Time bar (total: 3.9s)
| 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 |
| 6.2% | 93.6% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 20.3% | 79.6% | 0.1% | 8 |
| 35.5% | 64.4% | 0.1% | 9 |
| 40% | 59.9% | 0.1% | 10 |
| 50.5% | 49.3% | 0.1% | 11 |
| 63.4% | 36.4% | 0.1% | 12 |
| 66.3% | 33.5% | 0.1% | 13 |
| 73% | 26.8% | 0.1% | 14 |
Compiled 16 to 11 computations (31.3% saved)
| 1.1s | 8256× | body | 128 | valid |
Compiled 32 to 22 computations (31.3% saved)
| 2× | egg-herbie |
| 930× | fma-neg_binary64 |
| 478× | fma-def_binary64 |
| 469× | div-sub_binary64 |
| 332× | times-frac_binary64 |
| 288× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 60 | 72 |
| 2 | 98 | 72 |
| 3 | 143 | 72 |
| 4 | 221 | 72 |
| 5 | 354 | 72 |
| 6 | 549 | 72 |
| 7 | 806 | 72 |
| 8 | 1175 | 72 |
| 9 | 1662 | 64 |
| 10 | 2534 | 64 |
| 11 | 4284 | 64 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y)))) |
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 x y))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 x y))))) |
(+.f64 y (/.f64 x (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) |
(+.f64 y (/.f64 x (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(-.f64 y (/.f64 x (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 z y)))) |
(+.f64 z (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 x)) (*.f64 y z)))) |
(+.f64 z (/.f64 y (neg.f64 (fma.f64 (exp.f64 x) -5641895835477563/5000000000000000 (*.f64 y z))))) |
(-.f64 z (/.f64 y (fma.f64 (exp.f64 x) -5641895835477563/5000000000000000 (*.f64 y z)))) |
(-.f64 z (/.f64 y (fma.f64 y z (*.f64 (exp.f64 x) -5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 z (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 y)) (*.f64 x z)))) |
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 (exp.f64 y) -5641895835477563/5000000000000000)))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 881× | fma-def_binary64 |
| 768× | fma-neg_binary64 |
| 655× | div-sub_binary64 |
| 305× | associate-/l/_binary64 |
| 251× | times-frac_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 20 | 18 |
| 2 | 35 | 18 |
| 3 | 52 | 18 |
| 4 | 81 | 18 |
| 5 | 127 | 18 |
| 6 | 205 | 18 |
| 7 | 293 | 18 |
| 8 | 396 | 18 |
| 9 | 539 | 16 |
| 10 | 727 | 16 |
| 11 | 1179 | 16 |
| 12 | 2241 | 16 |
| 13 | 4295 | 16 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
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 |
|---|---|---|
| 1.8b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) | |
| ▶ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
Compiled 84 to 56 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| ✓ | 0.0b | (/.f64 (exp.f64 z) y) |
| ✓ | 0.1b | (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
| ✓ | 0.1b | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
| 3.0ms | y | @ | inf | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
| 2.0ms | z | @ | 0 | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| 2.0ms | z | @ | 0 | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
| 2.0ms | z | @ | inf | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
| 1× | batch-egg-rewrite |
| 681× | prod-diff_binary64 |
| 212× | expm1-udef_binary64 |
| 212× | log1p-udef_binary64 |
| 120× | add-sqr-sqrt_binary64 |
| 116× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 233 | 45 |
| 2 | 3083 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(/.f64 (exp.f64 z) y) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| Outputs |
|---|
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log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2))) (/.f64 -1 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) (sqrt.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1)))))) |
| 1× | egg-herbie |
| 712× | associate-/l*_binary64 |
| 621× | associate-/r*_binary64 |
| 497× | fma-def_binary64 |
| 150× | distribute-rgt-in_binary64 |
| 133× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 2813 |
| 1 | 467 | 2793 |
| 2 | 1699 | 2634 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4))))))))))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)))))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
x |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) |
(/.f64 1 y) |
(+.f64 (/.f64 z y) (/.f64 1 y)) |
(+.f64 (/.f64 z y) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (/.f64 z y) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 z 3) y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) y))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) x))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4))))))))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
| Outputs |
|---|
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(/.f64 -1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) |
(/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) |
(neg.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))) |
(-.f64 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) (/.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))) |
(fma.f64 (/.f64 z (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) -5641895835477563/5000000000000000 (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))))) |
(neg.f64 (fma.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 z z) (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))))) |
(-.f64 (*.f64 (/.f64 (*.f64 z z) (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) -5641895835477563/10000000000000000) (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(fma.f64 (*.f64 (/.f64 z y) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) -5641895835477563/10000000000000000 (-.f64 (*.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) (/.f64 z (*.f64 y y)))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4))))))))))) |
(neg.f64 (fma.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 z z) (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (*.f64 y y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 3))) (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) (fma.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 4)))))))))) |
(-.f64 (*.f64 (/.f64 (*.f64 z z) (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) -5641895835477563/10000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4)) (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)))))))) |
(-.f64 (*.f64 (*.f64 (/.f64 z y) (/.f64 z (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) -5641895835477563/10000000000000000) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 3) (/.f64 z (*.f64 y y)))) (fma.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 4)) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))))))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))) |
(/.f64 -1 (+.f64 x (*.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000))) |
(/.f64 -1 (fma.f64 (/.f64 (exp.f64 z) y) -5641895835477563/5000000000000000 x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z)) |
(*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (*.f64 y y))) (pow.f64 (exp.f64 z) 2))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 y y)) (pow.f64 (exp.f64 z) 2))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (exp.f64 z) 2)) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3))))) |
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(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 1 x))))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 1 x))) |
(+.f64 x (fma.f64 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) -5641895835477563/5000000000000000 (/.f64 -1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (/.f64 1 x)))) |
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 1 x)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 1 x)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))) |
(-.f64 x (+.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 1 x)) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))))))) |
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (fma.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 1 x))))) |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 3 | 186 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 183 | 5 | 188 |
| Status | Error | Program |
|---|---|---|
| 8.6b | (+.f64 x (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) | |
| 1.8b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) | |
| 29.9b | (+.f64 x (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 y y)) (pow.f64 (exp.f64 z) 2)))) | |
| ▶ | 1.3b | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
Compiled 4242 to 2509 computations (40.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) | |
| 0.1b | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) | |
| ✓ | 0.6b | (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| 18.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| 12.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| 6.0ms | x | @ | 0 | (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) |
| 6.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| 1× | batch-egg-rewrite |
| 681× | prod-diff_binary64 |
| 241× | log1p-udef_binary64 |
| 140× | add-sqr-sqrt_binary64 |
| 133× | pow1_binary64 |
| 132× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 34 |
| 1 | 300 | 34 |
| 2 | 3567 | 34 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
(cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (/.f64 (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)) (+.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -1 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x)))) 2) 1) (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/6)) (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/6) (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 x x) (/.f64 1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2)))) (cbrt.f64 (+.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (-.f64 (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) 1)))))) |
| 1× | egg-herbie |
| 436× | associate-*r*_binary64 |
| 402× | fma-def_binary64 |
| 310× | associate-*l*_binary64 |
| 207× | times-frac_binary64 |
| 180× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 442 | 5235 |
| 1 | 1403 | 5077 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x)) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x)) (+.f64 (*.f64 5641895835477563/101250000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 y 2)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))) (+.f64 (*.f64 20000000000000000/152331187557894201 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (*.f64 500000000000000000000000000000000000000000000000/4848852297379497502124196442486817262870851498769 (*.f64 (pow.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))))))))))) (+.f64 (*.f64 2500000000000000000000000000000000000000000000000000000000000000/27356719583431200821320852527195128983460489126316721181421619947 (*.f64 (pow.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))) (+.f64 (*.f64 62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))) (+.f64 (*.f64 4/81 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))) (*.f64 100000000000000000000000000000000/859436692696234852916263463312163 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 x (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (*.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))) (pow.f64 (pow.f64 (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) 4) 1/9))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (*.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))) (pow.f64 (pow.f64 (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) 4) 1/9))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))) (pow.f64 (pow.f64 (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) 4) 1/9))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4))))))))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (/.f64 y (exp.f64 z)) (pow.f64 (pow.f64 x 4) 1/9))) x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (/.f64 y (exp.f64 z)) (pow.f64 (pow.f64 x 4) 1/9))) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 (/.f64 y (exp.f64 z)) (pow.f64 (pow.f64 x 4) 1/9))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 (pow.f64 (pow.f64 (-.f64 x (/.f64 1 x)) 4) 1/9) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 (pow.f64 (pow.f64 (-.f64 x (/.f64 1 x)) 4) 1/9) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 (pow.f64 (pow.f64 (-.f64 x (/.f64 1 x)) 4) 1/9) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(-.f64 x (/.f64 1 x)) |
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(-.f64 (pow.f64 (-.f64 x (/.f64 1 x)) 1/3) (+.f64 (*.f64 5641895835477563/15000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)) 1/9) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 31830988618379068626528276418969/225000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 7)) 1/9) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 4))))) (*.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 (pow.f64 (-.f64 x (/.f64 1 x)) 1/3) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/2025000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 4)) 1/3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 6))))) (+.f64 (*.f64 5641895835477563/15000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)) 1/9) (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/562500000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 11)) 1/9) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 5))))) (+.f64 (*.f64 31830988618379068626528276418969/225000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 7)) 1/9) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 4))))) (+.f64 (*.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (*.f64 179587122125166574152748016388400639365587092547/375000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)) 1/3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))))))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18)))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x)) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18))))) (/.f64 (*.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x)) (+.f64 (*.f64 5641895835477563/101250000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 y 2)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4) 1/3) x))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))) (+.f64 (*.f64 20000000000000000/152331187557894201 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (*.f64 500000000000000000000000000000000000000000000000/4848852297379497502124196442486817262870851498769 (*.f64 (pow.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10)) 1/3) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)))))))))))) (+.f64 (*.f64 2500000000000000000000000000000000000000000000000000000000000000/27356719583431200821320852527195128983460489126316721181421619947 (*.f64 (pow.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))) (+.f64 (*.f64 62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (*.f64 (pow.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))) (+.f64 (*.f64 4/81 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 y 2)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))) (*.f64 100000000000000000000000000000000/859436692696234852916263463312163 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))))))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (fma.f64 5641895835477563/101250000000000000 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (*.f64 (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (*.f64 (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)) (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)))) (fma.f64 20000000000000000/152331187557894201 (*.f64 (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)) (cbrt.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 x x))) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (exp.f64 z) 4) (pow.f64 x 3))) (*.f64 500000000000000000000000000000000000000000000000/4848852297379497502124196442486817262870851498769 (*.f64 (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)) (cbrt.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10))))))))))))) (fma.f64 2500000000000000000000000000000000000000000000000000000000000000/27356719583431200821320852527195128983460489126316721181421619947 (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10))) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2))) (fma.f64 62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16))) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2))) (fma.f64 4/81 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2))) (*.f64 100000000000000000000000000000000/859436692696234852916263463312163 (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4))) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)))))))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (fma.f64 5641895835477563/101250000000000000 (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y))))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 4)) x) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18)) (pow.f64 (/.f64 (pow.f64 y 22) (pow.f64 (exp.f64 z) 22)) 1/18)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (+.f64 (*.f64 (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)) (+.f64 (*.f64 12500000000000000000000000000000000000000000000000000000000000000000000000000000/463031286870263951991842554888991618218555214614672319078850327826486421495247483 (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)))) (*.f64 20000000000000000/152331187557894201 (cbrt.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)))))) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10))) (*.f64 (*.f64 (cbrt.f64 5000000000000000/5641895835477563) (pow.f64 x 3)) 500000000000000000000000000000000000000000000000/4848852297379497502124196442486817262870851498769))))))))) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)) (+.f64 (*.f64 2500000000000000000000000000000000000000000000000000000000000000/27356719583431200821320852527195128983460489126316721181421619947 (cbrt.f64 (/.f64 (pow.f64 y 10) (pow.f64 (exp.f64 z) 10)))) (*.f64 62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/2612374289089158986545040328109041004217628289223358770857783457868891343225891581540468178723929 (cbrt.f64 (/.f64 (pow.f64 y 16) (pow.f64 (exp.f64 z) 16)))))) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 5000000000000000/5641895835477563) 2)) (+.f64 (*.f64 4/81 (cbrt.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y)))) (*.f64 100000000000000000000000000000000/859436692696234852916263463312163 (cbrt.f64 (/.f64 (pow.f64 y 4) (pow.f64 (exp.f64 z) 4)))))))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 x (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) |
(+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) |
(-.f64 x (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (*.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))) (pow.f64 (pow.f64 (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) 4) 1/9))))) |
(-.f64 x (+.f64 (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) (*.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (/.f64 z y) (pow.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)) 2))) (*.f64 (pow.f64 (pow.f64 (-.f64 x (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 x (/.f64 1 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))) 4) 1/18))))) |
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 (/.f64 z y) (pow.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) 2)) (*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) 4) 1/18))) (/.f64 1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (*.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))) (pow.f64 (pow.f64 (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) 4) 1/9))))))) |
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(-.f64 (cbrt.f64 (-.f64 x (/.f64 1 x))) (fma.f64 179587122125166574152748016388400639365587092547/2025000000000000000000000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 4))) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 6)))) (fma.f64 5641895835477563/15000000000000000 (*.f64 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)) 1/18))) (fma.f64 179587122125166574152748016388400639365587092547/562500000000000000000000000000000000000000000000 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 11)) 1/18)) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 5)))) (fma.f64 31830988618379068626528276418969/225000000000000000000000000000000 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 7)) 1/18)) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 4)))) (fma.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2)))) (*.f64 179587122125166574152748016388400639365587092547/375000000000000000000000000000000000000000000000 (*.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 1 x)) 2))))))))))) |
(-.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 179587122125166574152748016388400639365587092547/2025000000000000000000000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 4))) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 6)))) (fma.f64 5641895835477563/15000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 2)) 1/18) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))))) (fma.f64 179587122125166574152748016388400639365587092547/562500000000000000000000000000000000000000000000 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 11)) 1/18)) (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 5)))) (fma.f64 31830988618379068626528276418969/225000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 7)) 1/18) (/.f64 (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y)) (pow.f64 x 4)))) (fma.f64 31830988618379068626528276418969/75000000000000000000000000000000 (*.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z z)) (pow.f64 x 3)) (*.f64 y y)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 2)))) (*.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (/.f64 -1 x)) 2))) 179587122125166574152748016388400639365587092547/375000000000000000000000000000000000000000000000)))))))) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 0 | 216 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 216 | 5 | 221 |
| Status | Error | Program |
|---|---|---|
| 8.6b | (+.f64 x (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) | |
| ▶ | 1.8b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 29.9b | (+.f64 x (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 y y)) (pow.f64 (exp.f64 z) 2)))) | |
| ✓ | 1.3b | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
Compiled 8961 to 6119 computations (31.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ✓ | 0.0b | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| ✓ | 0.4b | (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
| ✓ | 6.7b | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
| 1.0ms | z | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | z | @ | inf | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | z | @ | -inf | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
| 1× | batch-egg-rewrite |
| 567× | fma-def_binary64 |
| 275× | fma-neg_binary64 |
| 231× | expm1-udef_binary64 |
| 231× | log1p-udef_binary64 |
| 142× | egg-rr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 252 | 51 |
| 2 | 3643 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 635× | associate-/l*_binary64 |
| 572× | fma-def_binary64 |
| 524× | associate-/r*_binary64 |
| 194× | associate-*l/_binary64 |
| 157× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2764 |
| 1 | 427 | 2744 |
| 2 | 1558 | 2629 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) |
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3)))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x)) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
(-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) x))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(-.f64 (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) |
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
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(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x)) (pow.f64 (exp.f64 z) 2))) |
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(-.f64 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) (/.f64 1 x))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y y))))) |
(-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (/.f64 1 x))))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))) |
(-.f64 (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (-.f64 x (/.f64 (*.f64 5641895835477563/5000000000000000 (*.f64 y z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) |
(-.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 5641895835477563/5000000000000000 (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) (*.f64 y z)))) |
(+.f64 x (fma.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) -5641895835477563/5000000000000000 (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000)))) |
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(-.f64 (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x) (fma.f64 5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 z z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (-.f64 x (fma.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) (/.f64 (*.f64 (*.f64 z (*.f64 z 5641895835477563/10000000000000000)) y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) |
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 z (/.f64 (/.f64 (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 3) y) z)) (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))) (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) (*.f64 5641895835477563/10000000000000000 (*.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) z))))) |
(-.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))))) |
(-.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)) (fma.f64 5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (fma.f64 5641895835477563/30000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4) (pow.f64 z 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))))) |
(-.f64 (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) y)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 z z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) x) (fma.f64 5641895835477563/5000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) (fma.f64 5641895835477563/30000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3)) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4) (pow.f64 z 3))) (/.f64 (*.f64 (*.f64 z (*.f64 z 5641895835477563/10000000000000000)) y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) |
(-.f64 (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 3)) (+.f64 (pow.f64 z 3) (*.f64 z z))) (/.f64 y (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000))) x) (fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) (fma.f64 5641895835477563/10000000000000000 (*.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) z) (*.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2)) (pow.f64 z 3)) (+.f64 5641895835477563/30000000000000000 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (neg.f64 x) 5641895835477563/5000000000000000) 2))))))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
(+.f64 (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 y x)))) |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 314 | 1 | 315 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 315 | 5 | 320 |
| Status | Error | Program |
|---|---|---|
| 28.7b | (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) x)) | |
| ▶ | 8.6b | (+.f64 x (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) |
| ✓ | 1.8b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ✓ | 1.3b | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
Compiled 7628 to 3388 computations (55.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| ✓ | 0.3b | (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) |
| ✓ | 0.3b | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
| ✓ | 0.4b | (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| 2.0ms | y | @ | inf | (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| 2.0ms | x | @ | inf | (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| 1.0ms | x | @ | 0 | (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| 1.0ms | z | @ | -inf | (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| 1× | batch-egg-rewrite |
| 273× | expm1-udef_binary64 |
| 273× | log1p-udef_binary64 |
| 157× | add-sqr-sqrt_binary64 |
| 152× | *-un-lft-identity_binary64 |
| 152× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 39 |
| 1 | 312 | 39 |
| 2 | 4441 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z y)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y))))) (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 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| 1× | egg-herbie |
| 765× | fma-def_binary64 |
| 253× | distribute-rgt-in_binary64 |
| 191× | distribute-lft-in_binary64 |
| 171× | associate-/l/_binary64 |
| 167× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 2318 |
| 1 | 569 | 2248 |
| 2 | 2302 | 2165 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (/.f64 x (pow.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)) (+.f64 (/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (/.f64 x (pow.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) |
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(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))))))))) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (+.f64 (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 4)))))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)))))) (+.f64 (*.f64 50000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(-.f64 (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 z 4))) (+.f64 (*.f64 75000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)))))))) (+.f64 (*.f64 50000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 3))) (+.f64 (*.f64 375000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 z 4))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(-.f64 (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)))))) (+.f64 (*.f64 50000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(-.f64 (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 z 4))) (+.f64 (*.f64 75000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 4))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 2)))))))) (+.f64 (*.f64 50000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 z 3))) (+.f64 (*.f64 375000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 z 4))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))))) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))))))))) |
(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))))))))) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z y)) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z y)) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
| Outputs |
|---|
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(/.f64 1 (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y))) |
(/.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 z y) (/.f64 1 y))) |
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(+.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y))) (/.f64 x (pow.f64 (fma.f64 5641895835477563/5000000000000000 (/.f64 z y) (/.f64 5641895835477563/5000000000000000 y)) 2))) |
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(neg.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))))))))) |
(neg.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 z z) (*.f64 (pow.f64 x 3) (*.f64 y y))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))) (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (pow.f64 x 3) (*.f64 y y))) (fma.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 (pow.f64 x 3) (*.f64 y y))) (+.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (+.f64 (/.f64 (*.f64 z z) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 z (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))))))))) |
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (pow.f64 x 3)) -31830988618379068626528276418969/25000000000000000000000000000000) (+.f64 (+.f64 (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (/.f64 1 x)) (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 31830988618379068626528276418969/12500000000000000000000000000000 (/.f64 z (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (+.f64 (*.f64 (/.f64 z (pow.f64 y 3)) (/.f64 z (pow.f64 x 4))) (/.f64 z (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))))) |
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (pow.f64 x 3)) -31830988618379068626528276418969/25000000000000000000000000000000) (+.f64 (+.f64 (fma.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 z y) 3) (/.f64 1 x)) (fma.f64 5641895835477563/5000000000000000 (/.f64 z (*.f64 y (*.f64 x x))) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) (+.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))) (+.f64 (fma.f64 (/.f64 31830988618379068626528276418969/12500000000000000000000000000000 (pow.f64 x 3)) (/.f64 z (*.f64 y y)) (*.f64 (/.f64 538761366375499722458244049165201918096761277641/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (+.f64 (*.f64 (/.f64 z (pow.f64 y 3)) z) (/.f64 z (pow.f64 y 3))))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))))) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(/.f64 5641895835477563/5000000000000000 y) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z y)) |
(*.f64 5641895835477563/5000000000000000 (/.f64 z y)) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
(/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) y) |
(/.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) y) |
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 0 | 151 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 151 | 5 | 156 |
| Status | Error | Program |
|---|---|---|
| 28.7b | (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) 2)) (*.f64 y y)) x)) | |
| ✓ | 8.6b | (+.f64 x (/.f64 -1 (-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z y)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) |
| ✓ | 1.8b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ✓ | 1.3b | (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) 3) |
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
Compiled 4088 to 2697 computations (34% saved)
Total 0.1b remaining (88.8%)
Threshold costs 0.1b (88.8%)
Compiled 1216 to 695 computations (42.8% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 12 | 16 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| 1× | fuel |
Compiled 116 to 82 computations (29.3% saved)
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