Time bar (total: 9.5s)
| 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)
| 1.2s | 6898× | body | 256 | valid |
| 926.0ms | 2069× | body | 1024 | infinite |
| 287.0ms | 1025× | body | 512 | infinite |
| 283.0ms | 657× | body | 1024 | valid |
| 264.0ms | 1651× | body | 256 | infinite |
| 223.0ms | 699× | body | 512 | valid |
| 1.0ms | 2× | 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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 4 | 7 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 5 | 8 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.9% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 99.8% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 98.6% | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| ▶ | 99.7% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
Compiled 36 to 24 computations (33.3% saved)
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sin.f64 x) |
| ✓ | 100.0% | (/.f64 (sinh.f64 y) x) |
| ✓ | 100.0% | (sinh.f64 y) |
| ✓ | 99.7% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1116× | associate-*r/ |
| 936× | *-commutative |
| 864× | associate-/r* |
| 836× | associate-*l/ |
| 692× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 187 | 42 |
| 2 | 2466 | 42 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(sinh.f64 y) |
(/.f64 (sinh.f64 y) x) |
(sin.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(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 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 x (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 x (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(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 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) -1) (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x)))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) (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) x)) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)) (/.f64 x (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 x)) (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (pow.f64 x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (cbrt.f64 x))) 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(sinh.f64 y) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x))))))) |
| 1× | egg-herbie |
| 1342× | times-frac |
| 926× | associate-/l/ |
| 834× | associate-/r* |
| 660× | associate-*r/ |
| 630× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 630 | 7978 |
| 1 | 1584 | 7678 |
| 1× | node limit |
| Inputs |
|---|
(/.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)) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 x 1)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x (sin.f64 x)) 1/2)) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x (sin.f64 x)) 2)) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 x (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 x (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2)) |
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) |
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(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))) |
(pow.f64 (/.f64 (sinh.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3) |
(pow.f64 (/.f64 x (sinh.f64 y)) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) |
(*.f64 (sin.f64 x) 1) |
(*.f64 1 (sin.f64 x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(pow.f64 (sin.f64 x) 1) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(log.f64 (exp.f64 (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
| Outputs |
|---|
(/.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 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.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)))) |
(+.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))))) |
(+.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 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 (pow.f64 x 6) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))) |
(*.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (/.f64 y x)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (/.f64 y x) (fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (/.f64 y x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))) |
(+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(fma.f64 1/5040 (/.f64 (pow.f64 y 7) x) (+.f64 (/.f64 y x) (fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) x) (/.f64 y x))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
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(/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
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(/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
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(/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
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(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3) 1/3) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y))))) |
(sinh.f64 y) |
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(/.f64 (sinh.f64 y) 1) |
(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(/.f64 (*.f64 -2 (sinh.f64 y)) -2) |
(sinh.f64 y) |
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(sinh.f64 y) |
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(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
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(/.f64 (neg.f64 (*.f64 -2 (sinh.f64 y))) 2) |
(sinh.f64 y) |
(pow.f64 (sinh.f64 y) 1) |
(sinh.f64 y) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(sinh.f64 y) |
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3) |
(sinh.f64 y) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(sinh.f64 y) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2)) |
(sinh.f64 y) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(fabs.f64 (sinh.f64 y)) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y)))) |
(sinh.f64 y) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(sinh.f64 y) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) 1) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sinh.f64 y) (pow.f64 x -1)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sinh.f64 y) x) 1) |
(/.f64 (sinh.f64 y) x) |
(*.f64 1 (/.f64 (sinh.f64 y) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
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(/.f64 (sinh.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (pow.f64 x -1) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
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(/.f64 (sinh.f64 y) x) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y))) |
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(/.f64 (sinh.f64 y) x) |
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(pow.f64 (/.f64 (sinh.f64 y) x) 1) |
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(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (/.f64 x (sinh.f64 y)) -1) |
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(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x))) |
(/.f64 (sinh.f64 y) x) |
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(/.f64 (sinh.f64 y) x) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1)) |
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(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x)))) |
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(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) |
(fabs.f64 (/.f64 (sinh.f64 y) x)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x)))) |
(/.f64 (sinh.f64 y) x) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3)) |
(/.f64 (sinh.f64 y) x) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(sin.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(sin.f64 x) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(sin.f64 x) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(fabs.f64 (sin.f64 x)) |
(log.f64 (exp.f64 (sin.f64 x))) |
(sin.f64 x) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x)))) |
(sin.f64 x) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(sin.f64 x) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(sin.f64 x) |
(exp.f64 (log.f64 (sin.f64 x))) |
(sin.f64 x) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(sin.f64 x) |
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| 100.0% | (sinh.f64 y) | |
| ✓ | 100.0% | (/.f64 x (sinh.f64 y)) |
| ✓ | 98.6% | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | y | @ | inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.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 |
|---|
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exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))))))) |
| 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)) |
(/.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 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 x y) |
(+.f64 (*.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))) |
(+.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)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.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 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.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 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 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 (cbrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 (sinh.f64 y) x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 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 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 -1 (/.f64 (sinh.f64 y) x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (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 (/.f64 (sin.f64 x) x) -1) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 x)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(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 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (pow.f64 (exp.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)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) 1) |
(*.f64 x (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 x (sinh.f64 y)) 1) |
(*.f64 1 (/.f64 x (sinh.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) |
(*.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 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 1 (sinh.f64 y)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y)))) |
(*.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (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 1) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (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 (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(*.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.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 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (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 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x)) |
(*.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (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)) |
(pow.f64 (/.f64 x (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 (sinh.f64 y) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2)) |
(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))))) |
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(*.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 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| 100.0% | (sinh.f64 y) | |
| ✓ | 99.9% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 99.8% | (/.f64 x (sin.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | x | @ | 0 | (/.f64 (sinh.f64 y) (/.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 |
|---|
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(neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
| 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)))) |
(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 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (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 (/.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 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 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) |
(+.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 (*.f64 1/240 (-.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 1/240 (*.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)))) |
(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 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 (*.f64 1/240 (-.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))) -1/12) (*.f64 x x) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 6) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) (*.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 (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)))))) |
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(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 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 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sinh.f64 y) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (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 (sinh.f64 y) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) 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 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.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 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.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)))) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (cbrt.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)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(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 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log.f64 (+.f64 1 (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)) |
(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)) |
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| 100.0% | (sinh.f64 y) | |
| ✓ | 99.8% | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | 76.9% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 1× | batch-egg-rewrite |
| 1278× | associate-/r* |
| 1174× | associate-/l* |
| 1048× | associate-*r/ |
| 956× | *-commutative |
| 740× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 187 | 36 |
| 2 | 2519 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
| Outputs |
|---|
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egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.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 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1380× | associate-/r* |
| 1220× | associate-/r/ |
| 908× | distribute-rgt-in |
| 908× | distribute-lft-in |
| 430× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 4960 |
| 1 | 799 | 4820 |
| 2 | 3102 | 4652 |
| 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 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 y (sin.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.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 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 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 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (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 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (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 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.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 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.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 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))) |
(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)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1) |
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.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 -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 (pow.f64 x 4) 1/240) (*.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 (*.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 (sin.f64 x) x) y) |
(+.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))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(+.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)))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (*.f64 (/.f64 (sin.f64 x) x) y))) |
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(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (sin.f64 x) (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
Compiled 20408 to 7351 computations (64% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1284 | 11 | 1295 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 1 | 3 |
| Total | 1287 | 12 | 1299 |
| Status | Accuracy | Program |
|---|---|---|
| 76.8% | (/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x) | |
| 99.6% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) | |
| ▶ | 75.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 74.1% | (/.f64 (sinh.f64 y) (fma.f64 1/6 (*.f64 x x) 1)) | |
| ✓ | 99.8% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 99.7% | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ▶ | 51.6% | (/.f64 (sinh.f64 y) 1) |
| 96.7% | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 96.9% | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ▶ | 98.0% | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 75.6% | (/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
| 97.8% | (*.f64 (/.f64 y x) (sin.f64 x)) |
Compiled 223 to 154 computations (30.9% saved)
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sinh.f64 y) | |
| ✓ | 99.9% | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ✓ | 99.8% | (/.f64 1 (sin.f64 x)) |
| ✓ | 99.6% | (*.f64 (/.f64 1 (sin.f64 x)) x) |
Compiled 28 to 14 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 1× | batch-egg-rewrite |
| 1568× | associate-/l* |
| 1520× | associate-*l/ |
| 1092× | *-commutative |
| 496× | associate-/r/ |
| 422× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 227 | 43 |
| 2 | 2992 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(/.f64 1 (sin.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) 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 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 1 (/.f64 (cbrt.f64 x) (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)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) x) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x 1) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.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) (/.f64 (cbrt.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(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 neg.f64 (/.f64 (neg.f64 x) (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) (/.f64 1 (pow.f64 (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 1 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (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 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(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 (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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
| 1× | egg-herbie |
| 1648× | unswap-sqr |
| 592× | distribute-rgt-in |
| 584× | distribute-lft-in |
| 500× | associate-/l* |
| 432× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 4637 |
| 1 | 1042 | 4561 |
| 2 | 4158 | 4485 |
| 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 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 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 1/2 (-.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 1 (/.f64 (sin.f64 x) x)) |
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) |
(/.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 x 1) (sin.f64 x)) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) x) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) 1) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x))) 1) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(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) |
(neg.f64 (/.f64 (neg.f64 x) (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) (/.f64 1 (pow.f64 (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 1 (sin.f64 x)))) 1) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 -1 (sin.f64 x)) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1)) |
(pow.f64 (sin.f64 x) -1) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.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 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.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 (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 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(*.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)) (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) 1) (*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) 1) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) 1) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (sin.f64 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 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.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) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.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 (/.f64 x (sin.f64 x)) (sinh.f64 y)) -1) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (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)) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x (sin.f64 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 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 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 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (/.f64 y (/.f64 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 1/120 (/.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 (pow.f64 y 3) x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (*.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 1/120 (/.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 (sinh.f64 y) x) (sin.f64 x)) |
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(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
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(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sinh.f64 y) |
Compiled 10 to 6 computations (40% saved)
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| ✓ | 99.9% | (/.f64 y (/.f64 x (sin.f64 x))) |
| 99.8% | (/.f64 x (sin.f64 x)) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.0ms | y | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | y | @ | inf | (/.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 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| ✓ | 99.8% | (*.f64 (sin.f64 x) y) |
| ✓ | 76.9% | (/.f64 (*.f64 (sin.f64 x) y) x) |
Compiled 16 to 5 computations (68.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | y | @ | -inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) y) |
| 1× | batch-egg-rewrite |
| 1800× | add-sqr-sqrt |
| 1788× | *-un-lft-identity |
| 1662× | add-cube-cbrt |
| 1636× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 163 | 28 |
| 2 | 2178 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (sin.f64 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 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (sin.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 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) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(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 pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))))) (#(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 (exp.f64 (*.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))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))))))) |
| 1× | egg-herbie |
| 1482× | associate-/l* |
| 762× | unswap-sqr |
| 744× | times-frac |
| 692× | *-commutative |
| 608× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1851 |
| 1 | 433 | 1815 |
| 2 | 1821 | 1809 |
| 3 | 7898 | 1809 |
| 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 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 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1) |
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y))) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(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) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(log.f64 (exp.f64 (*.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))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 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) |
(+.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 1/120 (*.f64 y (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 1/120 (*.f64 y (pow.f64 x 4)) 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 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (pow.f64 x 3) (*.f64 y -1/6))) |
(*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120)))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 5)) (*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(+.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)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120))))) |
(fma.f64 y (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 y x (*.f64 y (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.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 (/.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) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 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 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 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 (*.f64 (sin.f64 x) y) (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(*.f64 y (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(*.f64 y (sin.f64 x)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(*.f64 y (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(*.f64 y (sin.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1)) |
(*.f64 y (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sinh.f64 y) | |
| ✓ | 99.8% | (*.f64 (sinh.f64 y) (sin.f64 x)) |
| ✓ | 98.6% | (/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
| ✓ | 76.9% | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
Compiled 30 to 9 computations (70% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | y | @ | 0 | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | y | @ | inf | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | y | @ | -inf | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | x | @ | inf | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1594× | associate-*r/ |
| 1330× | associate-/l* |
| 1170× | associate-*l/ |
| 1106× | *-commutative |
| 402× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 228 | 57 |
| 2 | 2995 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 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| 1× | egg-herbie |
| 1466× | distribute-lft-in |
| 700× | associate-*r* |
| 628× | associate-/l* |
| 598× | *-commutative |
| 574× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 9652 |
| 1 | 1407 | 7922 |
| 2 | 5848 | 7922 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
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(*.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) x)) |
(*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) x)) |
(*.f64 (/.f64 1 x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) -1)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 x))) |
(*.f64 -1 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(*.f64 -1 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) x) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) x) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) x) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2) -1)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (/.f64 x (sinh.f64 y)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sinh.f64 y))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (neg.f64 (/.f64 x (sinh.f64 y)))) (sin.f64 x)) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) 1) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -2)) |
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (log.f64 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 1) |
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 2 (*.f64 (sinh.f64 y) 2))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) |
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 1 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (sin.f64 x)) -2) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1 (sinh.f64 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1 (sinh.f64 y)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1 (sinh.f64 y))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
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(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (sin.f64 x)) -2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) 1/3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
Compiled 17135 to 7153 computations (58.3% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1079 | 8 | 1087 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1081 | 18 | 1099 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
| ▶ | 51.1% | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
| ✓ | 75.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 27.9% | (/.f64 (*.f64 y x) x) |
| 74.1% | (/.f64 (sinh.f64 y) (fma.f64 1/6 (*.f64 x x) 1)) | |
| ✓ | 99.8% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 99.7% | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 74.0% | (/.f64 (sinh.f64 y) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) | |
| ✓ | 51.6% | (/.f64 (sinh.f64 y) 1) |
| ▶ | 96.7% | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 96.9% | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ✓ | 98.0% | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 49.3% | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 49.3% | (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) | |
| 97.8% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 74.9% | (*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) | |
| 97.6% | (*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) | |
| 50.9% | y |
Compiled 301 to 207 computations (31.2% saved)
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sinh.f64 y) | |
| ✓ | 100.0% | (/.f64 1 (sinh.f64 y)) |
| ✓ | 99.8% | (/.f64 (sin.f64 x) x) |
| ✓ | 99.7% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
Compiled 26 to 11 computations (57.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) x) |
| 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 | 49 |
| 1 | 234 | 43 |
| 2 | 3243 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sin.f64 x) x) |
(/.f64 1 (sinh.f64 y)) |
| Outputs |
|---|
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(#(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 |
| 1762× | distribute-lft-in |
| 1068× | times-frac |
| 872× | associate-*l* |
| 860× | associate-*r* |
| 650× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 5891 |
| 1 | 1288 | 5749 |
| 2 | 6513 | 5749 |
| 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)) |
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 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 (sin.f64 x) x))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 -1 x))) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x))))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))) |
(*.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))))) |
(*.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))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 x (sin.f64 x)) -1/2) (pow.f64 (/.f64 x (sin.f64 x)) -1/2)) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(-.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 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 (*.f64 1/240 (-.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 (*.f64 1/240 (-.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))))) |
(*.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) |
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(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
1 |
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(fma.f64 (*.f64 x x) -1/6 1) |
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(/.f64 1 y) |
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(*.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)))) |
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(*.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))) |
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(/.f64 (sin.f64 x) x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(*.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))))) |
(/.f64 (sin.f64 x) 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))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3/2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/6)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (/.f64 x (sin.f64 x)) -1/2) (pow.f64 (/.f64 x (sin.f64 x)) -1/2)) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(/.f64 (sin.f64 x) x) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) x) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(fabs.f64 (/.f64 (sin.f64 x) x)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(/.f64 (sin.f64 x) x) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(/.f64 (sin.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1)) |
(/.f64 (sin.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 1 (/.f64 1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (sinh.f64 y)) 1) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.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)) (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 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) -1) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 -1 (/.f64 -1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))))) |
(/.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 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 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (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 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) |
(/.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 1 (sinh.f64 y)) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.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)) (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 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 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))) |
(*.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 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.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 (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 (*.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 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)) |
(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)) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 76.9% | (/.f64 (*.f64 y x) x) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 y x) x) |
| 1× | batch-egg-rewrite |
| 1232× | add-sqr-sqrt |
| 1220× | *-un-lft-identity |
| 1140× | add-cube-cbrt |
| 1120× | add-cbrt-cube |
| 1110× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 126 | 1 |
| 2 | 1771 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y)))))) |
| 1× | egg-herbie |
| 1564× | associate-*r/ |
| 1316× | times-frac |
| 1232× | associate-/r* |
| 1084× | associate-/l/ |
| 928× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 335 |
| 1 | 238 | 335 |
| 2 | 1283 | 335 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 y) 1) |
(*.f64 y 1) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (*.f64 y x) (/.f64 1 x)) |
(*.f64 1 y) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 y x)) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x))) |
(*.f64 (/.f64 y x) x) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) |
(pow.f64 y 1) |
(pow.f64 (sqrt.f64 y) 2) |
(pow.f64 (cbrt.f64 y) 3) |
(pow.f64 (pow.f64 y 3) 1/3) |
(pow.f64 (/.f64 1 y) -1) |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x))) |
(sqrt.f64 (*.f64 y y)) |
(log.f64 (exp.f64 y)) |
(cbrt.f64 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 y)) |
(exp.f64 (log.f64 y)) |
(log1p.f64 (expm1.f64 y)) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 y) 1) |
y |
(*.f64 y 1) |
y |
(*.f64 x (*.f64 y (/.f64 1 x))) |
y |
(*.f64 (*.f64 y x) (/.f64 1 x)) |
y |
(*.f64 1 y) |
y |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x))) |
y |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
y |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
y |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x))) |
y |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
y |
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x))) |
y |
(*.f64 (/.f64 x 1) (/.f64 y x)) |
y |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y x) x) |
y |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x)) |
y |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x)) |
y |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 y))) |
(pow.f64 y 1) |
y |
(pow.f64 (sqrt.f64 y) 2) |
y |
(pow.f64 (cbrt.f64 y) 3) |
y |
(pow.f64 (pow.f64 y 3) 1/3) |
y |
(pow.f64 (/.f64 1 y) -1) |
y |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x))) |
y |
(sqrt.f64 (*.f64 y y)) |
y |
(log.f64 (exp.f64 y)) |
y |
(cbrt.f64 (pow.f64 y 3)) |
y |
(expm1.f64 (log1p.f64 y)) |
y |
(exp.f64 (log.f64 y)) |
y |
(log1p.f64 (expm1.f64 y)) |
y |
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (*.f64 -1/6 y) |
| ✓ | 87.4% | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (*.f64 -1/6 y) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1514× | add-sqr-sqrt |
| 1492× | *-un-lft-identity |
| 1390× | add-cube-cbrt |
| 1370× | add-cbrt-cube |
| 1356× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 163 | 26 |
| 2 | 1959 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y 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 x (*.f64 -1/6 (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 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 exp.f64 (*.f64 (log.f64 (*.f64 -1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 y))))))) |
| 1× | egg-herbie |
| 1308× | distribute-lft-in |
| 1296× | distribute-rgt-in |
| 1248× | associate-+l+ |
| 1218× | associate-+r+ |
| 734× | log-prod |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 922 |
| 1 | 168 | 850 |
| 2 | 684 | 776 |
| 3 | 2419 | 772 |
| 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 x (*.f64 -1/6 (*.f64 y x)))) 1) |
(pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 x 4))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) y) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))))) |
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) |
(pow.f64 (*.f64 -1/6 y) 1) |
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3) |
(pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3) |
(sqrt.f64 (*.f64 1/36 (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 -1/6) y)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 y))) |
(exp.f64 (log.f64 (*.f64 -1/6 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 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 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 1) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 3) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3) 1/3) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 x 4))) |
(sqrt.f64 (*.f64 1/36 (*.f64 (*.f64 y y) (pow.f64 x 4)))) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) |
(fabs.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) y) (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))) 3)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 (*.f64 y x))))) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(pow.f64 (*.f64 -1/6 y) 1) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(sqrt.f64 (*.f64 1/36 (*.f64 y y))) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(log.f64 (pow.f64 (exp.f64 -1/6) y)) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3)) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 y))) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(exp.f64 (log.f64 (*.f64 -1/6 y))) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 y)) 1)) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 y))) |
(+.f64 (+.f64 1 (*.f64 -1/6 y)) -1) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| ✓ | 98.6% | (/.f64 (sin.f64 x) (/.f64 x y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.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 accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| ✓ | 99.8% | (*.f64 1/6 (pow.f64 y 3)) |
Compiled 30 to 23 computations (23.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 1/6 (pow.f64 y 3)) |
| 0.0ms | y | @ | inf | (+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| 0.0ms | y | @ | -inf | (*.f64 1/6 (pow.f64 y 3)) |
| 0.0ms | y | @ | inf | (*.f64 1/6 (pow.f64 y 3)) |
| 0.0ms | y | @ | -inf | (+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| 1× | batch-egg-rewrite |
| 1730× | add-sqr-sqrt |
| 1694× | *-un-lft-identity |
| 1608× | add-cube-cbrt |
| 1596× | add-cbrt-cube |
| 164× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 178 | 28 |
| 2 | 2162 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (pow.f64 y 3)) |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (/.f64 (*.f64 (pow.f64 y 6) 1/36) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (/.f64 1 (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (/.f64 1 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (-.f64 (*.f64 y y) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))) (neg.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 y 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3) 1/6 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 1/6 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 y 3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 1/6 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (cbrt.f64 1/6)) 2) (*.f64 y (cbrt.f64 1/6)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 1/6 (pow.f64 y 3))))))) |
| 1× | egg-herbie |
| 1176× | distribute-lft-neg-in |
| 648× | associate--r+ |
| 608× | +-commutative |
| 558× | unswap-sqr |
| 484× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1319 |
| 1 | 284 | 1191 |
| 2 | 1117 | 1171 |
| 3 | 4741 | 1171 |
| 1× | node limit |
| Inputs |
|---|
y |
(*.f64 1/6 (pow.f64 y 3)) |
(*.f64 1/6 (pow.f64 y 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1) |
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1) |
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2) |
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) 1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (/.f64 (*.f64 (pow.f64 y 6) 1/36) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(*.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) |
(*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (/.f64 1 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (/.f64 1 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)))) |
(/.f64 1 (/.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (-.f64 (*.f64 y y) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))) (neg.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 3) |
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 2)) |
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 y 3) 1/6 y) |
(fma.f64 1 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1 (*.f64 1/6 (pow.f64 y 3)) y) |
(fma.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 1/6)) 2) (*.f64 y (cbrt.f64 1/6)) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
| Outputs |
|---|
y |
(*.f64 1/6 (pow.f64 y 3)) |
(*.f64 1/6 (pow.f64 y 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3) |
(*.f64 1/6 (pow.f64 y 3)) |
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) 1/6)) |
(*.f64 1/6 (pow.f64 y 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/6 (pow.f64 y 3)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) |
(*.f64 1/6 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 1/6 (pow.f64 y 3)) |
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 1/6 (pow.f64 y 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1)) |
(*.f64 1/6 (pow.f64 y 3)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 1/6 (pow.f64 y 3)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (/.f64 (*.f64 (pow.f64 y 6) 1/36) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (/.f64 1 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (/.f64 1 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 1 (/.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (-.f64 (*.f64 y y) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))) (neg.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 3) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3) 1/3) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 2)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y)))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 1)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 y 3) 1/6 y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 1 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 1 (*.f64 1/6 (pow.f64 y 3)) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 1/6)) 2) (*.f64 y (cbrt.f64 1/6)) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
Compiled 9118 to 4131 computations (54.7% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 577 | 9 | 586 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 581 | 23 | 604 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.8% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| ▶ | 97.9% | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 51.1% | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
| 50.1% | (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/6)) (/.f64 1 (sinh.f64 y))) | |
| ✓ | 75.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | 27.9% | (/.f64 (*.f64 y x) x) |
| ✓ | 99.8% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 99.7% | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ✓ | 51.6% | (/.f64 (sinh.f64 y) 1) |
| ✓ | 96.7% | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ✓ | 98.0% | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 29.3% | (-.f64 (+.f64 1 y) 1) |
| 49.6% | (+.f64 y (-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) | |
| 49.4% | (+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))) | |
| ✓ | 49.3% | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| ▶ | 49.3% | (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
| 97.8% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 74.9% | (*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) | |
| 27.9% | (*.f64 (/.f64 1 x) (*.f64 y x)) | |
| 97.6% | (*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) | |
| 71.1% | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| ▶ | 27.3% | (sqrt.f64 (*.f64 y y)) |
| 50.9% | y |
Compiled 362 to 256 computations (29.3% saved)
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| 99.8% | (/.f64 (sin.f64 x) x) | |
| ✓ | 99.7% | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 99.5% | (*.f64 y -1/6) |
Compiled 37 to 21 computations (43.2% saved)
9 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))) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | y | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.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 | 42 |
| 1 | 280 | 38 |
| 2 | 3851 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y -1/6) |
(/.f64 (/.f64 (sin.f64 x) x) (+.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))))))) 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| 1× | egg-herbie |
| 1452× | distribute-lft-in |
| 1430× | distribute-rgt-in |
| 1342× | associate-/l/ |
| 708× | associate-/r/ |
| 480× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 6485 |
| 1 | 1032 | 6091 |
| 2 | 4007 | 6083 |
| 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) |
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(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 3) 1/3) |
(pow.f64 (*.f64 (fma.f64 y -1/6 (/.f64 1 y)) (/.f64 x (sin.f64 x))) -1) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.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 y -1/6 (/.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 -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 y -1/6 (/.f64 1 y))) (/.f64 1 (fma.f64 y -1/6 (/.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 y -1/6 (/.f64 1 y))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 y -1/6 (/.f64 1 y)))) (/.f64 1 (fma.f64 y -1/6 (/.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 y -1/6 (/.f64 1 y))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 y -1/6 (/.f64 1 y))))) (/.f64 1 (fma.f64 y -1/6 (/.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 (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)))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (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 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.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 (sin.f64 x) x) y) |
(+.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))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(+.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 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/36 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (*.f64 (/.f64 (sin.f64 x) x) y))) |
(+.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 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (fma.f64 1/216 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/36 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (fma.f64 1/216 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (/.f64 (sin.f64 x) x) y)))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(/.f64 (*.f64 -6 (sin.f64 x)) (*.f64 y x)) |
(*.f64 (/.f64 -6 x) (/.f64 (sin.f64 x) y)) |
(+.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 (*.f64 -6 (sin.f64 x)) (*.f64 y x))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 (/.f64 -36 x) (/.f64 (sin.f64 x) (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 (*.f64 -6 (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) x) (pow.f64 y 3))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 (/.f64 -36 x) (/.f64 (sin.f64 x) (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 (*.f64 -6 (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) 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))))))) |
(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 (/.f64 -1296 (*.f64 x (pow.f64 y 7))) (sin.f64 x))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(/.f64 (*.f64 -6 (sin.f64 x)) (*.f64 y x)) |
(*.f64 (/.f64 -6 x) (/.f64 (sin.f64 x) y)) |
(+.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 (*.f64 -6 (sin.f64 x)) (*.f64 y x))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 (/.f64 -36 x) (/.f64 (sin.f64 x) (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 (*.f64 -6 (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) x) (pow.f64 y 3))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 (/.f64 -36 x) (/.f64 (sin.f64 x) (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 (*.f64 -6 (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) 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))))))) |
(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 (/.f64 -1296 (*.f64 x (pow.f64 y 7))) (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1/6))) 1) |
(*.f64 -1/6 y) |
(pow.f64 (*.f64 y -1/6) 1) |
(*.f64 -1/6 y) |
(pow.f64 (sqrt.f64 (*.f64 y -1/6)) 2) |
(*.f64 -1/6 y) |
(pow.f64 (cbrt.f64 (*.f64 y -1/6)) 3) |
(*.f64 -1/6 y) |
(pow.f64 (*.f64 (pow.f64 y 3) -1/216) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216)) |
(sqrt.f64 (*.f64 (*.f64 y y) 1/36)) |
(sqrt.f64 (*.f64 y (*.f64 y 1/36))) |
(sqrt.f64 (*.f64 1/36 (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 y) -1/6)) |
(*.f64 -1/6 y) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/6)))) |
(*.f64 -1/6 y) |
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 y -1/6))) |
(*.f64 -1/6 y) |
(exp.f64 (log.f64 (*.f64 y -1/6))) |
(*.f64 -1/6 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 y -1/6)) 1)) |
(*.f64 -1/6 y) |
(log1p.f64 (expm1.f64 (*.f64 y -1/6))) |
(*.f64 -1/6 y) |
(+.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 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36))))) (fma.f64 1/6 y (*.f64 -1/6 y)))) |
(fma.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)))) (*.f64 y 0) (/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y))))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2))) (*.f64 y 0) (/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.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)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36))))) (fma.f64 1/6 y (*.f64 -1/6 y)))) |
(fma.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)))) (*.f64 y 0) (/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y))))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2))) (*.f64 y 0) (/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y)))) |
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(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 x) (fma.f64 y -1/6 (/.f64 1 y)))) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (fma.f64 -1/6 y (/.f64 1 y)) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (fma.f64 -1/6 y (/.f64 1 y)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 y (/.f64 1 y))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (*.f64 (fma.f64 -1/6 y (/.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1) (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (+.f64 (/.f64 -1 y) (*.f64 y 1/6))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (+.f64 (/.f64 -1 y) (*.f64 y 1/6)))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 x 1)) (sin.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) (-.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (-.f64 (/.f64 1 y) (*.f64 -1/6 y))) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36))))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (-.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2)))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (-.f64 (*.f64 y (*.f64 y 1/36)) (pow.f64 y -2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.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 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)))) |
(*.f64 (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2)) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 y 3) 1/216) (pow.f64 y -3))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) x)) (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)))) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y))))))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 x (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) (sqrt.f64 (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)))) (*.f64 x (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) (sqrt.f64 (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) x)) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) (sqrt.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36)))) (*.f64 x (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) (sqrt.f64 (-.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)))) (*.f64 x (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))) (sqrt.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) x)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) x) (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)))) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y))))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) (cbrt.f64 (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2))) (cbrt.f64 (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) x)) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) (cbrt.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) x) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36))))) (cbrt.f64 (-.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2))) (cbrt.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6))))) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 1) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))) 2) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))) 3) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 3) 1/3) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(pow.f64 (*.f64 (fma.f64 y -1/6 (/.f64 1 y)) (/.f64 x (sin.f64 x))) -1) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1) (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (+.f64 (/.f64 -1 y) (*.f64 y 1/6))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (+.f64 (/.f64 -1 y) (*.f64 y 1/6)))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) 2)) |
(fabs.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y))))) |
(fabs.f64 (/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y)))) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 3)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))) 1)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 x (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 90.6% | (-.f64 (+.f64 1 y) 1) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (-.f64 (+.f64 1 y) 1) |
| 0.0ms | y | @ | -inf | (-.f64 (+.f64 1 y) 1) |
| 0.0ms | y | @ | inf | (-.f64 (+.f64 1 y) 1) |
| 1× | batch-egg-rewrite |
| 1320× | add-sqr-sqrt |
| 1304× | *-un-lft-identity |
| 1228× | add-cube-cbrt |
| 1220× | add-cbrt-cube |
| 1212× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 135 | 1 |
| 2 | 1882 | 1 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 y) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) 1) (-.f64 (sqrt.f64 (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)) (+.f64 (pow.f64 (+.f64 1 y) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 2) y) (+.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (+.f64 (pow.f64 (+.f64 1 y) 2) (-.f64 1 (*.f64 (+.f64 1 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 y -1) (+.f64 y -1))) (-.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 y -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 y -1) (+.f64 y -1)) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 y 2) y)) (neg.f64 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (cbrt.f64 (+.f64 1 y)) -1))))) |
| 1× | egg-herbie |
| 1410× | distribute-lft-in |
| 1220× | fma-def |
| 1198× | distribute-rgt-in |
| 640× | associate-+r+ |
| 542× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 421 |
| 1 | 228 | 379 |
| 2 | 1277 | 363 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(+.f64 1 (+.f64 y -1)) |
(+.f64 1 (*.f64 (+.f64 y -1) 1)) |
(+.f64 y 0) |
(+.f64 (+.f64 1 y) -1) |
(+.f64 (+.f64 y -1) 1) |
(+.f64 -1 (+.f64 1 y)) |
(*.f64 1 y) |
(*.f64 y 1) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
(*.f64 (*.f64 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) 1) (-.f64 (sqrt.f64 (+.f64 1 y)) 1)) |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)) (+.f64 (pow.f64 (+.f64 1 y) 3) -1))) |
(/.f64 (*.f64 (+.f64 y 2) y) (+.f64 y 2)) |
(/.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (+.f64 (pow.f64 (+.f64 1 y) 2) (-.f64 1 (*.f64 (+.f64 1 y) -1)))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 y -1) (+.f64 y -1))) (-.f64 1 (+.f64 y -1))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 y -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 y -1) (+.f64 y -1)) (+.f64 y -1)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y 2) y)) (neg.f64 (+.f64 y 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)))) |
(pow.f64 y 1) |
(pow.f64 (sqrt.f64 y) 2) |
(pow.f64 (cbrt.f64 y) 3) |
(pow.f64 (pow.f64 y 3) 1/3) |
(sqrt.f64 (*.f64 y y)) |
(log.f64 (exp.f64 y)) |
(cbrt.f64 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 y)) |
(exp.f64 (log.f64 y)) |
(log1p.f64 (expm1.f64 y)) |
(fma.f64 1 (+.f64 1 y) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (cbrt.f64 (+.f64 1 y)) -1) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(+.f64 1 (+.f64 y -1)) |
y |
(+.f64 1 (*.f64 (+.f64 y -1) 1)) |
y |
(+.f64 y 0) |
y |
(+.f64 (+.f64 1 y) -1) |
y |
(+.f64 (+.f64 y -1) 1) |
y |
(+.f64 -1 (+.f64 1 y)) |
y |
(*.f64 1 y) |
y |
(*.f64 y 1) |
y |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
y |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
y |
(*.f64 (*.f64 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
y |
(*.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (/.f64 1 (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (*.f64 y (+.f64 y 2)) (+.f64 y 3))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 y)) 1) (-.f64 (sqrt.f64 (+.f64 1 y)) 1)) |
y |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
y |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)) (+.f64 (pow.f64 (+.f64 1 y) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (/.f64 1 (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (*.f64 y (+.f64 y 2)) (+.f64 y 3))) |
(/.f64 (*.f64 (+.f64 y 2) y) (+.f64 y 2)) |
y |
(/.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1)) |
y |
(/.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (/.f64 1 (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (*.f64 y (+.f64 y 2)) (+.f64 y 3))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1) (+.f64 (pow.f64 (+.f64 1 y) 2) (-.f64 1 (*.f64 (+.f64 1 y) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (/.f64 1 (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (*.f64 y (+.f64 y 2)) (+.f64 y 3))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 y -1) (+.f64 y -1))) (-.f64 1 (+.f64 y -1))) |
(/.f64 (+.f64 1 (*.f64 (+.f64 y -1) (-.f64 1 y))) (-.f64 2 y)) |
(/.f64 (+.f64 y (*.f64 y (-.f64 1 y))) (-.f64 2 y)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 y -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 y -1) (+.f64 y -1)) (+.f64 y -1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 y -1) 3)) (+.f64 (*.f64 (+.f64 y -1) (+.f64 y -1)) (-.f64 2 y))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 y -1) 3)) (fma.f64 (+.f64 y -1) (+.f64 y -2) 1)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y 2) y)) (neg.f64 (+.f64 y 2))) |
y |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 y) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 y) 2) (+.f64 y 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (/.f64 1 (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (+.f64 y 2) (pow.f64 (+.f64 y 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 y 1) 3)) (+.f64 (*.f64 y (+.f64 y 2)) (+.f64 y 3))) |
(pow.f64 y 1) |
y |
(pow.f64 (sqrt.f64 y) 2) |
y |
(pow.f64 (cbrt.f64 y) 3) |
y |
(pow.f64 (pow.f64 y 3) 1/3) |
y |
(sqrt.f64 (*.f64 y y)) |
y |
(log.f64 (exp.f64 y)) |
y |
(cbrt.f64 (pow.f64 y 3)) |
y |
(expm1.f64 (log1p.f64 y)) |
y |
(exp.f64 (log.f64 y)) |
y |
(log1p.f64 (expm1.f64 y)) |
y |
(fma.f64 1 (+.f64 1 y) -1) |
y |
(fma.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 (+.f64 1 y)) -1) |
y |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2) (cbrt.f64 (+.f64 1 y)) -1) |
y |
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (*.f64 -1/6 (*.f64 y (*.f64 x x))) |
| ✓ | 87.8% | (*.f64 y (*.f64 x x)) |
Compiled 29 to 10 computations (65.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (*.f64 y (*.f64 x x)) |
| 0.0ms | y | @ | 0 | (*.f64 y (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 y (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 y (*.f64 x x)) |
| 0.0ms | y | @ | inf | (*.f64 y (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1512× | add-sqr-sqrt |
| 1490× | *-un-lft-identity |
| 1388× | add-cube-cbrt |
| 1370× | add-cbrt-cube |
| 1356× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 163 | 32 |
| 2 | 1955 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) y) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)))))))) |
| 1× | egg-herbie |
| 1302× | fma-def |
| 1136× | distribute-rgt-out |
| 970× | log-prod |
| 532× | unswap-sqr |
| 458× | sqr-pow |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1152 |
| 1 | 173 | 1152 |
| 2 | 725 | 1152 |
| 3 | 2269 | 1152 |
| 4 | 4919 | 1152 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (pow.f64 x 2)) |
(*.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 -1/6 (*.f64 y (pow.f64 x 2))) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 x x))) 1) |
(pow.f64 (*.f64 y (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) y)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x)))) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1) |
(pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 1) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 3) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)) 1/36)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) y) -1/6)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)))) |
| Outputs |
|---|
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (pow.f64 x 2)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 x x))) 1) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(pow.f64 (*.f64 y (*.f64 x x)) 1) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(pow.f64 (*.f64 x (sqrt.f64 y)) 2) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x x))) 3) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3) 1/3) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 y y))) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) y)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x x)) 3)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x x)))) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y (*.f64 x x)))) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x x))) 1)) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x x)))) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 1) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 3) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3) 1/3) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)) 1/36)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) y) -1/6)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)) 3)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6))) 1)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 x x) -1/6)))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x -1/6))) |
(*.f64 -1/6 (*.f64 x (*.f64 y x))) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 55.4% | (sqrt.f64 (*.f64 y y)) |
Compiled 10 to 4 computations (60% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (sqrt.f64 (*.f64 y y)) |
| 0.0ms | y | @ | 0 | (sqrt.f64 (*.f64 y y)) |
| 0.0ms | y | @ | -inf | (sqrt.f64 (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 888× | add-sqr-sqrt |
| 872× | *-un-lft-identity |
| 836× | associate-*l* |
| 820× | pow1 |
| 812× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 1 |
| 1 | 118 | 1 |
| 2 | 1162 | 1 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 y)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (fabs.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (fabs.f64 (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 y)) (fabs.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y)))))) |
| 1× | egg-herbie |
| 1092× | associate-+l- |
| 838× | distribute-lft-in |
| 734× | distribute-rgt-in |
| 640× | associate-+r+ |
| 640× | unswap-sqr |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 192 |
| 1 | 180 | 192 |
| 2 | 722 | 192 |
| 3 | 2433 | 182 |
| 4 | 7231 | 182 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(-.f64 (+.f64 y 1) 1) |
(*.f64 y 1) |
(*.f64 y (pow.f64 1 1/2)) |
(*.f64 1 y) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
(*.f64 (sqrt.f64 (cbrt.f64 y)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) 1)) |
(*.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (fabs.f64 (cbrt.f64 y))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (fabs.f64 (cbrt.f64 y)) 1)) |
(*.f64 (fabs.f64 (cbrt.f64 y)) (fabs.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 1 1/2) y) |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) 1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2)) |
(pow.f64 y 1) |
(pow.f64 (*.f64 y y) 1/2) |
(pow.f64 (sqrt.f64 y) 2) |
(pow.f64 (cbrt.f64 y) 3) |
(pow.f64 (pow.f64 y 3) 1/3) |
(fabs.f64 y) |
(fabs.f64 (neg.f64 y)) |
(log.f64 (exp.f64 y)) |
(cbrt.f64 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 y)) |
(exp.f64 (log.f64 y)) |
(log1p.f64 (expm1.f64 y)) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 y 1) 1) |
y |
(*.f64 y 1) |
y |
(*.f64 y (pow.f64 1 1/2)) |
y |
(*.f64 1 y) |
y |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
y |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
y |
(*.f64 (sqrt.f64 (cbrt.f64 y)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (*.f64 y (cbrt.f64 y)))) |
y |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 y))) |
y |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
y |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) 1)) |
y |
(*.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
y |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) 4)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
y |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (fabs.f64 (cbrt.f64 y))) |
y |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (fabs.f64 (cbrt.f64 y)) 1)) |
y |
(*.f64 (fabs.f64 (cbrt.f64 y)) (fabs.f64 (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (pow.f64 1 1/2) y) |
y |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) |
y |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) 1)) |
y |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2)) |
y |
(pow.f64 y 1) |
y |
(pow.f64 (*.f64 y y) 1/2) |
y |
(pow.f64 (sqrt.f64 y) 2) |
y |
(pow.f64 (cbrt.f64 y) 3) |
y |
(pow.f64 (pow.f64 y 3) 1/3) |
y |
(fabs.f64 y) |
y |
(fabs.f64 (neg.f64 y)) |
y |
(log.f64 (exp.f64 y)) |
y |
(cbrt.f64 (pow.f64 y 3)) |
y |
(expm1.f64 (log1p.f64 y)) |
y |
(exp.f64 (log.f64 y)) |
y |
(log1p.f64 (expm1.f64 y)) |
y |
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 100.0% | (sin.f64 x) | |
| 99.8% | (/.f64 (sin.f64 x) x) | |
| ✓ | 99.7% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
Compiled 22 to 10 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 1046× | *-commutative |
| 786× | unswap-sqr |
| 718× | associate-/r/ |
| 630× | associate-/l/ |
| 628× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 210 | 17 |
| 2 | 2901 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 (sin.f64 x) (neg.f64 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 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) y) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) (/.f64 1 x))))) (#(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) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) y) (/.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 y -1/2)) (/.f64 1 (*.f64 x (pow.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (pow.f64 y -1/2))) (/.f64 (sin.f64 x) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) y))) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 y)) (cbrt.f64 (/.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 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 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 y (/.f64 x 1)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) 1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) -1) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2) (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1)))) (#(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 neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 (sin.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1522× | times-frac |
| 1104× | associate-/r* |
| 768× | unswap-sqr |
| 742× | *-commutative |
| 656× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 2498 |
| 1 | 628 | 2362 |
| 2 | 2075 | 2362 |
| 3 | 7984 | 2362 |
| 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 y x) (sin.f64 x)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 1 (*.f64 (/.f64 y x) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 -1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) y) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 x) y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 x) y) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 y -1/2)) (/.f64 1 (*.f64 x (pow.f64 y -1/2)))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 y -1/2))) (/.f64 (sin.f64 x) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.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 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) y))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 y)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.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 y)) 1) (sqrt.f64 y)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) 1) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) -1) (cbrt.f64 (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2) (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2)) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(neg.f64 (*.f64 y (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)) y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
| 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 x (*.f64 x y)) y) |
(fma.f64 y (*.f64 -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))))) |
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(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) -1) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 -1 (*.f64 x (cbrt.f64 (pow.f64 y -2))))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) (neg.f64 x))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2) (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 y (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (exp.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)) y)) |
(cbrt.f64 (*.f64 y (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (/.f64 (pow.f64 y -2) y))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Compiled 11897 to 6263 computations (47.4% saved)
23 alts after pruning (11 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 5 | 677 |
| Fresh | 3 | 6 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 11 | 13 |
| Total | 677 | 23 | 700 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.8% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| ✓ | 97.9% | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 51.1% | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
| 50.1% | (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/6)) (/.f64 1 (sinh.f64 y))) | |
| ✓ | 75.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | 27.9% | (/.f64 (*.f64 y x) x) |
| ✓ | 99.8% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 99.7% | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ✓ | 51.6% | (/.f64 (sinh.f64 y) 1) |
| ✓ | 96.7% | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ✓ | 98.0% | (/.f64 y (/.f64 x (sin.f64 x))) |
| 50.8% | (/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) | |
| 50.8% | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) | |
| ✓ | 29.3% | (-.f64 (+.f64 1 y) 1) |
| ✓ | 49.3% | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 97.8% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 74.9% | (*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) | |
| 27.9% | (*.f64 (/.f64 1 x) (*.f64 y x)) | |
| 97.6% | (*.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x)) | |
| 50.9% | (*.f64 (*.f64 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) | |
| 71.1% | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| 5.0% | (neg.f64 y) | |
| 50.9% | y |
Compiled 216 to 155 computations (28.2% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.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 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))) |
(+.f64 y (-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) |
(*.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (sinh.f64 y) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/6)) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.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 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (sinh.f64 y) (fma.f64 1/6 (*.f64 x x) 1)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) x) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
4 calls:
| 17.0ms | x |
| 17.0ms | y |
| 17.0ms | (sinh.f64 y) |
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.8% | 1 | (sinh.f64 y) |
Compiled 319 to 166 computations (48% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.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 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))) |
(+.f64 y (-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) |
(*.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (sinh.f64 y) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/6)) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
3 calls:
| 14.0ms | (sinh.f64 y) |
| 14.0ms | y |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (sinh.f64 y) |
Compiled 251 to 138 computations (45% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.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 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))) |
(+.f64 y (-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) |
(*.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (sinh.f64 y) (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/6)) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| Outputs |
|---|
(/.f64 y (/.f64 x (sin.f64 x))) |
3 calls:
| 13.0ms | (sinh.f64 y) |
| 13.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | y |
| 98.0% | 1 | (sinh.f64 y) |
Compiled 237 to 134 computations (43.5% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.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 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))) |
(+.f64 y (-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 y x) (sin.f64 x)) |
3 calls:
| 8.0ms | (sinh.f64 y) |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | x |
| 97.8% | 1 | y |
| 97.8% | 1 | (sinh.f64 y) |
Compiled 128 to 79 computations (38.3% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.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 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))) |
(+.f64 y (-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
| Outputs |
|---|
(-.f64 (+.f64 1 y) 1) |
(/.f64 (sinh.f64 y) 1) |
(-.f64 (+.f64 1 y) 1) |
3 calls:
| 21.0ms | x |
| 8.0ms | (sinh.f64 y) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 3 | x |
| 71.1% | 1 | y |
| 71.1% | 1 | (sinh.f64 y) |
Compiled 122 to 76 computations (37.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 2841.821865993153 | 1690665600.9179976 |
| 13.0ms | -13164020781043229000.0 | -6.26553820973203e+18 |
| 31.0ms | 224× | body | 256 | valid |
Compiled 224 to 192 computations (14.3% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.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 (+.f64 y 2) y) (/.f64 1 (+.f64 y 2))) |
(/.f64 1 (/.f64 (+.f64 y 2) (*.f64 (+.f64 y 2) y))) |
(+.f64 y (*.f64 (-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) (*.f64 x x))) |
(+.f64 y (-.f64 (+.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y x)))) 1)) |
(sqrt.f64 (*.f64 y y)) |
| Outputs |
|---|
(*.f64 x (*.f64 y (/.f64 1 x))) |
2 calls:
| 114.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 1 | x |
| 71.1% | 1 | y |
Compiled 114 to 70 computations (38.6% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
| Outputs |
|---|
(-.f64 (+.f64 1 y) 1) |
y |
(-.f64 (+.f64 1 y) 1) |
2 calls:
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 3 | x |
| 52.9% | 3 | y |
Compiled 21 to 13 computations (38.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2841.821865993153 | 1690665600.9179976 |
| 40.0ms | -13164020781043229000.0 | -6.26553820973203e+18 |
| 29.0ms | 224× | body | 256 | valid |
Compiled 182 to 150 computations (17.6% saved)
Total -29.7b remaining (-94.3%)
Threshold costs -29.7b (-94.3%)
| Inputs |
|---|
y |
(neg.f64 y) |
| Outputs |
|---|
y |
2 calls:
| 33.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 1 | x |
| 50.9% | 1 | y |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 8× | *-commutative |
| 4× | +-commutative |
| 4× | if-if-or-not |
| 2× | sub-neg |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 178 |
| 1 | 53 | 178 |
| 2 | 54 | 178 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(if (<=.f64 x -8800000000000000000) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 820000) (/.f64 (sinh.f64 y) 1) (-.f64 (+.f64 1 y) 1))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(if (<=.f64 x -6400000000000000000) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 820000) y (-.f64 (+.f64 1 y) 1))) |
y |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(if (<=.f64 x -8800000000000000000) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 820000) (/.f64 (sinh.f64 y) 1) (-.f64 (+.f64 1 y) 1))) |
(if (or (<=.f64 x -8800000000000000000) (not (<=.f64 x 820000))) (+.f64 (+.f64 y 1) -1) (sinh.f64 y)) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(if (<=.f64 x -6400000000000000000) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 820000) y (-.f64 (+.f64 1 y) 1))) |
(if (or (<=.f64 x -6400000000000000000) (not (<=.f64 x 820000))) (+.f64 (+.f64 y 1) -1) y) |
y |
Compiled 81 to 57 computations (29.6% 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 23 to 10 computations (56.5% saved)
Compiled 67 to 37 computations (44.8% saved)
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