Time bar (total: 8.9s)
| 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 |
Compiled 16 to 11 computations (31.3% saved)
| 1.3s | 8256× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 2× | egg-herbie |
| 1158× | fma-neg_binary64 |
| 478× | fma-def_binary64 |
| 469× | div-sub_binary64 |
| 376× | distribute-rgt-in_binary64 |
| 373× | sub-neg_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 |
| 12 | 6170 | 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 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 1229× | fma-def_binary64 |
| 1056× | div-sub_binary64 |
| 902× | fma-neg_binary64 |
| 410× | associate-/l*_binary64 |
| 347× | associate-/r*_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 |
| 14 | 5550 | 16 |
| 15 | 6396 | 16 |
| 16 | 6554 | 16 |
| 17 | 6582 | 16 |
| 18 | 6968 | 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))) |
Compiled 26 to 16 computations (38.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 4.9b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ▶ | 0.1b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
Compiled 29 to 20 computations (31% saved)
Found 6 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)) | |
| 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| ✓ | 0.1b | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
| ✓ | 0.1b | (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
Compiled 41 to 18 computations (56.1% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| 2.0ms | z | @ | inf | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| 1.0ms | z | @ | 0 | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
| 1.0ms | z | @ | 0 | (+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
| 1.0ms | y | @ | 0 | (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
| 1× | batch-egg-rewrite |
| 681× | prod-diff_binary64 |
| 539× | log-prod_binary64 |
| 309× | pow2_binary64 |
| 218× | fma-def_binary64 |
| 214× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 233 | 39 |
| 2 | 3083 | 39 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) |
(/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) |
(+.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 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2) (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) 2) (*.f64 x x)) (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))))))) |
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((#(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 (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 1 (+.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 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 (fma.f64 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| 1× | egg-herbie |
| 887× | times-frac_binary64 |
| 653× | fma-def_binary64 |
| 481× | associate-/r*_binary64 |
| 455× | associate-/l*_binary64 |
| 392× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 2680 |
| 1 | 459 | 2636 |
| 2 | 1529 | 2584 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/10000000000000000 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -5641895835477563/30000000000000000 (/.f64 (pow.f64 z 3) y)) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
x |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x) |
(/.f64 -1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.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 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2)))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(/.f64 -1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x)) |
(*.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 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))) (*.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(*.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 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))) (*.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)) |
(+.f64 (*.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 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x))) |
(+.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x)) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) x) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))) x)) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (*.f64 y (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))))) (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2)))) (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))))) (pow.f64 z 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 3)))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (*.f64 y (pow.f64 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) 2))))) (pow.f64 z 2))) x))) (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.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))) x)) |
(+.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
| Outputs |
|---|
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
(-.f64 x (/.f64 5641895835477563/5000000000000000 y)) |
(+.f64 x (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z y)) x) (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
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(fma.f64 -5641895835477563/5000000000000000 (/.f64 z y) (+.f64 x (/.f64 -5641895835477563/5000000000000000 y))) |
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(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(-.f64 x (/.f64 1 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y)) x))) |
(-.f64 x (/.f64 1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
(+.f64 x (/.f64 -1 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) y) x))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.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))) x)) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)))))) |
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 1) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) y)) 1) (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)) |
(+.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))))))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 1) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) y)) 1) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 z) y) 3)) (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x)) |
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x))) |
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (+.f64 x (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (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))) x)) (/.f64 1 x)) |
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))) |
(fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (+.f64 x (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (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))) 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 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))) |
(+.f64 (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)))) x)) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (/.f64 -1 x))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x)) |
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) (/.f64 -1 x))) |
(fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (+.f64 x (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (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))) x)) (/.f64 1 x)) |
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))) |
(fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 (/.f64 -5641895835477563/5000000000000000 y) (/.f64 (exp.f64 z) (*.f64 x x)) (+.f64 x (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (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))) 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 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 x y))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))) |
(+.f64 (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)))) x)) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (/.f64 -1 x))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.4b | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) | |
| 2.0b | (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) | |
| 0.0b | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) | |
| 0.0b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ✓ | 0.0b | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| ✓ | 2.0b | (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)) |
| ✓ | 7.4b | (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))) |
Compiled 46 to 20 computations (56.5% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))) |
| 1.0ms | z | @ | 0 | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 1× | batch-egg-rewrite |
| 654× | log-prod_binary64 |
| 567× | fma-def_binary64 |
| 339× | pow2_binary64 |
| 275× | fma-neg_binary64 |
| 232× | pow1/3_binary64 |
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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))))) 2) (cbrt.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y 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| 1× | egg-herbie |
| 878× | times-frac_binary64 |
| 657× | fma-def_binary64 |
| 453× | associate-/l*_binary64 |
| 427× | associate-*r*_binary64 |
| 407× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 2760 |
| 1 | 424 | 2722 |
| 2 | 1435 | 2637 |
| 1× | node limit |
| Inputs |
|---|
(*.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 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))) (*.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.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 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x))) |
(*.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 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))) (*.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.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 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.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 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)) |
(+.f64 (*.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 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x))) |
(+.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x)) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.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))) x)) |
(+.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(+.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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.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))) x))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.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) |
(+.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)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) x) (pow.f64 (exp.f64 z) 2))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (exp.f64 z) 2)))) |
(+.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 z) 2) x)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 x x)) (pow.f64 (exp.f64 z) 3)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (/.f64 (pow.f64 (exp.f64 z) 2) y)) x) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x))) (pow.f64 (exp.f64 z) 3)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 x (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2))) (/.f64 (*.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 x) x) (pow.f64 (/.f64 (exp.f64 z) y) 3)))) |
(+.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
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(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (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))) 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 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 x (*.f64 y x))) x) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x)))) |
(+.f64 x (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (pow.f64 x 4)) (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 y (*.f64 y (pow.f64 x 3)))) (/.f64 -1 x))))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x) |
(+.f64 x (/.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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) |
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (/.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 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.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))) x))) |
(fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)) |
(+.f64 (fma.f64 (neg.f64 (*.f64 z z)) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 (*.f64 y 5641895835477563/10000000000000000) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) x) |
(+.f64 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) x) (fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 5641895835477563/10000000000000000)) (neg.f64 (*.f64 z z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))))) (pow.f64 z 3))) (+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) |
(fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (+.f64 (fma.f64 -1 (*.f64 (fma.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) -31830988618379068626528276418969/50000000000000000000000000000000))) (pow.f64 z 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))) |
(+.f64 (-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (-.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) 5641895835477563/30000000000000000 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 (*.f64 y 5641895835477563/10000000000000000) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) -31830988618379068626528276418969/50000000000000000000000000000000))) (pow.f64 z 3)))) (*.f64 (*.f64 z z) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (/.f64 (*.f64 y 5641895835477563/10000000000000000) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))))) x) |
(+.f64 x (-.f64 (fma.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 5641895835477563/10000000000000000)) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (/.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 5641895835477563/30000000000000000))) (neg.f64 (pow.f64 z 3)) (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (*.f64 z (*.f64 z (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 5641895835477563/10000000000000000)))))) |
(+.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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 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 x (/.f64 y (fma.f64 (exp.f64 z) 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x))))) |
Compiled 12337 to 6095 computations (50.6% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 514 | 12 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 515 | 13 | 528 |
| Status | Error | Program |
|---|---|---|
| ▶ | 12.6b | (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| 12.6b | (+.f64 x (/.f64 -1 (+.f64 x (/.f64 -5641895835477563/5000000000000000 y)))) | |
| ✓ | 4.9b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 10.6b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) | |
| ▶ | 4.9b | (+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)) |
| 22.3b | (+.f64 x (*.f64 (/.f64 5000000000000000/5641895835477563 (exp.f64 z)) y)) | |
| ▶ | 23.7b | (+.f64 x (/.f64 -1 x)) |
| 26.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) | |
| ▶ | 12.6b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| 19.5b | (+.f64 x (/.f64 y (pow.f64 (sqrt.f64 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) 2))) | |
| 21.2b | x | |
| 28.9b | (+.f64 x (*.f64 (/.f64 y (-.f64 (*.f64 (exp.f64 (+.f64 z z)) 31830988618379068626528276418969/25000000000000000000000000000000) (pow.f64 (*.f64 y x) 2))) (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))) | |
| ▶ | 22.3b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
Compiled 333 to 233 computations (30% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.5b | (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y) | |
| 2.0b | (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) | |
| 1.0b | (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) | |
| 0.0b | (+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)) | |
| ✓ | 0.0b | (+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)) |
| ✓ | 1.0b | (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) |
| ✓ | 2.0b | (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) |
| ✓ | 6.5b | (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y) |
Compiled 60 to 25 computations (58.3% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y) |
| 2.0ms | x | @ | 0 | (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) |
| 2.0ms | z | @ | 0 | (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y) |
| 1.0ms | z | @ | inf | (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y) |
| 1× | batch-egg-rewrite |
| 586× | log-prod_binary64 |
| 381× | pow-prod-down_binary64 |
| 314× | pow2_binary64 |
| 289× | fma-def_binary64 |
| 218× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 60 |
| 1 | 269 | 52 |
| 2 | 3493 | 52 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y) |
(fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x))) |
(/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) |
(+.f64 x (*.f64 (/.f64 1 (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y (neg.f64 x)))) y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 872× | fma-def_binary64 |
| 714× | associate-/l*_binary64 |
| 664× | associate-/r*_binary64 |
| 585× | associate-*r*_binary64 |
| 562× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 4056 |
| 1 | 584 | 3897 |
| 2 | 2028 | 3796 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))))) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))))) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))) (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))) (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))))) (pow.f64 z 3)))))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(*.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 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))) (*.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(*.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 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))) (*.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))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x))))) |
(+.f64 (*.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (+.f64 (*.f64 5641895835477563/30000000000000000 (pow.f64 z 3)) (*.f64 -1 (*.f64 y x)))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x))) |
(/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) |
(+.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 z (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) |
(+.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) (pow.f64 z 2)))) |
(+.f64 (/.f64 1 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 z (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (+.f64 (*.f64 (pow.f64 z 3) (-.f64 (*.f64 31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))) (*.f64 5641895835477563/30000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))))) (*.f64 (-.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (*.f64 5641895835477563/10000000000000000 (/.f64 1 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) (pow.f64 z 2))))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 1 (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) |
(/.f64 5000000000000000/5641895835477563 (exp.f64 z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2)))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))) (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)))))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))) (/.f64 1 (*.f64 y x))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))) (/.f64 1 (*.f64 y x))) |
(/.f64 5000000000000000/5641895835477563 (exp.f64 z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2)))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (exp.f64 z))) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))))) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (exp.f64 z) 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 1 (exp.f64 z))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y x) (pow.f64 (exp.f64 z) 2))) (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (exp.f64 z) 4)))))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))) (/.f64 1 (*.f64 y x))) |
(/.f64 -1 (*.f64 y x)) |
(-.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 1 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 4) (pow.f64 x 4)))))) (/.f64 1 (*.f64 y x))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)) |
(+.f64 (*.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 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x))) |
(+.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (pow.f64 y 2) (pow.f64 (exp.f64 z) 2)))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x)) (/.f64 1 x)) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))))) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) x))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))))) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (+.f64 (*.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))) (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 3)))) (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))))) (*.f64 5641895835477563/30000000000000000 (/.f64 y (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2))))) (pow.f64 z 3))) x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.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))) x)) |
(+.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))) |
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) 2)))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x)))) (*.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (neg.f64 (*.f64 y x))) 2) z)))) |
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(+.f64 (fma.f64 (*.f64 (neg.f64 z) z) (fma.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) y))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) z)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (-.f64 x (*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) -31830988618379068626528276418969/50000000000000000000000000000000 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (fma.f64 5641895835477563/10000000000000000 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) y))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (/.f64 5641895835477563/30000000000000000 (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2) y)))) (pow.f64 z 3)))) |
(+.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (-.f64 (-.f64 (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) x) (*.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 5641895835477563/10000000000000000 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 5641895835477563/30000000000000000 (/.f64 -31830988618379068626528276418969/50000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (pow.f64 z 3))) (*.f64 z (*.f64 z (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 5641895835477563/10000000000000000 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 -1 (*.f64 y x)))) x) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))) |
(+.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (*.f64 x (neg.f64 y))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 y x)))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.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))) x)) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (*.f64 x (-.f64 1 (/.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (exp.f64 z) 2))))) |
(fma.f64 x (+.f64 1 (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))) |
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 1) (*.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))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x))) |
(fma.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 x (-.f64 1 (/.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (exp.f64 z) 2)))))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 z) 3)) (*.f64 x x)) (fma.f64 x (+.f64 1 (/.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))) |
(fma.f64 x (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) 2)) 1) (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (pow.f64 (/.f64 (exp.f64 z) y) 3) (*.f64 x x))))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (+.f64 x (/.f64 -1 x))) |
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x)) (/.f64 1 x)) |
(+.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x)) (/.f64 -1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 x 3)) (+.f64 x (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x))) (/.f64 1 x)) |
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x))) (/.f64 -1 x)) |
(fma.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 x 3)) (+.f64 x (/.f64 -1 x))))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) x) (/.f64 1 x)) |
(-.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x) (/.f64 1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (+.f64 x (/.f64 -1 x))) |
(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x)) (/.f64 1 x)) |
(-.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x)) (/.f64 1 x)) |
(+.f64 (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x)) (/.f64 -1 x)) |
(fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 x 3)) (+.f64 x (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))) x))) (/.f64 1 x)) |
(-.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x))) (/.f64 1 x)) |
(+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4))) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (pow.f64 (exp.f64 z) 2) (*.f64 y (*.f64 y (pow.f64 x 3)))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) x))) (/.f64 -1 x)) |
(fma.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 (/.f64 (exp.f64 z) y) 3) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (/.f64 (exp.f64 z) y) (*.f64 x x)) (fma.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (/.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 x 3)) (+.f64 x (/.f64 -1 x))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (/.f64 -1 x)) | |
| ✓ | 0.0b | (+.f64 x (/.f64 -1 x)) |
Compiled 13 to 9 computations (30.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 x (/.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 x (/.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 575× | add-log-exp_binary64 |
| 575× | log1p-expm1-u_binary64 |
| 575× | expm1-log1p-u_binary64 |
| 563× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 111 | 7 |
| 2 | 1560 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) x))) (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (/.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 1 (*.f64 x x))) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 -1 (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 x)))))))) |
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | associate-/r*_binary64 |
| 12× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 69 |
| 1 | 11 | 69 |
| 2 | 15 | 69 |
| 3 | 23 | 69 |
| 4 | 33 | 69 |
| 5 | 50 | 69 |
| 6 | 87 | 69 |
| 7 | 126 | 69 |
| 8 | 171 | 69 |
| 9 | 215 | 69 |
| 10 | 258 | 69 |
| 11 | 260 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.4b | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) | |
| 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) | |
| 0.0b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| ✓ | 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
| ✓ | 8.4b | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
Compiled 30 to 14 computations (53.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | y | @ | inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | x | @ | 0 | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | y | @ | -inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | x | @ | inf | (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 847× | prod-diff_binary64 |
| 487× | log-prod_binary64 |
| 305× | pow-prod-down_binary64 |
| 268× | fma-def_binary64 |
| 259× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 189 | 30 |
| 2 | 2801 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -2)) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) -2) (/.f64 y (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) -1/2) (/.f64 y (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 y x 5641895835477563/5000000000000000) 31830988618379068626528276418969/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (fma.f64 y x 5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5641895835477563/5000000000000000 (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x 5641895835477563/5000000000000000) 31830988618379068626528276418969/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x 5641895835477563/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x 5641895835477563/5000000000000000) 31830988618379068626528276418969/25000000000000000000000000000000) (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x 5641895835477563/5000000000000000) (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x 5641895835477563/5000000000000000) 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| 1× | egg-herbie |
| 468× | sub-neg_binary64 |
| 414× | unswap-sqr_binary64 |
| 335× | *-commutative_binary64 |
| 289× | fma-def_binary64 |
| 288× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 1257 |
| 1 | 207 | 1197 |
| 2 | 639 | 1180 |
| 3 | 2536 | 1178 |
| 4 | 7322 | 1178 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
5641895835477563/5000000000000000 |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 -1 (*.f64 y x))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) x (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 (*.f64 y y) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x)))))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))))))) |
(fma.f64 (pow.f64 y 4) (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y y) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 x (*.f64 y x))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
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(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1)))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 (pow.f64 y 3) (*.f64 x 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 (pow.f64 y 3) (*.f64 x 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)))))) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(-.f64 (+.f64 x (/.f64 -1 x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(-.f64 (+.f64 x (/.f64 -1 x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1)))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 (pow.f64 y 3) (*.f64 x 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(-.f64 (+.f64 x (/.f64 -1 x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 -1 x) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (+.f64 x (-.f64 (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(-.f64 (+.f64 x (/.f64 -1 x)) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 x (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 -1 x) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (+.f64 x (-.f64 (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) | |
| 0.1b | (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) | |
| 0.0b | (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) | |
| 0.0b | (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) | |
| ✓ | 0.0b | (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| ✓ | 0.0b | (-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
| ✓ | 0.1b | (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| ✓ | 0.3b | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
Compiled 42 to 31 computations (26.2% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1.0ms | x | @ | inf | (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1.0ms | y | @ | 0 | (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
| 0.0ms | y | @ | 0 | (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
| 1× | batch-egg-rewrite |
| 990× | prod-diff_binary64 |
| 516× | log-prod_binary64 |
| 350× | fma-def_binary64 |
| 200× | pow1/3_binary64 |
| 200× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 230 | 34 |
| 2 | 3176 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) |
(/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)))) |
(-.f64 x (/.f64 1 (-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))))) |
(-.f64 x (*.f64 5641895835477563/5000000000000000 (/.f64 1 y))) |
| Outputs |
|---|
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5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5641895835477563/5000000000000000 (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y))) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 y)) 5641895835477563/5000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 5641895835477563/5000000000000000 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 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5641895835477563/5000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5641895835477563/5000000000000000 (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5641895835477563/5000000000000000 (pow.f64 y -1/2)) (pow.f64 y -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 5641895835477563/5000000000000000 y)))))))) |
| 1× | egg-herbie |
| 574× | distribute-neg-frac_binary64 |
| 414× | unswap-sqr_binary64 |
| 317× | fma-def_binary64 |
| 302× | sub-neg_binary64 |
| 284× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1105 |
| 1 | 199 | 1095 |
| 2 | 623 | 1088 |
| 3 | 2603 | 1086 |
| 4 | 6516 | 1086 |
| 1× | node limit |
| Inputs |
|---|
(/.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 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))))) |
(/.f64 1 x) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(/.f64 1 x) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(*.f64 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)))) |
(+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))))) |
(/.f64 1 x) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(/.f64 1 x) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) |
(+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -5641895835477563/5000000000000000 y) |
x |
x |
(/.f64 -5641895835477563/5000000000000000 y) |
x |
x |
| Outputs |
|---|
(/.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) |
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(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(+.f64 (-.f64 x (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x))) (/.f64 -1 x)) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 x (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x)) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y))))) |
(+.f64 x (+.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3)))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x))) (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x))) (/.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(-.f64 x (+.f64 (/.f64 (/.f64 5641895835477563/5000000000000000 y) (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)) (/.f64 (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3)))))) |
(-.f64 (-.f64 (-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y (*.f64 y (pow.f64 x 3))))) (/.f64 1 x)) |
(+.f64 x (+.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 x 3)) (*.f64 y y)) (-.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -5641895835477563/5000000000000000 y) (*.f64 x x))) (/.f64 (/.f64 (/.f64 -31830988618379068626528276418969/25000000000000000000000000000000 y) y) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 x 4)) (pow.f64 y 3)) x)) |
(/.f64 -5641895835477563/5000000000000000 y) |
x |
x |
(/.f64 -5641895835477563/5000000000000000 y) |
x |
x |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 5000000000000000/5641895835477563 y) | |
| 0.0b | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) | |
| 0.0b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| ✓ | 0.0b | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| ✓ | 0.4b | (*.f64 5000000000000000/5641895835477563 y) |
Compiled 26 to 14 computations (46.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 1.0ms | z | @ | -inf | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
| 1× | batch-egg-rewrite |
| 829× | prod-diff_binary64 |
| 502× | log-prod_binary64 |
| 287× | pow-prod-down_binary64 |
| 261× | pow2_binary64 |
| 218× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 193 | 25 |
| 2 | 2722 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000000000000000/5641895835477563 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5000000000000000/5641895835477563 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 5000000000000000/5641895835477563 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000000000000000/5641895835477563 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (/.f64 1 (/.f64 (exp.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (*.f64 y (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 5000000000000000/5641895835477563 (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)) -2)) (cbrt.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))))))) (#(struct:change #<rule 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(cbrt.f64 (*.f64 5000000000000000/5641895835477563 y)) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)) 1) -1)))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))) (/.f64 (pow.f64 (/.f64 (exp.f64 z) (*.f64 5000000000000000/5641895835477563 y)) -2) (-.f64 x (/.f64 y (/.f64 (exp.f64 z) 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) (pow.f64 (cbrt.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x))))))) |
| 1× | egg-herbie |
| 555× | unsub-neg_binary64 |
| 397× | distribute-rgt-out_binary64 |
| 394× | times-frac_binary64 |
| 367× | *-commutative_binary64 |
| 365× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 647 |
| 1 | 142 | 636 |
| 2 | 459 | 607 |
| 3 | 2270 | 602 |
| 4 | 4494 | 602 |
| 5 | 7880 | 602 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 -5000000000000000/5641895835477563 y) z)) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 -5000000000000000/5641895835477563 y) z))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 y (+.f64 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563) (*.f64 z -5000000000000000/5641895835477563)))) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563) (*.f64 z -5000000000000000/5641895835477563)))) |
(*.f64 y (+.f64 (*.f64 z -5000000000000000/5641895835477563) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3)))))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)))))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 (*.f64 1/6 (pow.f64 z 3)) z)) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563)))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) |
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)) |
(*.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))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(*.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))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(*.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))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x)) |
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 z (*.f64 y -5000000000000000/5641895835477563) x)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x))) |
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 z (*.f64 y -5000000000000000/5641895835477563) x))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563) (*.f64 z -5000000000000000/5641895835477563))))) |
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 z (*.f64 y -5000000000000000/5641895835477563) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/2 y) (*.f64 -1 y)))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 y) (*.f64 -1 y))) (*.f64 1/6 y))) (pow.f64 z 3))) x)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 (*.f64 y -1/2) (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (*.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 y -1/2) (*.f64 y 1/6))) (pow.f64 z 3)) x)))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y (*.f64 -1/2 (*.f64 z z))) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y -1/2 (fma.f64 y 1/6 (*.f64 y 1/2))) (pow.f64 z 3))) x))) |
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (fma.f64 y z (*.f64 (fma.f64 y 1/6 0) (pow.f64 z 3))) x))) |
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 (*.f64 1/6 (pow.f64 z 3)) z)) (fma.f64 5000000000000000/5641895835477563 y x))) |
(fma.f64 (*.f64 z z) (*.f64 y 2500000000000000/5641895835477563) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) (fma.f64 5000000000000000/5641895835477563 y x))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) x) |
Compiled 19359 to 11991 computations (38.1% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 965 | 10 | 975 |
| Fresh | 5 | 2 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 972 | 16 | 988 |
| Status | Error | Program |
|---|---|---|
| 12.7b | (+.f64 x (*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)) | |
| 21.2b | x | |
| 26.4b | (-.f64 x (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y))) | |
| 31.3b | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) | |
| ▶ | 35.3b | (-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
| ✓ | 12.6b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| 52.4b | (*.f64 y 5000000000000000/5641895835477563) | |
| 23.4b | (+.f64 x (*.f64 (/.f64 y (-.f64 31830988618379068626528276418969/25000000000000000000000000000000 (pow.f64 (*.f64 y x) 2))) (fma.f64 y x 5641895835477563/5000000000000000))) | |
| ▶ | 26.4b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| ✓ | 23.7b | (+.f64 x (/.f64 -1 x)) |
| ▶ | 26.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ▶ | 52.2b | (/.f64 -1 x) |
| 35.5b | (+.f64 x (*.f64 y (+.f64 (*.f64 z -5000000000000000/5641895835477563) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))) | |
| ✓ | 4.9b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ▶ | 10.6b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
| ✓ | 22.3b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
Compiled 318 to 229 computations (28% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 5641895835477563/5000000000000000 z) | |
| 0.0b | (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) | |
| 0.0b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) | |
| 0.0b | (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) | |
| ✓ | 0.0b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
| ✓ | 0.0b | (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
| ✓ | 0.3b | (*.f64 5641895835477563/5000000000000000 z) |
| ✓ | 8.4b | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
Compiled 51 to 29 computations (43.1% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1.0ms | z | @ | inf | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1.0ms | y | @ | inf | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1.0ms | x | @ | inf | (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 681× | log-prod_binary64 |
| 585× | fma-def_binary64 |
| 289× | fma-neg_binary64 |
| 246× | pow1/3_binary64 |
| 245× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 260 | 46 |
| 2 | 4002 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x))) |
(*.f64 5641895835477563/5000000000000000 z) |
(-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5641895835477563/5000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z)) (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5641895835477563/5000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 5641895835477563/5000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5641895835477563/5000000000000000) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5641895835477563/5000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5641895835477563/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 5641895835477563/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 5641895835477563/5000000000000000 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5641895835477563/5000000000000000 z))))))) |
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| 1× | egg-herbie |
| 780× | associate-/r*_binary64 |
| 603× | associate-*r*_binary64 |
| 554× | associate-*l*_binary64 |
| 385× | associate-*l/_binary64 |
| 350× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 3116 |
| 1 | 588 | 2860 |
| 2 | 2238 | 2753 |
| 1× | node limit |
| Inputs |
|---|
(/.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 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 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))) (/.f64 1 x)) |
(/.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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z)))) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (pow.f64 z 4))) (*.f64 5000000000000000/5641895835477563 (/.f64 y z))))) |
(/.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 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 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) (*.f64 (pow.f64 y 2) (pow.f64 x 4)))))) (/.f64 1 x)) |
(-.f64 5641895835477563/5000000000000000 (*.f64 y x)) |
(*.f64 5641895835477563/5000000000000000 z) |
(*.f64 5641895835477563/5000000000000000 z) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(+.f64 5641895835477563/5000000000000000 (+.f64 (*.f64 5641895835477563/5000000000000000 z) (*.f64 -1 (*.f64 y x)))) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))) x) (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))) x) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))) x) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 4)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 2)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 3))))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x)) (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (*.f64 y (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (*.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 x 2))) x)) (/.f64 1 x)) |
x |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.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)) x)) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.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 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) x))) (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 (pow.f64 y 2) x))) x))) (/.f64 1 x)) |
(+.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 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.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))) x))) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (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 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))) |
| Outputs |
|---|
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) |
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(+.f64 x (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.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))) x))) |
(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) (*.f64 z z))) (+.f64 (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)) |
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 z z)) (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) x) |
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 (*.f64 z z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) y) (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) x) |
(+.f64 (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3))) (+.f64 (*.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (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 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) x)))) |
(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3) (*.f64 z z))) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (*.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (+.f64 (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x))) |
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) (*.f64 z z)) (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) z) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4)) (pow.f64 z 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) x) |
(+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (/.f64 (*.f64 z z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 3)) y) (fma.f64 -5641895835477563/5000000000000000 (*.f64 (/.f64 z (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) y) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (/.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 4)) (pow.f64 z 3)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)) |
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (*.f64 z z) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) |
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y z) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) z)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) |
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (*.f64 z z) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y z) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) z)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x)) |
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (*.f64 z z) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) |
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y z) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) z)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) |
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (*.f64 y (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (pow.f64 z 3))) (+.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (*.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2))) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 y (/.f64 (*.f64 z z) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y z) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) z)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) 2)) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x))) |
Compiled 8 to 6 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 y 5641895835477563/5000000000000000) | |
| 0.0b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) | |
| ✓ | 0.0b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| ✓ | 0.3b | (/.f64 y 5641895835477563/5000000000000000) |
Compiled 14 to 9 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/.f64 y 5641895835477563/5000000000000000) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 0.0ms | y | @ | inf | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 0.0ms | y | @ | 0 | (/.f64 y 5641895835477563/5000000000000000) |
| 0.0ms | y | @ | -inf | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| 1× | batch-egg-rewrite |
| 743× | pow1_binary64 |
| 701× | add-log-exp_binary64 |
| 701× | log1p-expm1-u_binary64 |
| 701× | expm1-log1p-u_binary64 |
| 688× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 138 | 9 |
| 2 | 1885 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y 5641895835477563/5000000000000000) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -5641895835477563/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))) (/.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969) (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 5000000000000000/5641895835477563 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2) (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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25000000000000000000000000000000/31830988618379068626528276418969)) (-.f64 x (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 5000000000000000/5641895835477563) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969))) (neg.f64 (-.f64 x (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 x x)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 5000000000000000/5641895835477563 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 5000000000000000/5641895835477563 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2) (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 5000000000000000/5641895835477563 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 5000000000000000/5641895835477563 x))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 153 |
| 1 | 9 | 153 |
| 2 | 10 | 153 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 16.6b | (/.f64 y (*.f64 y (neg.f64 x))) | |
| 0.0b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ✓ | 16.6b | (/.f64 y (*.f64 y (neg.f64 x))) |
Compiled 25 to 7 computations (72% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | y | @ | 0 | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 y (*.f64 y (neg.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (*.f64 y (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 831× | pow1_binary64 |
| 776× | add-log-exp_binary64 |
| 775× | log1p-expm1-u_binary64 |
| 775× | expm1-log1p-u_binary64 |
| 758× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 162 | 11 |
| 2 | 2626 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 y (neg.f64 x))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 0 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)) (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (pow.f64 (+.f64 x (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))))))) |
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | associate-/r*_binary64 |
| 12× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 249 |
| 1 | 11 | 249 |
| 2 | 15 | 249 |
| 3 | 23 | 249 |
| 4 | 33 | 249 |
| 5 | 50 | 249 |
| 6 | 87 | 249 |
| 7 | 126 | 249 |
| 8 | 171 | 249 |
| 9 | 215 | 249 |
| 10 | 258 | 249 |
| 11 | 260 | 249 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) | |
| 0.2b | (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) | |
| 0.0b | (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))) | |
| 0.0b | (-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) | |
| ✓ | 0.0b | (-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
| ✓ | 0.0b | (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))) |
| ✓ | 0.2b | (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
| ✓ | 0.2b | (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
Compiled 42 to 23 computations (45.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
| 1.0ms | y | @ | 0 | (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
| 1.0ms | y | @ | -inf | (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
| 1.0ms | x | @ | 0 | (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
| 1.0ms | y | @ | inf | (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 596× | log-prod_binary64 |
| 409× | pow-prod-down_binary64 |
| 370× | fma-def_binary64 |
| 306× | pow2_binary64 |
| 212× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 233 | 40 |
| 2 | 3334 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
(*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))) |
(-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -25000000000000000000000000000000/31830988618379068626528276418969) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -5000000000000000/5641895835477563) (*.f64 y (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))) (*.f64 y -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -5000000000000000/5641895835477563) 1) (*.f64 (*.f64 y (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) 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y) -5000000000000000/5641895835477563)))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563))) 2) (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563)))) (fma.f64 (neg.f64 y) (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563))) 2)) (cbrt.f64 (*.f64 y (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) 1) (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) 2))) (cbrt.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563))) (sqrt.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (neg.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (neg.f64 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (neg.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (neg.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (fma.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y) -5000000000000000/5641895835477563) (neg.f64 y) x))))))) |
| 1× | egg-herbie |
| 1009× | fma-def_binary64 |
| 684× | unswap-sqr_binary64 |
| 603× | fma-neg_binary64 |
| 434× | distribute-rgt-neg-in_binary64 |
| 387× | distribute-lft-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 813 |
| 1 | 69 | 779 |
| 2 | 140 | 779 |
| 3 | 301 | 723 |
| 4 | 902 | 674 |
| 5 | 1786 | 674 |
| 6 | 2736 | 674 |
| 7 | 3956 | 674 |
| 8 | 5551 | 674 |
| 9 | 7283 | 674 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
-5000000000000000/5641895835477563 |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
-5000000000000000/5641895835477563 |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(-.f64 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
| Outputs |
|---|
(*.f64 -5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(*.f64 y (fma.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 x) -5000000000000000/5641895835477563)) |
(*.f64 y (fma.f64 x (*.f64 y -25000000000000000000000000000000/31830988618379068626528276418969) -5000000000000000/5641895835477563)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(*.f64 y (fma.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 x) -5000000000000000/5641895835477563)) |
(*.f64 y (fma.f64 x (*.f64 y -25000000000000000000000000000000/31830988618379068626528276418969) -5000000000000000/5641895835477563)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(*.f64 y (fma.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 x) -5000000000000000/5641895835477563)) |
(*.f64 y (fma.f64 x (*.f64 y -25000000000000000000000000000000/31830988618379068626528276418969) -5000000000000000/5641895835477563)) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x)) |
(*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x))) |
(*.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))) |
(*.f64 y (*.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 x))) |
(*.f64 y (*.f64 x (*.f64 y -25000000000000000000000000000000/31830988618379068626528276418969))) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
(*.f64 y (fma.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 x) -5000000000000000/5641895835477563)) |
(*.f64 y (fma.f64 x (*.f64 y -25000000000000000000000000000000/31830988618379068626528276418969) -5000000000000000/5641895835477563)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 y) (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)))) |
(fma.f64 -5000000000000000/5641895835477563 y (*.f64 y (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)))) |
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(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969)))) |
(fma.f64 y 5000000000000000/5641895835477563 (*.f64 x (fma.f64 (*.f64 y y) 25000000000000000000000000000000/31830988618379068626528276418969 1))) |
(fma.f64 y 5000000000000000/5641895835477563 (*.f64 x (fma.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969) 1))) |
(fma.f64 y 5000000000000000/5641895835477563 (fma.f64 (*.f64 y y) (*.f64 x 25000000000000000000000000000000/31830988618379068626528276418969) x)) |
(fma.f64 y (fma.f64 y (*.f64 x 25000000000000000000000000000000/31830988618379068626528276418969) 5000000000000000/5641895835477563) x) |
Compiled 14430 to 8726 computations (39.5% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 727 | 4 | 731 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 730 | 17 | 747 |
| Status | Error | Program |
|---|---|---|
| ▶ | 52.4b | (*.f64 y 5000000000000000/5641895835477563) |
| ✓ | 52.2b | (/.f64 -1 x) |
| 35.8b | (-.f64 x (/.f64 (*.f64 y (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (*.f64 y x) 2) 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961))) (-.f64 -5000000000000000/5641895835477563 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))))) | |
| 35.5b | (+.f64 x (*.f64 y (+.f64 (*.f64 z -5000000000000000/5641895835477563) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))) | |
| ▶ | 12.7b | (+.f64 x (*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)) |
| ▶ | 26.4b | (-.f64 x (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y))) |
| ▶ | 31.3b | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
| ✓ | 35.3b | (-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
| ✓ | 4.9b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ▶ | 20.2b | (+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))) |
| ✓ | 26.4b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| ✓ | 23.7b | (+.f64 x (/.f64 -1 x)) |
| ✓ | 26.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ✓ | 10.6b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
| ✓ | 12.6b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| ✓ | 22.3b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| 21.2b | x |
Compiled 297 to 218 computations (26.6% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.0b | (*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y) | |
| 1.7b | (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) | |
| 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) | |
| 0.0b | (+.f64 x (*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)) | |
| ✓ | 0.0b | (+.f64 x (*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)) |
| 0.0b | (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) | |
| ✓ | 1.7b | (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| ✓ | 7.0b | (*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y) |
Compiled 42 to 23 computations (45.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1.0ms | x | @ | inf | (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 0.0ms | y | @ | 0 | (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 539× | log-prod_binary64 |
| 346× | pow-prod-down_binary64 |
| 298× | fma-def_binary64 |
| 287× | pow2_binary64 |
| 197× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 224 | 33 |
| 2 | 3077 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y) |
(/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) |
(+.f64 x (*.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) (sqrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2)) (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (neg.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1)))) (#(struct:change 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (/.f64 (pow.f64 (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))) 2) (-.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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| 1× | egg-herbie |
| 652× | unswap-sqr_binary64 |
| 531× | times-frac_binary64 |
| 430× | fma-neg_binary64 |
| 429× | cancel-sign-sub-inv_binary64 |
| 423× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1701 |
| 1 | 296 | 1649 |
| 2 | 931 | 1628 |
| 3 | 3779 | 1564 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
5000000000000000/5641895835477563 |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) (+.f64 5000000000000000/5641895835477563 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) (+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(/.f64 -1 (*.f64 y x)) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))))) |
(/.f64 -1 (*.f64 y x)) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))))) |
5000000000000000/5641895835477563 |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) 5000000000000000/5641895835477563) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) (+.f64 5000000000000000/5641895835477563 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x)) (+.f64 5000000000000000/5641895835477563 (+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(/.f64 -1 (*.f64 y x)) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))))) |
(/.f64 -1 (*.f64 y x)) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 4) (pow.f64 x 4)))) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))))) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)) |
(+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 (-.f64 1 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (pow.f64 y 2))) x)))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)) x (*.f64 5000000000000000/5641895835477563 y)) |
(fma.f64 (*.f64 y y) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 y (fma.f64 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) 5000000000000000/5641895835477563)) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 y (*.f64 (*.f64 y x) (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y x) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) |
(+.f64 (*.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y y) x) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 5000000000000000/5641895835477563 y)))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y (*.f64 y x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)))))) |
(fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (*.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (*.f64 y (*.f64 y 25000000000000000000000000000000/31830988618379068626528276418969)))))) |
(+.f64 (*.f64 y (*.f64 (*.f64 y x) (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y x) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)))) (*.f64 y (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (pow.f64 (*.f64 y x) 3) 5000000000000000/5641895835477563))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(-.f64 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 3)))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
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(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (-.f64 (/.f64 1 x) x)) |
(+.f64 (-.f64 x (/.f64 1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (-.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) x)) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) (fma.f64 5000000000000000/5641895835477563 y x)) |
(+.f64 x (*.f64 y (fma.f64 y (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 x) 5000000000000000/5641895835477563))) |
(+.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) x))) |
(fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 1 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 x (+.f64 (fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y) 1) (*.f64 x (*.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) |
(+.f64 (fma.f64 5000000000000000/5641895835477563 y x) (*.f64 y (*.f64 (*.f64 y x) (+.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 y x) 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547))))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (-.f64 (/.f64 1 x) x)) |
(+.f64 (-.f64 x (/.f64 1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (-.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 x (-.f64 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 3))))) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))) |
(-.f64 x (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x))) |
(+.f64 x (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))))) |
(-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (-.f64 (/.f64 1 x) x)) |
(+.f64 (-.f64 x (/.f64 1 x)) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3))))))) |
(-.f64 x (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 1 x)) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (-.f64 (-.f64 (/.f64 -1 x) (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3))))) |
(+.f64 x (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))))) |
(+.f64 x (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) |
(-.f64 x (+.f64 (*.f64 5641895835477563/5000000000000000 (/.f64 1 (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 3)))))))) |
(-.f64 x (+.f64 (+.f64 (/.f64 5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))))) |
(-.f64 (+.f64 x (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 x (+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -5641895835477563/5000000000000000 (*.f64 y (*.f64 x x))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3)))) (/.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) (pow.f64 x 4))))) |
(+.f64 x (-.f64 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -5641895835477563/5000000000000000 (*.f64 x (*.f64 y x)))) (/.f64 (/.f64 31830988618379068626528276418969/25000000000000000000000000000000 (*.f64 y y)) (pow.f64 x 3))) (/.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (*.f64 x (pow.f64 (*.f64 y x) 3))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 y 5000000000000000/5641895835477563) | |
| ✓ | 0.4b | (*.f64 y 5000000000000000/5641895835477563) |
Compiled 8 to 6 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 y 5000000000000000/5641895835477563) |
| 0.0ms | y | @ | inf | (*.f64 y 5000000000000000/5641895835477563) |
| 0.0ms | y | @ | -inf | (*.f64 y 5000000000000000/5641895835477563) |
| 1× | batch-egg-rewrite |
| 345× | pow1_binary64 |
| 338× | add-sqr-sqrt_binary64 |
| 329× | *-un-lft-identity_binary64 |
| 321× | add-log-exp_binary64 |
| 321× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 80 | 4 |
| 2 | 873 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y 5000000000000000/5641895835477563) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 10000000000000000/5641895835477563) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) (+.f64 1 (*.f64 y 5000000000000000/5641895835477563))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) (+.f64 1 (*.f64 y 5000000000000000/5641895835477563))) 1) (+.f64 (+.f64 1 (*.f64 y 5000000000000000/5641895835477563)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))) (sqrt.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))) 2)) (cbrt.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y 5000000000000000/5641895835477563))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y 5000000000000000/5641895835477563))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 5000000000000000/5641895835477563))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 -5641895835477563/5000000000000000 y) | |
| 0.3b | (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) | |
| 0.0b | (-.f64 x (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y))) | |
| ✓ | 0.0b | (-.f64 x (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) |
| ✓ | 0.3b | (/.f64 -5641895835477563/5000000000000000 y) |
Compiled 22 to 16 computations (27.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 -5641895835477563/5000000000000000 y) |
| 0.0ms | y | @ | 0 | (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) |
| 0.0ms | x | @ | 0 | (-.f64 x (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y))) |
| 0.0ms | y | @ | inf | (/.f64 -5641895835477563/5000000000000000 y) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y))) |
| 1× | batch-egg-rewrite |
| 903× | pow1_binary64 |
| 849× | add-log-exp_binary64 |
| 849× | log1p-expm1-u_binary64 |
| 849× | expm1-log1p-u_binary64 |
| 832× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 180 | 15 |
| 2 | 2375 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -5641895835477563/5000000000000000 y) |
(/.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) |
(-.f64 x (/.f64 1 (/.f64 -5641895835477563/5000000000000000 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -5641895835477563/5000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5641895835477563/5000000000000000 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -5641895835477563/5000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5641895835477563/5000000000000000 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) -5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -5000000000000000/5641895835477563) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -5641895835477563/5000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -5641895835477563/5000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -5641895835477563/5000000000000000 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -5000000000000000/5641895835477563)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5000000000000000/5641895835477563 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5000000000000000/5641895835477563 (pow.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) -1) (pow.f64 (sqrt.f64 (/.f64 -5641895835477563/5000000000000000 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/5641895835477563 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -5000000000000000/5641895835477563 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -5000000000000000/5641895835477563 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -5641895835477563/5000000000000000 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5000000000000000/5641895835477563) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -5000000000000000/5641895835477563))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 5000000000000000/5641895835477563 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) (fma.f64 (*.f64 5000000000000000/5641895835477563 y) 1 (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (cbrt.f64 (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563)) (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) (fma.f64 (neg.f64 y) -5000000000000000/5641895835477563 (*.f64 y -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5000000000000000/5641895835477563 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))) 2) (cbrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))) (sqrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 (*.f64 y -5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (/.f64 1 (+.f64 (*.f64 y -5000000000000000/5641895835477563) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 (*.f64 y -5000000000000000/5641895835477563) x))) (-.f64 (pow.f64 x 3) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 y -5000000000000000/5641895835477563) x) (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 (*.f64 y -5000000000000000/5641895835477563) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y))) (+.f64 (*.f64 y -5000000000000000/5641895835477563) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 (*.f64 y -5000000000000000/5641895835477563) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 y -5000000000000000/5641895835477563) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 5000000000000000/5641895835477563 y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 5000000000000000/5641895835477563 y)) (*.f64 x (*.f64 5000000000000000/5641895835477563 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 5000000000000000/5641895835477563 y))) (-.f64 x (*.f64 5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 5000000000000000/5641895835477563 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 5000000000000000/5641895835477563 y)))))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 153 |
| 1 | 12 | 153 |
| 2 | 13 | 153 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
| Outputs |
|---|
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 -5000000000000000/5641895835477563 y) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(*.f64 5000000000000000/5641895835477563 y) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(fma.f64 y 5000000000000000/5641895835477563 x) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 5641895835477563/5000000000000000 z) | |
| 0.2b | (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) | |
| 0.0b | (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) | |
| 0.0b | (+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))) |
| ✓ | 0.0b | (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
| ✓ | 0.2b | (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
| 0.3b | (*.f64 5641895835477563/5000000000000000 z) |
Compiled 31 to 21 computations (32.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))) |
| 1.0ms | y | @ | inf | (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
| 1.0ms | y | @ | 0 | (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
| 1.0ms | y | @ | -inf | (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))) |
| 1× | batch-egg-rewrite |
| 833× | prod-diff_binary64 |
| 512× | log-prod_binary64 |
| 297× | fma-def_binary64 |
| 282× | pow2_binary64 |
| 193× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 205 | 24 |
| 2 | 2948 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) |
(+.f64 x (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) (/.f64 (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) (-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 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(-.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2)) (/.f64 1 (-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (-.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 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5641895835477563/5000000000000000)) 2)) (-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 3))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (-.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2))) (neg.f64 (-.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) 2) (*.f64 x x)) (-.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 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| 1× | egg-herbie |
| 820× | distribute-lft-out_binary64 |
| 643× | associate-/l/_binary64 |
| 627× | associate-/l*_binary64 |
| 446× | associate-*l/_binary64 |
| 417× | distribute-rgt-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 697 |
| 1 | 154 | 648 |
| 2 | 418 | 605 |
| 3 | 1303 | 587 |
| 4 | 3083 | 565 |
| 5 | 7562 | 565 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.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 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))) |
5641895835477563/5000000000000000 |
(*.f64 5641895835477563/5000000000000000 z) |
(*.f64 5641895835477563/5000000000000000 z) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
x |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
x |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
x |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))) x)))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))) |
| Outputs |
|---|
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y)) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (*.f64 5000000000000000/5641895835477563 y))) |
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 y (+.f64 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) 5000000000000000/5641895835477563)) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3)))))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 -5000000000000000/5641895835477563 (+.f64 (*.f64 y z) (*.f64 y (pow.f64 z 3)))))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (*.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3))))) |
(fma.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3)) (*.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y))) |
(*.f64 (+.f64 (*.f64 z z) 1) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))) |
(*.f64 (fma.f64 y (*.f64 z z) y) (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) |
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))) |
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))) |
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))) |
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) |
(*.f64 5000000000000000/5641895835477563 (/.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z))) |
(*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) |
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z)))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563))) |
(*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z)))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 y (pow.f64 z 4)) (/.f64 y (*.f64 z z)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (*.f64 -5000000000000000/5641895835477563 (+.f64 (/.f64 (/.f64 y z) z) (/.f64 y (pow.f64 z 4)))))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 4)) (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))) |
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) (*.f64 (/.f64 y (pow.f64 z 3)) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z)))) |
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (pow.f64 z 3))) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) |
5641895835477563/5000000000000000 |
(*.f64 5641895835477563/5000000000000000 z) |
(*.f64 z 5641895835477563/5000000000000000) |
(*.f64 5641895835477563/5000000000000000 z) |
(*.f64 z 5641895835477563/5000000000000000) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) |
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
x |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
x |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
x |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) |
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) |
(/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) x) |
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000))) x) |
(+.f64 (/.f64 y (fma.f64 z 5641895835477563/5000000000000000 5641895835477563/5000000000000000)) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x)) |
(fma.f64 5000000000000000/5641895835477563 y (fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) x)) |
(fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) (fma.f64 5000000000000000/5641895835477563 y x)) |
(fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (fma.f64 5000000000000000/5641895835477563 y x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) x))) |
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (fma.f64 y (*.f64 -5000000000000000/5641895835477563 z) x)) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) 5000000000000000/5641895835477563))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3))) x)))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (pow.f64 z 3)) x)))) |
(fma.f64 5000000000000000/5641895835477563 (*.f64 y (*.f64 z z)) (fma.f64 5000000000000000/5641895835477563 y (fma.f64 -5000000000000000/5641895835477563 (*.f64 y (+.f64 z (pow.f64 z 3))) x))) |
(fma.f64 5000000000000000/5641895835477563 (fma.f64 y (*.f64 z z) y) (fma.f64 (*.f64 y -5000000000000000/5641895835477563) (+.f64 z (pow.f64 z 3)) x)) |
(+.f64 x (*.f64 (+.f64 (*.f64 z z) 1) (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z))))) |
(+.f64 x (*.f64 (fma.f64 y (*.f64 z z) y) (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x)) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x)) |
(+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) x) |
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x))) |
(+.f64 x (fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))) |
(+.f64 x (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z))))) |
x |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) x) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x)) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x)) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x)) |
(+.f64 (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)) x) |
(+.f64 (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (/.f64 -5000000000000000/5641895835477563 z))) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 5000000000000000/5641895835477563 (/.f64 y z)) (+.f64 (*.f64 -5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 2))) x))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (*.f64 z z)) x))) |
(fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (fma.f64 5000000000000000/5641895835477563 (/.f64 y z) (fma.f64 -5000000000000000/5641895835477563 (/.f64 (/.f64 y z) z) x))) |
(+.f64 x (fma.f64 5000000000000000/5641895835477563 (/.f64 y (pow.f64 z 3)) (*.f64 (/.f64 y z) (+.f64 (/.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))) |
(+.f64 x (*.f64 (/.f64 y z) (+.f64 5000000000000000/5641895835477563 (+.f64 (/.f64 5000000000000000/5641895835477563 (*.f64 z z)) (/.f64 -5000000000000000/5641895835477563 z))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 z -5000000000000000/5641895835477563) | |
| 0.3b | (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))) | |
| 0.0b | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) | |
| 0.0b | (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)) | |
| ✓ | 0.0b | (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
| ✓ | 0.3b | (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))) |
| ✓ | 0.4b | (*.f64 z -5000000000000000/5641895835477563) |
Compiled 32 to 22 computations (31.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (*.f64 z -5000000000000000/5641895835477563) |
| 2.0ms | x | @ | -inf | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
| 1.0ms | y | @ | 0 | (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))) |
| 0.0ms | y | @ | inf | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
| 0.0ms | y | @ | inf | (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))) |
| 1× | batch-egg-rewrite |
| 525× | log-prod_binary64 |
| 386× | fma-def_binary64 |
| 369× | pow-prod-down_binary64 |
| 294× | pow2_binary64 |
| 202× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 225 | 26 |
| 2 | 3118 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z -5000000000000000/5641895835477563) |
(*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z -5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 z -5000000000000000/5641895835477563))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z -5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z -5000000000000000/5641895835477563)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z -5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z -5000000000000000/5641895835477563))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z -5000000000000000/5641895835477563) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z -5000000000000000/5641895835477563))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z -5000000000000000/5641895835477563) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z -5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z -5000000000000000/5641895835477563)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z -5000000000000000/5641895835477563))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z -5000000000000000/5641895835477563))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z -5000000000000000/5641895835477563))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z -5000000000000000/5641895835477563)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z -5000000000000000/5641895835477563)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z -5000000000000000/5641895835477563))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 5000000000000000/5641895835477563) 1) (*.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 3) (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 3)) (+.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (-.f64 (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2) (*.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 5000000000000000/5641895835477563) 2) (pow.f64 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) 2)) (-.f64 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547) y) (fma.f64 (*.f64 z -5000000000000000/5641895835477563) (fma.f64 z -5000000000000000/5641895835477563 -5000000000000000/5641895835477563) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969)) y) (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 (pow.f64 z 3) -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547)) (fma.f64 (*.f64 z -5000000000000000/5641895835477563) (fma.f64 z -5000000000000000/5641895835477563 -5000000000000000/5641895835477563) 25000000000000000000000000000000/31830988618379068626528276418969))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969))) (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 -5000000000000000/5641895835477563 y) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5000000000000000/5641895835477563 (*.f64 z y) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z -5000000000000000/5641895835477563) y (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 z -5000000000000000/5641895835477563) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 5000000000000000/5641895835477563 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5000000000000000/5641895835477563 y (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 5000000000000000/5641895835477563) (*.f64 z (*.f64 -5000000000000000/5641895835477563 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (*.f64 z -5000000000000000/5641895835477563)) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z -5000000000000000/5641895835477563)) 2) (*.f64 (cbrt.f64 (*.f64 z -5000000000000000/5641895835477563)) y) (*.f64 y 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25000000000000000000000000000000/31830988618379068626528276418969 (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) (/.f64 (*.f64 (*.f64 z z) 25000000000000000000000000000000/31830988618379068626528276418969) (+.f64 5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) (pow.f64 (cbrt.f64 (fma.f64 z 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-5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z -5000000000000000/5641895835477563 5000000000000000/5641895835477563))))))) |
| 1× | egg-herbie |
| 28× | fma-def_binary64 |
| 7× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 2× | associate-+r+_binary64 |
| 2× | associate-+l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 697 |
| 1 | 36 | 577 |
| 2 | 59 | 577 |
| 3 | 71 | 577 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
x |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
x |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
x |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
5000000000000000/5641895835477563 |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(*.f64 -5000000000000000/5641895835477563 z) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(*.f64 -5000000000000000/5641895835477563 z) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
| Outputs |
|---|
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 -5000000000000000/5641895835477563 z) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 5000000000000000/5641895835477563 y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z) |
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z) |
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (*.f64 -5000000000000000/5641895835477563 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
x |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
x |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
x |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) |
(*.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) |
(*.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 (+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) x) |
(fma.f64 5000000000000000/5641895835477563 y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z) |
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) |
(*.f64 (*.f64 -5000000000000000/5641895835477563 y) z) |
(*.f64 z (*.f64 -5000000000000000/5641895835477563 y)) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
(+.f64 (*.f64 5000000000000000/5641895835477563 y) (+.f64 (*.f64 -5000000000000000/5641895835477563 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y x) |
(fma.f64 (fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) y x) |
5000000000000000/5641895835477563 |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(*.f64 -5000000000000000/5641895835477563 z) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(*.f64 -5000000000000000/5641895835477563 z) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
(+.f64 5000000000000000/5641895835477563 (*.f64 -5000000000000000/5641895835477563 z)) |
(+.f64 (*.f64 -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) |
(fma.f64 -5000000000000000/5641895835477563 z 5000000000000000/5641895835477563) |
Compiled 11068 to 7205 computations (34.9% saved)
17 alts after pruning (6 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 763 | 4 | 767 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 10 | 13 |
| Total | 767 | 17 | 784 |
| Status | Error | Program |
|---|---|---|
| ✓ | 52.4b | (*.f64 y 5000000000000000/5641895835477563) |
| ✓ | 52.2b | (/.f64 -1 x) |
| 35.8b | (-.f64 x (/.f64 (*.f64 y (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (*.f64 y x) 2) 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961))) (-.f64 -5000000000000000/5641895835477563 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))))) | |
| 35.5b | (+.f64 x (*.f64 y (+.f64 (*.f64 z -5000000000000000/5641895835477563) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))) | |
| ✓ | 31.3b | (+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
| ✓ | 35.3b | (-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
| ✓ | 10.6b | (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
| 52.4b | (/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) | |
| ✓ | 26.4b | (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
| ✓ | 23.7b | (+.f64 x (/.f64 -1 x)) |
| ✓ | 26.1b | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| ✓ | 4.9b | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| ✓ | 12.6b | (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
| 21.2b | x | |
| 35.6b | (+.f64 x (*.f64 y (+.f64 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) 5000000000000000/5641895835477563))) | |
| ✓ | 22.3b | (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| 26.4b | (+.f64 x (*.f64 (/.f64 1 5641895835477563/5000000000000000) y)) |
Compiled 201 to 147 computations (26.9% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 (/.f64 1 5641895835477563/5000000000000000) y)) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) 5000000000000000/5641895835477563))) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z -5000000000000000/5641895835477563) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(-.f64 x (/.f64 (*.f64 y (-.f64 25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 (pow.f64 (*.f64 y x) 2) 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961))) (-.f64 -5000000000000000/5641895835477563 (*.f64 x (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 y))))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
7 calls:
| 29.0ms | z |
| 27.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 20.0ms | x |
| 11.0ms | y |
| 7.0ms | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| Error | Segments | Branch |
|---|---|---|
| 3.4b | 2 | x |
| 4.9b | 1 | y |
| 0.1b | 3 | z |
| 0.1b | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) |
| 0.1b | 3 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.1b | 3 | (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) |
| 0.1b | 3 | (exp.f64 z) |
Compiled 199 to 130 computations (34.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000104465932051 | 1.0203161560410485 |
| 0.0ms | 0.0 | 0.7941461835023014 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 (/.f64 1 5641895835477563/5000000000000000) y)) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) 5000000000000000/5641895835477563))) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z -5000000000000000/5641895835477563) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
(+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))) |
5 calls:
| 24.0ms | z |
| 24.0ms | x |
| 8.0ms | y |
| 7.0ms | (exp.f64 z) |
| 6.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 8.1b | 3 | x |
| 10.6b | 1 | y |
| 0.4b | 3 | z |
| 0.4b | 3 | (exp.f64 z) |
| 0.4b | 3 | (exp.f64 z) |
Compiled 142 to 92 computations (35.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000104465932051 | 1.0203161560410485 |
| 0.0ms | 0.0 | 0.7941461835023014 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 (/.f64 1 5641895835477563/5000000000000000) y)) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) 5000000000000000/5641895835477563))) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z -5000000000000000/5641895835477563) (+.f64 5000000000000000/5641895835477563 (*.f64 (*.f64 z z) 2500000000000000/5641895835477563))))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) |
x |
3 calls:
| 25.0ms | z |
| 9.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.6b | 1 | x |
| 10.6b | 1 | y |
| 0.6b | 3 | z |
Compiled 124 to 79 computations (36.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 0.02011253617245148 | 6.949114589825778e+21 |
| 24.0ms | -4.511619976973267e+19 | -1380482036325311.8 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 (/.f64 1 5641895835477563/5000000000000000) y)) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
(+.f64 x (*.f64 y (+.f64 5000000000000000/5641895835477563 (*.f64 z -5000000000000000/5641895835477563)))) |
(-.f64 x (*.f64 y (+.f64 -5000000000000000/5641895835477563 (*.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (*.f64 y x))))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 z (+.f64 -5000000000000000/5641895835477563 (*.f64 5000000000000000/5641895835477563 z))) 5000000000000000/5641895835477563))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) |
x |
3 calls:
| 22.0ms | z |
| 21.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.3b | 3 | x |
| 12.6b | 1 | y |
| 0.7b | 3 | z |
Compiled 96 to 62 computations (35.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.02011253617245148 | 6.949114589825778e+21 |
| 24.0ms | -4.511619976973267e+19 | -1380482036325311.8 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 (/.f64 1 5641895835477563/5000000000000000) y)) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
x |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
x |
3 calls:
| 50.0ms | z |
| 35.0ms | x |
| 18.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 6 | x |
| 14.1b | 3 | y |
| 5.9b | 8 | z |
Compiled 54 to 36 computations (33.3% saved)
| 7× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.02011253617245148 | 6.949114589825778e+21 |
| 24.0ms | 2.3038656370767855e-215 | 2.761424129505238e-215 |
| 24.0ms | 2.3107020931961485e-264 | 2.4055659091692245e-262 |
| 25.0ms | -1.70760848744204e-214 | -5.2946873895459805e-217 |
| 28.0ms | -4.14422874757054e-78 | -1.5546620611407155e-78 |
| 29.0ms | -6.057438566357171e-47 | -5.22403654175934e-49 |
| 27.0ms | -1262.0749095857698 | -0.23048772447679525 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (*.f64 (/.f64 1 5641895835477563/5000000000000000) y)) |
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
x |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
(+.f64 x (/.f64 -1 x)) |
(+.f64 x (/.f64 y 5641895835477563/5000000000000000)) |
x |
3 calls:
| 38.0ms | z |
| 28.0ms | x |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.4b | 6 | x |
| 14.1b | 3 | y |
| 5.9b | 8 | z |
Compiled 46 to 32 computations (30.4% saved)
| 7× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.02011253617245148 | 6.949114589825778e+21 |
| 23.0ms | 2.3038656370767855e-215 | 2.761424129505238e-215 |
| 24.0ms | 2.3107020931961485e-264 | 2.4055659091692245e-262 |
| 23.0ms | -1.70760848744204e-214 | -5.2946873895459805e-217 |
| 23.0ms | -4.14422874757054e-78 | -1.5546620611407155e-78 |
| 26.0ms | -6.057438566357171e-47 | -5.22403654175934e-49 |
| 25.0ms | -1262.0749095857698 | -0.23048772447679525 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
(+.f64 x (/.f64 -1 x)) |
| Outputs |
|---|
(+.f64 x (/.f64 -1 x)) |
x |
(*.f64 y 5000000000000000/5641895835477563) |
x |
(+.f64 x (/.f64 -1 x)) |
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
x |
3 calls:
| 32.0ms | z |
| 21.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.0b | 4 | x |
| 15.9b | 5 | y |
| 9.9b | 9 | z |
Compiled 27 to 19 computations (29.6% saved)
| 8× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.02011253617245148 | 6.949114589825778e+21 |
| 25.0ms | 3.237182606877155e-38 | 2.389753332662742e-37 |
| 24.0ms | 5.031793663524668e-44 | 9.317836988647516e-39 |
| 23.0ms | 2.2428966781362297e-197 | 5.0920227984957355e-197 |
| 23.0ms | 2.3107020931961485e-264 | 2.4055659091692245e-262 |
| 23.0ms | -3.8725426552194944e-240 | -4.6319475226751326e-260 |
| 24.0ms | -9.641171665446958e-220 | -6.580791063511534e-220 |
| 24.0ms | -4.14422874757054e-78 | -1.5546620611407155e-78 |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
| Outputs |
|---|
x |
(/.f64 -1 x) |
(*.f64 y 5000000000000000/5641895835477563) |
x |
3 calls:
| 22.0ms | z |
| 13.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.2b | 4 | x |
| 20.2b | 3 | y |
| 17.4b | 6 | z |
Compiled 22 to 16 computations (27.3% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 9.049823382500054e-163 | 3.07162082385046e-156 |
| 30.0ms | -1.2286331427034351e-190 | -8.073828538873921e-191 |
| 26.0ms | -3.9955234562086726e-76 | -1.044568908175433e-82 |
Compiled 21 to 15 computations (28.6% saved)
Total -44.8b remaining (-246.6%)
Threshold costs -44.8b (-246.6%)
| Inputs |
|---|
x |
(/.f64 -1 x) |
| Outputs |
|---|
x |
(/.f64 -1 x) |
x |
(/.f64 -1 x) |
x |
3 calls:
| 17.0ms | x |
| 12.0ms | z |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.2b | 5 | x |
| 21.2b | 1 | y |
| 19.6b | 2 | z |
Compiled 19 to 14 computations (26.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.4758526918825226e-35 | 2.3280555392556635e-26 |
| 22.0ms | 5.2977996020236805e-143 | 2.384465652404173e-135 |
| 29.0ms | -8.644472879847965e-196 | -5.919072566112212e-204 |
| 23.0ms | -3.9955234562086726e-76 | -1.044568908175433e-82 |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | cancel-sign-sub-inv_binary64 |
| 3× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 498 |
| 1 | 137 | 498 |
| 2 | 148 | 498 |
| 3 | 153 | 498 |
| 4 | 155 | 498 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2296835809958953/2251799813685248) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2296835809958953/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) |
(if (<=.f64 z -23653882144873601795358720/524288) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x)) |
(if (<=.f64 z -23653882144873601795358720/524288) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)) |
(if (<=.f64 z -5550664152855591/4398046511104) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -389357139321639/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -8852018878701423616/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z -265109307132001504/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) x (if (<=.f64 z 5243000920162474/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 35767930837916084/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))))) |
(if (<=.f64 z -5550664152855591/4398046511104) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -389357139321639/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -8852018878701423616/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -265109307132001504/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) x (if (<=.f64 z 5243000920162474/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 35767930837916084/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))))) |
(if (<=.f64 z -8852018878701423616/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -191591596052267/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) x (if (<=.f64 z -3634147394290549/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328) (*.f64 y 5000000000000000/5641895835477563) (if (<=.f64 z 5243000920162474/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) x (if (<=.f64 z 1887670614420475/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 315850807374184/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 z 6201209887509817/191561942608236107294793378393788647952342390272950272) (/.f64 -1 x) (if (<=.f64 z 371010807446438336/18446744073709551616) (*.f64 y 5000000000000000/5641895835477563) x)))))))) |
(if (<=.f64 x -6511220019668299/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) x (if (<=.f64 x -2465353890902155/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704) (/.f64 -1 x) (if (<=.f64 x 7334449808849067/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (*.f64 y 5000000000000000/5641895835477563) x))) |
(if (<=.f64 x -6511220019668299/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) x (if (<=.f64 x -72753763432399264/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 -1 x) (if (<=.f64 x 2909465784945043/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) x (if (<=.f64 x 2760910240826275/187072209578355573530071658587684226515959365500928) (/.f64 -1 x) x)))) |
x |
| Outputs |
|---|
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2296835809958953/2251799813685248) (+.f64 x (/.f64 y (-.f64 (*.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y)))) (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2296835809958953/2251799813685248) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) 5641895835477563/5000000000000000) (*.f64 x y)))) (+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2296835809958953/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) (+.f64 x (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))) |
(if (<=.f64 (exp.f64 z) 0) (+.f64 x (/.f64 -1 x)) (if (<=.f64 (exp.f64 z) 2296835809958953/2251799813685248) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) (+.f64 x (/.f64 (*.f64 y 5000000000000000/5641895835477563) (exp.f64 z))))) |
(if (<=.f64 z -23653882144873601795358720/524288) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) (*.f64 y x)))) x)) |
(if (<=.f64 z -45116199769732669440) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5797043866350599/288230376151711744) (+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 z 5641895835477563/5000000000000000)) (*.f64 x y)))) x)) |
(if (<=.f64 z -23653882144873601795358720/524288) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))) x)) |
(if (<=.f64 z -45116199769732669440) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5797043866350599/288230376151711744) (+.f64 x (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))) x)) |
(if (<=.f64 z -5550664152855591/4398046511104) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -389357139321639/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -8852018878701423616/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z -265109307132001504/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) x (if (<=.f64 z 5243000920162474/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 35767930837916084/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))))) |
(if (<=.f64 z -5550664152855591/4398046511104) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -389357139321639/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -8644549686231859/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) (if (<=.f64 z -8284665847875047/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) x (if (<=.f64 z 2621500460081237/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 8941982709479021/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5797043866350599/288230376151711744) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))))) |
(if (<=.f64 z -5550664152855591/4398046511104) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -389357139321639/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -8644549686231859/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (+.f64 x (/.f64 y (*.f64 x (neg.f64 y)))) (if (<=.f64 z -8284665847875047/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) x (if (<=.f64 z 2621500460081237/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 8941982709479021/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5797043866350599/288230376151711744) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))))) |
(if (<=.f64 z -5550664152855591/4398046511104) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -389357139321639/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -8852018878701423616/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -265109307132001504/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) x (if (<=.f64 z 5243000920162474/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 35767930837916084/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 371010807446438336/18446744073709551616) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))))) |
(if (<=.f64 z -5550664152855591/4398046511104) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -389357139321639/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z -8644549686231859/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -8284665847875047/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) x (if (<=.f64 z 2621500460081237/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) (if (<=.f64 z 8941982709479021/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 5797043866350599/288230376151711744) (+.f64 x (/.f64 y 5641895835477563/5000000000000000)) x))))))) |
(if (<=.f64 z -8852018878701423616/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -191591596052267/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) x (if (<=.f64 z -3634147394290549/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328) (*.f64 y 5000000000000000/5641895835477563) (if (<=.f64 z 5243000920162474/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) x (if (<=.f64 z 1887670614420475/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 315850807374184/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 z 6201209887509817/191561942608236107294793378393788647952342390272950272) (/.f64 -1 x) (if (<=.f64 z 371010807446438336/18446744073709551616) (*.f64 y 5000000000000000/5641895835477563) x)))))))) |
(if (<=.f64 z -8644549686231859/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z -191591596052267/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) x (if (<=.f64 z -3634147394290549/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328) (*.f64 y 5000000000000000/5641895835477563) (if (<=.f64 z 2621500460081237/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) x (if (<=.f64 z 1887670614420475/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x (/.f64 -1 x)) (if (<=.f64 z 39481350921773/784637716923335095479473677900958302012794430558004314112) x (if (<=.f64 z 6201209887509817/191561942608236107294793378393788647952342390272950272) (/.f64 -1 x) (if (<=.f64 z 5797043866350599/288230376151711744) (*.f64 y 5000000000000000/5641895835477563) x)))))))) |
(if (<=.f64 x -6511220019668299/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) x (if (<=.f64 x -2465353890902155/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704) (/.f64 -1 x) (if (<=.f64 x 7334449808849067/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (*.f64 y 5000000000000000/5641895835477563) x))) |
(if (<=.f64 x -6511220019668299/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) x (if (<=.f64 x -72753763432399264/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (/.f64 -1 x) (if (<=.f64 x 2909465784945043/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) x (if (<=.f64 x 2760910240826275/187072209578355573530071658587684226515959365500928) (/.f64 -1 x) x)))) |
(if (<=.f64 x -6511220019668299/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) x (if (<=.f64 x -2273555107262477/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688) (/.f64 -1 x) (if (<=.f64 x 2909465784945043/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) x (if (<=.f64 x 2760910240826275/187072209578355573530071658587684226515959365500928) (/.f64 -1 x) x)))) |
x |
| 1× | fuel |
Compiled 723 to 463 computations (36% saved)
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