Time bar (total: 9.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 48.3% | 43.7% | 46.8% | 0.1% | 9.4% | 0% | 0% | 7 |
| 52.6% | 46.8% | 42.1% | 0.1% | 10.9% | 0% | 0% | 8 |
| 56.1% | 46.8% | 36.7% | 0.1% | 16.4% | 0% | 0% | 9 |
| 58.8% | 48.4% | 34% | 0.1% | 17.6% | 0% | 0% | 10 |
| 60.9% | 48.4% | 31% | 0.1% | 20.5% | 0% | 0% | 11 |
| 62.5% | 49.2% | 29.6% | 0.1% | 21.2% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.1s | 6980× | body | 256 | valid |
| 791.0ms | 2085× | body | 1024 | infinite |
| 340.0ms | 1633× | body | 256 | infinite |
| 299.0ms | 630× | body | 1024 | valid |
| 267.0ms | 1067× | body | 512 | infinite |
| 173.0ms | 645× | body | 512 | valid |
| 1.0ms | 1× | body | 2048 | valid |
| 1.0ms | 1× | body | 2048 | infinite |
| 2× | egg-herbie |
| 1416× | associate-/r* |
| 1204× | associate-*l/ |
| 1180× | fma-def |
| 916× | *-commutative |
| 780× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 30 | 42 |
| 2 | 69 | 42 |
| 3 | 146 | 42 |
| 4 | 333 | 42 |
| 5 | 823 | 42 |
| 6 | 2723 | 42 |
| 7 | 6943 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
(/.f64 (sin.f64 y) (/.f64 y (sinh.f64 x))) |
(*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 1366× | associate-*r* |
| 1204× | fma-neg |
| 980× | associate-/l* |
| 772× | associate-*l* |
| 768× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 39 | 21 |
| 3 | 79 | 21 |
| 4 | 175 | 21 |
| 5 | 423 | 21 |
| 6 | 1383 | 21 |
| 7 | 5708 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 51 to 16 computations (68.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 3 | 7 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 3 | 8 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 0.5b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| ▶ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
Compiled 27 to 18 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 2.0ms | x | @ | inf | (/.f64 (sin.f64 x) x) |
| 2.0ms | y | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 1204× | associate-*r/ |
| 936× | *-commutative |
| 838× | associate-*l/ |
| 834× | associate-/r* |
| 700× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 187 | 32 |
| 2 | 2476 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 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*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) 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| 1× | egg-herbie |
| 1066× | associate-/l* |
| 964× | distribute-lft-in |
| 954× | distribute-rgt-in |
| 700× | associate-/l/ |
| 554× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 515 | 6443 |
| 1 | 1353 | 6317 |
| 2 | 5938 | 6317 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
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(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1 x)) 2) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (sinh.f64 y) 1) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 x (sin.f64 x))))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y))) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 x (*.f64 x -1/6)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/10080 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
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(/.f64 (sinh.f64 y) (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1) x) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) 1) (cbrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (sinh.f64 y)) |
| ✓ | 0.5b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 1.0ms | x | @ | inf | (/.f64 x (sinh.f64 y)) |
| 1.0ms | y | @ | 0 | (/.f64 x (sinh.f64 y)) |
| 1.0ms | y | @ | inf | (/.f64 x (sinh.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 1618× | associate-*r/ |
| 1528× | associate-/l* |
| 1094× | associate-*l/ |
| 1026× | *-commutative |
| 538× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 193 | 32 |
| 2 | 2707 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 x (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 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| 1× | egg-herbie |
| 1074× | distribute-lft-in |
| 1066× | distribute-rgt-in |
| 620× | distribute-lft-neg-in |
| 558× | distribute-rgt-neg-in |
| 506× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 6047 |
| 1 | 1082 | 4695 |
| 2 | 4300 | 4607 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
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(log.f64 (exp.f64 (/.f64 x (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) |
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) -1/10080)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (/.f64 x y))) |
(fma.f64 -1/6 (*.f64 y x) (fma.f64 -1 (*.f64 (pow.f64 y 3) (*.f64 x -7/360)) (/.f64 x y))) |
(fma.f64 -1/6 (*.f64 y x) (-.f64 (/.f64 x y) (*.f64 (pow.f64 y 3) (*.f64 x -7/360)))) |
(+.f64 (/.f64 x y) (*.f64 x (-.f64 (*.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3))))) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y)))) |
(fma.f64 -1/6 (*.f64 y x) (fma.f64 -1 (*.f64 (pow.f64 y 3) (*.f64 x -7/360)) (fma.f64 -1 (*.f64 (pow.f64 y 5) (fma.f64 -1/720 x (fma.f64 -1/6 (*.f64 x -7/360) (*.f64 x 1/5040)))) (/.f64 x y)))) |
(fma.f64 -1/6 (*.f64 y x) (-.f64 (-.f64 (/.f64 x y) (*.f64 (pow.f64 y 5) (fma.f64 x -1/720 (fma.f64 x 1/5040 (*.f64 x 7/2160))))) (*.f64 (pow.f64 y 3) (*.f64 x -7/360)))) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 x (-.f64 (*.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3)))) (*.f64 (pow.f64 y 5) (fma.f64 x -1/720 (*.f64 x 13/3780))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
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(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) 1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 x (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (sinh.f64 y)) 1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 1 (/.f64 x (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (sinh.f64 y)) x) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2)) |
(pow.f64 (/.f64 x (sinh.f64 y)) 1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (/.f64 (sinh.f64 y) x) -1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2)) |
(fabs.f64 (/.f64 x (sinh.f64 y))) |
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1612× | associate-*r/ |
| 1556× | associate-/l* |
| 1116× | associate-*l/ |
| 1024× | *-commutative |
| 498× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 193 | 32 |
| 2 | 2708 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (sin.f64 x)) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 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| 1× | egg-herbie |
| 884× | distribute-rgt-in |
| 878× | distribute-lft-in |
| 700× | distribute-lft-neg-out |
| 690× | distribute-rgt-neg-out |
| 454× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 4153 |
| 1 | 855 | 4071 |
| 2 | 3843 | 3995 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x 1) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6)))) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 10324 to 3496 computations (66.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 8 | 672 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 666 | 9 | 675 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
| 16.5b | (/.f64 (*.f64 y (sin.f64 x)) x) | |
| ▶ | 30.5b | (/.f64 (sinh.f64 y) 1) |
| ▶ | 1.2b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ▶ | 1.2b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 0.9b | (/.f64 y (/.f64 x (sin.f64 x))) | |
| ▶ | 0.4b | (/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))) |
| 16.1b | (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) | |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
Compiled 167 to 114 computations (31.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (sinh.f64 y)) |
| 0.1b | (/.f64 (sin.f64 x) x) | |
| ✓ | 0.1b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
Compiled 26 to 11 computations (57.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 1 (sinh.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
| 0.0ms | y | @ | 0 | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
| 1× | batch-egg-rewrite |
| 922× | unswap-sqr |
| 894× | associate-/r/ |
| 772× | swap-sqr |
| 724× | associate-/l/ |
| 442× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 234 | 32 |
| 2 | 3243 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1518× | unswap-sqr |
| 568× | distribute-rgt-in |
| 566× | distribute-lft-in |
| 480× | *-commutative |
| 422× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 374 | 4807 |
| 1 | 968 | 4699 |
| 2 | 3626 | 4599 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))) |
(+.f64 (*.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3))))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 x) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 1 (*.f64 (pow.f64 (sinh.f64 y) -1/2) x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (sinh.f64 y) -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1/2) (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1/2)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3) |
(pow.f64 (*.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))) 1)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))) 1)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (/.f64 1 (pow.f64 (sinh.f64 y) 3)))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1) |
(*.f64 1 (/.f64 1 (sinh.f64 y))) |
(*.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (sinh.f64 y)) 1) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) -1) |
(*.f64 -1 (/.f64 -1 (sinh.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1)) |
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6)) |
(pow.f64 (/.f64 1 (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3) |
(pow.f64 (sinh.f64 y) -1) |
(neg.f64 (/.f64 -1 (sinh.f64 y))) |
(sqrt.f64 (pow.f64 (sinh.f64 y) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) |
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) -1/10080)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
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(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
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(/.f64 1 (sinh.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6)) |
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3))) |
(pow.f64 (/.f64 1 (sinh.f64 y)) 1) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3))) |
(pow.f64 (sinh.f64 y) -1) |
(/.f64 1 (sinh.f64 y)) |
(neg.f64 (/.f64 -1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (sinh.f64 y) -2)) |
(/.f64 1 (sinh.f64 y)) |
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y))))) |
(/.f64 1 (sinh.f64 y)) |
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1)) |
(/.f64 1 (sinh.f64 y)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1)) |
(/.f64 1 (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
Compiled 10 to 6 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 (sin.f64 x) (/.f64 x y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1792× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 169 | 17 |
| 2 | 2361 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1370× | associate-*r/ |
| 936× | associate-*l/ |
| 760× | associate-/l* |
| 740× | associate-+l- |
| 668× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1352 |
| 1 | 344 | 1316 |
| 2 | 1319 | 1316 |
| 3 | 6286 | 1316 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 (*.f64 x (*.f64 y -1/6)) x y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (*.f64 x (*.f64 y -1/6)) x y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 (*.f64 x (*.f64 y -1/6)) x y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 -1/6 (*.f64 y x)) |
| ✓ | 0.5b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
Compiled 39 to 15 computations (61.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 2.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1.0ms | y | @ | inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1× | batch-egg-rewrite |
| 1530× | associate-*l/ |
| 1524× | associate-/r* |
| 1178× | associate-/l* |
| 420× | associate-/r/ |
| 276× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 1 | 263 | 44 |
| 2 | 3653 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 -1/6 (*.f64 y x)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 -1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))))))) |
| 1× | egg-herbie |
| 1514× | associate-*r/ |
| 942× | associate-/r* |
| 882× | associate-*l/ |
| 878× | *-commutative |
| 516× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 4973 |
| 1 | 707 | 4669 |
| 2 | 2477 | 4433 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 1) |
(*.f64 1 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))))) |
(*.f64 (/.f64 -1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (neg.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36))) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (neg.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36))) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (cbrt.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) 1) |
(pow.f64 (*.f64 x (*.f64 -1/6 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) -1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))) |
| Outputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
(fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 (*.f64 (/.f64 x (fma.f64 y -1/6 (/.f64 1 y))) x) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))) |
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y)))))) |
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (*.f64 (/.f64 x (fma.f64 y -1/6 (/.f64 1 y))) x) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))))) |
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))))))) |
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 x (fma.f64 y -1/6 (/.f64 1 y))) x) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 y -1/6 (/.f64 1 y))) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y)))))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/36 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/216 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (fma.f64 1/216 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/36 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/216 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(*.f64 (/.f64 -6 (*.f64 y x)) (sin.f64 x)) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7)))) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -216 (pow.f64 y 5))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(*.f64 (/.f64 -6 (*.f64 y x)) (sin.f64 x)) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
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(*.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (/.f64 (sin.f64 x) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 x -1/6) y) (/.f64 x y)))) |
(*.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (/.f64 (sin.f64 x) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))))) |
(*.f64 (/.f64 1 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y x) 2) 1/36 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 (*.f64 x -1/6) y)))))) |
(*.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 y (*.f64 -1/6 x))))) (/.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) (*.f64 y (*.f64 x 1/6))))) (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (neg.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 x -1/6) y) (/.f64 x y)))) |
(*.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (/.f64 (sin.f64 x) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 1 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y x) 2) 1/36 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 (*.f64 x -1/6) y)))))) |
(*.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 y (*.f64 -1/6 x))))) (/.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) (*.f64 y (*.f64 x 1/6))))) (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36))) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 x -1/6) y) (/.f64 x y)))) |
(*.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (/.f64 (sin.f64 x) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3))) (sqrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) 1/36 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 (*.f64 x -1/6) y)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) (sqrt.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 y (*.f64 -1/6 x))))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) (sqrt.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) (*.f64 y (*.f64 x 1/6))))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2))) (sqrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x -1/6) y) (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) (sqrt.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2))))) (sqrt.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) (pow.f64 (/.f64 x y) 3)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) 2))) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) 1/36 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 (*.f64 x -1/6) y)))))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3))) (cbrt.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 y (*.f64 -1/6 x)))))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) 2)) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) (cbrt.f64 (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) (*.f64 y (*.f64 x 1/6))))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) (cbrt.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) 2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x -1/6) y) (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) 2)) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) 2)) (cbrt.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)))) (cbrt.f64 (-.f64 (*.f64 y (*.f64 -1/6 x)) (/.f64 x y)))) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 1) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 2) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 3) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3) 1/3) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) (sin.f64 x)) -1) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 2)) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))) 3)) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y)))) 1)) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 x y) (/.f64 x y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y x) (/.f64 x y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) 1) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(pow.f64 (*.f64 x (*.f64 -1/6 y)) 1) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 3) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/216)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) |
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) -1/6)) |
(*.f64 -1/6 (log.f64 (pow.f64 (exp.f64 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y))))) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 y)))) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 y))) 1)) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))) |
(*.f64 (*.f64 x -1/6) y) |
(*.f64 y (*.f64 -1/6 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)) |
| ✓ | 0.1b | (/.f64 (+.f64 x x) (sin.f64 x)) |
| ✓ | 0.4b | (/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))) |
Compiled 38 to 10 computations (73.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)) |
| 1.0ms | y | @ | 0 | (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)) |
| 1.0ms | y | @ | inf | (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 924× | unswap-sqr |
| 874× | swap-sqr |
| 518× | distribute-lft-neg-in |
| 456× | distribute-rgt-neg-in |
| 374× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 77 |
| 1 | 270 | 77 |
| 2 | 4039 | 77 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (sin.f64 x)) |
(/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1280× | associate-/r/ |
| 1020× | associate-*r* |
| 896× | associate-*l* |
| 866× | *-commutative |
| 798× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 482 | 9472 |
| 1 | 1493 | 8984 |
| 2 | 6128 | 8984 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
2 |
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(+.f64 2 (+.f64 (*.f64 7/180 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 31/7560 (pow.f64 x 6))))) |
(*.f64 2 (/.f64 x (sin.f64 x))) |
(*.f64 2 (/.f64 x (sin.f64 x))) |
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(*.f64 2 (/.f64 x (sin.f64 x))) |
(*.f64 2 (/.f64 x (sin.f64 x))) |
(*.f64 2 (/.f64 x (sin.f64 x))) |
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(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
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(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
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(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) 1) |
(*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) |
(*.f64 (sinh.f64 y) (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))) |
(*.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 1) |
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(*.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (sinh.f64 y)) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))) 2) |
(*.f64 -2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) |
(*.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) 1) (sinh.f64 y)) |
(*.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 2 (+.f64 x x)) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))))) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) (*.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))) |
(pow.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 1) |
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1/2) -1) |
(neg.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) |
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(exp.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
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(*.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 1) |
(*.f64 (*.f64 2 (/.f64 x (sin.f64 x))) -1) |
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(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) |
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(*.f64 (neg.f64 (/.f64 2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x)))) (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x)))) (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))))) (*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 x x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 x x))) |
(pow.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 1) |
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3) 1/3) |
(pow.f64 (*.f64 (sin.f64 x) (+.f64 x x)) -1) |
(neg.f64 (*.f64 2 (/.f64 x (sin.f64 x)))) |
(sqrt.f64 (/.f64 (+.f64 x x) (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (sin.f64 x))))) |
(log.f64 (/.f64 1 (exp.f64 (*.f64 2 (/.f64 x (sin.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3)) |
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (sin.f64 x))))) |
(+.f64 0 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) 1) |
(-.f64 0 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) 1) |
(*.f64 (+.f64 x x) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (+.f64 x x) (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (+.f64 x x) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))) |
(*.f64 (+.f64 x x) (neg.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (/.f64 1 (sinh.f64 y))) |
(*.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (neg.f64 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1) |
(*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) -1) |
(*.f64 1 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (neg.f64 (*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (/.f64 1 (sinh.f64 y))))) |
(*.f64 (/.f64 1 (sinh.f64 y)) (*.f64 2 (/.f64 x (sin.f64 x)))) |
(*.f64 (*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1/2) 2) |
(*.f64 (*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1/2) -2) |
(*.f64 (/.f64 (+.f64 x x) 1) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (/.f64 (+.f64 x x) 1) (neg.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 (+.f64 x x) (sinh.f64 y)) (*.f64 2 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 -1 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) (*.f64 2 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 2 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sinh.f64 y))) (neg.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 1) (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) 1) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) 1) (neg.f64 (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y))) (neg.f64 (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 2 (sinh.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 1)) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (sinh.f64 y))) |
(*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) 1)) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sinh.f64 y))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))))) |
(pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3) 1/3) |
(pow.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))) -1) |
(neg.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(log.f64 (/.f64 1 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
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2 |
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(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(/.f64 (*.f64 4 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 4 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(/.f64 (*.f64 4 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 4 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(/.f64 (*.f64 4 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 4 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 4 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(/.f64 (*.f64 4 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 4 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) 1) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (sinh.f64 y) (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 1) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 1 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (sinh.f64 y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 2 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 x -2))) |
(*.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))) 2) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 -2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) |
(*.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 2 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 x -2))) |
(*.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) 1) (sinh.f64 y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 x x)) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (sinh.f64 y) (*.f64 1 (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x))))) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x)))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x))))) 2))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x)))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x))))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) (*.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x)))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x))))) 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (*.f64 2 (*.f64 (sin.f64 x) (+.f64 x x)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))) |
(*.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 2 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 x -2))) |
(pow.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 1) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 2) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 3) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 3) 1/3) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(pow.f64 (*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1/2) -1) |
(*.f64 (/.f64 2 (+.f64 x x)) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (sinh.f64 y) (*.f64 1 (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) |
(*.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 2 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 x -2))) |
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 2))) |
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) 2))) |
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) 2))) |
(log.f64 (pow.f64 (exp.f64 2) (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) 3)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))))) 1)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (+.f64 x x))) |
(*.f64 (sinh.f64 y) (*.f64 (+.f64 x x) (*.f64 2 (sin.f64 x)))) |
(+.f64 0 (*.f64 2 (/.f64 x (sin.f64 x)))) |
(*.f64 2 (/.f64 x (sin.f64 x))) |
(/.f64 2 (/.f64 (sin.f64 x) x)) |
(+.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 x (/.f64 1 (sin.f64 x)))) |
(*.f64 2 (/.f64 x (sin.f64 x))) |
(/.f64 2 (/.f64 (sin.f64 x) x)) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (sin.f64 x)))))) 1) |
(*.f64 (/.f64 x (sin.f64 x)) -2) |
(/.f64 -2 (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 -2 (sin.f64 x)) x) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) x) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(*.f64 2 (/.f64 x (sin.f64 x))) |
(/.f64 2 (/.f64 (sin.f64 x) x)) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (*.f64 x x))) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (*.f64 x x)))) |
(*.f64 2 (*.f64 (+.f64 x x) (/.f64 (*.f64 x 1) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) 4) (sin.f64 x)) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (+.f64 x x) x))) |
(*.f64 2 (*.f64 (+.f64 x x) (/.f64 (*.f64 x 1) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) 4) (sin.f64 x)) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) -2) |
(/.f64 -2 (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 -2 (sin.f64 x)) x) |
(+.f64 (*.f64 (*.f64 2 (*.f64 x x)) (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 2 (*.f64 x x)) (/.f64 1 (sin.f64 x)))) |
(*.f64 2 (*.f64 (+.f64 x x) (/.f64 (*.f64 x 1) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) 4) (sin.f64 x)) |
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 (+.f64 x x) x) (/.f64 1 (sin.f64 x)))) |
(*.f64 2 (*.f64 (+.f64 x x) (/.f64 (*.f64 x 1) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) 4) (sin.f64 x)) |
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(neg.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 2) (/.f64 1 (sinh.f64 y)))) |
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(neg.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (sin.f64 x))) 3) (/.f64 1 (sinh.f64 y)))) |
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) 2))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) 2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (sin.f64 x))) 2) (/.f64 1 (sinh.f64 y))) |
(/.f64 (pow.f64 (*.f64 x (/.f64 2 (sqrt.f64 (sin.f64 x)))) 2) (sinh.f64 y)) |
(pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 1) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 2) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 3) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3) 1/3) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(pow.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x))) -1) |
(/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (+.f64 x x)))) |
(/.f64 (/.f64 1 (*.f64 2 (*.f64 x (sin.f64 x)))) (sinh.f64 y)) |
(neg.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) -2) (sinh.f64 y)) |
(/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sinh.f64 y) -2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) 2)) |
(fabs.f64 (/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(log.f64 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(log.f64 (/.f64 1 (exp.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) |
(/.f64 (*.f64 (/.f64 x (sin.f64 x)) -2) (sinh.f64 y)) |
(/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sinh.f64 y) -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))) 3)) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 3) (pow.f64 (sinh.f64 y) 3))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x)))) 1)) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) |
Compiled 15581 to 6879 computations (55.9% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 796 | 9 | 805 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 802 | 12 | 814 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) | |
| ▶ | 0.8b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 30.5b | (/.f64 (sinh.f64 y) 1) |
| ✓ | 1.2b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ▶ | 0.9b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.2b | (/.f64 2 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) x) y))) | |
| 31.3b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) | |
| ▶ | 32.5b | (+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
| ▶ | 32.5b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 0.9b | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| ▶ | 1.3b | (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
| 31.3b | y |
Compiled 239 to 172 computations (28% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 y -1/6)) |
| 0.1b | (/.f64 (sin.f64 x) x) | |
| ✓ | 0.1b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 0.3b | (*.f64 y -1/6) |
Compiled 37 to 21 computations (43.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 0.0ms | y | @ | 0 | (*.f64 y -1/6) |
| 0.0ms | y | @ | inf | (*.f64 y -1/6) |
| 1× | batch-egg-rewrite |
| 898× | associate-/r/ |
| 716× | associate-/l/ |
| 672× | distribute-rgt-in |
| 642× | distribute-lft-in |
| 544× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 280 | 53 |
| 2 | 3851 | 53 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y -1/6) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(+.f64 (/.f64 1 y) (*.f64 y -1/6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 1/6 y (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 (neg.f64 y) -1/6 (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 (*.f64 y 1/6) 1 (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -1/6))) (sqrt.f64 (*.f64 y -1/6)) (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -1/6))) (cbrt.f64 (*.f64 (*.f64 y y) 1/36)) (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (/.f64 1 y)) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (*.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) x)) (pow.f64 y -2)) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) x)) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) x)) (*.f64 (*.f64 y 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/6 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 y (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -1/6) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (*.f64 y -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/6)) (sqrt.f64 (*.f64 y -1/6)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 y -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/36)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y)))))) |
| 1× | egg-herbie |
| 978× | associate-/r* |
| 878× | times-frac |
| 870× | associate-*r* |
| 674× | *-commutative |
| 626× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 8843 |
| 1 | 1474 | 8221 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(*.f64 -1/6 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(*.f64 -1/6 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1/6))) 1) |
(pow.f64 (*.f64 y -1/6) 1) |
(pow.f64 (sqrt.f64 (*.f64 y -1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y -1/6)) 3) |
(pow.f64 (*.f64 (pow.f64 y 3) -1/216) 1/3) |
(sqrt.f64 (*.f64 (*.f64 y y) 1/36)) |
(log.f64 (pow.f64 (exp.f64 y) -1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/6)))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 y -1/6))) |
(exp.f64 (log.f64 (*.f64 y -1/6))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y -1/6)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y -1/6))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 1/6 y (*.f64 y -1/6)))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 (neg.f64 y) -1/6 (*.f64 y -1/6)))) |
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(+.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -1/6))) (sqrt.f64 (*.f64 y -1/6)) (*.f64 y -1/6)))) |
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(*.f64 -1 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (neg.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (neg.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (/.f64 1 (-.f64 (/.f64 1 y) (*.f64 y -1/6))) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))))) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36))) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (-.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) (+.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (/.f64 (*.f64 y -1/6) y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) 3))) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) (-.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) (pow.f64 y -2))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2))) (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 1 (/.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) |
(/.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (-.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36))) (neg.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 (pow.f64 y 3) -1/216) (*.f64 (pow.f64 y 3) -1/216))) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (-.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/36) (pow.f64 y -2)) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y y) 1/36) (*.f64 (*.f64 y y) 1/36))) (*.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (*.f64 (pow.f64 y 3) -1/216) 3)) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (+.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 (pow.f64 y 3) -1/216) (-.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 y y) 1/36) 3)) (*.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))))) |
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 3) |
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3) 1/3) |
(neg.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 2)) |
(log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 y -1/6 (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 1 (*.f64 y -1/6) (/.f64 1 y)) |
(fma.f64 1 (/.f64 1 y) (*.f64 y -1/6)) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6)) |
(fma.f64 (sqrt.f64 (*.f64 y -1/6)) (sqrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 y -1/6)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/36)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
| Outputs |
|---|
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 -1/6 y (/.f64 1 y)))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.f64 (fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(+.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 y (/.f64 1 y))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 -1/6 y (/.f64 1 y))))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 y (/.f64 1 y))) (fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y)))))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/36 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/216 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/36 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/216 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(*.f64 -1/6 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(*.f64 -1/6 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 y y) 1/36) 3)) (*.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (*.f64 (pow.f64 (*.f64 y y) 3) 1/46656)) (-.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (pow.f64 y -4) (*.f64 (*.f64 1/36 (*.f64 y y)) (+.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 y -2) 3) (*.f64 (pow.f64 y 6) -1/46656)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (fma.f64 (*.f64 y (*.f64 y 1/36)) (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (pow.f64 y -4)))) |
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 3) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3) 1/3) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(neg.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 2)) |
(fabs.f64 (fma.f64 -1/6 y (/.f64 1 y))) |
(log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 y -1/6 (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 1 (*.f64 y -1/6) (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 1 (/.f64 1 y) (*.f64 y -1/6)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 (sqrt.f64 (*.f64 y -1/6)) (sqrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 y -1/6)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 -1/6 y)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/36)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (*.f64 1/36 (*.f64 y y))) (cbrt.f64 (*.f64 -1/6 y)) (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/36))) (cbrt.f64 (*.f64 -1/6 y)) (/.f64 1 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| ✓ | 0.3b | (*.f64 -1/6 y) |
| ✓ | 7.6b | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
Compiled 27 to 13 computations (51.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 954× | *-commutative |
| 824× | unswap-sqr |
| 586× | swap-sqr |
| 472× | distribute-lft-in |
| 464× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 1 | 194 | 47 |
| 2 | 2593 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 y) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (exp.f64 (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change 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| 1× | egg-herbie |
| 1670× | associate-/r* |
| 1410× | associate-*r/ |
| 1128× | associate-*l/ |
| 456× | associate-*r* |
| 438× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 313 | 7667 |
| 1 | 829 | 7261 |
| 2 | 3664 | 7261 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1) |
(pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
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(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) 1) (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/3) |
(neg.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 (*.f64 -1/6 y) (*.f64 x x) y) |
(fma.f64 (*.f64 x x) (*.f64 -1/6 y) y) |
(fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 (*.f64 -1/6 (*.f64 y x)) x y) |
| Outputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 1) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 3) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) |
(fabs.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fabs.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 x x)))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 y))) 1) |
(*.f64 -1/6 y) |
(pow.f64 (*.f64 -1/6 y) 1) |
(*.f64 -1/6 y) |
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2) |
(*.f64 -1/6 y) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3) |
(*.f64 -1/6 y) |
(pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3) |
(*.f64 -1/6 y) |
(sqrt.f64 (*.f64 1/36 (*.f64 y y))) |
(sqrt.f64 (*.f64 (*.f64 1/36 y) y)) |
(sqrt.f64 (pow.f64 (*.f64 -1/6 y) 2)) |
(sqrt.f64 (*.f64 y (*.f64 y 1/36))) |
(log.f64 (pow.f64 (exp.f64 -1/6) y)) |
(*.f64 -1/6 y) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 y)))) |
(*.f64 -1/6 y) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3)) |
(*.f64 -1/6 y) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 y))) |
(*.f64 -1/6 y) |
(exp.f64 (log.f64 (*.f64 -1/6 y))) |
(*.f64 -1/6 y) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 y))) |
(*.f64 -1/6 y) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) 1) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) (-.f64 1 y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 y)) (+.f64 1 (*.f64 1/6 (*.f64 (*.f64 y x) x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) (expm1.f64 (log1p.f64 y))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(-.f64 (/.f64 y (/.f64 (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6)))) y)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6)))))) |
(-.f64 (/.f64 y (/.f64 (fma.f64 x (*.f64 x (*.f64 y 1/6)) y) y)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (fma.f64 x (*.f64 x (*.f64 y 1/6)) y))) |
(-.f64 (/.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y x) 1/6) y) y)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (fma.f64 x (*.f64 (*.f64 y x) 1/6) y))) |
(-.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) 1) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (exp.f64 (log1p.f64 y))) 1) |
(-.f64 (exp.f64 (log1p.f64 y)) (+.f64 1 (*.f64 1/6 (*.f64 (*.f64 y x) x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) (expm1.f64 (log1p.f64 y))) |
(*.f64 y (+.f64 1 (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 1 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
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(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(neg.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))) |
(*.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (/.f64 1 (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 y 1/6)) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (*.f64 (*.f64 y x) 1/6) y)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y))))) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y) 2)) |
(fabs.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))) |
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 -1/6 y) (*.f64 x x) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 x x) (*.f64 -1/6 y) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 (*.f64 y x) x))) y) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 -1/6 (*.f64 y x)) x y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 0.3b | (*.f64 y -1/6) | |
| ✓ | 0.4b | (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
| ✓ | 7.3b | (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
Compiled 78 to 51 computations (34.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | x | @ | inf | (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1× | batch-egg-rewrite |
| 1378× | associate-/l* |
| 860× | associate-/r/ |
| 730× | distribute-rgt-in |
| 686× | distribute-lft-in |
| 432× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 93 |
| 1 | 281 | 81 |
| 2 | 3805 | 81 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| Outputs |
|---|
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y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))))))) |
| 1× | egg-herbie |
| 1016× | associate-*r* |
| 992× | *-commutative |
| 984× | fma-def |
| 944× | associate-*l* |
| 820× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 651 | 15480 |
| 1 | 2128 | 13924 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(*.f64 y (pow.f64 x 2)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 y (pow.f64 x 2))) |
(+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 5) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 5) (pow.f64 x 2))) (+.f64 (*.f64 1/216 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 y (pow.f64 x 2))))) |
(*.f64 -6 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5))))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1296 (/.f64 (pow.f64 x 2) (pow.f64 y 7))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5)))))) |
(*.f64 -6 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5))))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1296 (/.f64 (pow.f64 x 2) (pow.f64 y 7))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5)))))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1/216 (*.f64 (pow.f64 y 5) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 -1/1296 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) (+.f64 (*.f64 -1/216 (*.f64 (pow.f64 y 5) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 6 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 6 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 36 (/.f64 (pow.f64 x 2) (pow.f64 y 5))) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 216 (/.f64 (pow.f64 x 2) (pow.f64 y 7))) (+.f64 (*.f64 6 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 36 (/.f64 (pow.f64 x 2) (pow.f64 y 5))) (/.f64 (pow.f64 x 2) y)))) |
(/.f64 (pow.f64 x 2) y) |
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y |
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(/.f64 -6 y) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))))) 1) |
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(*.f64 (/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) 1) |
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(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) (pow.f64 y -2)) (*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) (-.f64 (*.f64 1/36 (*.f64 y y)) (/.f64 y (/.f64 y -1/6))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) (-.f64 (*.f64 1/36 (*.f64 y y)) (/.f64 y (/.f64 y -1/6)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) (pow.f64 y -2))) |
(+.f64 (*.f64 (/.f64 1 y) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (*.f64 -1 (*.f64 y -1/6)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (/.f64 1 y) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (neg.f64 (*.f64 y -1/6)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (/.f64 1 y) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (*.f64 (neg.f64 y) -1/6) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (/.f64 1 y) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (*.f64 1/6 y) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (/.f64 1 y) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 y -1/6))) (sqrt.f64 (*.f64 y -1/6))) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (/.f64 1 y) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/36 (*.f64 y y)))) (cbrt.f64 (*.f64 y -1/6))) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (fma.f64 (neg.f64 (*.f64 y -1/6)) 1 (*.f64 y -1/6)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (fma.f64 1/6 y (*.f64 y -1/6)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (fma.f64 (neg.f64 y) -1/6 (*.f64 y -1/6)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y -1/6))) (sqrt.f64 (*.f64 y -1/6)) (*.f64 y -1/6)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y -1/6))) (cbrt.f64 (*.f64 1/36 (*.f64 y y))) (*.f64 y -1/6)) (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(+.f64 (*.f64 (pow.f64 y -2) (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (*.f64 (-.f64 (*.f64 1/36 (*.f64 y y)) (/.f64 y (/.f64 y -1/6))) (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/36 (*.f64 y y)) (/.f64 y (/.f64 y -1/6))) (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (*.f64 (pow.f64 y -2) (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 1) |
(*.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6))))) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1) (pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (neg.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))) (-.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 -1/216 (pow.f64 y 3)) (*.f64 -1/216 (pow.f64 y 3))))) (-.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))) (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (*.f64 -1/216 (pow.f64 y 3)) 3))) (+.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (-.f64 (*.f64 (*.f64 -1/216 (pow.f64 y 3)) (*.f64 -1/216 (pow.f64 y 3))) (*.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 1/36 (*.f64 y y)) (*.f64 1/36 (*.f64 y y))))) (+.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2))) |
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 1/36 (*.f64 y y)) 3))) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (+.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (*.f64 1/36 (*.f64 y y))) (*.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2))) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (sqrt.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (sqrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (cbrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1) |
(pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 1) |
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3)) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 x (/.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 x y)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 y (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 y (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 5) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 y (pow.f64 x 2)))) |
(fma.f64 1/36 (*.f64 (pow.f64 y 5) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 y (*.f64 x x)))) |
(fma.f64 1/36 (*.f64 (pow.f64 y 5) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 1/6 (pow.f64 y 3) y))) |
(+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 5) (pow.f64 x 2))) (+.f64 (*.f64 1/216 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/36 (*.f64 (pow.f64 y 5) (*.f64 x x)) (fma.f64 1/216 (*.f64 (pow.f64 y 7) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 y (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1/6 (pow.f64 y 3) y)) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/36 (pow.f64 y 5)) (*.f64 1/216 (pow.f64 y 7))))) |
(*.f64 -6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -6 (/.f64 (*.f64 x x) y)) |
(*.f64 -6 (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) |
(fma.f64 -6 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -36 (*.f64 x x)) (pow.f64 y 3))) |
(fma.f64 -6 (*.f64 x (/.f64 x y)) (/.f64 -36 (/.f64 (pow.f64 y 3) (*.f64 x x)))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5))))) |
(fma.f64 -6 (/.f64 (*.f64 x x) y) (fma.f64 -36 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5))))) |
(fma.f64 -6 (*.f64 x (/.f64 x y)) (fma.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5)) (/.f64 -36 (/.f64 (pow.f64 y 3) (*.f64 x x))))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1296 (/.f64 (pow.f64 x 2) (pow.f64 y 7))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5)))))) |
(fma.f64 -6 (/.f64 (*.f64 x x) y) (fma.f64 -36 (/.f64 (*.f64 x x) (pow.f64 y 3)) (fma.f64 -1296 (/.f64 (*.f64 x x) (pow.f64 y 7)) (*.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5)))))) |
(fma.f64 -6 (*.f64 x (/.f64 x y)) (fma.f64 -36 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5)) (/.f64 -1296 (/.f64 (pow.f64 y 7) (*.f64 x x)))))) |
(*.f64 -6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -6 (/.f64 (*.f64 x x) y)) |
(*.f64 -6 (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) |
(fma.f64 -6 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 -36 (*.f64 x x)) (pow.f64 y 3))) |
(fma.f64 -6 (*.f64 x (/.f64 x y)) (/.f64 -36 (/.f64 (pow.f64 y 3) (*.f64 x x)))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5))))) |
(fma.f64 -6 (/.f64 (*.f64 x x) y) (fma.f64 -36 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5))))) |
(fma.f64 -6 (*.f64 x (/.f64 x y)) (fma.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5)) (/.f64 -36 (/.f64 (pow.f64 y 3) (*.f64 x x))))) |
(+.f64 (*.f64 -6 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -36 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1296 (/.f64 (pow.f64 x 2) (pow.f64 y 7))) (*.f64 -216 (/.f64 (pow.f64 x 2) (pow.f64 y 5)))))) |
(fma.f64 -6 (/.f64 (*.f64 x x) y) (fma.f64 -36 (/.f64 (*.f64 x x) (pow.f64 y 3)) (fma.f64 -1296 (/.f64 (*.f64 x x) (pow.f64 y 7)) (*.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5)))))) |
(fma.f64 -6 (*.f64 x (/.f64 x y)) (fma.f64 -36 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -216 (/.f64 (*.f64 x x) (pow.f64 y 5)) (/.f64 -1296 (/.f64 (pow.f64 y 7) (*.f64 x x)))))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y)))) |
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y |
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(*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (+.f64 (pow.f64 y -2) (-.f64 (*.f64 (*.f64 1/36 y) y) (*.f64 (/.f64 y y) -1/6)))) |
(/.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)) (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))) (-.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 -1/216 (pow.f64 y 3)) (*.f64 -1/216 (pow.f64 y 3))))) (-.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) |
(*.f64 (/.f64 (fma.f64 1/36 (*.f64 y y) (-.f64 (pow.f64 y -2) (*.f64 (/.f64 y y) -1/6))) (-.f64 (pow.f64 y -6) (*.f64 1/46656 (*.f64 (pow.f64 y 3) (pow.f64 y 3))))) (+.f64 (pow.f64 y -3) (*.f64 1/216 (pow.f64 y 3)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)) (+.f64 (pow.f64 y -6) (*.f64 -1/46656 (pow.f64 y 6)))) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) 1/216))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))) (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (*.f64 -1/216 (pow.f64 y 3)) 3))) (+.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (-.f64 (*.f64 (*.f64 -1/216 (pow.f64 y 3)) (*.f64 -1/216 (pow.f64 y 3))) (*.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))))) |
(*.f64 (/.f64 (fma.f64 1/36 (*.f64 y y) (-.f64 (pow.f64 y -2) (*.f64 (/.f64 y y) -1/6))) (+.f64 (pow.f64 (pow.f64 y -3) 3) (*.f64 -1/10077696 (pow.f64 (pow.f64 y 3) 3)))) (+.f64 (pow.f64 y -6) (*.f64 (*.f64 (pow.f64 y 3) -1/216) (-.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)) (fma.f64 -1/10077696 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 y -3) 3))) (+.f64 (pow.f64 y -6) (fma.f64 1/46656 (pow.f64 y 6) (*.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) 1/216))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 1/36 (*.f64 y y)) (*.f64 1/36 (*.f64 y y))))) (+.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2))) |
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (-.f64 (pow.f64 y -4) (*.f64 1/1296 (*.f64 (*.f64 y y) (*.f64 y y))))) (fma.f64 1/36 (*.f64 y y) (pow.f64 y -2))) |
(*.f64 (/.f64 (fma.f64 y 1/6 (/.f64 1 y)) (+.f64 (pow.f64 y -4) (*.f64 -1/1296 (*.f64 y (pow.f64 y 3))))) (fma.f64 1/36 (*.f64 y y) (pow.f64 y -2))) |
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 1/36 (*.f64 y y)) 3))) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (+.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (*.f64 1/36 (*.f64 y y))) (*.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 1/36 y) y) 3))) (+.f64 (pow.f64 y -4) (*.f64 (*.f64 (*.f64 1/36 y) y) (fma.f64 1/36 (*.f64 y y) (pow.f64 y -2))))) |
(*.f64 (/.f64 (fma.f64 y 1/6 (/.f64 1 y)) (+.f64 (pow.f64 (pow.f64 y -2) 3) (*.f64 -1/46656 (pow.f64 y 6)))) (fma.f64 (*.f64 y (*.f64 y 1/36)) (fma.f64 1/36 (*.f64 y y) (pow.f64 y -2)) (pow.f64 y -4))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2))) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) |
(/.f64 (*.f64 1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (+.f64 (pow.f64 y -2) (*.f64 -1/36 (*.f64 y y)))) |
(/.f64 (fma.f64 y -1/6 (/.f64 -1 y)) (fma.f64 1/36 (*.f64 y y) (neg.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (sqrt.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))))) |
(*.f64 (sqrt.f64 (fma.f64 1/36 (*.f64 y y) (-.f64 (pow.f64 y -2) (*.f64 (/.f64 y y) -1/6)))) (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6))) (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (sqrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 -1/36 (*.f64 y y)))))) |
(*.f64 (sqrt.f64 (fma.f64 y 1/6 (/.f64 1 y))) (/.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 -1/36 y) y))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(/.f64 (*.f64 1 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (+.f64 (pow.f64 y -2) (*.f64 -1/36 (*.f64 y y)))) |
(/.f64 (fma.f64 y -1/6 (/.f64 -1 y)) (fma.f64 1/36 (*.f64 y y) (neg.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (+.f64 (pow.f64 y -2) (-.f64 (*.f64 (*.f64 1/36 y) y) (*.f64 (/.f64 y y) -1/6)))) |
(/.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)) (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))))) (cbrt.f64 (+.f64 (*.f64 1/36 (*.f64 y y)) (-.f64 (pow.f64 y -2) (/.f64 y (/.f64 y -1/6)))))) |
(*.f64 (cbrt.f64 (fma.f64 1/36 (*.f64 y y) (-.f64 (pow.f64 y -2) (*.f64 (/.f64 y y) -1/6)))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -2) (cbrt.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)))) (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y))))) (cbrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 -1/36 (*.f64 y y)))) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)))) |
(*.f64 (cbrt.f64 (fma.f64 y 1/6 (/.f64 1 y))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) -2) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 -1/36 y) y))))) |
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) 1) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -1/2) 2) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 3) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))) |
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) -1)) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1)) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | y | @ | -inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1792× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 169 | 17 |
| 2 | 2361 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 1400× | associate-*r/ |
| 950× | associate-*l/ |
| 804× | associate-/l* |
| 788× | associate-+l- |
| 714× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 1368 |
| 1 | 343 | 1332 |
| 2 | 1323 | 1332 |
| 3 | 6393 | 1332 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y) |
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
| ✓ | 0.5b | (/.f64 1 (/.f64 (neg.f64 x) y)) |
Compiled 32 to 12 computations (62.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (/.f64 1 (/.f64 (neg.f64 x) y)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (/.f64 (neg.f64 x) y)) |
| 1.0ms | y | @ | 0 | (/.f64 1 (/.f64 (neg.f64 x) y)) |
| 0.0ms | y | @ | inf | (/.f64 1 (/.f64 (neg.f64 x) y)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (/.f64 (neg.f64 x) y)) |
| 1× | batch-egg-rewrite |
| 1406× | associate-/l* |
| 1310× | associate-*r/ |
| 1018× | *-commutative |
| 912× | associate-*l/ |
| 584× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 251 | 24 |
| 2 | 3457 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
| Outputs |
|---|
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(-.f64 0 (pow.f64 (sin.f64 x) 3)) (/.f64 y x)) (+.f64 (pow.f64 (sin.f64 x) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 y x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) (neg.f64 (/.f64 y x))) (+.f64 (pow.f64 (sin.f64 x) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 y (sin.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (sin.f64 x))) x)))) (#(struct:change #<rule 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((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 1592× | distribute-lft-in |
| 1582× | distribute-rgt-in |
| 788× | associate-/l* |
| 584× | associate-*r* |
| 508× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 5184 |
| 1 | 1193 | 5002 |
| 2 | 5177 | 5002 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (/.f64 y x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) 1) |
(*.f64 1 (/.f64 y x)) |
(*.f64 1 (neg.f64 (/.f64 y x))) |
(*.f64 y (/.f64 1 x)) |
(*.f64 (/.f64 y x) 1) |
(*.f64 (/.f64 y x) -1) |
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x))) |
(*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) |
(*.f64 (/.f64 1 x) y) |
(*.f64 (/.f64 1 x) (neg.f64 y)) |
(*.f64 (/.f64 1 x) (neg.f64 (neg.f64 y))) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 y) -1)) |
(*.f64 -1 (/.f64 y x)) |
(*.f64 -1 (neg.f64 (/.f64 y x))) |
(*.f64 (neg.f64 y) (/.f64 1 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 y) -1) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) -1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) -1) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) -1)) |
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 y x))) |
(*.f64 (pow.f64 (/.f64 1 y) -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) -1) (pow.f64 (sqrt.f64 (/.f64 x y)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x y)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) -1)) |
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 y (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 y (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) y) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (/.f64 (/.f64 y -1) (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 y -1) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 x)) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 x)) (cbrt.f64 (neg.f64 y))) |
(pow.f64 (/.f64 x y) -1) |
(pow.f64 (/.f64 y x) 1) |
(pow.f64 (sqrt.f64 (/.f64 y x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 y x)) 3) |
(pow.f64 (pow.f64 (/.f64 y x) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 y x) 2)) |
(log.f64 (exp.f64 (/.f64 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (/.f64 y x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 y x))) |
(exp.f64 (log.f64 (/.f64 y x))) |
(exp.f64 (-.f64 (log.f64 y) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 y x))) |
(+.f64 0 (*.f64 y (/.f64 (sin.f64 x) x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) 1) |
(+.f64 (-.f64 0 (*.f64 0 (/.f64 y x))) (*.f64 y (/.f64 (sin.f64 x) x))) |
(+.f64 (-.f64 (*.f64 0 (/.f64 y x)) 0) (*.f64 y (/.f64 (sin.f64 x) x))) |
(+.f64 (-.f64 (*.f64 0 (/.f64 y x)) (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) 1) |
(+.f64 (-.f64 (*.f64 0 (/.f64 y x)) (*.f64 0 (/.f64 y x))) (*.f64 y (/.f64 (sin.f64 x) x))) |
(+.f64 (*.f64 (/.f64 y x) 0) (*.f64 y (/.f64 (sin.f64 x) x))) |
(-.f64 0 (*.f64 y (/.f64 (sin.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(-.f64 (*.f64 0 (/.f64 y x)) (*.f64 y (/.f64 (sin.f64 x) x))) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 1 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 1 (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x y) (neg.f64 (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x y) (neg.f64 (cbrt.f64 (sin.f64 x))))) |
(/.f64 -1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 (sqrt.f64 -1) (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) -1) (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) (*.f64 (/.f64 x y) (+.f64 (pow.f64 (sin.f64 x) 2) 0))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 1 y)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 y x) (-.f64 0 (pow.f64 (sin.f64 x) 2))) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) (-.f64 0 (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) 0)) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y -1)) x) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 1 y)) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) 1) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) -1) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sin.f64 x)) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 1 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x))) 1) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) -1) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sqrt.f64 (sin.f64 x))) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) (/.f64 1 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (cbrt.f64 (sin.f64 x))) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) (/.f64 1 y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (*.f64 -1 (sqrt.f64 (/.f64 y x))) (sin.f64 x)) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sin.f64 x)) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (sqrt.f64 y) (sin.f64 x)) (/.f64 x (sqrt.f64 y))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 x)) (/.f64 x (cbrt.f64 y))) |
(/.f64 (*.f64 (neg.f64 y) (sin.f64 x)) x) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (sin.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 y -1) (sin.f64 x)) x) |
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (/.f64 y x)) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) (/.f64 y x)) (+.f64 (pow.f64 (sin.f64 x) 2) 0)) |
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 y x))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) (neg.f64 (/.f64 y x))) (+.f64 (pow.f64 (sin.f64 x) 2) 0)) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 1 (*.f64 y (sin.f64 x))) x) |
(/.f64 (*.f64 -1 (*.f64 y (sin.f64 x))) x) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y (sin.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 y (sin.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) x) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) x) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(neg.f64 (*.f64 y (/.f64 (sin.f64 x) x))) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 -1 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 (*.f64 y -1/6) (*.f64 x x) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 (*.f64 y -1/6) (*.f64 x x) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 (*.f64 y -1/6) (*.f64 x x) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) 1) |
(/.f64 y x) |
(*.f64 1 (/.f64 y x)) |
(/.f64 y x) |
(*.f64 1 (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 y (/.f64 1 x)) |
(/.f64 y x) |
(*.f64 (/.f64 y x) 1) |
(/.f64 y x) |
(*.f64 (/.f64 y x) -1) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))) |
(/.f64 y x) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)) |
(/.f64 y x) |
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(/.f64 y x) |
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sin.f64 x) (sqrt.f64 -1))) (sqrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 x y))) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x)))) |
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (/.f64 x y))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) |
(/.f64 (*.f64 1 (*.f64 y (sin.f64 x))) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 -1 (*.f64 y (sin.f64 x))) x) |
(*.f64 (neg.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x)) |
(*.f64 y (/.f64 (neg.f64 (sin.f64 x)) x)) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y (sin.f64 x))) (sqrt.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 y (sin.f64 x))) (cbrt.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (sin.f64 x)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 y x))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(neg.f64 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x)) |
(*.f64 y (/.f64 (neg.f64 (sin.f64 x)) x)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(fabs.f64 (*.f64 y (/.f64 (sin.f64 x) x))) |
(fabs.f64 (*.f64 (/.f64 y x) (sin.f64 x))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
Compiled 34548 to 20504 computations (40.7% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1372 | 3 | 1375 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 1374 | 13 | 1387 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) | |
| ✓ | 0.8b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ▶ | 32.5b | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 30.5b | (/.f64 (sinh.f64 y) 1) |
| ✓ | 1.2b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ✓ | 0.9b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 16.9b | (/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
| ▶ | 31.3b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 32.5b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| ▶ | 32.5b | (+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
| ▶ | 0.9b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ✓ | 1.3b | (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
| 31.3b | y |
Compiled 196 to 139 computations (29.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 1× | batch-egg-rewrite |
| 1740× | add-sqr-sqrt |
| 1728× | *-un-lft-identity |
| 1602× | add-cube-cbrt |
| 1576× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 163 | 17 |
| 2 | 2120 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) |
| 1× | egg-herbie |
| 1330× | associate-*r* |
| 1224× | associate-*l* |
| 748× | associate-+r+ |
| 680× | associate-+l+ |
| 456× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 867 |
| 1 | 190 | 855 |
| 2 | 692 | 855 |
| 3 | 5005 | 855 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
| ✓ | 0.4b | (*.f64 -1/6 (*.f64 x x)) |
| ✓ | 7.3b | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
Compiled 29 to 13 computations (55.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (*.f64 -1/6 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 -1/6 (*.f64 x x)) |
| 0.0ms | y | @ | 0 | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 946× | *-commutative |
| 772× | unswap-sqr |
| 584× | swap-sqr |
| 452× | distribute-lft-in |
| 444× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 57 |
| 1 | 194 | 53 |
| 2 | 2566 | 53 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 x x)) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 x (*.f64 x (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (/.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))) y)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 4) (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))) (exp.f64 (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) (sqrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 y) (*.f64 (*.f64 -1/6 (*.f64 x x)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) 2) (cbrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (+.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 -1/6 (*.f64 x x)) (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (+.f64 (cbrt.f64 y) (*.f64 (*.f64 -1/6 (*.f64 x x)) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) (cbrt.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (/.f64 1 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6)))) (*.f64 (*.f64 y y) (-.f64 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| 1× | egg-herbie |
| 1492× | associate-*r/ |
| 1146× | associate-*l/ |
| 866× | associate-/l/ |
| 660× | associate-/r/ |
| 488× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 7812 |
| 1 | 956 | 7314 |
| 2 | 4313 | 7314 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
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(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) 2)) (cbrt.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y 4) (*.f64 (pow.f64 y 4) (*.f64 1/1296 (pow.f64 x 8)))) (/.f64 1 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))))) (*.f64 (*.f64 y y) (+.f64 1 (*.f64 (pow.f64 x 4) 1/36)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 4) 3)) (/.f64 1 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))))) (+.f64 (+.f64 (pow.f64 y 4) (*.f64 (pow.f64 y 4) (*.f64 1/1296 (pow.f64 x 8)))) (*.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) 1/36)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y 6) (pow.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))) 6)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x))))))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x))))))) (+.f64 (pow.f64 y 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6) (pow.f64 y 3))))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) y) (+.f64 1 (*.f64 (*.f64 x x) 1/6))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) 1) (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6)))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (sqrt.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))))) (sqrt.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (*.f64 (cbrt.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6)))) (cbrt.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6)))))) (cbrt.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 y -1/6))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6)) 1) (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6)) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x))))))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6)) (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x)))))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x)))))))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x))))))) |
(pow.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) 3) |
(pow.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (*.f64 y (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y y) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 -1/6 (*.f64 x x)))))))) |
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 2)) |
(log.f64 (exp.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)))) |
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(exp.f64 (log.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(fma.f64 (*.f64 -1/6 (*.f64 x x)) y y) |
(fma.f64 1 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(fma.f64 1 (*.f64 x (*.f64 x (*.f64 y -1/6))) y) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) (*.f64 x (sqrt.f64 (*.f64 y -1/6))) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(fma.f64 (*.f64 y -1/6) (*.f64 x x) y) |
| Outputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (*.f64 x x)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))) 1) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))) 1) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 2) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))) 3) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 4)) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 6)) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x)))) 1) |
(*.f64 -1/6 (*.f64 x x)) |
(pow.f64 (*.f64 -1/6 (*.f64 x x)) 1) |
(*.f64 -1/6 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3) |
(*.f64 -1/6 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x x)) 3) 1/3) |
(*.f64 -1/6 (*.f64 x x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/6)) |
(*.f64 -1/6 (log.f64 (pow.f64 (exp.f64 x) x))) |
(*.f64 -1/6 (*.f64 x (log.f64 (exp.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 x x))))) |
(*.f64 -1/6 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x x)) 3)) |
(*.f64 -1/6 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 -1/6 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 -1/6 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 -1/6 (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) 1) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))))) (-.f64 1 y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 x (*.f64 x (*.f64 y -1/6))))) |
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 x (*.f64 (*.f64 x y) -1/6)))) |
(fma.f64 x (*.f64 y (*.f64 -1/6 x)) (expm1.f64 (log1p.f64 y))) |
(-.f64 (/.f64 y (/.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))) y)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 4) (+.f64 y (*.f64 y (*.f64 (*.f64 x x) 1/6))))) |
(-.f64 (*.f64 (/.f64 y (+.f64 y (*.f64 y (*.f64 x (*.f64 x 1/6))))) y) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 y (*.f64 x (*.f64 x 1/6)))))) |
(-.f64 (/.f64 y (/.f64 (*.f64 y (fma.f64 x (*.f64 x 1/6) 1)) y)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y (fma.f64 x (*.f64 x 1/6) 1)))) |
(-.f64 (*.f64 y (/.f64 y (*.f64 y (fma.f64 1/6 (*.f64 x x) 1)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y (fma.f64 1/6 (*.f64 x x) 1)))) |
(-.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))))) 1) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 y -1/6))) (exp.f64 (log1p.f64 y))) 1) |
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 x (*.f64 (*.f64 x y) -1/6)))) |
(fma.f64 x (*.f64 y (*.f64 -1/6 x)) (expm1.f64 (log1p.f64 y))) |
(*.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 1) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 1 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) (sqrt.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 y) (*.f64 (*.f64 -1/6 (*.f64 x x)) (sqrt.f64 y)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (*.f64 y (+.f64 y (*.f64 y (fma.f64 (pow.f64 x 4) 1/36 (*.f64 x (*.f64 x 1/6))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (*.f64 y (+.f64 y (*.f64 y (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x))))))) |
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 2)) |
(fabs.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))) |
(log.f64 (exp.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) 3)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(exp.f64 (log.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 -1/6 (*.f64 x x)) y y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 1 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 1 (*.f64 x (*.f64 x (*.f64 y -1/6))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) (*.f64 x (sqrt.f64 (*.f64 y -1/6))) y) |
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) y) |
(+.f64 y (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/6))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 y -1/6)))) y) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 x (*.f64 (*.f64 x y) -1/6))) y) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 y -1/6) (*.f64 x x) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1 y) (*.f64 y -1/6)) | |
| 0.1b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) | |
| 0.3b | (*.f64 y -1/6) |
Compiled 27 to 20 computations (25.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1 y) (*.f64 y -1/6)) | |
| 0.3b | (*.f64 y -1/6) | |
| 0.4b | (*.f64 -1/6 (*.f64 x x)) | |
| ✓ | 7.3b | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
Compiled 49 to 30 computations (38.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1× | batch-egg-rewrite |
| 1288× | associate-/r* |
| 1002× | distribute-lft-in |
| 922× | associate-/l* |
| 630× | associate-/r/ |
| 454× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 286 | 35 |
| 2 | 3914 | 35 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| Outputs |
|---|
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-1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))))))) |
| 1× | egg-herbie |
| 1414× | associate-/l* |
| 1244× | associate-*r/ |
| 1084× | associate-*l/ |
| 634× | associate-/r* |
| 412× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 6695 |
| 1 | 875 | 5517 |
| 2 | 3308 | 5343 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/36 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))) |
(+.f64 (*.f64 1/216 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/36 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)))) |
(*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) |
(+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))))) |
(+.f64 (*.f64 -216 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (+.f64 (*.f64 -1296 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3)))))) |
(*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) |
(+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))))) |
(+.f64 (*.f64 -216 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (+.f64 (*.f64 -1296 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3)))))) |
(+.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (fma.f64 (neg.f64 (*.f64 -1/6 y)) 1 (*.f64 -1/6 y)))) |
(+.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (fma.f64 (neg.f64 y) -1/6 (*.f64 -1/6 y)))) |
(+.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (fma.f64 1/6 y (*.f64 -1/6 y)))) |
(+.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 (*.f64 -1/6 y)) (*.f64 -1/6 y)))) |
(+.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/6 y))) (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2) (*.f64 -1/6 y)))) |
(+.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 -1/6 (*.f64 x x))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (/.f64 1 y)) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (*.f64 -1 (*.f64 -1/6 y)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (/.f64 1 y)) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (neg.f64 (*.f64 -1/6 y)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (/.f64 1 y)) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (*.f64 1/6 y))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (/.f64 1 y)) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (*.f64 (neg.f64 y) -1/6))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (/.f64 1 y)) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 (*.f64 -1/6 y))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (/.f64 1 y)) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2)) (cbrt.f64 (*.f64 -1/6 y))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (pow.f64 y -2)) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (-.f64 (*.f64 (*.f64 y y) 1/36) (/.f64 -1/6 (/.f64 y y))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (-.f64 (*.f64 (*.f64 y y) 1/36) (/.f64 -1/6 (/.f64 y y)))) (*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (pow.f64 y -2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) 1) |
(*.f64 1 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) |
(*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 1) |
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) (sqrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (-.f64 -1 (*.f64 -1/6 (*.f64 x x))) (/.f64 -1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36))) (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y)))))) |
(*.f64 (/.f64 -1 (fma.f64 -1/6 y (/.f64 1 y))) (-.f64 -1 (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) (fma.f64 -1/6 y (/.f64 1 y)))) |
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) (fma.f64 -1/6 y (/.f64 1 y))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6)))) |
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))) (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) (fma.f64 -1/6 y (/.f64 1 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) (/.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2) (fma.f64 -1/6 y (/.f64 1 y))) (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) (neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y)))))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 -1/6 y (/.f64 1 y)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1)) 2))) (cbrt.f64 (fma.f64 -1/6 (*.f64 x x) 1))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (-.f64 (*.f64 (*.f64 y y) 1/36) (pow.f64 y -2))) (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) |
(*.f64 (/.f64 (-.f64 -1 (*.f64 -1/6 (*.f64 x x))) (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(*.f64 (/.f64 (-.f64 -1 (*.f64 -1/6 (*.f64 x x))) (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (-.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) 1/36)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (-.f64 1 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))) (-.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (+.f64 1 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) (sqrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) (cbrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y)))))) |
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 -1/6 y (/.f64 1 y)) (fma.f64 -1/6 (*.f64 x x) 1)) -1) |
(neg.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (neg.f64 (fma.f64 -1/6 y (/.f64 1 y))))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3) (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(*.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x))) |
(*.f64 -1/6 (*.f64 (/.f64 x (fma.f64 y -1/6 (/.f64 1 y))) x)) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(*.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x))) |
(*.f64 -1/6 (*.f64 (/.f64 x (fma.f64 y -1/6 (/.f64 1 y))) x)) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 (*.f64 x x) 1)) (*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))) |
(fma.f64 y (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (pow.f64 y 3) 1/6))) |
(*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/36 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 (*.f64 x x) 1)) (fma.f64 1/36 (*.f64 (pow.f64 y 5) (fma.f64 -1/6 (*.f64 x x) 1)) (*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)))) |
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 (*.f64 x x) 1)) (fma.f64 y (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/36 (*.f64 (pow.f64 y 5) (fma.f64 -1/6 (*.f64 x x) 1))))) |
(fma.f64 (*.f64 1/6 (fma.f64 -1/6 (*.f64 x x) 1)) (pow.f64 y 3) (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 y (*.f64 (pow.f64 y 5) 1/36)))) |
(+.f64 (*.f64 1/216 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/36 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)))) |
(fma.f64 1/216 (*.f64 (pow.f64 y 7) (fma.f64 -1/6 (*.f64 x x) 1)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 (*.f64 x x) 1)) (fma.f64 1/36 (*.f64 (pow.f64 y 5) (fma.f64 -1/6 (*.f64 x x) 1)) (*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))))) |
(fma.f64 1/216 (*.f64 (pow.f64 y 7) (fma.f64 -1/6 (*.f64 x x) 1)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 (*.f64 x x) 1)) (fma.f64 y (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/36 (*.f64 (pow.f64 y 5) (fma.f64 -1/6 (*.f64 x x) 1)))))) |
(+.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 y (*.f64 (pow.f64 y 5) 1/36))) (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (+.f64 (*.f64 (pow.f64 y 3) 1/6) (*.f64 (pow.f64 y 7) 1/216)))) |
(*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) |
(*.f64 -6 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) |
(+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3)))) |
(fma.f64 -6 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) (*.f64 -36 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 y 3)))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) (+.f64 -6 (/.f64 -36 (*.f64 y y)))) |
(+.f64 (*.f64 -216 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -6 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y)) (*.f64 -36 (/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))))) |
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(/.f64 (*.f64 (*.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) (-.f64 1 (*.f64 1/36 (pow.f64 x 4)))) (fma.f64 -1/6 (*.f64 x x) 1)) (-.f64 1 (*.f64 1/36 (pow.f64 x 4)))) |
(*.f64 (fma.f64 -1/6 (*.f64 x x) 1) (/.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (fma.f64 y -1/6 (/.f64 1 y))) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)))) |
(/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (-.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) 1/36)))) |
(/.f64 (*.f64 (*.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) (-.f64 1 (*.f64 1/36 (pow.f64 x 4)))) (+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))))) (-.f64 1 (*.f64 -1/216 (pow.f64 (*.f64 x x) 3)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (*.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 6))) (fma.f64 y -1/6 (/.f64 1 y)))) (+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)) (*.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 6))) (fma.f64 y -1/6 (/.f64 1 y)))) (+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/36 (pow.f64 x 4)))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (-.f64 1 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))) (-.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 (*.f64 x x) 3))) (/.f64 (-.f64 1 (*.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x))) (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x))))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))))) (-.f64 1 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/216 (pow.f64 x 6) 1) (fma.f64 y -1/6 (/.f64 1 y))) (-.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4)))))) (-.f64 1 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/216 (pow.f64 x 6) 1) (fma.f64 y -1/6 (/.f64 1 y))) (-.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4)))))) (+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) -1/36))) |
(*.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (+.f64 1 (pow.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 (*.f64 x x) 3))) (/.f64 (+.f64 1 (pow.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x))) 3)) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x))) (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x)))) (fma.f64 (pow.f64 x 4) 1/36 (*.f64 1/6 (*.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/216 (pow.f64 x 6) 1) (fma.f64 y -1/6 (/.f64 1 y))) (+.f64 1 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) 3))) (-.f64 (fma.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) -1/36)) (-.f64 (*.f64 x (*.f64 x 1/6)) 1))) |
(*.f64 (/.f64 (fma.f64 -1/216 (pow.f64 x 6) 1) (*.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) 3)) (fma.f64 y -1/6 (/.f64 1 y)))) (+.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) (+.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 1/36 (pow.f64 x 4))) -1)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) (sqrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 y (*.f64 y 1/36)))) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) (sqrt.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 y (*.f64 y 1/36)))))) (sqrt.f64 (fma.f64 y 1/6 (/.f64 1 y)))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36)))))) (sqrt.f64 (fma.f64 y 1/6 (/.f64 1 y)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y)))))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) (sqrt.f64 (fma.f64 (*.f64 y y) 1/36 (+.f64 (pow.f64 y -2) 1/6)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (sqrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)))) (sqrt.f64 (+.f64 (pow.f64 y -2) (fma.f64 y (*.f64 y 1/36) 1/6)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) (cbrt.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 y (*.f64 y 1/36))))) (cbrt.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) |
(/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 y (*.f64 y 1/36)))) (cbrt.f64 (fma.f64 y 1/6 (/.f64 1 y))))) |
(/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 y 1/6 (/.f64 1 y))))) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (pow.f64 y -2) (/.f64 -1/6 (/.f64 y y)))))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2))) (cbrt.f64 (fma.f64 (*.f64 y y) 1/36 (+.f64 (pow.f64 y -2) 1/6)))) |
(*.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))))) (cbrt.f64 (+.f64 (pow.f64 y -2) (fma.f64 y (*.f64 y 1/36) 1/6)))) |
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 1) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 2) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 3) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 3) 1/3) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(pow.f64 (/.f64 (fma.f64 -1/6 y (/.f64 1 y)) (fma.f64 -1/6 (*.f64 x x) 1)) -1) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(neg.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (neg.f64 (fma.f64 -1/6 y (/.f64 1 y))))) |
(/.f64 (neg.f64 (fma.f64 -1/6 (*.f64 x x) 1)) (neg.f64 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (-.f64 -1 (*.f64 x (*.f64 -1/6 x))) (+.f64 (*.f64 y 1/6) (/.f64 -1 y))) |
(/.f64 (-.f64 -1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (*.f64 y 1/6) (/.f64 -1 y))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 2)) |
(fabs.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y)))) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))) 3)) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3) (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 3))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y)))) 1)) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 -1/6 y (/.f64 1 y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 -1/6 x) x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 y -1/6 (/.f64 1 y))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 y (sin.f64 x)) |
| ✓ | 0.4b | (/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
| ✓ | 15.8b | (/.f64 x (*.f64 y (sin.f64 x))) |
Compiled 25 to 8 computations (68% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (*.f64 y (sin.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 x (*.f64 y (sin.f64 x))) |
| 1.0ms | x | @ | inf | (/.f64 x (*.f64 y (sin.f64 x))) |
| 0.0ms | y | @ | inf | (/.f64 x (*.f64 y (sin.f64 x))) |
| 0.0ms | y | @ | 0 | (/.f64 x (*.f64 y (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1384× | associate-*r/ |
| 1276× | associate-/l* |
| 1032× | associate-*l/ |
| 986× | *-commutative |
| 628× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 204 | 45 |
| 2 | 2655 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y (sin.f64 x))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 y (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 y (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1260× | distribute-rgt-in |
| 1240× | distribute-lft-in |
| 568× | associate-*r* |
| 494× | associate-*r/ |
| 478× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 434 | 4752 |
| 1 | 1121 | 4632 |
| 2 | 4693 | 4632 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 x 6) y)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))))) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) 1) |
(*.f64 x (/.f64 1 (*.f64 y (sin.f64 x)))) |
(*.f64 x (neg.f64 (/.f64 -1 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 1) |
(*.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 y (sin.f64 x))) x) |
(*.f64 -1 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))) |
(*.f64 (neg.f64 x) (/.f64 -1 (*.f64 y (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))) (cbrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x)))))) (neg.f64 (cbrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 y (sin.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 y (sin.f64 x))) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (*.f64 y (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (*.f64 y (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 y)) |
(*.f64 (/.f64 x 1) (/.f64 1 (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 1 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 x y)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 x (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) (/.f64 x (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))))) |
(*.f64 (/.f64 -1 (*.f64 y (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y (sin.f64 x))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 1) (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) -1) (cbrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x)))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x)))))) (sqrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))) (cbrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))))) (cbrt.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))))) (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 1) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) -1) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 (sin.f64 x))))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) x)) |
(*.f64 (/.f64 1 x) (*.f64 y (sin.f64 x))) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) -1)) |
(*.f64 -1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(*.f64 (*.f64 y (neg.f64 (sin.f64 x))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 y 1)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x) (sqrt.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) x) (cbrt.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) -1) |
(*.f64 (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (/.f64 (cbrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 y (/.f64 (cbrt.f64 x) (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 y x) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) -1)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) (cbrt.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 y (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (/.f64 x y))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 y (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) y) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) (sqrt.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) (cbrt.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 -1 (neg.f64 (/.f64 x y))) (sin.f64 x)) |
(*.f64 (/.f64 -1 x) (*.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) 1) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 y (neg.f64 (sin.f64 x))))) |
(pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) -1) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) -2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 y (sin.f64 x))) (log.f64 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1) |
(/.f64 y (/.f64 1 (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 1 y)) |
(/.f64 (*.f64 y (sin.f64 x)) 1) |
(/.f64 1 (/.f64 1 (*.f64 y (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 y (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 y (cbrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 y)))) |
(/.f64 (*.f64 y (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(pow.f64 (*.f64 y (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3) |
(neg.f64 (*.f64 y (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 y (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y)) |
(fma.f64 1/6 (/.f64 x (/.f64 y x)) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(+.f64 (/.f64 1 y) (fma.f64 1/6 (/.f64 x (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 x 4) y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/6 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 7/360 (pow.f64 x 4)) y))) |
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 x 6) y)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))))) |
(fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 (*.f64 1/6 (*.f64 x x)) y)))) |
(+.f64 (fma.f64 1/6 (/.f64 x (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 x 4) y))) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))) |
(+.f64 (fma.f64 1/6 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 7/360 (pow.f64 x 4)) y)) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 y) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (*.f64 y (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 y (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 y (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 y (cbrt.f64 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 y (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 y) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (sin.f64 x) (sqrt.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (sin.f64 x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sin.f64 x) (sqrt.f64 y))) |
(pow.f64 (*.f64 y (sin.f64 x)) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3) |
(*.f64 y (sin.f64 x)) |
(neg.f64 (*.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2)) |
(fabs.f64 (*.f64 y (sin.f64 x))) |
(log.f64 (pow.f64 (exp.f64 y) (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3)) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))) |
(*.f64 y (sin.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
Compiled 23941 to 15054 computations (37.1% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1080 | 6 | 1086 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 8 | 10 |
| Total | 1083 | 16 | 1099 |
| Status | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) | |
| ✓ | 0.8b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 32.6b | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) | |
| ✓ | 30.5b | (/.f64 (sinh.f64 y) 1) |
| ✓ | 1.2b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ✓ | 0.9b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.3b | (/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) | |
| 47.0b | (/.f64 1 (/.f64 x (*.f64 y x))) | |
| 31.3b | (/.f64 1 (/.f64 1 y)) | |
| 16.2b | (/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) | |
| ✓ | 31.3b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 62.8b | (/.f64 -6 y) | |
| ✓ | 32.5b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| ✓ | 32.5b | (+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
| ✓ | 0.9b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 31.3b | y |
Compiled 149 to 106 computations (28.9% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 2 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
4 calls:
| 14.0ms | (sinh.f64 y) |
| 13.0ms | x |
| 13.0ms | y |
| 9.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0.1b | 1 | (sinh.f64 y) |
Compiled 279 to 140 computations (49.8% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 2 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| Outputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
3 calls:
| 11.0ms | (sinh.f64 y) |
| 10.0ms | x |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | x |
| 0.8b | 1 | y |
| 0.8b | 1 | (sinh.f64 y) |
Compiled 213 to 117 computations (45.1% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(/.f64 2 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) y) |
3 calls:
| 11.0ms | (sinh.f64 y) |
| 10.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 1 | x |
| 0.9b | 1 | y |
| 0.9b | 1 | (sinh.f64 y) |
Compiled 201 to 111 computations (44.8% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
(/.f64 (sinh.f64 y) 1) |
| Outputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
3 calls:
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | (sinh.f64 y) |
| Error | Segments | Branch |
|---|---|---|
| 16.2b | 1 | x |
| 16.2b | 1 | y |
| 16.2b | 1 | (sinh.f64 y) |
Compiled 121 to 79 computations (34.7% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
| Outputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
2 calls:
| 6.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 31.3b | 1 | x |
| 31.3b | 1 | y |
Compiled 62 to 39 computations (37.1% saved)
Total -31.9b remaining (-101.9%)
Threshold costs -31.9b (-101.9%)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| Outputs |
|---|
y |
2 calls:
| 5.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 31.3b | 1 | x |
| 31.3b | 1 | y |
Compiled 42 to 25 computations (40.5% saved)
| 1× | egg-herbie |
| 8× | *-commutative |
| 4× | +-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 136 |
| 1 | 31 | 136 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
y |
Compiled 60 to 43 computations (28.3% saved)
| 1× | egg-herbie |
| 1366× | associate-*r* |
| 1204× | fma-neg |
| 980× | associate-/l* |
| 772× | associate-*l* |
| 768× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 39 | 21 |
| 3 | 79 | 21 |
| 4 | 175 | 21 |
| 5 | 423 | 21 |
| 6 | 1383 | 21 |
| 7 | 5708 | 21 |
| 1× | node limit |
Compiled 16 to 8 computations (50% saved)
Compiled 50 to 29 computations (42% saved)
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