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)
| 1.1s | 6933× | body | 256 | valid |
| 853.0ms | 2017× | body | 1024 | infinite |
| 304.0ms | 632× | body | 1024 | valid |
| 272.0ms | 990× | body | 512 | infinite |
| 240.0ms | 1626× | body | 256 | infinite |
| 174.0ms | 691× | body | 512 | 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)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 4 | 7 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 4 | 8 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 0.7b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| ▶ | 0.2b | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| ▶ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
Compiled 36 to 24 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sinh.f64 y) |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ✓ | 0.2b | (/.f64 (sin.f64 x) x) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | x | @ | inf | (/.f64 (sin.f64 x) x) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 1204× | associate-*r/ |
| 936× | *-commutative |
| 838× | associate-*l/ |
| 834× | associate-/r* |
| 700× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 37 |
| 1 | 187 | 37 |
| 2 | 2476 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(sinh.f64 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 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*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (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 (sin.f64 x)) (/.f64 x (*.f64 (sinh.f64 y) (sqrt.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 (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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (sinh.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (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)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))))) (#(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 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 y))))))) |
| 1× | egg-herbie |
| 1042× | associate-*r* |
| 1034× | times-frac |
| 1022× | associate-*l* |
| 854× | associate-/l/ |
| 764× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 590 | 7603 |
| 1 | 1531 | 7353 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.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)) |
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 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(*.f64 (sin.f64 x) (/.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)) x)) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.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 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 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))) (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))))) |
(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))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.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)) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 1 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (*.f64 (sinh.f64 y) 2))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (sinh.f64 y) (sqrt.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)))) |
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(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1 x)) 2) |
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(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
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(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
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(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2)) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y)))) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 x (*.f64 x -1/6)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/10080 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (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 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
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 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(/.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 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) 1) (cbrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2)) |
(sinh.f64 y) |
(*.f64 (sinh.f64 y) 1) |
(sinh.f64 y) |
(*.f64 1 (sinh.f64 y)) |
(sinh.f64 y) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(sinh.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(*.f64 (*.f64 (sinh.f64 y) 2) 1/2) |
(sinh.f64 y) |
(*.f64 1/2 (*.f64 (sinh.f64 y) 2)) |
(sinh.f64 y) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) |
(sinh.f64 y) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.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) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(/.f64 1 (/.f64 1 (sinh.f64 y))) |
(sinh.f64 y) |
(/.f64 (*.f64 (sinh.f64 y) 2) 2) |
(sinh.f64 y) |
(/.f64 2 (/.f64 2 (sinh.f64 y))) |
(sinh.f64 y) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (sinh.f64 y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (*.f64 (sinh.f64 y) 2)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) 2)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (fma.f64 2 (exp.f64 y) (/.f64 2 (exp.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 2) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y)))))) |
(/.f64 (*.f64 -2 (sinh.f64 y)) -2) |
(sinh.f64 y) |
(/.f64 (*.f64 (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) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) 1) -2) |
(sinh.f64 y) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.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)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y))))) 1/2) |
(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 (/.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) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.0b | (/.f64 (sinh.f64 y) x) |
| ✓ | 0.2b | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 0.0ms | y | @ | inf | (/.f64 (sinh.f64 y) x) |
| 0.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) x) |
| 0.0ms | x | @ | -inf | (/.f64 (sinh.f64 y) x) |
| 0.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) 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 | 32 |
| 1 | 187 | 32 |
| 2 | 2466 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) x) |
| Outputs |
|---|
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egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(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))))))) |
| 1× | egg-herbie |
| 936× | associate-/l* |
| 692× | distribute-rgt-in |
| 690× | distribute-lft-in |
| 602× | associate-/l/ |
| 586× | distribute-frac-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 6382 |
| 1 | 1179 | 6268 |
| 2 | 4851 | 6192 |
| 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)) |
(/.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)) |
(-.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)) |
(/.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))))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) 2) x)) 2) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) -1) (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)))) (cbrt.f64 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)) |
(/.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)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) -1) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 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))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 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))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (sin.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 1 (sinh.f64 y))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) -2) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) (sin.f64 x)) 2) |
(/.f64 (*.f64 -1 (sin.f64 x)) (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) 1) (cbrt.f64 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)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 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))) |
(/.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)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (pow.f64 x -1)) 2) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (cbrt.f64 (/.f64 x (sinh.f64 y))))) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) -1) x) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(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) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (sin.f64 x))) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) 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 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) 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)))) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) 1) |
(*.f64 (sinh.f64 y) (pow.f64 x -1)) |
(*.f64 (/.f64 (sinh.f64 y) x) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) x)) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (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 (pow.f64 x -1) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x))) |
(*.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))) |
| 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 (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 (pow.f64 y 7) (/.f64 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))))) |
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(/.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 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 -1 x) (neg.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(/.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 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (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 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (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 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.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 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.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 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) 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))))) |
(/.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))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))) |
(pow.f64 (/.f64 (sinh.f64 y) x) 1) |
(/.f64 (sinh.f64 y) x) |
(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) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x))) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1)) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x))) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x)))) |
(/.f64 (sinh.f64 y) x) |
(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))) |
(/.f64 (sinh.f64 y) x) |
(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) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.0b | (/.f64 x (sinh.f64 y)) |
| ✓ | 0.7b | (/.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)) |
| 1.0ms | y | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sinh.f64 y)) |
| 0.0ms | y | @ | 0 | (/.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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((#(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 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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)) |
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(/.f64 x (sinh.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2)) |
(pow.f64 (/.f64 x (sinh.f64 y)) 1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (/.f64 (sinh.f64 y) x) -1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2)) |
(fabs.f64 (/.f64 x (sinh.f64 y))) |
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | 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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| 1× | egg-herbie |
| 884× | distribute-rgt-in |
| 878× | distribute-lft-in |
| 700× | distribute-lft-neg-out |
| 690× | distribute-rgt-neg-out |
| 454× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 4153 |
| 1 | 855 | 4071 |
| 2 | 3843 | 3995 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x 1) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6)))) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 19335 to 6684 computations (65.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1208 | 9 | 1217 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 0 | 3 |
| Total | 1211 | 10 | 1221 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.0b | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| ▶ | 17.3b | (/.f64 (*.f64 y (sin.f64 x)) x) |
| 43.2b | (/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) | |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 30.3b | (/.f64 (sinh.f64 y) 1) |
| 2.1b | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 2.0b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ▶ | 0.9b | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x)) |
| ▶ | 1.5b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.5b | (*.f64 (/.f64 y x) (sin.f64 x)) |
Compiled 187 to 128 computations (31.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (sinh.f64 y)) |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.3b | (*.f64 (/.f64 1 (sinh.f64 y)) x) |
| ✓ | 0.7b | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x)) |
Compiled 28 to 14 computations (50% saved)
15 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 | @ | 0 | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x)) |
| 0.0ms | y | @ | 0 | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | y | @ | 0 | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x)) |
| 1× | batch-egg-rewrite |
| 1540× | associate-/l* |
| 1398× | associate-*l/ |
| 1086× | *-commutative |
| 544× | associate-/r/ |
| 342× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 227 | 43 |
| 2 | 2985 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x)) |
(*.f64 (/.f64 1 (sinh.f64 y)) x) |
(/.f64 1 (sinh.f64 y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (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 (sinh.f64 y) -1)))) (#(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 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)))) (#(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 (pow.f64 (/.f64 1 (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 log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 948× | distribute-rgt-in |
| 940× | distribute-lft-in |
| 556× | associate-*r* |
| 548× | *-commutative |
| 534× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 491 | 7228 |
| 1 | 1320 | 5826 |
| 2 | 4956 | 5730 |
| 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 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 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 1 y) |
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(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(pow.f64 (sinh.f64 y) -1) |
(pow.f64 (/.f64 1 (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3) |
(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 (pow.f64 (/.f64 1 (sinh.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) |
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -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 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(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 -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 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 (sin.f64 x) (/.f64 y x))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.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 (sin.f64 x) (/.f64 y 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 (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)))) |
(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 (pow.f64 y 3) x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (*.f64 (sin.f64 x) (/.f64 y 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 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (/.f64 x y))) |
(fma.f64 -1/6 (*.f64 y x) (fma.f64 -1 (*.f64 (pow.f64 y 3) (*.f64 x -7/360)) (/.f64 x y))) |
(fma.f64 -1/6 (*.f64 y x) (-.f64 (/.f64 x y) (*.f64 (pow.f64 y 3) (*.f64 x -7/360)))) |
(+.f64 (/.f64 x y) (*.f64 x (-.f64 (*.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3))))) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y)))) |
(fma.f64 -1/6 (*.f64 y x) (fma.f64 -1 (*.f64 (pow.f64 y 3) (*.f64 x -7/360)) (fma.f64 -1 (*.f64 (pow.f64 y 5) (fma.f64 -1/720 x (fma.f64 -1/6 (*.f64 x -7/360) (*.f64 x 1/5040)))) (/.f64 x y)))) |
(fma.f64 -1/6 (*.f64 y x) (-.f64 (-.f64 (/.f64 x y) (*.f64 (pow.f64 y 5) (fma.f64 x -1/720 (fma.f64 x 1/5040 (*.f64 x 7/2160))))) (*.f64 (pow.f64 y 3) (*.f64 x -7/360)))) |
(+.f64 (-.f64 (/.f64 x y) (*.f64 (pow.f64 y 5) (fma.f64 x -1/720 (*.f64 x 13/3780)))) (*.f64 x (-.f64 (*.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 y -1/6)) |
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(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 x x)))) |
(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)) |
(neg.f64 (/.f64 (neg.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(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 (/.f64 1 (sinh.f64 y)) 3) (pow.f64 x 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)) |
(-.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 (/.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 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.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 (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 -1 (/.f64 -1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 2 (/.f64 1 (*.f64 (sinh.f64 y) 2))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 -1 (sinh.f64 y)) -1) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 2 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 (/.f64 2 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 (/.f64 2 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2)))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y)))))) |
(/.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y -2)))))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (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 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(pow.f64 (sinh.f64 y) -1) |
(/.f64 1 (sinh.f64 y)) |
(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 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3) |
(/.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 (pow.f64 (/.f64 1 (sinh.f64 y)) 3)) |
(/.f64 1 (sinh.f64 y)) |
(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)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) |
Compiled 10 to 6 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.0ms | y | @ | 0 | (/.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))) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1792× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 169 | 17 |
| 2 | 2361 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 1400× | associate-*r/ |
| 950× | associate-*l/ |
| 804× | associate-/l* |
| 788× | associate-+l- |
| 714× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 1368 |
| 1 | 343 | 1332 |
| 2 | 1323 | 1332 |
| 3 | 6393 | 1332 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y) |
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 y (sin.f64 x)) |
| ✓ | 15.8b | (/.f64 (*.f64 y (sin.f64 x)) x) |
Compiled 16 to 5 computations (68.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 y (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y (sin.f64 x)) x) |
| 0.0ms | x | @ | inf | (*.f64 y (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 y (sin.f64 x)) |
| 0.0ms | y | @ | -inf | (*.f64 y (sin.f64 x)) |
| 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 y (sin.f64 x)) x) |
(*.f64 y (sin.f64 x)) |
| 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 y (*.f64 (sin.f64 x) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y x) (sin.f64 x)))))) (#(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 (sqrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))))) (#(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 (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 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (*.f64 y (sin.f64 x)))))) (#(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 y (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 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 y 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 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(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) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(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 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x)))))) (#(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 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 exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 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 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1526× | associate-*r/ |
| 1102× | associate-/l* |
| 1056× | unswap-sqr |
| 930× | associate-*l/ |
| 682× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 1371 |
| 1 | 423 | 1311 |
| 2 | 1749 | 1305 |
| 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 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1) |
(*.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1))) |
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1))) |
(*.f64 (*.f64 y (sin.f64 x)) (pow.f64 x -1)) |
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 1 (*.f64 (/.f64 y x) (sin.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1))) |
(*.f64 (pow.f64 x -1) (*.f64 y (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 y (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(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 y (sin.f64 x))) -1) |
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x))) |
(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)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1) |
(pow.f64 (*.f64 y (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 y (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (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 y (*.f64 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 -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 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(*.f64 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 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y (+.f64 x (*.f64 1/120 (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)))))) |
(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 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (*.f64 y (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 y (sin.f64 x)) (pow.f64 x -1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (*.f64 (/.f64 y x) (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.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 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 x -1) (*.f64 y (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (exp.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (*.f64 y (sin.f64 x)) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3) |
(*.f64 y (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 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 y (sin.f64 x))))) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3)) |
(*.f64 y (sin.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (sin.f64 x))) 1)) |
(*.f64 y (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 y (sin.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| 0.0b | (/.f64 x (sinh.f64 y)) | |
| ✓ | 0.2b | (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) |
| ✓ | 0.9b | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
Compiled 29 to 9 computations (69% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| 1.0ms | y | @ | inf | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| 1.0ms | y | @ | -inf | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| 1× | batch-egg-rewrite |
| 1860× | associate-/l* |
| 774× | swap-sqr |
| 762× | associate-/r/ |
| 528× | associate-/l/ |
| 468× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 237 | 42 |
| 2 | 3159 | 42 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) |
| Outputs |
|---|
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y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 936× | *-commutative |
| 906× | associate-*r/ |
| 808× | associate-*l/ |
| 798× | associate-/r/ |
| 718× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 666 | 11466 |
| 1 | 1919 | 9786 |
| 2 | 7059 | 9786 |
| 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 (*.f64 (+.f64 (*.f64 7/720 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/72 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4))) (*.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 (*.f64 (+.f64 (*.f64 7/720 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/72 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 31/30240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -7/4320 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/6 (+.f64 (*.f64 7/720 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/72 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) (pow.f64 x 6)))))) |
(*.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)) |
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(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 1 (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 x (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 x))) |
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (+.f64 x x))) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 x (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) 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 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (cbrt.f64 (/.f64 (sinh.f64 y) x))) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (+.f64 x x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 -1 (sinh.f64 y))) |
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (cbrt.f64 (sin.f64 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))))) |
(/.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) -1/4) (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) -1/4))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (sin.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) x))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sin.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (/.f64 x (sinh.f64 y)) -1) (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) -1))) |
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) -1) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) -1))) |
(/.f64 (pow.f64 (/.f64 x (sinh.f64 y)) -1/2) (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (pow.f64 (/.f64 1 (sin.f64 x)) -1/2))) |
(/.f64 (pow.f64 1 -1/2) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) -1/2) (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) -1/2))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) -1/2) (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) -1/2))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 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 (sin.f64 x) 3) (pow.f64 (/.f64 x (sinh.f64 y)) 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)))) |
(exp.f64 (-.f64 (log.f64 (sin.f64 x)) (log.f64 (/.f64 x (sinh.f64 y))))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) 1) |
(*.f64 x (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 x (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 x (sinh.f64 y)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 1) |
(*.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 x (neg.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 x 1) (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))) x) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (/.f64 x (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y)))) 2) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))) (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (+.f64 x x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) -2) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 1) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) -1) |
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3) 1/3) |
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(neg.f64 (/.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
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(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(*.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 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (+.f64 x x)) |
(*.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 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.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 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) 1) (/.f64 2 (*.f64 2 (sinh.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 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 2 (sinh.f64 y))) 2) |
(*.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 (/.f64 (*.f64 x (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) -2) |
(*.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 (/.f64 (*.f64 (neg.f64 x) (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 2 (*.f64 (/.f64 (neg.f64 x) -2) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y)) -1) |
(*.f64 (/.f64 (/.f64 x (sin.f64 x)) 1) (/.f64 2 (*.f64 2 (sinh.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 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 2 (sinh.f64 y))) 2) |
(*.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 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) -2) |
(*.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))) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 1) |
(*.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))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) -1) |
(*.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))) |
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) |
(*.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))) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) 3) |
(*.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))) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3) 1/3) |
(*.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))) |
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.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))) |
(neg.f64 (/.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) 1)) |
(*.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))) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) |
(fabs.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(log.f64 (exp.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.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))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))) |
(*.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))) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) 3)) |
(*.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))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3))) |
(*.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))) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.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))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.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))) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.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))) |
Compiled 19394 to 7619 computations (60.7% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1157 | 10 | 1167 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1159 | 18 | 1177 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.0b | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| ✓ | 17.3b | (/.f64 (*.f64 y (sin.f64 x)) x) |
| ▶ | 46.6b | (/.f64 (*.f64 y x) x) |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 30.3b | (/.f64 (sinh.f64 y) 1) |
| ▶ | 2.1b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 2.0b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| 2.2b | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) | |
| 2.2b | (/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) | |
| ✓ | 1.5b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 1.6b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ▶ | 32.0b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 32.0b | (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) | |
| 1.5b | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| ▶ | 0.2b | (*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
| 17.3b | (*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) | |
| 1.5b | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) | |
| 30.8b | y |
Compiled 301 to 205 computations (31.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
| ✓ | 0.1b | (/.f64 1 (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) |
| ✓ | 0.2b | (*.f64 x (/.f64 1 (sin.f64 x))) |
Compiled 38 to 21 computations (44.7% saved)
15 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 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 980× | associate-/l* |
| 966× | unswap-sqr |
| 794× | swap-sqr |
| 640× | associate-/r/ |
| 454× | sqr-pow |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 60 |
| 1 | 248 | 54 |
| 2 | 3160 | 54 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 1 (sin.f64 x))) |
(/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
| 1× | egg-herbie |
| 940× | associate-/l* |
| 838× | associate-*r* |
| 774× | times-frac |
| 770× | associate-/r* |
| 706× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 611 | 7362 |
| 1 | 1625 | 7044 |
| 2 | 7665 | 7044 |
| 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)) |
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 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) 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 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)) |
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(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 x))))) |
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
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(/.f64 (neg.f64 (neg.f64 x)) (sin.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) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(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 (/.f64 1 (sin.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.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)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
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(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
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(*.f64 (*.f64 (/.f64 -1 x) (sin.f64 x)) -1) |
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(*.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)))) |
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(*.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)))) |
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(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) |
(neg.f64 (*.f64 (/.f64 -1 x) (sin.f64 x))) |
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(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 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)) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) -1)) |
(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 (sin.f64 x)))) 1) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
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(*.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)))) |
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))))) (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/6)) |
(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 (pow.f64 (/.f64 1 (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 (pow.f64 (/.f64 1 (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1)) |
(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 (/.f64 x (sin.f64 x)) (sinh.f64 y))) |
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) |
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y)))) |
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) 1/2)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 2 (/.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 1)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 1 x))) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x))) -1)) |
(/.f64 2 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sinh.f64 y))) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))) |
(/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 1 (sin.f64 x)) 2)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 x)) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2)) |
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (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) |
(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 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) 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)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1)) |
(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)) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) -1/6)) |
(fma.f64 (*.f64 x x) -1/6 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120))) |
(+.f64 (fma.f64 (*.f64 x x) -1/6 1) (*.f64 (pow.f64 x 4) 1/120)) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120)))) |
(+.f64 (fma.f64 (*.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) 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 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 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/10080 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (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 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.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) (exp.f64 (neg.f64 y)))) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 1/2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(/.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))))) |
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(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 x (sin.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 x (sin.f64 x)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 x (sin.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 x (sin.f64 x)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (/.f64 (/.f64 1 x) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 x)) (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 x (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (sin.f64 x) 3)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.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))) |
(/.f64 x (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1)) |
(/.f64 x (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
(/.f64 (sin.f64 x) x) |
(*.f64 -1 (*.f64 (/.f64 -1 x) (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (*.f64 (/.f64 -1 x) (sin.f64 x)) -1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.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 (sin.f64 x) x) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (/.f64 1 (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 1 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(/.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) x)) 1) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) x)) -1) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 -1 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (cbrt.f64 (neg.f64 (sin.f64 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 (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 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) |
(*.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 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (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 (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 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) |
(*.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) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(/.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) |
(neg.f64 (*.f64 (/.f64 -1 x) (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(neg.f64 (/.f64 (/.f64 1 x) (/.f64 -1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) x) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 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) |
(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 x (sin.f64 x))) -1)) |
(/.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 (sin.f64 x)))) 1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2)) |
(/.f64 1 (sin.f64 x)) |
(*.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)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.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)) (cbrt.f64 (sin.f64 x))) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) -1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)) |
(pow.f64 (sqrt.f64 (sin.f64 x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))) (/.f64 1 (cbrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))) (/.f64 1 (cbrt.f64 (sin.f64 x))))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))) (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -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)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))))) (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 x)))))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) -1/2)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3/2)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/6)) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (sin.f64 x) -1) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3) |
(/.f64 1 (sin.f64 x)) |
(sqrt.f64 (pow.f64 (sin.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x))))) |
(/.f64 1 (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3)) |
(/.f64 1 (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1)) |
(/.f64 1 (sin.f64 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1)) |
(/.f64 1 (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 1 (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 1 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 1 (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sin.f64 x))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2) (*.f64 2 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) 1/2)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 2 (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) 1)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 1 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x))) -1)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 2 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2))) |
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2) (/.f64 (sin.f64 x) x))) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 x (*.f64 (sqrt.f64 (sinh.f64 y)) (sin.f64 x))) (sqrt.f64 2))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sin.f64 x))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (/.f64 x (*.f64 (sqrt.f64 (sinh.f64 y)) (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sqrt.f64 (sinh.f64 y)))) (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sin.f64 x))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (*.f64 (sqrt.f64 (sinh.f64 y)) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sinh.f64 y))) (/.f64 x (sin.f64 x))) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (fabs.f64 (cbrt.f64 (sinh.f64 y))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sinh.f64 y))) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (/.f64 (*.f64 2 x) (sin.f64 x)) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (/.f64 (*.f64 x (/.f64 2 (sin.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 2 x) (sin.f64 x))) (/.f64 (*.f64 2 (sinh.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) 2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 (/.f64 (*.f64 2 x) (sin.f64 x)) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 x (/.f64 2 (sin.f64 x)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (exp.f64 (+.f64 y y))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 x (/.f64 2 (sin.f64 x)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (+.f64 (neg.f64 y) (neg.f64 y)))))) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 2 (sinh.f64 y))) (*.f64 (/.f64 1 (sin.f64 x)) 2)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 x)) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 2)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(*.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 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3))) |
(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)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1)) |
(*.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 error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| ✓ | 0.3b | (*.f64 -1/6 y) |
| ✓ | 6.1b | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
Compiled 27 to 13 computations (51.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 954× | *-commutative |
| 824× | unswap-sqr |
| 586× | swap-sqr |
| 472× | distribute-lft-in |
| 464× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 1 | 194 | 47 |
| 2 | 2593 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 y) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (exp.f64 (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change 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(cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 y) (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -1/6 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 y x)) x y))))) |
| 1× | egg-herbie |
| 1670× | associate-/r* |
| 1410× | associate-*r/ |
| 1128× | associate-*l/ |
| 456× | associate-*r* |
| 438× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 313 | 7667 |
| 1 | 829 | 7261 |
| 2 | 3664 | 7261 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) 1) |
(pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) |
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.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)) |
(log.f64 (+.f64 1 (expm1.f64 (*.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))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 y))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) (-.f64 1 y)) |
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(-.f64 (+.f64 y (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (exp.f64 (log1p.f64 y))) 1) |
(*.f64 y (+.f64 1 (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 y (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)) |
(*.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1) |
(*.f64 1 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(*.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) |
(*.f64 (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (+.f64 (*.f64 y y) (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) 2))) (+.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 y 1/6)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (+.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) 3))) (+.f64 (pow.f64 y 4) (*.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) (-.f64 (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) (*.f64 y y))))) |
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) y) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) (*.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/6)) |
(/.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 1 (/.f64 1 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) |
(/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))))) |
(/.f64 (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))) (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) |
(/.f64 (-.f64 (pow.f64 y 6) (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 6)) (*.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))) |
(/.f64 (-.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (*.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 3)) (*.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))) (+.f64 (pow.f64 y 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) 3)) (*.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))) (+.f64 (+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 2)))) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y)) 1) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) 1) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) 1) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y))))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2)) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4) 3)) (/.f64 1 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) (+.f64 (+.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 8) (*.f64 1/1296 (pow.f64 y 4)))) (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y 6) (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) 6)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (+.f64 (pow.f64 y 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3))))) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) 1) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (*.f64 (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) 1) (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/3) |
(neg.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 (*.f64 -1/6 y) (*.f64 x x) y) |
(fma.f64 (*.f64 x x) (*.f64 -1/6 y) y) |
(fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 (*.f64 -1/6 (*.f64 y x)) x y) |
| Outputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (*.f64 y x) x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 x 2)) 1) y)) |
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(/.f64 (+.f64 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) 3)) (*.f64 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))) (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (pow.f64 y 6)))) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) 1) (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) |
(*.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (/.f64 1 (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 y 1/6)) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (*.f64 (*.f64 y x) 1/6) y)) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(*.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (/.f64 1 (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 y 1/6)) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (*.f64 (*.f64 y x) 1/6) y)) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (*.f64 (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6))))) |
(*.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (/.f64 1 (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 y 1/6)) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (*.f64 (*.f64 y x) 1/6) y)) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))))) |
(/.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (fma.f64 x (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) 1) (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) (sqrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (*.f64 (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) (cbrt.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y))))) |
(pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 1) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 2) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) 3) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3) 1/3) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(neg.f64 (/.f64 (fma.f64 y y (*.f64 -1/36 (*.f64 (pow.f64 x 4) (*.f64 y y)))) (neg.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 y 1/6)))))) |
(*.f64 (fma.f64 y y (*.f64 (*.f64 -1/36 (pow.f64 x 4)) (*.f64 y y))) (/.f64 1 (+.f64 y (*.f64 x (*.f64 x (*.f64 y 1/6)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 -1/36 (pow.f64 x 4)) 1) (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 y 1/6)) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 x 4))) (*.f64 y y)) (fma.f64 x (*.f64 (*.f64 y x) 1/6) y)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6)) (neg.f64 (fma.f64 y y (*.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (/.f64 1 (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 (*.f64 y x) x) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) (neg.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 6) (pow.f64 y 3)) (fma.f64 y y (*.f64 -1/6 (*.f64 (*.f64 y (*.f64 x x)) (-.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y))))) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y) 2)) |
(fabs.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) 1))) |
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) 3)) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(exp.f64 (log.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 -1/6 y) (*.f64 x x) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 x x) (*.f64 -1/6 y) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 1 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 x x))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 x x)))) y) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 -1/6 (*.f64 (*.f64 y x) x))) y) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 4)) (cbrt.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 (*.f64 -1/6 (*.f64 y x)) x y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 (sin.f64 x) (/.f64 x y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | x | @ | inf | (/.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.1b | (/.f64 1 (sin.f64 x)) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 (sin.f64 x)) x) |
Compiled 25 to 13 computations (48% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (sin.f64 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (sin.f64 x)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (sin.f64 x)) x) |
| 0.0ms | y | @ | -inf | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 1× | batch-egg-rewrite |
| 1472× | associate-/l* |
| 1462× | associate-*r/ |
| 996× | associate-*l/ |
| 974× | *-commutative |
| 444× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 203 | 28 |
| 2 | 2646 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(/.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 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(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) (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 (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 (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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) 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 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) 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 (cbrt.f64 (*.f64 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(sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (/.f64 x 1)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (/.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 y 1) (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) -1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.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 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 (/.f64 x (sin.f64 x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x)))))) (#(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 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 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 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 log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1186× | unswap-sqr |
| 498× | associate-/l* |
| 438× | distribute-rgt-in |
| 430× | distribute-lft-in |
| 412× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 365 | 3437 |
| 1 | 946 | 3377 |
| 2 | 3447 | 3373 |
| 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 (*.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 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 (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 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 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)))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (/.f64 x 1) (sin.f64 x)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (/.f64 x (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 1 (/.f64 x 1)) (sin.f64 x)) |
(/.f64 (*.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) 1) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) x) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (cbrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 x 1) 1) (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) (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 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.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 x) (sin.f64 x)) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.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 y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 (/.f64 (sqrt.f64 y) 1) (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 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.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) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (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 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (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 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) x) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.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 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 (/.f64 x (sin.f64 x)) y) -1) |
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.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 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(fma.f64 -1/6 (*.f64 (*.f64 x x) y) y) |
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))) |
(fma.f64 (*.f64 y 1/120) (pow.f64 x 4) (fma.f64 -1/6 (*.f64 (*.f64 x x) y) y)) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 (*.f64 y 1/120) (pow.f64 x 4) (fma.f64 -1/6 (*.f64 (*.f64 x x) y) y))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) -1/2) 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.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 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) x)) |
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
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(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
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(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
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(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
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(/.f64 x (sin.f64 x)) |
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(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) 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 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (pow.f64 (sin.f64 x) -1/2) x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 x (pow.f64 (sin.f64 x) -1/2)))) |
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.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 y (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) y) -1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Compiled 16497 to 7736 computations (53.1% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 905 | 8 | 913 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 906 | 25 | 931 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.0b | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| ✓ | 17.3b | (/.f64 (*.f64 y (sin.f64 x)) x) |
| ✓ | 46.6b | (/.f64 (*.f64 y x) x) |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 30.3b | (/.f64 (sinh.f64 y) 1) |
| ✓ | 2.1b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 2.0b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ▶ | 2.2b | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) |
| 2.2b | (/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) | |
| ✓ | 1.5b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | 1.6b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 30.9b | (/.f64 y (*.f64 (/.f64 1 x) x)) | |
| ▶ | 16.1b | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
| 45.1b | (-.f64 (+.f64 1 y) 1) | |
| ✓ | 32.0b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 32.0b | (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) | |
| 1.5b | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| ▶ | 17.1b | (*.f64 (/.f64 y x) x) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
| 17.3b | (*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) | |
| ▶ | 46.6b | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| ▶ | 1.5b | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| 17.2b | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| 42.6b | (sqrt.f64 (*.f64 y y)) | |
| 30.8b | y |
Compiled 372 to 254 computations (31.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| 0.1b | (/.f64 x (sin.f64 x)) | |
| ✓ | 0.2b | (/.f64 1 (/.f64 x (sin.f64 x))) |
Compiled 25 to 10 computations (60% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| 0.0ms | y | @ | 0 | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| 0.0ms | y | @ | -inf | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| 0.0ms | y | @ | inf | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1492× | associate-/r* |
| 1326× | associate-*r/ |
| 968× | *-commutative |
| 952× | associate-/l* |
| 938× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 205 | 28 |
| 2 | 2620 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) 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#<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 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 log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1180× | associate-/l* |
| 884× | distribute-rgt-in |
| 872× | distribute-lft-in |
| 820× | associate-/l/ |
| 554× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 523 | 6308 |
| 1 | 1392 | 6086 |
| 2 | 5959 | 6086 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (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) |
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 (sin.f64 x) x))) 1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 -1 (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) -1)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (neg.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 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(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) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 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)) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (-.f64 (log.f64 (sin.f64 x)) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(/.f64 (sqrt.f64 y) (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x)))) |
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (cbrt.f64 (sqrt.f64 y)))) |
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))) (cbrt.f64 y))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)) |
(/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (sqrt.f64 (sqrt.f64 y)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (sqrt.f64 (cbrt.f64 y)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))) (sqrt.f64 (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 (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 y (cbrt.f64 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (*.f64 y -1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 y 1) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 y (neg.f64 x)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 y 1) (sin.f64 x)) x) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 1 (*.f64 y -1)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 1 (/.f64 y 1)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 1 (/.f64 y x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 1 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 1 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 y (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 y (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 y (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) 1) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) -1) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y 1) 1) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 y 1) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y 1) (/.f64 1 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 y 1) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y 1) -1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) 1) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) -1) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sqrt.f64 y)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (sqrt.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (cbrt.f64 y)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (cbrt.f64 y)) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) y) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) y) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 y -1) 1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 y) 1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) y)) x) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) y)) (/.f64 x 1)) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (sin.f64 x) y)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sin.f64 x) y)) (cbrt.f64 x)) |
(/.f64 (*.f64 1 (*.f64 (/.f64 y 1) (sin.f64 x))) x) |
(/.f64 (*.f64 1 (*.f64 (/.f64 y 1) (sin.f64 x))) (/.f64 x 1)) |
(/.f64 (*.f64 -1 (*.f64 (/.f64 y 1) (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 y 1) (sin.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 y 1) (sin.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 1 (*.f64 y (cbrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x))) x) |
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 (cbrt.f64 y) 1) (sin.f64 x))) x) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 y (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 y (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 y (/.f64 (sqrt.f64 x) 1)) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 y (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y -1) 1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 y -1) x) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y -1) (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 y -1) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 y -1) -1) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 y -1) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y -1) (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y -1) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y -1) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y 1) 1) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (sqrt.f64 x) 1)) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y x) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y x) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x))))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (neg.f64 y) 1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 y) -1) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 y) (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 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) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 (*.f64 -1/6 x) x))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (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 -1/6 (*.f64 (*.f64 x x) y))) |
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 -1 (neg.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(/.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 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -1)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x))))) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(/.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) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 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) |
(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 (sin.f64 x)) (log.f64 x))) |
(/.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 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sqrt.f64 y) (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 y) (/.f64 x (sqrt.f64 y))) (sin.f64 x))) |
(/.f64 (cbrt.f64 y) (/.f64 (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))) (cbrt.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 -1 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (sqrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 y)))) (sqrt.f64 (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (sqrt.f64 (sqrt.f64 y)) (/.f64 (/.f64 x (sqrt.f64 y)) (sin.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) (sin.f64 x))) (sqrt.f64 (cbrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 y))) |
(*.f64 (sqrt.f64 (cbrt.f64 y)) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 y)) x) (*.f64 (sin.f64 x) (sqrt.f64 y)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (fabs.f64 (cbrt.f64 y)) x) (*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (fabs.f64 (cbrt.f64 y)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (/.f64 x (*.f64 (cbrt.f64 y) (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (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 x (*.f64 (sin.f64 x) (cbrt.f64 y))))) |
(/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) y)) |
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(/.f64 (/.f64 y (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))))) |
(/.f64 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (/.f64 (*.f64 y -1) 1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y -1) x) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y -1) (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 y -1) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y -1) -1) (/.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y -1) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y -1) (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y -1) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 y -1) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y 1) 1) (/.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 y (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (sqrt.f64 x) 1)) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(/.f64 y (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))))) |
(/.f64 (/.f64 (/.f64 y 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(/.f64 (/.f64 (/.f64 y x) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y x) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (/.f64 1 (sin.f64 x))))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) y)) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (/.f64 y (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(/.f64 y (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (fabs.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 y (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) y)) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 x))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 (sin.f64 x))))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(/.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 y (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(/.f64 (/.f64 (neg.f64 y) 1) (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 y) -1) (/.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 y) (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 y x))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 14.2b | (*.f64 (/.f64 y x) x) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y x) x) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 y x) x) |
| 0.0ms | y | @ | -inf | (*.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 |
| 1394× | add-sqr-sqrt |
| 1382× | *-un-lft-identity |
| 1286× | add-cube-cbrt |
| 1264× | add-cbrt-cube |
| 1252× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 126 | 13 |
| 2 | 1698 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1154× | associate-*r* |
| 1070× | times-frac |
| 960× | associate-*l* |
| 816× | associate-+l+ |
| 764× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 46 |
| 1 | 140 | 46 |
| 2 | 576 | 46 |
| 3 | 6081 | 46 |
| 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 (*.f64 x (/.f64 y x))) 1) |
(/.f64 y (/.f64 x x)) |
(/.f64 x (/.f64 x y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 (*.f64 y x) x) |
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 y x) 1) x) |
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 x)) |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
| 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 (*.f64 x (/.f64 y x))) 1) |
y |
(/.f64 y (/.f64 x x)) |
y |
(/.f64 x (/.f64 x y)) |
y |
(/.f64 1 (/.f64 x (*.f64 y x))) |
y |
(/.f64 (*.f64 y x) x) |
y |
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 x)) |
y |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 y x) 1) x) |
y |
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
y |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 x)) |
y |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
y |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
y |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
y |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
y |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
y |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x)) |
y |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
y |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
y |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
y |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 16.0b | (*.f64 (/.f64 1 x) (*.f64 y x)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1556× | add-sqr-sqrt |
| 1540× | *-un-lft-identity |
| 1432× | add-cube-cbrt |
| 1406× | add-cbrt-cube |
| 1390× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 160 | 13 |
| 2 | 1967 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1274× | associate-*l* |
| 1022× | times-frac |
| 888× | associate-+l+ |
| 884× | associate-/l* |
| 846× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 48 |
| 1 | 153 | 48 |
| 2 | 651 | 48 |
| 3 | 6126 | 48 |
| 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 (*.f64 x (/.f64 y x))) 1) |
(/.f64 1 (/.f64 x (*.f64 x y))) |
(/.f64 x (/.f64 x y)) |
(/.f64 y (/.f64 x x)) |
(/.f64 (*.f64 x y) x) |
(/.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y)))) |
(/.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x)) |
(/.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x y) 1) x) |
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 x)) |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
(log.f64 (exp.f64 (*.f64 x (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
| 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 (*.f64 x (/.f64 y x))) 1) |
y |
(/.f64 1 (/.f64 x (*.f64 x y))) |
y |
(/.f64 x (/.f64 x y)) |
y |
(/.f64 y (/.f64 x x)) |
y |
(/.f64 (*.f64 x y) x) |
y |
(/.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y)))) |
y |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y)))) |
y |
(/.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x)) |
y |
(/.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 x y) 1) x) |
y |
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
y |
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 x)) |
y |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
y |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
y |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
y |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
y |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
y |
(log.f64 (exp.f64 (*.f64 x (/.f64 y x)))) |
y |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
y |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
y |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
y |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
| ✓ | 0.1b | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
| ✓ | 0.2b | (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x) |
| ✓ | 0.3b | (*.f64 1/6 x) |
Compiled 39 to 26 computations (33.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
| 1.0ms | y | @ | inf | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
| 0.0ms | y | @ | -inf | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
| 1× | batch-egg-rewrite |
| 1410× | associate-/l* |
| 794× | swap-sqr |
| 636× | distribute-rgt-in |
| 606× | distribute-lft-in |
| 528× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 70 |
| 1 | 239 | 70 |
| 2 | 3243 | 70 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 x) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x))))))) |
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (*.f64 x x)) (fma.f64 1/6 x (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/6 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 x) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 1/6 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))))) 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x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x)))))) |
| 1× | egg-herbie |
| 812× | associate-*r* |
| 762× | associate-/r* |
| 704× | +-commutative |
| 664× | associate-*l* |
| 610× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 6852 |
| 1 | 1365 | 6508 |
| 2 | 7078 | 6504 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/216 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(*.f64 6 (/.f64 y (pow.f64 x 2))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(*.f64 6 (/.f64 y (pow.f64 x 2))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(/.f64 1 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1) |
(pow.f64 (*.f64 1/6 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3) |
(sqrt.f64 (*.f64 1/36 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 1/6) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x)))) |
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 x))) |
(exp.f64 (log.f64 (*.f64 1/6 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 x))) |
(+.f64 (*.f64 (*.f64 1/6 x) x) (*.f64 (/.f64 1 x) x)) |
(+.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (/.f64 1 x))) |
(+.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (*.f64 1/6 x))) |
(+.f64 (*.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/6 x) x)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 1/6 x) x)) (*.f64 1 (*.f64 (/.f64 1 x) x))) |
(+.f64 (*.f64 1 (*.f64 (/.f64 1 x) x)) (*.f64 1 (*.f64 (*.f64 1/6 x) x))) |
(+.f64 (*.f64 1 (*.f64 x (*.f64 1/6 x))) (*.f64 1 (*.f64 x (/.f64 1 x)))) |
(+.f64 (*.f64 1 (*.f64 x (/.f64 1 x))) (*.f64 1 (*.f64 x (*.f64 1/6 x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 1/6 x) x) 1) (*.f64 (*.f64 (/.f64 1 x) x) 1)) |
(+.f64 (*.f64 (*.f64 (/.f64 1 x) x) 1) (*.f64 (*.f64 (*.f64 1/6 x) x) 1)) |
(+.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) 1) (*.f64 (*.f64 x (/.f64 1 x)) 1)) |
(+.f64 (*.f64 (*.f64 x (/.f64 1 x)) 1) (*.f64 (*.f64 x (*.f64 1/6 x)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))) 1) |
(/.f64 x (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) |
(/.f64 1 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 1 x)) |
(/.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))) 1) |
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x))) |
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))) |
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x))) |
(/.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (fma.f64 1/6 x (/.f64 1 x))))) |
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(/.f64 (+.f64 (pow.f64 x -2) (*.f64 -1/36 (*.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (pow.f64 x -2))) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 1/6 x) 3) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (+.f64 (*.f64 1/46656 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 1/6 x) 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))) |
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x))))))) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x)) |
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (*.f64 x x)) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 1 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
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 x (*.f64 x y)) y) |
(+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)) |
(+.f64 (*.f64 -1/216 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/216 (*.f64 y (pow.f64 x 6)) (fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/216 (*.f64 y (pow.f64 x 6)) (fma.f64 1/36 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y))) |
(*.f64 6 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 6 y) (*.f64 x x)) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(fma.f64 6 (/.f64 y (*.f64 x x)) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(fma.f64 6 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y -36) (pow.f64 x 4))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4)))) |
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4))))) |
(*.f64 6 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 6 y) (*.f64 x x)) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(fma.f64 6 (/.f64 y (*.f64 x x)) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(fma.f64 6 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y -36) (pow.f64 x 4))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4)))) |
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 y (*.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4))))) |
(/.f64 1 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1) |
(*.f64 1/6 x) |
(pow.f64 (*.f64 1/6 x) 1) |
(*.f64 1/6 x) |
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2) |
(*.f64 1/6 x) |
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3) |
(*.f64 1/6 x) |
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3) |
(*.f64 1/6 x) |
(sqrt.f64 (*.f64 1/36 (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/36)) |
(sqrt.f64 (*.f64 x (*.f64 x 1/36))) |
(log.f64 (pow.f64 (exp.f64 1/6) x)) |
(*.f64 1/6 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x)))) |
(*.f64 1/6 x) |
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)) |
(*.f64 1/6 x) |
(expm1.f64 (log1p.f64 (*.f64 1/6 x))) |
(*.f64 1/6 x) |
(exp.f64 (log.f64 (*.f64 1/6 x))) |
(*.f64 1/6 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1)) |
(*.f64 1/6 x) |
(log1p.f64 (expm1.f64 (*.f64 1/6 x))) |
(*.f64 1/6 x) |
(+.f64 (*.f64 (*.f64 1/6 x) x) (*.f64 (/.f64 1 x) x)) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 x (*.f64 1/6 x)) (*.f64 x (/.f64 1 x))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (*.f64 1/6 x))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/6 x) x)) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 1 (*.f64 (*.f64 1/6 x) x)) (*.f64 1 (*.f64 (/.f64 1 x) x))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 1 (*.f64 (/.f64 1 x) x)) (*.f64 1 (*.f64 (*.f64 1/6 x) x))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 1 (*.f64 x (*.f64 1/6 x))) (*.f64 1 (*.f64 x (/.f64 1 x)))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 1 (*.f64 x (/.f64 1 x))) (*.f64 1 (*.f64 x (*.f64 1/6 x)))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 (*.f64 (*.f64 1/6 x) x) 1) (*.f64 (*.f64 (/.f64 1 x) x) 1)) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 (*.f64 (/.f64 1 x) x) 1) (*.f64 (*.f64 (*.f64 1/6 x) x) 1)) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) 1) (*.f64 (*.f64 x (/.f64 1 x)) 1)) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(+.f64 (*.f64 (*.f64 x (/.f64 1 x)) 1) (*.f64 (*.f64 x (*.f64 1/6 x)) 1)) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 x (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 1 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 1 x)) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (fma.f64 1/6 x (/.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (fma.f64 1/6 x (/.f64 1 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x))) x) |
(*.f64 x (/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (*.f64 x -1/6) (/.f64 -1 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) x)) |
(*.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) x) |
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 1/216 (pow.f64 x 4))) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))) |
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(fma.f64 1/6 (*.f64 x x) 1) |
(fma.f64 x (*.f64 1/6 x) 1) |
(/.f64 (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x)) (pow.f64 x -1/2)) |
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x))) |
(*.f64 (/.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 x -1/2)) (sqrt.f64 x)) |
(/.f64 (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 x) (*.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 x (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (fma.f64 1/6 x (/.f64 -1 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x))) x) |
(*.f64 x (/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (*.f64 x -1/6) (/.f64 -1 x)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) x) |
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 1/216 (pow.f64 x 4))) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) x) (fma.f64 1/6 x (/.f64 -1 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x))) x) |
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(*.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (fma.f64 1/6 x (/.f64 -1 x)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)))) (/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) |
(*.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (/.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (/.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)) (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)))) (fma.f64 1/6 x (/.f64 -1 x))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2)))))) |
(/.f64 (-.f64 (*.f64 1/46656 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (pow.f64 x -3))) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (-.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/46656) (pow.f64 x -6)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))))) (-.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/6 x) 6) (pow.f64 x -6)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))) (-.f64 (*.f64 (pow.f64 x 3) 1/216) (pow.f64 x -3))) |
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 -1/36 (*.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) -1/36)) (+.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (pow.f64 x -2))) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/1296) (pow.f64 x -4)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 1/36 (*.f64 x x) (pow.f64 x -2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/1296) (pow.f64 x -4)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 (*.f64 x x) 1/36 (pow.f64 x -2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 1/6 x) 3) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (+.f64 (*.f64 1/46656 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 1/6 x) 3)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/216 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))))) (fma.f64 1/46656 (pow.f64 x 6) (*.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 1/216 (pow.f64 x 3))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/216) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)) (fma.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 1/216)) (pow.f64 (*.f64 1/6 x) 6)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/36 (*.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) x) 1/1296) (*.f64 (pow.f64 x -2) (+.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 1/46656 (pow.f64 (*.f64 x x) 3)) (pow.f64 (pow.f64 x -2) 3)) (fma.f64 1/6 x (/.f64 -1 x))) (fma.f64 (pow.f64 x 4) 1/1296 (*.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) (pow.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/6 x) 6) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 (pow.f64 x -2) (fma.f64 (*.f64 x x) 1/36 (pow.f64 x -2)) (*.f64 (pow.f64 x 4) 1/1296)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (*.f64 x -1/6) (/.f64 -1 x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))) |
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(fma.f64 1/6 x (/.f64 1 x)) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) |
(fma.f64 1/6 x (/.f64 1 x)) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3) |
(fma.f64 1/6 x (/.f64 1 x)) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3) |
(fma.f64 1/6 x (/.f64 1 x)) |
(neg.f64 (/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (*.f64 x -1/6) (/.f64 -1 x))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (*.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x))))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (*.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2)) |
(fabs.f64 (fma.f64 1/6 x (/.f64 1 x))) |
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 1/6 x (/.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(fma.f64 1/6 x (/.f64 1 x)) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 1/6 x (/.f64 1 x)) |
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 1/6 x (/.f64 1 x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 1 y) x) |
| ✓ | 0.7b | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) |
Compiled 23 to 13 computations (43.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (*.f64 (/.f64 1 y) x) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 1 y) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 y) x) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 y) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 y) x) |
| 1× | batch-egg-rewrite |
| 1474× | associate-/l* |
| 1460× | associate-*r/ |
| 992× | associate-*l/ |
| 966× | *-commutative |
| 438× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 203 | 24 |
| 2 | 2646 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) |
(*.f64 (/.f64 1 y) x) |
| 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 1 (*.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 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.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 (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 (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 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x y))))))) |
| 1× | egg-herbie |
| 1056× | *-commutative |
| 898× | unswap-sqr |
| 488× | associate-/l* |
| 458× | log-prod |
| 388× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 3057 |
| 1 | 930 | 3001 |
| 2 | 3345 | 2997 |
| 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 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 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 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.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 (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))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) 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) x) y) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (/.f64 1 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 1 (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) 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 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 y)) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 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 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (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 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y -1/2)) (sqrt.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 x)) (sqrt.f64 y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) x) y) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) y) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 x)) (cbrt.f64 y)) |
(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 (/.f64 (sin.f64 x) (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)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) 1) |
(/.f64 x y) |
(/.f64 1 (/.f64 y x)) |
(/.f64 1 (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 1 y) (/.f64 1 x)) |
(/.f64 (/.f64 x y) 1) |
(/.f64 (pow.f64 y -1/2) (/.f64 1 (/.f64 x (sqrt.f64 y)))) |
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 1 (sqrt.f64 (/.f64 x y)))) |
(/.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 y (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (/.f64 x (cbrt.f64 y)))) |
(/.f64 (cbrt.f64 (/.f64 x y)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 1 (cbrt.f64 (/.f64 x y)))) |
(/.f64 (cbrt.f64 x) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 y (cbrt.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 y) x)) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 y (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (/.f64 1 (cbrt.f64 y)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 1 (cbrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 x 1) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (/.f64 x (cbrt.f64 y)))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 y (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 y)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 y (cbrt.f64 x))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 y)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 (/.f64 x y)))) |
(/.f64 (*.f64 x (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 x 1)) y) |
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 x)) (cbrt.f64 y)) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 x)) (cbrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (cbrt.f64 x)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x)) (cbrt.f64 y)) |
(/.f64 (*.f64 (/.f64 x 1) 1) y) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) |
(pow.f64 (/.f64 x y) 1) |
(pow.f64 (sqrt.f64 (/.f64 x y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 x y)) 3) |
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(sqrt.f64 (pow.f64 (/.f64 x y) 2)) |
(log.f64 (exp.f64 (/.f64 x y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 x y) 3)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
| 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) |
(+.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)) |
(+.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))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(-.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 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) 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 (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 (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 (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))) |
(/.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 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.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 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
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(/.f64 x y) |
(/.f64 (*.f64 (/.f64 x 1) 1) y) |
(/.f64 x y) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1) (sqrt.f64 y)) |
(/.f64 x y) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y)) |
(/.f64 x y) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 -1))) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 y))) |
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 x y) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 x y) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 x y) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 (/.f64 x y))) |
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(pow.f64 (sqrt.f64 (/.f64 x y)) 2) |
(/.f64 x y) |
(pow.f64 (cbrt.f64 (/.f64 x y)) 3) |
(/.f64 x y) |
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(/.f64 x y) |
(sqrt.f64 (pow.f64 (/.f64 x y) 2)) |
(/.f64 x y) |
(log.f64 (exp.f64 (/.f64 x y))) |
(/.f64 x y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y)))) |
(/.f64 x y) |
(cbrt.f64 (pow.f64 (/.f64 x y) 3)) |
(/.f64 x y) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 y 3)) (pow.f64 x 3))) |
(/.f64 x y) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(/.f64 x y) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(/.f64 x y) |
(exp.f64 (log.f64 (/.f64 x y))) |
(/.f64 x y) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(/.f64 x y) |
Compiled 13558 to 6762 computations (50.1% saved)
30 alts after pruning (16 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 7 | 889 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 13 | 14 |
| Total | 884 | 30 | 914 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.0b | (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
| ✓ | 17.3b | (/.f64 (*.f64 y (sin.f64 x)) x) |
| ✓ | 46.6b | (/.f64 (*.f64 y x) x) |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 30.3b | (/.f64 (sinh.f64 y) 1) |
| ✓ | 2.1b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 2.0b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ✓ | 2.2b | (/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) |
| 2.2b | (/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) | |
| ✓ | 1.5b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | 1.6b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 30.9b | (/.f64 y (*.f64 (/.f64 1 x) x)) | |
| 46.6b | (/.f64 y (*.f64 (*.f64 1/6 x) x)) | |
| 46.6b | (/.f64 y (*.f64 1/6 (*.f64 x x))) | |
| 16.5b | (/.f64 x (/.f64 x y)) | |
| 46.6b | (/.f64 1 (/.f64 x (*.f64 y x))) | |
| 45.1b | (-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) | |
| 45.1b | (-.f64 (+.f64 1 y) 1) | |
| ✓ | 32.0b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 32.0b | (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) | |
| 1.5b | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| ✓ | 17.1b | (*.f64 (/.f64 y x) x) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
| 16.2b | (*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y)) | |
| 17.3b | (*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) | |
| ✓ | 46.6b | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| ✓ | 1.5b | (*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
| 46.4b | (*.f64 6 (/.f64 (/.f64 y x) x)) | |
| 42.6b | (sqrt.f64 (*.f64 y y)) | |
| 30.8b | y |
Compiled 281 to 192 computations (31.7% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 y (*.f64 1/6 (*.f64 x x))) |
(/.f64 y (*.f64 (*.f64 1/6 x) x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y)) |
(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 y (sin.f64 x)) x) |
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.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 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x)) |
(*.f64 (/.f64 1 (*.f64 x (/.f64 1 (sin.f64 x)))) (sinh.f64 y)) |
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
4 calls:
| 59.0ms | x |
| 18.0ms | (sinh.f64 y) |
| 17.0ms | y |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0.1b | 1 | (sinh.f64 y) |
Compiled 319 to 153 computations (52% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 y (*.f64 1/6 (*.f64 x x))) |
(/.f64 y (*.f64 (*.f64 1/6 x) x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y)) |
(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 y (sin.f64 x)) x) |
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
3 calls:
| 113.0ms | (sinh.f64 y) |
| 15.0ms | y |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (sinh.f64 y) |
Compiled 254 to 124 computations (51.2% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 y (*.f64 1/6 (*.f64 x x))) |
(/.f64 y (*.f64 (*.f64 1/6 x) x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y)) |
(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 y (sin.f64 x)) x) |
(*.f64 y (/.f64 1 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 y) x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| Outputs |
|---|
(/.f64 y (/.f64 x (sin.f64 x))) |
3 calls:
| 39.0ms | x |
| 26.0ms | (sinh.f64 y) |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 1 | x |
| 1.5b | 1 | y |
| 1.5b | 1 | (sinh.f64 y) |
Compiled 233 to 118 computations (49.4% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 y (*.f64 1/6 (*.f64 x x))) |
(/.f64 y (*.f64 (*.f64 1/6 x) x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y)) |
(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:
| 11.0ms | x |
| 10.0ms | (sinh.f64 y) |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 1 | x |
| 1.5b | 1 | y |
| 1.5b | 1 | (sinh.f64 y) |
Compiled 157 to 85 computations (45.9% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 y (*.f64 1/6 (*.f64 x x))) |
(/.f64 y (*.f64 (*.f64 1/6 x) x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(*.f64 (/.f64 1 (*.f64 x (+.f64 (*.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
| Outputs |
|---|
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
3 calls:
| 46.0ms | (sinh.f64 y) |
| 10.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 16.1b | 1 | x |
| 16.1b | 1 | y |
| 16.1b | 1 | (sinh.f64 y) |
Compiled 151 to 83 computations (45% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 (/.f64 y x) x)) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 y (*.f64 1/6 (*.f64 x x))) |
(/.f64 y (*.f64 (*.f64 1/6 x) x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
| Outputs |
|---|
(/.f64 x (/.f64 x y)) |
2 calls:
| 8.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 16.5b | 1 | x |
| 16.5b | 1 | y |
Compiled 114 to 58 computations (49.1% saved)
Total -42.7b remaining (-249.9%)
Threshold costs -42.7b (-249.9%)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
| Outputs |
|---|
(*.f64 (/.f64 y x) x) |
2 calls:
| 5.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.1b | 1 | x |
| 17.1b | 1 | y |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
| 10× | *-commutative |
| 2× | 1-exp |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 134 |
| 1 | 32 | 134 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 x (/.f64 x y)) |
(*.f64 (/.f64 y x) x) |
y |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 y (*.f64 x (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(/.f64 x (/.f64 x y)) |
(*.f64 (/.f64 y x) x) |
(*.f64 x (/.f64 y x)) |
y |
Compiled 64 to 41 computations (35.9% 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 50 to 21 computations (58% saved)
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