.f64 y y) (exp.f64 x)) | |
| ✓ | 0.0b | (*.f64 (pow.f64 y y) (exp.f64 x)) |
Compiled 16 to 6 computations (62.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (pow.f64 y y) (exp.f64 x)) |
| 1.0ms | y | @ | inf | (*.f64 (pow.f64 y y) (exp.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (pow.f64 y y) (exp.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 y y) (exp.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 y y) (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 564× | pow1_binary64 |
| 518× | add-log-exp_binary64 |
| 518× | log1p-expm1-u_binary64 |
| 518× | expm1-log1p-u_binary64 |
| 504× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 119 | 9 |
| 2 | 1434 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 y y) (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))))) |
| 1× | egg-herbie |
| 778× | unswap-sqr_binary64 |
| 553× | distribute-rgt-in_binary64 |
| 549× | distribute-lft-in_binary64 |
| 532× | *-commutative_binary64 |
| 349× | distribute-rgt-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 187 |
| 1 | 114 | 182 |
| 2 | 361 | 168 |
| 3 | 1583 | 155 |
| 4 | 3194 | 148 |
| 5 | 7701 | 148 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 x) |
(+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x)))) |
| Outputs |
|---|
(exp.f64 x) |
(+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)) |
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)) |
(*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (exp.f64 x)) |
(*.f64 (exp.f64 x) (+.f64 1 (*.f64 y (log.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))) |
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))) |
(fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2)))))) |
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))))) |
(*.f64 (exp.f64 x) (+.f64 1 (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))) |
(fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 (exp.f64 x) (pow.f64 y 3))) (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))) |
(+.f64 (exp.f64 x) (fma.f64 1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2))))))) |
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2)))))))) |
(*.f64 (exp.f64 x) (+.f64 (+.f64 1 (*.f64 y (log.f64 y))) (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 y (*.f64 y 1/2)) (*.f64 (log.f64 y) (*.f64 1/6 (pow.f64 y 3))))))) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))) |
(*.f64 (+.f64 x 1) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (+.f64 x 1)) |
(+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x))) |
(+.f64 (pow.f64 y y) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x)) (*.f64 x (pow.f64 y y)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x))) (*.f64 (+.f64 x 1) (pow.f64 y y))) |
(*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x 1))) |
(*.f64 (pow.f64 y y) (+.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x)))) |
(fma.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (pow.f64 y y) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x)) (*.f64 x (pow.f64 y y))))) |
(fma.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x))) (*.f64 (+.f64 x 1) (pow.f64 y y)))) |
(fma.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (*.f64 (pow.f64 y y) (+.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 x 1)))) |
(*.f64 (pow.f64 y y) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))))) |
(*.f64 (pow.f64 y y) (+.f64 x (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))))) |
Compiled 9 to 5 computations (44.4% saved)
Compiled 12 to 5 computations (58.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) | |
| ✓ | 0.0b | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
Compiled 20 to 7 computations (65% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| 1.0ms | y | @ | 0 | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| 1.0ms | y | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| 1.0ms | x | @ | inf | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 676× | pow1_binary64 |
| 626× | add-log-exp_binary64 |
| 625× | log1p-expm1-u_binary64 |
| 625× | expm1-log1p-u_binary64 |
| 611× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 149 | 9 |
| 2 | 1998 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y y) y)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (pow.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 y (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))))) |
| 1× | egg-herbie |
| 495× | associate-/l/_binary64 |
| 482× | fma-neg_binary64 |
| 469× | distribute-rgt-in_binary64 |
| 411× | distribute-lft-in_binary64 |
| 279× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 281 |
| 1 | 157 | 246 |
| 2 | 511 | 210 |
| 3 | 3092 | 190 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (/.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x)))) (/.f64 1 (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 1 (exp.f64 (neg.f64 x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (neg.f64 x))))))) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (+.f64 (*.f64 (pow.f64 y y) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (+.f64 (pow.f64 y y) (*.f64 -1/6 (pow.f64 y y)))) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (*.f64 (pow.f64 y y) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 x 2)))))) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
| Outputs |
|---|
(/.f64 1 (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 (neg.f64 x))) |
(exp.f64 x) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (/.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 (neg.f64 x))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 x) (*.f64 (/.f64 y (exp.f64 (neg.f64 x))) (log.f64 y))) |
(*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) 1)) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x)))) (/.f64 1 (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (/.f64 y (exp.f64 (neg.f64 x))) (log.f64 y)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 (neg.f64 x))) (pow.f64 (log.f64 y) 2)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y)))))) |
(*.f64 (exp.f64 x) (+.f64 1 (*.f64 (log.f64 y) (+.f64 y (*.f64 1/2 (*.f64 (log.f64 y) (*.f64 y y))))))) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 1 (exp.f64 (neg.f64 x))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (neg.f64 x))))))) |
(+.f64 (/.f64 (*.f64 y (log.f64 y)) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 (neg.f64 x)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 (neg.f64 x)))))) |
(+.f64 (*.f64 (/.f64 y (exp.f64 (neg.f64 x))) (log.f64 y)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (exp.f64 (neg.f64 x))) (pow.f64 (log.f64 y) 2)) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 (neg.f64 x))) (pow.f64 (log.f64 y) 3)) (exp.f64 x)))) |
(+.f64 (*.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))) 1)) (*.f64 (exp.f64 x) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) (*.f64 y (log.f64 y))))) |
(*.f64 (exp.f64 x) (+.f64 (*.f64 (log.f64 y) (+.f64 y (*.f64 1/2 (*.f64 (log.f64 y) (*.f64 y y))))) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) 1))) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))) |
(*.f64 (+.f64 x 1) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (+.f64 1 x)) |
(+.f64 (pow.f64 y y) (+.f64 (*.f64 (pow.f64 y y) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 x 2))))) |
(+.f64 (pow.f64 y y) (fma.f64 (pow.f64 y y) x (neg.f64 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 x x))))) |
(-.f64 (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 (pow.f64 y y) (*.f64 -1/2 (*.f64 x x)))) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (-.f64 x (*.f64 (*.f64 x x) -1/2)))) |
(*.f64 (pow.f64 y y) (-.f64 (+.f64 1 x) (*.f64 (*.f64 x x) -1/2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (+.f64 (pow.f64 y y) (*.f64 -1/6 (pow.f64 y y)))) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (*.f64 (pow.f64 y y) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 x 2)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (pow.f64 y y) (*.f64 5/6 (pow.f64 y y))) (pow.f64 x 3)) (+.f64 (pow.f64 y y) (fma.f64 (pow.f64 y y) x (neg.f64 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 x x)))))) |
(-.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 (pow.f64 y y) (*.f64 -1/2 (*.f64 x x)))) (*.f64 (*.f64 (pow.f64 y y) -1/6) (pow.f64 x 3))) |
(+.f64 (*.f64 (pow.f64 y y) (-.f64 x (*.f64 (*.f64 x x) -1/2))) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (pow.f64 y y)) (pow.f64 y y))) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (-.f64 (+.f64 x (*.f64 1/2 (*.f64 x x))) (*.f64 -1/6 (pow.f64 x 3))))) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
(/.f64 (pow.f64 y y) (exp.f64 (*.f64 -1 x))) |
(/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 x) (pow.f64 y y)) |
Compiled 969 to 354 computations (63.5% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 3 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 1 | 3 |
| Total | 72 | 5 | 77 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.7b | (exp.f64 (neg.f64 z)) |
| ▶ | 46.1b | (pow.f64 y y) |
| ✓ | 28.1b | (/.f64 (pow.f64 y y) (exp.f64 (neg.f64 x))) |
| ▶ | 20.2b | (exp.f64 x) |
| ▶ | 46.2b | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
Compiled 37 to 27 computations (27% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (pow.f64 y y) (+.f64 x 1)) | |
| ✓ | 0.0b | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
| 1.0ms | y | @ | inf | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
| 0.0ms | y | @ | -inf | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 761× | pow1_binary64 |
| 709× | add-log-exp_binary64 |
| 709× | log1p-expm1-u_binary64 |
| 709× | expm1-log1p-u_binary64 |
| 692× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 152 | 10 |
| 2 | 1991 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 y y) (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 y y) x) 1) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y y) x) 3) (pow.f64 (pow.f64 y y) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 y y) x) (*.f64 (pow.f64 y y) x)) (-.f64 (pow.f64 y (+.f64 y y)) (*.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y y) x) (*.f64 (pow.f64 y y) x)) (pow.f64 y (+.f64 y y))) (-.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (pow.f64 y y)) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (pow.f64 y y)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (pow.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y y) x (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y y) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 752× | associate-*r/_binary64 |
| 611× | distribute-lft-in_binary64 |
| 609× | distribute-rgt-in_binary64 |
| 533× | associate-+l+_binary64 |
| 429× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 303 |
| 1 | 95 | 303 |
| 2 | 324 | 298 |
| 3 | 1718 | 288 |
| 4 | 5808 | 282 |
| 5 | 7051 | 282 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) x)) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3)))) (+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x)))) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (pow.f64 y y) x) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (pow.f64 y y) x) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
| Outputs |
|---|
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) x)) |
(+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) x)) |
(*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (+.f64 1 x)) |
(*.f64 (+.f64 1 x) (+.f64 1 (*.f64 y (log.f64 y)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x))) |
(+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) x))) |
(+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x))) |
(+.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2)))))) |
(*.f64 (+.f64 1 x) (+.f64 (+.f64 1 (*.f64 y (log.f64 y))) (*.f64 1/2 (*.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))))) |
(*.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))) y)) 1) (+.f64 1 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3)))) (+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x)))) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3))) (+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) x)))) |
(+.f64 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x)) (fma.f64 1/6 (*.f64 (+.f64 1 x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 y 3))) 1)) |
(+.f64 x (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 (+.f64 1 x) (pow.f64 y 3))) 1) (*.f64 (+.f64 1 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2))))))) |
(+.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2)))))))) |
(*.f64 (+.f64 1 x) (+.f64 (+.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 (log.f64 y) (+.f64 (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))) y)))) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) x) |
(*.f64 x (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) x) |
(*.f64 x (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 7 to 4 computations (42.9% saved)
Compiled 465 to 228 computations (51% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 33 | 2 | 35 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 34 | 6 | 40 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.7b | (exp.f64 (neg.f64 z)) |
| ✓ | 46.1b | (pow.f64 y y) |
| ▶ | 46.7b | (+.f64 1 x) |
| ▶ | 46.2b | (-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) |
| ✓ | 20.2b | (exp.f64 x) |
| ✓ | 46.2b | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
Compiled 47 to 36 computations (23.4% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) | |
| 0.0b | (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) | |
| 0.0b | (*.f64 (pow.f64 y y) (+.f64 x 1)) | |
| 0.0b | (*.f64 (pow.f64 y y) (+.f64 x 1)) | |
| ✓ | 0.0b | (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) |
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) |
Compiled 39 to 22 computations (43.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) |
| 0.0ms | y | @ | 0 | (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) |
| 0.0ms | y | @ | inf | (-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) |
| 0.0ms | y | @ | -inf | (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) |
| 0.0ms | x | @ | 0 | (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 903× | prod-diff_binary64 |
| 593× | fma-def_binary64 |
| 438× | log-prod_binary64 |
| 278× | fma-neg_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 213 | 21 |
| 2 | 3064 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) |
(+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (pow.f64 y y) (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y y) x) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 y y) x) 1) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (pow.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (pow.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 y y) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) (sqrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1) 2) (fma.f64 (pow.f64 y y) (+.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1) 2) -1) (/.f64 1 (fma.f64 (pow.f64 y y) (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 3)) (fma.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) (fma.f64 (pow.f64 y y) (+.f64 1 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 2) (-.f64 1 (*.f64 (pow.f64 y y) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 2)) (-.f64 1 (*.f64 (pow.f64 y y) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 3))) (neg.f64 (fma.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) (fma.f64 (pow.f64 y y) (+.f64 1 x) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 2))) (neg.f64 (-.f64 1 (*.f64 (pow.f64 y y) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (fma.f64 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(pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y y) x (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y y) (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y y) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 x) (pow.f64 y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y y) (+.f64 1 x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y y)) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (*.f64 (cbrt.f64 (pow.f64 y y)) x) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y (+.f64 y y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y y)) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) (sqrt.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1) 2) (fma.f64 (pow.f64 y y) (+.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 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(*.f64 (pow.f64 y y) x)) (sqrt.f64 (*.f64 (pow.f64 y y) x)) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 x)) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 y y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 y y))) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y y) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 y (+.f64 y y)))) (cbrt.f64 (pow.f64 y y)) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y)) (+.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y y) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y y) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 y (+.f64 y y)))) (cbrt.f64 (pow.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 x) (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 y y) (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 (pow.f64 y y) (+.f64 1 x) 2))))))) |
| 1× | egg-herbie |
| 753× | associate-*r/_binary64 |
| 611× | distribute-lft-in_binary64 |
| 609× | distribute-rgt-in_binary64 |
| 417× | *-commutative_binary64 |
| 344× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 660 |
| 1 | 116 | 626 |
| 2 | 390 | 617 |
| 3 | 1987 | 597 |
| 4 | 4813 | 591 |
| 5 | 6254 | 591 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) x)) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3)))) (+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x)))) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (pow.f64 y y) x) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (pow.f64 y y) x) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) x)) |
(+.f64 2 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3)))) (+.f64 2 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x)))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(+.f64 1 (pow.f64 y y)) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(*.f64 (pow.f64 y y) x) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(*.f64 (pow.f64 y y) x) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
| Outputs |
|---|
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) x)) |
(+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) x)) |
(*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (+.f64 1 x)) |
(*.f64 (+.f64 1 x) (+.f64 1 (*.f64 y (log.f64 y)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x))) |
(+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) x))) |
(+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (+.f64 1 x) (*.f64 y y))) x))) |
(+.f64 1 (+.f64 x (*.f64 (+.f64 1 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))))))) |
(+.f64 1 (+.f64 x (*.f64 (*.f64 (+.f64 1 x) (log.f64 y)) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))))) |
(*.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))) 1) (+.f64 1 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3)))) (+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x)))) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3))) (+.f64 1 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) x)))) |
(+.f64 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (+.f64 1 x) (*.f64 y y))) x)) (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 (+.f64 1 x) (pow.f64 y 3))) 1)) |
(+.f64 x (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 (+.f64 1 x) (pow.f64 y 3))) 1) (*.f64 (+.f64 1 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))))))) |
(+.f64 1 (+.f64 x (*.f64 (+.f64 1 x) (+.f64 (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))))))) |
(*.f64 (+.f64 1 x) (+.f64 (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))) 1))) |
(*.f64 (+.f64 1 x) (+.f64 (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 (log.f64 y) (*.f64 1/6 (pow.f64 y 3))) (*.f64 y (*.f64 y 1/2)))) (+.f64 1 (*.f64 y (log.f64 y))))) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(pow.f64 y y) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) x) |
(*.f64 x (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) x) |
(*.f64 x (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x)) |
(*.f64 (+.f64 1 x) (pow.f64 y y)) |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) x)) |
(+.f64 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) x) 2) |
(fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (+.f64 x 2)) |
(+.f64 2 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x))) |
(+.f64 2 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) x))) |
(+.f64 2 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (+.f64 1 x) (*.f64 y y))) x))) |
(+.f64 2 (+.f64 x (*.f64 (+.f64 1 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))))))) |
(+.f64 2 (+.f64 x (*.f64 (*.f64 (+.f64 1 x) (log.f64 y)) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3)))) (+.f64 2 (+.f64 (*.f64 (+.f64 1 x) (*.f64 y (log.f64 y))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)))) x)))) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 3))) (+.f64 2 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 x) (pow.f64 (log.f64 y) 2)) (*.f64 y y)) x)))) |
(+.f64 (fma.f64 (+.f64 1 x) (*.f64 y (log.f64 y)) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (+.f64 1 x) (*.f64 y y))) x)) (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 (+.f64 1 x) (pow.f64 y 3))) 2)) |
(+.f64 x (+.f64 (*.f64 (+.f64 1 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))))) (fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 (+.f64 1 x) (pow.f64 y 3))) 2))) |
(+.f64 x (+.f64 2 (*.f64 (+.f64 1 x) (+.f64 (*.f64 (log.f64 y) (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))))))) |
(+.f64 x (+.f64 2 (*.f64 (+.f64 1 x) (*.f64 (log.f64 y) (+.f64 (+.f64 y (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2)))) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 1/6 (pow.f64 y 3)))))))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (pow.f64 y y)) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(*.f64 (pow.f64 y y) x) |
(*.f64 x (pow.f64 y y)) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(*.f64 (pow.f64 y y) x) |
(*.f64 x (pow.f64 y y)) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
(+.f64 1 (+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))) |
(+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 y y))) |
(fma.f64 (+.f64 1 x) (pow.f64 y y) 1) |
Compiled 8 to 6 computations (25% saved)
Compiled 4355 to 2363 computations (45.7% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 1 | 251 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 250 | 7 | 257 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.7b | (exp.f64 (neg.f64 z)) |
| ✓ | 46.1b | (pow.f64 y y) |
| 46.7b | (-.f64 (+.f64 2 x) 1) | |
| ✓ | 46.7b | (+.f64 1 x) |
| ✓ | 46.2b | (-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) |
| ✓ | 20.2b | (exp.f64 x) |
| ✓ | 46.2b | (*.f64 (pow.f64 y y) (+.f64 x 1)) |
Compiled 55 to 43 computations (21.8% saved)
| Inputs |
|---|
(+.f64 1 x) |
(-.f64 (+.f64 2 x) 1) |
(exp.f64 x) |
(pow.f64 y y) |
(exp.f64 (neg.f64 z)) |
(*.f64 (pow.f64 y y) (+.f64 x 1)) |
(-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (+.f64 x 1))) 1) |
| Outputs |
|---|
(exp.f64 x) |
(exp.f64 (neg.f64 z)) |
3 calls:
| 39.0ms | y |
| 11.0ms | z |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | x |
| 13.9b | 8 | y |
| 1.0b | 2 | z |
Compiled 49 to 32 computations (34.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 3.3257359829344634e-15 | 2.101779557187029e-14 |
Compiled 96 to 79 computations (17.7% saved)
| Inputs |
|---|
(+.f64 1 x) |
(-.f64 (+.f64 2 x) 1) |
(exp.f64 x) |
(pow.f64 y y) |
| Outputs |
|---|
(exp.f64 x) |
3 calls:
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.2b | 1 | x |
| 20.2b | 1 | y |
| 20.2b | 1 | z |
Compiled 28 to 20 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
(+.f64 1 x) |
(-.f64 (+.f64 2 x) 1) |
| Outputs |
|---|
(+.f64 1 x) |
3 calls:
| 6.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 46.7b | 1 | x |
| 46.7b | 1 | y |
| 46.7b | 1 | z |
Compiled 23 to 18 computations (21.7% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 18 | 21 |
| 2 | 20 | 21 |
| 3 | 21 | 21 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z 8493259021529137/2535301200456458802993406410752) (exp.f64 x) (exp.f64 (neg.f64 z))) |
(exp.f64 x) |
(+.f64 1 x) |
| Outputs |
|---|
(if (<=.f64 z 8493259021529137/2535301200456458802993406410752) (exp.f64 x) (exp.f64 (neg.f64 z))) |
(exp.f64 x) |
(+.f64 1 x) |
(+.f64 x 1) |
| 1× | fuel |
Compiled 40 to 29 computations (27.5% saved)
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