Time bar (total: 10.2s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 9 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.2s | 6247× | body | 256 | valid |
| 780.0ms | 1356× | body | 1024 | valid |
| 250.0ms | 650× | body | 512 | valid |
| 2.0ms | 3× | body | 2048 | valid |
| 2× | egg-herbie |
| 50× | +-commutative |
| 48× | fma-def |
| 16× | associate-+l+ |
| 8× | associate-+r+ |
| 8× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 108 |
| 1 | 44 | 92 |
| 2 | 77 | 92 |
| 3 | 98 | 92 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x))) |
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x))) |
(+.f64 y (+.f64 (sin.f64 x) (*.f64 z (cos.f64 x)))) |
(fma.f64 z (cos.f64 x) (+.f64 y (sin.f64 x))) |
(+.f64 y (fma.f64 z (cos.f64 x) (sin.f64 x))) |
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(+.f64 (+.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) |
(fma.f64 x (cos.f64 y) (+.f64 (sin.f64 y) z)) |
(+.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) z)) |
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z))) |
(+.f64 x (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))) |
(fma.f64 y (cos.f64 z) (+.f64 x (sin.f64 z))) |
(+.f64 x (fma.f64 y (cos.f64 z) (sin.f64 z))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 14× | +-commutative |
| 12× | fma-def |
| 4× | associate-+l+ |
| 2× | associate-+r+ |
| 2× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 16 | 23 |
| 2 | 25 | 23 |
| 3 | 31 | 23 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
Compiled 28 to 11 computations (60.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| ▶ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 23 to 15 computations (34.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (cos.f64 y) |
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 0.1b | (*.f64 z (cos.f64 y)) |
Compiled 27 to 8 computations (70.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (*.f64 z (cos.f64 y)) |
| 1.0ms | z | @ | 0 | (*.f64 z (cos.f64 y)) |
| 1.0ms | y | @ | 0 | (cos.f64 y) |
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0.0ms | z | @ | inf | (*.f64 z (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 1040× | associate-*r/ |
| 1002× | distribute-rgt-in |
| 988× | associate-*l/ |
| 968× | distribute-lft-in |
| 374× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 236 | 39 |
| 2 | 3277 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (cos.f64 y)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(cos.f64 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 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(sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) 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(+.f64 x (sin.f64 y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y))))))) |
| 1× | egg-herbie |
| 1324× | associate-+r+ |
| 1254× | associate-+l+ |
| 1004× | +-commutative |
| 600× | associate-*r* |
| 556× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 8305 |
| 1 | 1018 | 8059 |
| 2 | 5299 | 8059 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
x |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
x |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y)))) |
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 (+.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) |
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1) |
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(*.f64 (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))) |
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (-.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) (-.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) 1) (-.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 1) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(fma.f64 1 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1) |
(*.f64 (cos.f64 y) 1) |
(*.f64 1 (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(pow.f64 (cos.f64 y) 1) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
x |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
x |
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(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(+.f64 z (+.f64 x y)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 z (+.f64 x y))) |
(+.f64 z (+.f64 x (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 z (+.f64 x y)))) |
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (+.f64 x (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
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(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
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(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
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(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
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(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
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(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
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(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))) (fma.f64 -1/720 (pow.f64 y 6) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (*.f64 z (cos.f64 y)) 1) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3) |
(*.f64 (cos.f64 y) z) |
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) |
(*.f64 (cos.f64 y) z) |
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1)) |
(*.f64 (cos.f64 y) z) |
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) (fma.f64 z (cos.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z x) (expm1.f64 (log1p.f64 (sin.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 (cos.f64 y) z))) |
(fma.f64 (cos.f64 y) z (expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))) |
(-.f64 (*.f64 (/.f64 x (-.f64 x (sin.f64 y))) x) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))) |
(-.f64 (fma.f64 (cos.f64 y) z (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 (cos.f64 y) z))) |
(fma.f64 (cos.f64 y) z (expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))) |
(-.f64 (*.f64 (/.f64 x (-.f64 x (sin.f64 y))) x) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))) |
(-.f64 (fma.f64 (cos.f64 y) z (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 (+.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x))) |
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) (fma.f64 z (cos.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z x) (expm1.f64 (log1p.f64 (sin.f64 y)))) |
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
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(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
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(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
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(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(*.f64 (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (*.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 4)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)) (*.f64 (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))) (-.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (pow.f64 (+.f64 (sin.f64 y) x) 6))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (+.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) 2)) |
(fabs.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1)) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1) |
(cos.f64 y) |
(*.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(*.f64 1 (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(cos.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(cos.f64 y) |
(pow.f64 (cos.f64 y) 1) |
(cos.f64 y) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(cos.f64 y) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(cos.f64 y) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(cos.f64 y) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(fabs.f64 (cos.f64 y)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(cos.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y)))) |
(cos.f64 y) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (log.f64 (cos.f64 y))) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(cos.f64 y) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(cos.f64 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| ✓ | 0.0b | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
Compiled 22 to 7 computations (68.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| 0.0ms | y | @ | -inf | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| 0.0ms | z | @ | -inf | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| 0.0ms | z | @ | 0 | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| 0.0ms | z | @ | inf | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 1010× | *-commutative |
| 818× | unswap-sqr |
| 578× | swap-sqr |
| 496× | distribute-lft-in |
| 482× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 224 | 23 |
| 2 | 2843 | 23 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) |
| 1× | egg-herbie |
| 936× | distribute-lft-in |
| 898× | distribute-rgt-in |
| 838× | *-commutative |
| 584× | +-commutative |
| 532× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2517 |
| 1 | 330 | 2417 |
| 2 | 1181 | 2417 |
| 3 | 4748 | 2417 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
x |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
x |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y)) |
(+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x) |
(+.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) 1) (sin.f64 y)) |
(+.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1) x) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))) |
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1) |
(-.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1) |
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
| Outputs |
|---|
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
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(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 z (*.f64 z (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 z (*.f64 z (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)))) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
Compiled 7792 to 2317 computations (70.3% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 12 | 330 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 318 | 14 | 332 |
| Status | Error | Program |
|---|---|---|
| 27.1b | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| 16.8b | (fma.f64 (cos.f64 y) z (expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) | |
| ✓ | 0.0b | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| ▶ | 0.1b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))) |
| ▶ | 0.1b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))) |
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ▶ | 27.1b | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 24.3b | (+.f64 (sin.f64 y) x) | |
| 26.3b | (+.f64 z (+.f64 x y)) | |
| ▶ | 22.6b | (+.f64 z x) |
| 35.8b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))))) | |
| ▶ | 39.0b | (*.f64 (cos.f64 y) z) |
| 35.8b | (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2))))) | |
| 36.5b | x |
Compiled 375 to 206 computations (45.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))) |
| ✓ | 0.1b | (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))) |
| ✓ | 0.2b | (expm1.f64 (log1p.f64 (cos.f64 y))) |
| ✓ | 0.3b | (log1p.f64 (cos.f64 y)) |
Compiled 38 to 10 computations (73.7% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | y | @ | inf | (log1p.f64 (cos.f64 y)) |
| 22.0ms | y | @ | -inf | (log1p.f64 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (log1p.f64 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (expm1.f64 (log1p.f64 (cos.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))) |
| 1× | batch-egg-rewrite |
| 1122× | associate-*r/ |
| 1066× | associate-*l/ |
| 1022× | distribute-lft-in |
| 388× | associate-+l+ |
| 276× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 274 | 48 |
| 2 | 3506 | 48 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (cos.f64 y)) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1)))))) |
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| 1× | egg-herbie |
| 1206× | associate--r+ |
| 690× | associate-*r* |
| 656× | associate-*l* |
| 542× | associate-+r- |
| 524× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 9400 |
| 1 | 1197 | 9084 |
| 2 | 6393 | 9084 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 y 4)))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (-.f64 (-.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (-.f64 (-.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) 1) (-.f64 (-.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 1) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2)) |
(fma.f64 -1/4 (*.f64 y y) (log.f64 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (*.f64 -1/96 (pow.f64 y 4))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (fma.f64 -1/1440 (pow.f64 y 6) (*.f64 -1/96 (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -1/1440 (pow.f64 y 6)))) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
(log.f64 (+.f64 1 (cos.f64 y))) |
(log1p.f64 (cos.f64 y)) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 3) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3) 1/3) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) 2)) |
(fabs.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 1)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| ✓ | 0.1b | (*.f64 (cos.f64 y) z) |
Compiled 11 to 5 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (cos.f64 y) z) |
| 0.0ms | z | @ | 0 | (*.f64 (cos.f64 y) z) |
| 0.0ms | z | @ | inf | (*.f64 (cos.f64 y) z) |
| 0.0ms | z | @ | -inf | (*.f64 (cos.f64 y) z) |
| 0.0ms | y | @ | inf | (*.f64 (cos.f64 y) z) |
| 1× | batch-egg-rewrite |
| 1282× | add-sqr-sqrt |
| 1272× | *-un-lft-identity |
| 1170× | add-cube-cbrt |
| 1152× | add-cbrt-cube |
| 1138× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 135 | 11 |
| 2 | 1583 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))))))) |
| 1× | egg-herbie |
| 1238× | fma-def |
| 914× | log-prod |
| 884× | distribute-lft-out |
| 766× | *-commutative |
| 662× | associate-*r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 341 |
| 1 | 132 | 333 |
| 2 | 436 | 325 |
| 3 | 2085 | 319 |
| 4 | 5558 | 319 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1))) |
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1)))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
(*.f64 z (cos.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(*.f64 z (cos.f64 y)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(*.f64 z (cos.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 z (cos.f64 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| ✓ | 0.0b | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 0.1b | (*.f64 (cos.f64 y) z) |
Compiled 20 to 7 computations (65% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 1990× | add-sqr-sqrt |
| 1974× | *-un-lft-identity |
| 1832× | add-cube-cbrt |
| 1812× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 187 | 17 |
| 2 | 2424 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y)))))) |
| 1× | egg-herbie |
| 1516× | associate-*r* |
| 1358× | associate-*l* |
| 792× | associate-+r+ |
| 552× | associate-+l+ |
| 432× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 1384 |
| 1 | 254 | 1334 |
| 2 | 966 | 1334 |
| 3 | 5469 | 1334 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 y z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1) |
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2)) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y)) |
| Outputs |
|---|
z |
(+.f64 y z) |
(+.f64 z y) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)) |
(+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)) |
(+.f64 z (fma.f64 z (*.f64 y (*.f64 y -1/2)) y)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))) |
(fma.f64 (*.f64 y y) (*.f64 z -1/2) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y))) |
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y))) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))) |
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))) |
| ✓ | 0.1b | (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))) |
| ✓ | 0.1b | (log1p.f64 (expm1.f64 (cos.f64 y))) |
| ✓ | 0.6b | (expm1.f64 (cos.f64 y)) |
Compiled 38 to 10 computations (73.7% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))) |
| 0.0ms | y | @ | 0 | (expm1.f64 (cos.f64 y)) |
| 0.0ms | y | @ | inf | (expm1.f64 (cos.f64 y)) |
| 0.0ms | y | @ | -inf | (expm1.f64 (cos.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))) |
| 1× | batch-egg-rewrite |
| 1082× | associate-*r/ |
| 1032× | associate-*l/ |
| 1002× | distribute-lft-in |
| 388× | associate-+l+ |
| 276× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 273 | 48 |
| 2 | 3505 | 48 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (cos.f64 y)) |
(log1p.f64 (expm1.f64 (cos.f64 y))) |
(*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1)) (+.f64 (expm1.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) |
| 1× | egg-herbie |
| 1182× | +-commutative |
| 928× | associate-/r/ |
| 682× | associate-*r* |
| 636× | associate-*l* |
| 600× | associate--r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 9195 |
| 1 | 1196 | 8889 |
| 2 | 6128 | 8889 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 1) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
x |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
x |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (expm1.f64 (cos.f64 y)) 0) |
(+.f64 1 (+.f64 (expm1.f64 (cos.f64 y)) -1)) |
(+.f64 1 (-.f64 (expm1.f64 (cos.f64 y)) 1)) |
(+.f64 (exp.f64 (cos.f64 y)) -1) |
(+.f64 -1 (exp.f64 (cos.f64 y))) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(-.f64 (+.f64 (expm1.f64 (cos.f64 y)) 2) 2) |
(*.f64 (expm1.f64 (cos.f64 y)) 1) |
(*.f64 1 (expm1.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1)) (+.f64 (expm1.f64 (cos.f64 y)) 2)) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1)))) |
(pow.f64 (expm1.f64 (cos.f64 y)) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3)) |
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1) |
(*.f64 (cos.f64 y) 1) |
(*.f64 1 (cos.f64 y)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))) |
(pow.f64 (cos.f64 y) 1) |
(pow.f64 (sqrt.f64 (cos.f64 y)) 2) |
(pow.f64 (cbrt.f64 (cos.f64 y)) 3) |
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 y) 2)) |
(log.f64 (exp.f64 (cos.f64 y))) |
(cbrt.f64 (pow.f64 (cos.f64 y) 3)) |
(cos.f64 y) |
(expm1.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (/.f64 1 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (cbrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (exp.f64 1) 1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (E.f64)) (expm1.f64 1)) |
(fma.f64 (*.f64 -1/2 (*.f64 y y)) (E.f64) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4)) (E.f64))) -1) |
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/6 (pow.f64 y 4)))) (expm1.f64 1)) |
(+.f64 (expm1.f64 1) (*.f64 (E.f64) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/6 (pow.f64 y 4))))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4)) (fma.f64 -31/720 (*.f64 (E.f64) (pow.f64 y 6)) (E.f64)))) -1) |
(fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (+.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/6 (pow.f64 y 4)) (*.f64 -31/720 (pow.f64 y 6)))) (expm1.f64 1))) |
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 -31/720 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 4)))) (fma.f64 (*.f64 -1/2 (*.f64 y y)) (E.f64) (expm1.f64 1))) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
(-.f64 (exp.f64 (cos.f64 y)) 1) |
(expm1.f64 (cos.f64 y)) |
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))) |
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))) |
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y))) (fma.f64 (pow.f64 y 6) -1/720 1)) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(cos.f64 y) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) z) |
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
x |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
x |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 y (+.f64 z x))) |
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 y (+.f64 z x)))) |
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 (cos.f64 y) z (-.f64 (neg.f64 x) (sin.f64 y)))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 3) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3) 1/3) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) 2)) |
(fabs.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 1)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
Compiled 16411 to 5529 computations (66.3% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 701 | 11 | 712 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 707 | 19 | 726 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| 26.3b | (+.f64 (+.f64 y z) x) | |
| 0.2b | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) z) (+.f64 (cos.f64 y) 2))) | |
| 0.2b | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 1 (+.f64 1 (cos.f64 y)))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))) | |
| ▶ | 0.2b | (+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1))) |
| ▶ | 0.1b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) |
| 0.2b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) 2) 2))) | |
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 27.1b | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| ▶ | 24.3b | (+.f64 (sin.f64 y) x) |
| ▶ | 46.1b | (+.f64 z y) |
| ✓ | 22.6b | (+.f64 z x) |
| 35.8b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))))) | |
| ▶ | 50.1b | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
| ✓ | 39.0b | (*.f64 (cos.f64 y) z) |
| 50.7b | (sin.f64 y) | |
| 40.8b | (expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) | |
| 48.7b | z | |
| 36.5b | x |
Compiled 456 to 297 computations (34.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 2 (cos.f64 y)) |
| ✓ | 0.1b | (/.f64 z (+.f64 2 (cos.f64 y))) |
| ✓ | 0.2b | (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))) |
| ✓ | 0.2b | (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) |
Compiled 65 to 30 computations (53.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/.f64 z (+.f64 2 (cos.f64 y))) |
| 0.0ms | y | @ | 0 | (/.f64 z (+.f64 2 (cos.f64 y))) |
| 0.0ms | z | @ | 0 | (/.f64 z (+.f64 2 (cos.f64 y))) |
| 0.0ms | y | @ | -inf | (/.f64 z (+.f64 2 (cos.f64 y))) |
| 0.0ms | y | @ | inf | (/.f64 z (+.f64 2 (cos.f64 y))) |
| 1× | batch-egg-rewrite |
| 1268× | associate-/r* |
| 942× | associate-/l* |
| 940× | distribute-rgt-in |
| 908× | distribute-lft-in |
| 604× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 92 |
| 1 | 240 | 92 |
| 2 | 3258 | 92 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) |
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))) |
(/.f64 z (+.f64 2 (cos.f64 y))) |
(+.f64 2 (cos.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y))) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y)) (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 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y)) (cos.f64 y))) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y))) (*.f64 1 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y))))) (*.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) (*.f64 1 (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) (*.f64 1 (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) 2) (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) (cos.f64 y)) (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) (*.f64 -1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) 1) (-.f64 2 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (-.f64 2 (cos.f64 y)))) (sqrt.f64 (-.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 2 (cos.f64 y))) (cbrt.f64 (-.f64 2 (cos.f64 y))))) (cbrt.f64 (-.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 2))))) |
| 1× | egg-herbie |
| 1442× | associate-*r* |
| 1350× | associate-/r* |
| 1218× | associate-/l/ |
| 1196× | associate-*l* |
| 954× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 855 | 15469 |
| 1 | 2423 | 14487 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
3 |
(+.f64 3 (*.f64 -2 (pow.f64 y 2))) |
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 1/3 z) |
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 y 2) z)) (*.f64 1/3 z)) |
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/108 z) (*.f64 1/216 z)) (pow.f64 y 4))) (*.f64 1/3 z))) |
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/6480 z) (+.f64 (*.f64 1/1296 z) (*.f64 1/6 (+.f64 (*.f64 -1/108 z) (*.f64 1/216 z))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/108 z) (*.f64 1/216 z)) (pow.f64 y 4))) (*.f64 1/3 z)))) |
3 |
(+.f64 3 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y))) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2))) |
(+.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y))) |
(+.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y)) (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2)) |
(+.f64 (*.f64 (*.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 y))))) |
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 y)))) (*.f64 (*.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y))))) |
(+.f64 (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) |
(+.f64 (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) |
(+.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 (*.f64 2 (cos.f64 y)) 1)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 (pow.f64 (cos.f64 y) 2) 1))) |
(+.f64 (*.f64 1 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y)))) (*.f64 1 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))) |
(+.f64 (*.f64 1 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2)) (*.f64 1 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y)))) |
(+.f64 (*.f64 1 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y))) (*.f64 1 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y))))) (*.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 y)))))) |
(+.f64 (*.f64 1 (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) (*.f64 1 (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))))) |
(+.f64 (*.f64 1 (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) (*.f64 1 (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))))) |
(+.f64 (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) 2) (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) (cos.f64 y))) |
(+.f64 (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) (cos.f64 y)) (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) 2)) |
(+.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) (neg.f64 (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) (*.f64 -1 (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))) |
(+.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) 2) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (-.f64 2 (cos.f64 y))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))) |
(+.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 2 (cos.f64 y)))) 4) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 2 (cos.f64 y)))) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) |
(+.f64 (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 2 (cos.f64 y)))) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))) (*.f64 (/.f64 (*.f64 z (cos.f64 y)) (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 2 (cos.f64 y)))) 4)) |
(+.f64 (*.f64 (*.f64 (*.f64 2 (cos.f64 y)) 1) (/.f64 z (+.f64 2 (cos.f64 y)))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (/.f64 z (+.f64 2 (cos.f64 y))))) |
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y))) 1) (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2)) 1)) |
(+.f64 (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) 1) (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y)) 1)) |
(+.f64 (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y)) 1) (*.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) 1)) |
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(*.f64 (/.f64 z (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)))) (neg.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (cos.f64 y) 2) 4)) (-.f64 (cos.f64 y) 2)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)))) (-.f64 2 (cos.f64 y))) |
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)))) (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)))) (neg.f64 (-.f64 2 (cos.f64 y)))) |
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)))) (neg.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(*.f64 (/.f64 (/.f64 z 1) (-.f64 (pow.f64 (cos.f64 y) 2) 4)) (-.f64 (cos.f64 y) 2)) |
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)))) (sqrt.f64 (-.f64 2 (cos.f64 y)))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (-.f64 2 (cos.f64 y)))) |
(pow.f64 (/.f64 z (+.f64 2 (cos.f64 y))) 1) |
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 2 (cos.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 z (+.f64 2 (cos.f64 y)))) 3) |
(pow.f64 (pow.f64 (/.f64 z (+.f64 2 (cos.f64 y))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) z) -1) |
(neg.f64 (/.f64 z (-.f64 -2 (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 2 (cos.f64 y))) 2)) |
(log.f64 (exp.f64 (/.f64 z (+.f64 2 (cos.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 2 (cos.f64 y)))))) |
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 2 (cos.f64 y))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 2 (cos.f64 y))))) |
(exp.f64 (log.f64 (/.f64 z (+.f64 2 (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (+.f64 2 (cos.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 2 (cos.f64 y))))) |
(-.f64 (exp.f64 (log.f64 (+.f64 3 (cos.f64 y)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) -1) |
(-.f64 (/.f64 4 (-.f64 2 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 2 (cos.f64 y)))) |
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (cos.f64 y)))) 1) |
(*.f64 (+.f64 2 (cos.f64 y)) 1) |
(*.f64 1 (+.f64 2 (cos.f64 y))) |
(*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2) (cbrt.f64 (+.f64 2 (cos.f64 y)))) |
(*.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 2 (cos.f64 y)))) |
(*.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(*.f64 (/.f64 1 (-.f64 2 (cos.f64 y))) (-.f64 4 (pow.f64 (cos.f64 y) 2))) |
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) (+.f64 8 (pow.f64 (cos.f64 y) 3))) |
(*.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 4 (pow.f64 (cos.f64 y) 2))) (+.f64 2 (cos.f64 y))) |
(*.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 8 (pow.f64 (cos.f64 y) 3))) (+.f64 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))) 4)) |
(*.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (-.f64 16 (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) (-.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 64 (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)) 3))) (-.f64 (+.f64 16 (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) (*.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(/.f64 (+.f64 2 (cos.f64 y)) 1) |
(/.f64 1 (/.f64 -1 (-.f64 -2 (cos.f64 y)))) |
(/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (/.f64 1 (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(/.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (cos.f64 y))))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (/.f64 1 (/.f64 1 (-.f64 2 (cos.f64 y))))) |
(/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) |
(/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (/.f64 1 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))))) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (/.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))))) |
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2))) (/.f64 (-.f64 2 (cos.f64 y)) (sqrt.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)))) (/.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)))) (/.f64 (-.f64 2 (cos.f64 y)) (cbrt.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2))))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 2 (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2))) (*.f64 1 (neg.f64 (-.f64 2 (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (neg.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))))) |
(/.f64 (-.f64 64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))) (-.f64 8 (pow.f64 (cos.f64 y) 3)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 4) (-.f64 (cos.f64 y) 2)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 1 (-.f64 (cos.f64 y) 2))) |
(/.f64 (-.f64 16 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (-.f64 2 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) 4))) |
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))) (+.f64 64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) (*.f64 8 (pow.f64 (cos.f64 y) 3)))))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (*.f64 (-.f64 2 (cos.f64 y)) (+.f64 16 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 4 (pow.f64 (cos.f64 y) 2)))))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) 1) (-.f64 2 (cos.f64 y))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (-.f64 2 (cos.f64 y)))) (sqrt.f64 (-.f64 2 (cos.f64 y)))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 2 (cos.f64 y))) (cbrt.f64 (-.f64 2 (cos.f64 y))))) (cbrt.f64 (-.f64 2 (cos.f64 y)))) |
(/.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(/.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(pow.f64 (+.f64 2 (cos.f64 y)) 1) |
(pow.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 2)) |
(log.f64 (exp.f64 (+.f64 2 (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 3)) |
(expm1.f64 (log.f64 (+.f64 3 (cos.f64 y)))) |
(exp.f64 (log.f64 (+.f64 2 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 2 (cos.f64 y)))) |
(fma.f64 1 (cos.f64 y) 2) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 2) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 2) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y z)) z) (*.f64 (pow.f64 y 4) (*.f64 1/24 z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 (pow.f64 y 4) (*.f64 1/24 z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
3 |
(+.f64 3 (*.f64 -2 (pow.f64 y 2))) |
(+.f64 3 (*.f64 (*.f64 y y) -2)) |
(+.f64 3 (*.f64 y (*.f64 y -2))) |
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 3 (fma.f64 -2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/12))) |
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))) |
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 3 (fma.f64 -2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/12)))) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) |
(*.f64 1/3 z) |
(*.f64 z 1/3) |
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 y 2) z)) (*.f64 1/3 z)) |
(fma.f64 1/18 (*.f64 z (*.f64 y y)) (*.f64 z 1/3)) |
(fma.f64 1/18 (*.f64 y (*.f64 y z)) (*.f64 z 1/3)) |
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/108 z) (*.f64 1/216 z)) (pow.f64 y 4))) (*.f64 1/3 z))) |
(fma.f64 1/18 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (pow.f64 y 4) (*.f64 z -1/216)) (*.f64 z 1/3))) |
(fma.f64 1/18 (*.f64 y (*.f64 y z)) (fma.f64 -1 (*.f64 (pow.f64 y 4) (*.f64 z -1/216)) (*.f64 z 1/3))) |
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/6480 z) (+.f64 (*.f64 1/1296 z) (*.f64 1/6 (+.f64 (*.f64 -1/108 z) (*.f64 1/216 z))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/108 z) (*.f64 1/216 z)) (pow.f64 y 4))) (*.f64 1/3 z)))) |
(fma.f64 1/18 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (pow.f64 y 6) (fma.f64 -1/6480 z (fma.f64 1/1296 z (*.f64 (*.f64 z -1/216) 1/6)))) (fma.f64 -1 (*.f64 (pow.f64 y 4) (*.f64 z -1/216)) (*.f64 z 1/3)))) |
(fma.f64 1/18 (*.f64 y (*.f64 y z)) (fma.f64 -1 (*.f64 (pow.f64 y 6) (fma.f64 -1/6480 z (fma.f64 1/1296 z (*.f64 z -1/1296)))) (fma.f64 -1 (*.f64 (pow.f64 y 4) (*.f64 z -1/216)) (*.f64 z 1/3)))) |
3 |
(+.f64 3 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 3 (*.f64 -1/2 (*.f64 y y))) |
(+.f64 3 (*.f64 y (*.f64 y -1/2))) |
(+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 3 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 3 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y))) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 2 (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cos.f64 y)) (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 z (+.f64 2 (cos.f64 y)))) (*.f64 (*.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (*.f64 2 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (-.f64 2 (cos.f64 y)) (/.f64 z (/.f64 (-.f64 2 (cos.f64 y)) (cos.f64 y)))) |
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(*.f64 (-.f64 2 (cos.f64 y)) (/.f64 z (/.f64 (-.f64 2 (cos.f64 y)) (cos.f64 y)))) |
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(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 8 (pow.f64 (cos.f64 y) 3)))) (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 z (+.f64 2 (cos.f64 y))))))) |
(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(*.f64 (cos.f64 y) z) |
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(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4) (+.f64 (cos.f64 y) -2)) |
(/.f64 (-.f64 16 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (-.f64 2 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) 4))) |
(/.f64 (-.f64 16 (pow.f64 (cos.f64 y) 4)) (*.f64 (-.f64 2 (cos.f64 y)) (+.f64 4 (pow.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (-.f64 16 (pow.f64 (cos.f64 y) 4)) (-.f64 2 (cos.f64 y))) (+.f64 4 (pow.f64 (cos.f64 y) 2))) |
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))) (+.f64 64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) (*.f64 8 (pow.f64 (cos.f64 y) 3)))))) |
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (+.f64 64 (*.f64 (pow.f64 (cos.f64 y) 3) (-.f64 (pow.f64 (cos.f64 y) 3) 8))))) |
(/.f64 (/.f64 (+.f64 512 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (+.f64 64 (*.f64 (pow.f64 (cos.f64 y) 3) (-.f64 (pow.f64 (cos.f64 y) 3) 8)))) (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (*.f64 (-.f64 2 (cos.f64 y)) (+.f64 16 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 4 (pow.f64 (cos.f64 y) 2)))))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (*.f64 (-.f64 2 (cos.f64 y)) (+.f64 16 (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 4 (pow.f64 (cos.f64 y) 2)))))) |
(/.f64 (/.f64 (-.f64 64 (pow.f64 (cos.f64 y) 6)) (-.f64 2 (cos.f64 y))) (+.f64 (*.f64 4 (pow.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (cos.f64 y) 4) 16))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) 1) (-.f64 2 (cos.f64 y))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 2 (cos.f64 y))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (-.f64 2 (cos.f64 y)))) (sqrt.f64 (-.f64 2 (cos.f64 y)))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (sqrt.f64 (-.f64 2 (cos.f64 y))) (sqrt.f64 (-.f64 2 (cos.f64 y))))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 2 (cos.f64 y))) (cbrt.f64 (-.f64 2 (cos.f64 y))))) (cbrt.f64 (-.f64 2 (cos.f64 y)))) |
(/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 2 (cos.f64 y))) (*.f64 (cbrt.f64 (-.f64 2 (cos.f64 y))) (cbrt.f64 (-.f64 2 (cos.f64 y)))))) |
(/.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) |
(/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) |
(/.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (sqrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))))) |
(/.f64 (/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2))))) |
(/.f64 (+.f64 8 (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (cbrt.f64 (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))))))) |
(pow.f64 (+.f64 2 (cos.f64 y)) 1) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(pow.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) 2) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 3) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(pow.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 3) 1/3) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(sqrt.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 2) 2)) |
(log.f64 (exp.f64 (+.f64 2 (cos.f64 y)))) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (cos.f64 y))))) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(cbrt.f64 (pow.f64 (+.f64 2 (cos.f64 y)) 3)) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(expm1.f64 (log.f64 (+.f64 3 (cos.f64 y)))) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(exp.f64 (log.f64 (+.f64 2 (cos.f64 y)))) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 (cos.f64 y))) 1)) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(log1p.f64 (expm1.f64 (+.f64 2 (cos.f64 y)))) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(fma.f64 1 (cos.f64 y) 2) |
(+.f64 (+.f64 (cos.f64 y) 3) -1) |
(+.f64 (cos.f64 y) 2) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 2) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 2) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (*.f64 y y)) |
| ✓ | 5.4b | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
Compiled 31 to 17 computations (45.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
| 0.0ms | z | @ | inf | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
| 0.0ms | y | @ | inf | (*.f64 -1/2 (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 1956× | add-sqr-sqrt |
| 1932× | *-un-lft-identity |
| 1804× | add-cube-cbrt |
| 1786× | add-cbrt-cube |
| 194× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 204 | 34 |
| 2 | 2496 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(*.f64 -1/2 (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (*.f64 -1/2 (*.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 -1/2 (*.f64 y y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) z) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) z) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 1140× | associate-*r* |
| 1014× | associate-*l* |
| 674× | log-prod |
| 602× | associate-+r+ |
| 586× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1422 |
| 1 | 234 | 1382 |
| 2 | 686 | 1366 |
| 3 | 3665 | 1366 |
| 4 | 7164 | 1366 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(+.f64 z (*.f64 z (*.f64 -1/2 (*.f64 y y)))) |
(+.f64 z (*.f64 (*.f64 -1/2 (*.f64 y y)) z)) |
(+.f64 (*.f64 z (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) z) z) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) 1) |
(/.f64 (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 1/2 (*.f64 y y)))) |
(/.f64 (*.f64 z (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) z) (+.f64 1 (*.f64 1/2 (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) z) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))) |
(pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) |
(-.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(pow.f64 (*.f64 -1/2 (*.f64 y y)) 1) |
(pow.f64 (*.f64 y (sqrt.f64 -1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y y))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y)))) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 y y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 y y)))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 z (*.f64 -1/2 (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 -1/2 y))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 z (*.f64 -1/2 (*.f64 y y))) |
(*.f64 z (*.f64 y (*.f64 -1/2 y))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(*.f64 -1/2 (pow.f64 y 2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(+.f64 z (*.f64 z (*.f64 -1/2 (*.f64 y y)))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 z (*.f64 (*.f64 -1/2 (*.f64 y y)) z)) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 z (*.f64 -1/2 (*.f64 y y))) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) z) z) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) 1) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(/.f64 (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 1/2 (*.f64 y y)))) |
(/.f64 (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 (*.f64 1/2 y) y))) |
(/.f64 (+.f64 z (*.f64 (*.f64 (pow.f64 y 4) -1/4) z)) (fma.f64 (*.f64 y y) 1/2 1)) |
(*.f64 z (/.f64 (fma.f64 (pow.f64 y 4) -1/4 1) (fma.f64 y (*.f64 y 1/2) 1))) |
(/.f64 (*.f64 z (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))) |
(/.f64 z (/.f64 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/4 (*.f64 (*.f64 1/2 y) y))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y 6) -1/8 1) (+.f64 1 (fma.f64 (*.f64 y y) 1/2 (*.f64 (pow.f64 y 4) 1/4)))) z) |
(*.f64 (fma.f64 (pow.f64 y 6) -1/8 1) (/.f64 z (fma.f64 y (*.f64 y 1/2) (fma.f64 (pow.f64 y 4) 1/4 1)))) |
(/.f64 (fma.f64 z (*.f64 (pow.f64 y 6) -1/8) z) (fma.f64 y (*.f64 y 1/2) (fma.f64 (pow.f64 y 4) 1/4 1))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) z) (+.f64 1 (*.f64 1/2 (*.f64 y y)))) |
(/.f64 (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 (*.f64 1/2 y) y))) |
(/.f64 (+.f64 z (*.f64 (*.f64 (pow.f64 y 4) -1/4) z)) (fma.f64 (*.f64 y y) 1/2 1)) |
(*.f64 z (/.f64 (fma.f64 (pow.f64 y 4) -1/4 1) (fma.f64 y (*.f64 y 1/2) 1))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) z) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))) |
(/.f64 z (/.f64 (+.f64 1 (fma.f64 (pow.f64 y 4) 1/4 (*.f64 (*.f64 1/2 y) y))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y 6) -1/8 1) (+.f64 1 (fma.f64 (*.f64 y y) 1/2 (*.f64 (pow.f64 y 4) 1/4)))) z) |
(*.f64 (fma.f64 (pow.f64 y 6) -1/8 1) (/.f64 z (fma.f64 y (*.f64 y 1/2) (fma.f64 (pow.f64 y 4) 1/4 1)))) |
(/.f64 (fma.f64 z (*.f64 (pow.f64 y 6) -1/8) z) (fma.f64 y (*.f64 y 1/2) (fma.f64 (pow.f64 y 4) 1/4 1))) |
(pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 1) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 2) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 3) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 3) 1/3) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 2)) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) z)) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z) 3)) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z)) 1)) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) z))) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1)) |
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z) |
(*.f64 z (fma.f64 y (*.f64 -1/2 y) 1)) |
(-.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(pow.f64 (*.f64 -1/2 (*.f64 y y)) 1) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(pow.f64 (*.f64 y (sqrt.f64 -1/2)) 2) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 3) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) |
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/8)) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) -1/2)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y y))))) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) |
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/8)) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y)))) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 y y)))) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 y y))) 1)) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 y y)))) |
(*.f64 -1/2 (*.f64 y y)) |
(*.f64 y (*.f64 -1/2 y)) |
Compiled 11 to 5 computations (54.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1))) |
| ✓ | 0.1b | (*.f64 z (+.f64 (cos.f64 y) 1)) |
| ✓ | 0.4b | (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1)) |
| ✓ | 0.4b | (+.f64 (cos.f64 y) 1) |
Compiled 54 to 28 computations (48.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1)) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1)) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1)) |
| 0.0ms | y | @ | inf | (+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1))) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1)) |
| 1× | batch-egg-rewrite |
| 868× | associate-+l+ |
| 860× | associate-/r* |
| 478× | associate-+r+ |
| 452× | +-commutative |
| 378× | add-sqr-sqrt |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 90 |
| 1 | 358 | 70 |
| 2 | 5333 | 58 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (cos.f64 y) 1) |
(+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1)) |
(*.f64 z (+.f64 (cos.f64 y) 1)) |
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 878× | +-commutative |
| 842× | associate-*r* |
| 804× | associate-*l* |
| 722× | associate-+l+ |
| 620× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 804 | 20135 |
| 1 | 2201 | 18465 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(+.f64 (*.f64 -1 z) (*.f64 2 z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 -1 z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
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(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(log.f64 (/.f64 (exp.f64 (+.f64 x (sin.f64 y))) (pow.f64 (exp.f64 z) (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (neg.f64 (*.f64 (cos.f64 y) z))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (cos.f64 y) z))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (cos.f64 y) z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 y y))) |
(+.f64 2 (*.f64 y (*.f64 y -1/2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (+.f64 -1 (neg.f64 (cos.f64 y)))))) |
(*.f64 z (neg.f64 (+.f64 0 (neg.f64 (cos.f64 y))))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (+.f64 -1 (neg.f64 (cos.f64 y)))))) |
(*.f64 z (neg.f64 (+.f64 0 (neg.f64 (cos.f64 y))))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (+.f64 -1 (neg.f64 (cos.f64 y)))))) |
(*.f64 z (neg.f64 (+.f64 0 (neg.f64 (cos.f64 y))))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (+.f64 -1 (neg.f64 (cos.f64 y)))))) |
(*.f64 z (neg.f64 (+.f64 0 (neg.f64 (cos.f64 y))))) |
(+.f64 (*.f64 -1 z) (*.f64 2 z)) |
(*.f64 z 1) |
(+.f64 z 0) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 -1 z))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 z 1)) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (+.f64 z 0)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 (*.f64 z 1) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 z y) y) (+.f64 z 0)) (*.f64 (pow.f64 y 4) (*.f64 1/24 z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 (*.f64 z 1) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 (+.f64 z 0) (*.f64 (pow.f64 y 4) (*.f64 1/24 z))))) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 2 z) |
(+.f64 z z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 2 z)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 z z)) |
(*.f64 z (+.f64 2 (*.f64 y (*.f64 y -1/2)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (*.f64 z (+.f64 2 (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (*.f64 z (+.f64 2 (*.f64 1/24 (pow.f64 y 4)))))) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (sin.f64 y))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
x |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
x |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 2 z) x)) |
(+.f64 (*.f64 z 1) x) |
(+.f64 (+.f64 z 0) x) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(+.f64 (*.f64 z 1) (+.f64 y x)) |
(+.f64 (+.f64 z 0) (+.f64 y x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 (*.f64 z 1) (+.f64 y x))) |
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 z y) y) (+.f64 z 0)) (+.f64 y x)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 (*.f64 z 1) (+.f64 y x)))) |
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 -1/2 (*.f64 (*.f64 z y) y) (+.f64 z 0)) (+.f64 y x))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (+.f64 -1 (neg.f64 (cos.f64 y)))))) |
(*.f64 z (neg.f64 (+.f64 0 (neg.f64 (cos.f64 y))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(fma.f64 -1 (*.f64 z (+.f64 1 (+.f64 -1 (neg.f64 (cos.f64 y))))) (+.f64 (sin.f64 y) x)) |
(fma.f64 -1 (*.f64 z (+.f64 0 (neg.f64 (cos.f64 y)))) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(fma.f64 -1 (*.f64 z (+.f64 1 (+.f64 -1 (neg.f64 (cos.f64 y))))) (+.f64 (sin.f64 y) x)) |
(fma.f64 -1 (*.f64 z (+.f64 0 (neg.f64 (cos.f64 y)))) (+.f64 (sin.f64 y) x)) |
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(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)) (-.f64 x (sin.f64 y))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) (-.f64 x (sin.f64 y))) |
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(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cos.f64 y) z)) (*.f64 (-.f64 x (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) (*.f64 z (-.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)))) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)) (-.f64 x (sin.f64 y)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (-.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 (cos.f64 y) z)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (*.f64 (*.f64 (cos.f64 y) z) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (*.f64 (cos.f64 y) (*.f64 z (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cos.f64 y) z)) (*.f64 (-.f64 x (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(/.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) (*.f64 z (-.f64 x (sin.f64 y))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)))) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (*.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)) (-.f64 x (sin.f64 y)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (-.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 (cos.f64 y) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (*.f64 (cos.f64 y) (*.f64 z (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 z (fma.f64 (cos.f64 y) z z))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) 2)) |
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log.f64 (/.f64 (exp.f64 (+.f64 x (sin.f64 y))) (pow.f64 (exp.f64 z) (cos.f64 y)))) |
(log.f64 (/.f64 (exp.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (exp.f64 z) (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 1 (+.f64 x (sin.f64 y)) (neg.f64 (*.f64 (cos.f64 y) z))) |
(fma.f64 1 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (cos.f64 y) z))) |
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) (neg.f64 z))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (cos.f64 y) z))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y))) |
(+.f64 (-.f64 (fma.f64 (cos.f64 y) z z) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
Compiled 33235 to 14941 computations (55% saved)
22 alts after pruning (15 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1239 | 10 | 1249 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 1246 | 22 | 1268 |
| Status | Error | Program |
|---|---|---|
| ▶ | 26.3b | (+.f64 (+.f64 y z) x) |
| 33.3b | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (/.f64 1 (cos.f64 y)))) | |
| 0.1b | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 z (+.f64 2 (cos.f64 y))) (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) | |
| ▶ | 0.1b | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y))))) |
| 18.4b | (+.f64 (+.f64 x (sin.f64 y)) (+.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 (cos.f64 y) z)) (*.f64 z -1))) | |
| ▶ | 0.2b | (+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (*.f64 z -1))) |
| 33.4b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 0.2b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) 2) 2))) | |
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 27.1b | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 26.3b | (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) | |
| ▶ | 0.2b | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
| 27.2b | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (sin.f64 y))) | |
| ✓ | 24.3b | (+.f64 (sin.f64 y) x) |
| ✓ | 46.1b | (+.f64 z y) |
| ✓ | 22.6b | (+.f64 z x) |
| ✓ | 50.1b | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
| 62.9b | (*.f64 (*.f64 z -1/2) (*.f64 y y)) | |
| ✓ | 39.0b | (*.f64 (cos.f64 y) z) |
| ▶ | 50.7b | (sin.f64 y) |
| 48.7b | z | |
| 36.5b | x |
Compiled 482 to 336 computations (30.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 2 (cos.f64 y)) | |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y))) |
| ✓ | 0.2b | (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
| ✓ | 0.2b | (/.f64 z (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y)))) |
Compiled 71 to 33 computations (53.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y))) |
| 0.0ms | y | @ | inf | (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y))) |
| 0.0ms | y | @ | 0 | (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 1070× | unswap-sqr |
| 952× | swap-sqr |
| 662× | distribute-rgt-in |
| 630× | distribute-lft-in |
| 550× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 101 |
| 1 | 248 | 101 |
| 2 | 3670 | 101 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y)))) |
(/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) |
(/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1096× | associate-*r* |
| 1066× | associate-*l* |
| 770× | *-commutative |
| 630× | associate-+r+ |
| 544× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 511 | 6092 |
| 1 | 1411 | 5148 |
| 2 | 7242 | 5148 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
3 |
(+.f64 3 (pow.f64 y 2)) |
(+.f64 3 (+.f64 (pow.f64 y 2) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 3 (+.f64 (*.f64 61/360 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 5/12 (pow.f64 y 4))))) |
1 |
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) |
(pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 3) 1/3) |
(pow.f64 (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) -1) |
(neg.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
z |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
3 |
(+.f64 3 (pow.f64 y 2)) |
(+.f64 (*.f64 y y) 3) |
(fma.f64 y y 3) |
(+.f64 3 (+.f64 (pow.f64 y 2) (*.f64 5/12 (pow.f64 y 4)))) |
(+.f64 3 (+.f64 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/12))) |
(+.f64 3 (fma.f64 (pow.f64 y 4) 5/12 (*.f64 y y))) |
(+.f64 3 (+.f64 (*.f64 61/360 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 5/12 (pow.f64 y 4))))) |
(+.f64 3 (fma.f64 61/360 (pow.f64 y 6) (+.f64 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/12)))) |
(+.f64 3 (fma.f64 (pow.f64 y 6) 61/360 (fma.f64 (pow.f64 y 4) 5/12 (*.f64 y y)))) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) 1/2)) |
(fma.f64 (*.f64 y y) 1/2 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/24))) |
(+.f64 (fma.f64 (*.f64 y y) 1/2 1) (*.f64 (pow.f64 y 4) 5/24)) |
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 y 6)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 61/720 (pow.f64 y 6) (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/24)))) |
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (*.f64 y y) 1/2 (*.f64 (pow.f64 y 4) 5/24)))) |
(/.f64 1 (cos.f64 y)) |
(/.f64 1 (cos.f64 y)) |
(/.f64 1 (cos.f64 y)) |
(/.f64 1 (cos.f64 y)) |
(/.f64 1 (cos.f64 y)) |
(/.f64 1 (cos.f64 y)) |
(/.f64 1 (cos.f64 y)) |
(/.f64 1 (cos.f64 y)) |
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 2) (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (cos.f64 y)) (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 2)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 2 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) (*.f64 (cos.f64 y) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) (*.f64 2 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 2)) (*.f64 1 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (cos.f64 y))) (*.f64 1 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 2))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 1 (*.f64 2 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) (*.f64 1 (*.f64 (cos.f64 y) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 1 (*.f64 (cos.f64 y) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) (*.f64 1 (*.f64 2 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1) 2) (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1) (cos.f64 y)) (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1) 2)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))) (neg.f64 (cos.f64 y))) (*.f64 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))) -2)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))) -2) (*.f64 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))) (neg.f64 (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 2) 1) (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (cos.f64 y)) 1)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (cos.f64 y)) 1) (*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 2) 1)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 1) (*.f64 (*.f64 (cos.f64 y) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 1)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (*.f64 (cos.f64 y) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 1) (*.f64 (*.f64 2 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 1)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1)) (*.f64 (cos.f64 y) (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1)) (*.f64 2 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y)))) (*.f64 -2 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 -2 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y)))) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) 1) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 1) |
(*.f64 (cos.f64 y) z) |
(*.f64 1 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2) (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (+.f64 2 (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))) (/.f64 z (/.f64 1 (+.f64 2 (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (neg.f64 z) (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) |
(*.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (-.f64 -2 (cos.f64 y)))) |
(*.f64 z (*.f64 (-.f64 -2 (cos.f64 y)) (/.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) |
(*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) 1) (+.f64 2 (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 2 (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 z 1) (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (/.f64 z (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (/.f64 z (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))) (-.f64 -2 (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (sqrt.f64 z) (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (/.f64 (sqrt.f64 z) (/.f64 1 (+.f64 2 (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (/.f64 (cbrt.f64 z) (/.f64 1 (+.f64 2 (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) 2)) |
(*.f64 (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) (*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(*.f64 (+.f64 (cos.f64 y) 2) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(*.f64 (+.f64 (cos.f64 y) 2) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2))))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2)))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2)))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2))))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2)))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))))) (*.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2))))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2)))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2)))) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(*.f64 (+.f64 (cos.f64 y) 2) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) (sqrt.f64 z)) (*.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) (sqrt.f64 z))) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (sqrt.f64 z)) (*.f64 (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(*.f64 (+.f64 (cos.f64 y) 2) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))) (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y))))))) |
(pow.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 1) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 2) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 3) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (pow.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 3) 1/3) |
(*.f64 (cos.f64 y) z) |
(pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 z (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) -1) |
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))))) |
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) z)) |
(neg.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))) |
(/.f64 (neg.f64 z) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (-.f64 -2 (cos.f64 y)))) |
(/.f64 (neg.f64 z) (neg.f64 (/.f64 1 (cos.f64 y)))) |
(neg.f64 (*.f64 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) 1)) |
(/.f64 (neg.f64 z) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (-.f64 -2 (cos.f64 y)))) |
(/.f64 (neg.f64 z) (neg.f64 (/.f64 1 (cos.f64 y)))) |
(neg.f64 (*.f64 z (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))) |
(*.f64 (neg.f64 z) (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (-.f64 -2 (cos.f64 y)))) |
(*.f64 z (*.f64 (-.f64 -2 (cos.f64 y)) (/.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) |
(neg.f64 (*.f64 1 (/.f64 z (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))))) |
(/.f64 (neg.f64 z) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (-.f64 -2 (cos.f64 y)))) |
(/.f64 (neg.f64 z) (neg.f64 (/.f64 1 (cos.f64 y)))) |
(neg.f64 (*.f64 (/.f64 z (/.f64 (-.f64 -2 (cos.f64 y)) (cos.f64 y))) (+.f64 2 (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
(neg.f64 (/.f64 (neg.f64 z) (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) 2) (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (cos.f64 y) 2))) 2)) |
(fabs.f64 (*.f64 (cos.f64 y) z)) |
(log.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))))) |
(*.f64 (cos.f64 y) z) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))) 3)) |
(*.f64 (cos.f64 y) z) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (/.f64 1 (pow.f64 (cos.f64 y) 3)))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (log.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y)))) 1)) |
(*.f64 (cos.f64 y) z) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 2 (cos.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (cos.f64 y))))) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (/.f64 1 (cos.f64 y)) 2) (*.f64 (/.f64 1 (cos.f64 y)) (cos.f64 y))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(+.f64 (*.f64 (/.f64 1 (cos.f64 y)) (cos.f64 y)) (*.f64 (/.f64 1 (cos.f64 y)) 2)) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(+.f64 (*.f64 2 (/.f64 1 (cos.f64 y))) (*.f64 (cos.f64 y) (/.f64 1 (cos.f64 y)))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) (/.f64 1 (cos.f64 y))) (*.f64 2 (/.f64 1 (cos.f64 y)))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) 1) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (+.f64 2 (cos.f64 y)) (/.f64 1 (cos.f64 y))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (+.f64 2 (cos.f64 y)) (neg.f64 (/.f64 -1 (cos.f64 y)))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) 1) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (/.f64 1 (cos.f64 y)))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (/.f64 1 (cos.f64 y)))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2)) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) |
(+.f64 1 (/.f64 2 (cos.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))))) |
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(*.f64 (/.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))) |
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(*.f64 (/.f64 (+.f64 2 (cos.f64 y)) 1) (/.f64 (/.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y)))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 y) 2))) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (cbrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (cbrt.f64 (+.f64 (cos.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) |
(*.f64 (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (-.f64 4 (pow.f64 (cos.f64 y) 2))) (-.f64 2 (cos.f64 y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (-.f64 4 (pow.f64 (cos.f64 y) 2))) (-.f64 2 (cos.f64 y))) |
(/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (/.f64 (-.f64 4 (pow.f64 (cos.f64 y) 2)) (-.f64 2 (cos.f64 y)))) |
(*.f64 (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 8 (pow.f64 (cos.f64 y) 3))) (+.f64 4 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 3) 8)) (+.f64 4 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 3) 8)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2) 4)) |
(*.f64 -1 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (/.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2) (+.f64 2 (cos.f64 y))) (/.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (/.f64 (+.f64 2 (cos.f64 y)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (/.f64 1 (cos.f64 y)) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 y) 2))) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) |
(*.f64 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (/.f64 1 (cos.f64 y)) (cbrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (cbrt.f64 (+.f64 (cos.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (+.f64 2 (cos.f64 y)))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (cbrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (cbrt.f64 (+.f64 (cos.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (+.f64 2 (cos.f64 y)))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (+.f64 2 (cos.f64 y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 y) 2))) (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2)))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (cos.f64 y)))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) 2) (cbrt.f64 (/.f64 1 (cos.f64 y))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cos.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cos.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))))) |
(/.f64 1 (cos.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 1 (cos.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))))) |
(/.f64 1 (cos.f64 y)) |
(pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 1) |
(/.f64 1 (cos.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 2) |
(/.f64 1 (cos.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 3) |
(/.f64 1 (cos.f64 y)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 3) 1/3) |
(/.f64 1 (cos.f64 y)) |
(pow.f64 (*.f64 (+.f64 2 (cos.f64 y)) (/.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) -1) |
(/.f64 1 (cos.f64 y)) |
(neg.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))) |
(/.f64 1 (cos.f64 y)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 2 (cos.f64 y))) (+.f64 (cos.f64 y) 2)) 2)) |
(fabs.f64 (/.f64 1 (cos.f64 y))) |
(log.f64 (exp.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))))) |
(/.f64 1 (cos.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))) 3)) |
(/.f64 1 (cos.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3))) |
(/.f64 1 (cos.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
(exp.f64 (log.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) 1)) |
(/.f64 1 (cos.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (cos.f64 y)) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) |
(/.f64 1 (cos.f64 y)) |
Compiled 14 to 5 computations (64.3% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (cos.f64 y) | |
| ✓ | 0.1b | (*.f64 (+.f64 1 (cos.f64 y)) z) |
| ✓ | 0.1b | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
| ✓ | 0.4b | (+.f64 1 (cos.f64 y)) |
Compiled 55 to 26 computations (52.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 1 (cos.f64 y)) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
| 1× | batch-egg-rewrite |
| 570× | associate-+l+ |
| 570× | associate-/r* |
| 412× | associate-+r+ |
| 412× | +-commutative |
| 388× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 65 |
| 1 | 352 | 63 |
| 2 | 5031 | 61 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (cos.f64 y)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 z (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 z (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) 0) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) 0) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 1 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (-.f64 1 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (-.f64 1 (cos.f64 y))))) (cbrt.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) 1) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) 1) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sqrt.f64 (-.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (-.f64 1 (cos.f64 y))))) (cbrt.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) 1) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z (*.f64 z (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 z) (log1p.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z (*.f64 z (cos.f64 y))))))))) |
| 1× | egg-herbie |
| 1112× | associate--r+ |
| 600× | associate-*r* |
| 548× | distribute-lft-in |
| 502× | distribute-rgt-in |
| 502× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 514 | 10722 |
| 1 | 1533 | 9984 |
| 2 | 6863 | 9984 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 2 z) x)) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x)))) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (sin.f64 y))) |
x |
x |
(*.f64 2 z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 2 z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(-.f64 (+.f64 1 (cos.f64 y)) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 y)))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(-.f64 (+.f64 2 (cos.f64 y)) 1) |
(*.f64 1 (+.f64 1 (cos.f64 y))) |
(*.f64 (+.f64 1 (cos.f64 y)) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 y))) (hypot.f64 1 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 1 (-.f64 1 (cos.f64 y)))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (+.f64 1 (pow.f64 (cos.f64 y) 3))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1 (cos.f64 y))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (+.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 y)))) |
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y))) |
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (sin.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (cbrt.f64 (sin.f64 y)) (sin.f64 y)))) |
(/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (/.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (/.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) |
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (-.f64 1 (cos.f64 y)) (cbrt.f64 (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (cos.f64 y) 1)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 (-.f64 1 (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 1) (-.f64 1 (cos.f64 y))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (-.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y)))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (-.f64 1 (cos.f64 y))))) (cbrt.f64 (-.f64 1 (cos.f64 y)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(pow.f64 (+.f64 1 (cos.f64 y)) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 y))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 y))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 y)))) |
(exp.f64 (log1p.f64 (cos.f64 y))) |
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y)))) |
(fma.f64 1 (cos.f64 y) 1) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1) |
(-.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) z) |
(-.f64 0 (-.f64 z (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 z (+.f64 0 (cos.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (*.f64 z (cos.f64 y))))) (-.f64 1 (+.f64 z (+.f64 (sin.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)))) (+.f64 1 z)) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)) (*.f64 z (+.f64 0 (cos.f64 y))))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2) (-.f64 z (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2) (*.f64 z z)) 1) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2) (*.f64 z z)) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2) (*.f64 z z)) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y)))))) 2)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2) (*.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y)))))) 2)) (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2) (*.f64 z z)) (-.f64 (*.f64 z z) (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2))) (/.f64 1 (-.f64 z (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 2) (*.f64 z z)) (+.f64 (pow.f64 z 3) (pow.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) 3))) (/.f64 1 (fma.f64 z z (*.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))))) |
(pow.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y)))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y)))))) 3) |
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))) 2)) |
(log.f64 (exp.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y)))))))) |
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) |
(exp.f64 (log.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y)))))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) |
(fma.f64 1 z (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) |
(fma.f64 1 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x)) z) |
(fma.f64 -1 z (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) |
(fma.f64 z -1 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (fma.f64 (+.f64 1 (cos.f64 y)) z (+.f64 (sin.f64 y) x))) |
(+.f64 z (*.f64 z (cos.f64 y))) |
(+.f64 z (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (cos.f64 y)) z) |
(+.f64 (*.f64 (cos.f64 y) z) z) |
(-.f64 0 (-.f64 z (*.f64 z (cos.f64 y)))) |
(-.f64 0 (-.f64 z (*.f64 (cos.f64 y) z))) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 z (cos.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 (cos.f64 y) z))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (*.f64 z (cos.f64 y))))) 1) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) 0) z) |
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 z))) 1) |
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) 0) z) |
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 z))) 1) |
(/.f64 z (/.f64 1 (+.f64 1 (cos.f64 y)))) |
(/.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (-.f64 1 (cos.f64 y)) z)) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))) z)) |
(/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (-.f64 1 (cos.f64 y))) |
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (-.f64 1 (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) 1) (-.f64 1 (cos.f64 y))) |
(/.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y)))) |
(/.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (-.f64 1 (cos.f64 y))))) (cbrt.f64 (-.f64 1 (cos.f64 y)))) |
(/.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) 1) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) 1) (-.f64 1 (cos.f64 y))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sqrt.f64 (-.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (-.f64 1 (cos.f64 y))))) (cbrt.f64 (-.f64 1 (cos.f64 y)))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) 1) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 1) |
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 z (cos.f64 y)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 z (cos.f64 y)))) 3) |
(pow.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 1 (cos.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z (*.f64 z (cos.f64 y)))))) |
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 z (cos.f64 y))))) |
(exp.f64 (+.f64 (log.f64 z) (log1p.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (+.f64 (log.f64 z) (log1p.f64 (cos.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 z (cos.f64 y))))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 y y))) |
(fma.f64 -1/2 (*.f64 y y) 2) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 2)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1))))) |
(*.f64 (neg.f64 z) (neg.f64 (cos.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(fma.f64 -1 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1)))) (+.f64 (sin.f64 y) x)) |
(-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(fma.f64 -1 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1)))) (+.f64 (sin.f64 y) x)) |
(-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) (+.f64 (sin.f64 y) x)) |
(fma.f64 -1 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1)))) (+.f64 (sin.f64 y) x)) |
(-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 2 z) x)) |
(fma.f64 -1 z (fma.f64 2 z x)) |
(+.f64 x z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(fma.f64 2 z (fma.f64 -1 z (+.f64 y x))) |
(+.f64 z (+.f64 y x)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 2 z (fma.f64 -1 z (+.f64 y x)))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 z (+.f64 y x))) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 2 z (fma.f64 -1 z (+.f64 y x))))) |
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 z (+.f64 y x)))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (sin.f64 y))) |
(fma.f64 -1 z (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z z))) |
(-.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z z)) z) |
(+.f64 (sin.f64 y) (-.f64 (fma.f64 (cos.f64 y) z z) z)) |
x |
x |
(*.f64 2 z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 2 z)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 2 z)) |
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 2)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 z (fma.f64 -1/2 (*.f64 y y) 2)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) (*.f64 z (fma.f64 -1/720 (pow.f64 y 6) 2)))) |
(-.f64 (+.f64 1 (cos.f64 y)) 0) |
(+.f64 (cos.f64 y) 1) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 y)))) 1) |
(+.f64 (cos.f64 y) 1) |
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) |
(-.f64 (+.f64 2 (cos.f64 y)) 1) |
(+.f64 (cos.f64 y) 1) |
(*.f64 1 (+.f64 1 (cos.f64 y))) |
(+.f64 (cos.f64 y) 1) |
(*.f64 (+.f64 1 (cos.f64 y)) 1) |
(+.f64 (cos.f64 y) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 y))) (hypot.f64 1 (sqrt.f64 (cos.f64 y)))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 y))) 2) |
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) |
(+.f64 (cos.f64 y) 1) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y)))) |
(+.f64 (cos.f64 y) 1) |
(*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 1 (-.f64 1 (cos.f64 y)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) |
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2))) |
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1)) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) |
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2))) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (+.f64 1 (pow.f64 (cos.f64 y) 3))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (+.f64 1 (cos.f64 y))) |
(+.f64 (cos.f64 y) 1) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (cos.f64 y) (+.f64 1 (pow.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (+.f64 (pow.f64 (sin.f64 y) 2) (cos.f64 y))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))))) (+.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))))) (fma.f64 (sin.f64 y) (sin.f64 y) (cos.f64 y))) |
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(/.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) z) |
(*.f64 z (/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))) |
(/.f64 (/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (-.f64 1 (cos.f64 y))))) (cbrt.f64 (-.f64 1 (cos.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) z) |
(*.f64 z (/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))) |
(/.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) 1) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(*.f64 z (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1))) |
(/.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(*.f64 z (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1))) |
(/.f64 (/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(*.f64 z (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) 1) (-.f64 1 (cos.f64 y))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) z) |
(*.f64 z (/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sqrt.f64 (-.f64 1 (cos.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) z) |
(*.f64 z (/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 y))) (cbrt.f64 (-.f64 1 (cos.f64 y))))) (cbrt.f64 (-.f64 1 (cos.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (cos.f64 y))) z) |
(*.f64 z (/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) 1) (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) |
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(*.f64 z (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(*.f64 z (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) z) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1)))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 1))))) |
(/.f64 (*.f64 z (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1)))) |
(*.f64 z (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) -1) 1))) |
(pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 1) |
(fma.f64 (cos.f64 y) z z) |
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 z (cos.f64 y)))) 2) |
(fma.f64 (cos.f64 y) z z) |
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 z (cos.f64 y)))) 3) |
(fma.f64 (cos.f64 y) z z) |
(pow.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 3) 1/3) |
(fma.f64 (cos.f64 y) z z) |
(sqrt.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 2)) |
(fabs.f64 (fma.f64 (cos.f64 y) z z)) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 1 (cos.f64 y)))) |
(fma.f64 (cos.f64 y) z z) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z (*.f64 z (cos.f64 y)))))) |
(fma.f64 (cos.f64 y) z z) |
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 z (cos.f64 y))) 3)) |
(fma.f64 (cos.f64 y) z z) |
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 z (cos.f64 y))))) |
(fma.f64 (cos.f64 y) z z) |
(exp.f64 (+.f64 (log.f64 z) (log1p.f64 (cos.f64 y)))) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 y)) (log.f64 z))) |
(*.f64 z (exp.f64 (log1p.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (+.f64 (log.f64 z) (log1p.f64 (cos.f64 y))) 1)) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 y)) (log.f64 z))) |
(*.f64 z (exp.f64 (log1p.f64 (cos.f64 y)))) |
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 z (cos.f64 y))))) |
(fma.f64 (cos.f64 y) z z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) |
| ✓ | 0.4b | (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (*.f64 z -1)) |
| 0.4b | (+.f64 (cos.f64 y) 1) | |
| ✓ | 0.5b | (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) |
Compiled 71 to 41 computations (42.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (*.f64 z -1)) |
| 0.0ms | y | @ | 0 | (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) |
| 0.0ms | y | @ | 0 | (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (*.f64 z -1)) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (*.f64 z -1)) |
| 1× | batch-egg-rewrite |
| 1090× | *-commutative |
| 880× | associate-*r/ |
| 828× | distribute-lft-in |
| 804× | distribute-rgt-in |
| 708× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 1 | 282 | 45 |
| 2 | 3530 | 39 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) |
(+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (*.f64 z -1)) |
(*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) 1) (/.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) (/.f64 (+.f64 (cos.f64 y) -1) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z (*.f64 (cos.f64 y) z)))))))) |
| 1× | egg-herbie |
| 1070× | associate-/l* |
| 1064× | associate-*r* |
| 964× | associate-*l* |
| 956× | associate-/r* |
| 624× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 696 | 15115 |
| 1 | 2017 | 14497 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(+.f64 (*.f64 -1 z) (*.f64 2 z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 -1 z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(*.f64 2 z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 2 z)) |
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 3) (pow.f64 z 3)) 1) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (+.f64 (cos.f64 y) 1) (*.f64 z z)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 3) (pow.f64 z 3)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (+.f64 (cos.f64 y) 1) (*.f64 z z))))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (+.f64 (cos.f64 y) 1) (*.f64 z z))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 3) (pow.f64 z 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (+.f64 (cos.f64 y) 1) (*.f64 z z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (+.f64 (cos.f64 y) 1) (*.f64 z z)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (+.f64 (cos.f64 y) 1) (*.f64 z z))))) |
(pow.f64 (*.f64 (cos.f64 y) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) |
(log.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 y) 1)) z) (exp.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z))) |
(fma.f64 1 z (+.f64 z (*.f64 (cos.f64 y) z))) |
(fma.f64 1 (+.f64 z (*.f64 (cos.f64 y) z)) z) |
(fma.f64 (+.f64 (cos.f64 y) 1) z z) |
(fma.f64 z (+.f64 (cos.f64 y) 1) z) |
(fma.f64 z -1 (+.f64 z (*.f64 (cos.f64 y) z))) |
(fma.f64 -1 z (+.f64 z (*.f64 (cos.f64 y) z))) |
(fma.f64 (sqrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) (sqrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (+.f64 z (*.f64 (cos.f64 y) z))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) z) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (+.f64 z (*.f64 (cos.f64 y) z))) |
(+.f64 z (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) z) |
(+.f64 (*.f64 z 0) (+.f64 z (*.f64 (cos.f64 y) z))) |
(+.f64 (*.f64 z (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2))) (*.f64 z (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))) |
(+.f64 (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))))) (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))) |
(+.f64 (*.f64 0 z) (+.f64 z (*.f64 (cos.f64 y) z))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2)) z) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) z)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) z) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) z)) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 (cos.f64 y) z))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (*.f64 (cos.f64 y) z)))) 1) |
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 z))) 1) |
(/.f64 z (/.f64 1 (+.f64 (cos.f64 y) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) -1) z)) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) z)) |
(/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (+.f64 (cos.f64 y) -1)) |
(/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (*.f64 1 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z)) (+.f64 (cos.f64 y) -1)) |
(/.f64 (*.f64 1 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (*.f64 z (-.f64 1 (pow.f64 (cos.f64 y) 2))) (-.f64 1 (cos.f64 y))) |
(/.f64 (*.f64 z (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) (neg.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (*.f64 z (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) z) (-.f64 1 (cos.f64 y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) z) (neg.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) z) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) 1) (+.f64 (cos.f64 y) -1)) |
(/.f64 (*.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1)))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) 1) (+.f64 (cos.f64 y) -1)) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (sqrt.f64 (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) (cbrt.f64 (+.f64 (cos.f64 y) -1)))) (cbrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (+.f64 1 (sqrt.f64 (cos.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) 1)) |
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 1) |
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) 2) |
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) 3) |
(pow.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 y) 1)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z (*.f64 (cos.f64 y) z))))) |
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 (cos.f64 y) z)))) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 y)) (log.f64 z))) |
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 (cos.f64 y) z)))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2))) |
(+.f64 2 (*.f64 -1/2 (*.f64 y y))) |
(+.f64 2 (*.f64 y (*.f64 y -1/2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))) |
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 (cos.f64 y) z) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (cos.f64 y)))) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 2 z)) |
(*.f64 z 1) |
(*.f64 1 z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 -1 z))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 z 1)) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 1 z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 (*.f64 z 1) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 1 z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 (*.f64 z 1) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.f64 (*.f64 1 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (cos.f64 y)) z)) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 z (+.f64 (cos.f64 y) 0)) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 2 z) |
(+.f64 z z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 2 z)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 2 z)) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 z z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 2 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (fma.f64 2 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(*.f64 (+.f64 1 (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z z) |
(+.f64 (cos.f64 y) 1) |
(+.f64 1 (cos.f64 y)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 (+.f64 (cos.f64 y) 1) 0) |
(+.f64 1 (cos.f64 y)) |
(+.f64 0 (+.f64 (cos.f64 y) 1)) |
(+.f64 1 (cos.f64 y)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) |
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(*.f64 z (+.f64 2 (cos.f64 y))) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (+.f64 z (*.f64 (cos.f64 y) z))) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (fma.f64 (cos.f64 y) z z)) |
(+.f64 z (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z z) |
(+.f64 (*.f64 (cos.f64 y) z) z) |
(fma.f64 (cos.f64 y) z z) |
(+.f64 (*.f64 z 0) (+.f64 z (*.f64 (cos.f64 y) z))) |
(fma.f64 (cos.f64 y) z z) |
(+.f64 (*.f64 z (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2))) (*.f64 z (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))) |
(*.f64 z (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y))))))) |
(*.f64 z (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y))))))) |
(+.f64 (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))))) (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))) |
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (cos.f64 y))))) (+.f64 z z)) |
(*.f64 (+.f64 z z) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) |
(+.f64 (*.f64 0 z) (+.f64 z (*.f64 (cos.f64 y) z))) |
(fma.f64 (cos.f64 y) z z) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1))) 2)) z) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) z)) |
(*.f64 z (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y))))))) |
(*.f64 z (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (cos.f64 y))))))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) z) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) z)) |
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (cos.f64 y))))) (+.f64 z z)) |
(*.f64 (+.f64 z z) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (cos.f64 y)))))) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 (cos.f64 y) z))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 (cos.f64 y) z)) |
(+.f64 -1 (fma.f64 (cos.f64 y) z (exp.f64 (log1p.f64 z)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (*.f64 (cos.f64 y) z)))) 1) |
(fma.f64 (cos.f64 y) z z) |
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 z))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 (cos.f64 y) z)) |
(+.f64 -1 (fma.f64 (cos.f64 y) z (exp.f64 (log1p.f64 z)))) |
(/.f64 z (/.f64 1 (+.f64 (cos.f64 y) 1))) |
(*.f64 (/.f64 z 1) (+.f64 1 (cos.f64 y))) |
(/.f64 (fma.f64 (cos.f64 y) z z) 1) |
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) -1) z)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) -1)) z) |
(*.f64 z (/.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) -1))) |
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) z)) |
(*.f64 z (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (+.f64 (cos.f64 y) -1)) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (+.f64 (cos.f64 y) -1)) |
(/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (*.f64 1 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z)) (+.f64 (cos.f64 y) -1)) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (+.f64 (cos.f64 y) -1)) |
(/.f64 (*.f64 1 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (*.f64 z (-.f64 1 (pow.f64 (cos.f64 y) 2))) (-.f64 1 (cos.f64 y))) |
(/.f64 z (/.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y))) z) |
(/.f64 (*.f64 z (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) (neg.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 z (/.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y))) z) |
(/.f64 (*.f64 z (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 z (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 3)))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(*.f64 (/.f64 z (-.f64 -1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (-.f64 -1 (pow.f64 (cos.f64 y) 3))) |
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 z (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 1 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) |
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) (*.f64 z (sqrt.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 1 (cos.f64 y)))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))))) |
(*.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) |
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) (*.f64 z (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))) (cbrt.f64 (+.f64 (cos.f64 y) -1))) |
(*.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 (cos.f64 y) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) z) (-.f64 1 (cos.f64 y))) |
(/.f64 z (/.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y))) z) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) z) (neg.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 z (/.f64 (-.f64 1 (cos.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y))) z) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) z) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 z (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 3)))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(*.f64 (/.f64 z (-.f64 -1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (-.f64 -1 (pow.f64 (cos.f64 y) 3))) |
(/.f64 (*.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) 1) (+.f64 (cos.f64 y) -1)) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (+.f64 (cos.f64 y) -1)) |
(/.f64 (*.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (*.f64 z (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 1 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) (*.f64 z (sqrt.f64 (+.f64 (cos.f64 y) 1)))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) (*.f64 z (sqrt.f64 (+.f64 1 (cos.f64 y)))))) |
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 1 (cos.f64 y)))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 y) 2)))) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) 1) (+.f64 (cos.f64 y) -1)) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (+.f64 (cos.f64 y) -1)) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (sqrt.f64 (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) (sqrt.f64 (+.f64 (cos.f64 y) -1)))) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) (cbrt.f64 (+.f64 (cos.f64 y) -1)))) (cbrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) (cbrt.f64 (+.f64 (cos.f64 y) -1))))) |
(/.f64 (/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) (cbrt.f64 (+.f64 (cos.f64 y) -1)))) (cbrt.f64 (+.f64 (cos.f64 y) -1))) |
(/.f64 (/.f64 (+.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)) z) (+.f64 1 (sqrt.f64 (cos.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) 1)) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (*.f64 (+.f64 (sqrt.f64 (cos.f64 y)) -1) (+.f64 1 (sqrt.f64 (cos.f64 y))))) |
(/.f64 (fma.f64 z (pow.f64 (cos.f64 y) 2) z) (*.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) (+.f64 -1 (sqrt.f64 (cos.f64 y))))) |
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) |
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) |
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) |
(/.f64 (+.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) |
(pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 1) |
(fma.f64 (cos.f64 y) z z) |
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) 2) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z z)) 2) |
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 (cos.f64 y) z))) 3) |
(fma.f64 (cos.f64 y) z z) |
(pow.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 3) 1/3) |
(fma.f64 (cos.f64 y) z z) |
(sqrt.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z z) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 y) 1)) z)) |
(*.f64 z (log.f64 (exp.f64 (+.f64 1 (cos.f64 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z (*.f64 (cos.f64 y) z))))) |
(fma.f64 (cos.f64 y) z z) |
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 (cos.f64 y) z)) 3)) |
(fma.f64 (cos.f64 y) z z) |
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 (cos.f64 y) z)))) |
(fma.f64 (cos.f64 y) z z) |
(exp.f64 (+.f64 (log1p.f64 (cos.f64 y)) (log.f64 z))) |
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 (cos.f64 y) z)))) |
(fma.f64 (cos.f64 y) z z) |
Compiled 41322 to 19789 computations (52.1% saved)
21 alts after pruning (12 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1419 | 5 | 1424 |
| Fresh | 3 | 7 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 9 | 11 |
| Total | 1425 | 21 | 1446 |
| Status | Error | Program |
|---|---|---|
| ✓ | 26.3b | (+.f64 (+.f64 y z) x) |
| 0.1b | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y)))) | |
| 0.1b | (+.f64 (+.f64 x (sin.f64 y)) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) z))) | |
| 33.4b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) | |
| 0.2b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) 2) 2))) | |
| ✓ | 0.0b | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 27.1b | (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| 26.3b | (+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) | |
| 0.2b | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2))) z) (+.f64 (sin.f64 y) x))) | |
| 27.2b | (+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (sin.f64 y))) | |
| ✓ | 24.3b | (+.f64 (sin.f64 y) x) |
| ✓ | 46.1b | (+.f64 z y) |
| ✓ | 22.6b | (+.f64 z x) |
| ✓ | 50.1b | (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
| 62.9b | (*.f64 (*.f64 z -1/2) (*.f64 y y)) | |
| ✓ | 39.0b | (*.f64 (cos.f64 y) z) |
| ✓ | 50.7b | (sin.f64 y) |
| 39.1b | (neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1))))) | |
| 27.7b | (expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) | |
| 48.7b | z | |
| 36.5b | x |
Compiled 233 to 167 computations (28.3% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z (+.f64 x y)) |
(+.f64 (+.f64 y z) x) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) x) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1))))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y)))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) 2) 2))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) z))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2))) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y))))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y))))) |
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (+.f64 0 (cos.f64 y))))))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) (/.f64 1 (cos.f64 y)))) |
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))) (*.f64 z -1))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (/.f64 z (+.f64 2 (cos.f64 y))) (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))) |
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 (cos.f64 y) z)) (*.f64 z -1))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)) (+.f64 2 (cos.f64 y))))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 z (+.f64 2 (cos.f64 y))) (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) z) (+.f64 (cos.f64 y) 2))) |
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 1 (+.f64 1 (cos.f64 y)))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2))))) |
| Outputs |
|---|
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
4 calls:
| 24.0ms | y |
| 18.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.0ms | x |
| 17.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 528 to 223 computations (57.8% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z (+.f64 x y)) |
(+.f64 (+.f64 y z) x) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) x) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1))))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 z (/.f64 1 (cos.f64 y)))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (-.f64 (+.f64 (cos.f64 y) 2) 2))) |
(+.f64 (+.f64 x (sin.f64 y)) (/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) z))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 (+.f64 1 (cos.f64 y)) z) (+.f64 (sin.f64 y) x))) |
(+.f64 (+.f64 x (sin.f64 y)) (+.f64 (*.f64 z (+.f64 (cos.f64 y) 1)) (*.f64 z -1))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
4 calls:
| 11.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | x |
| 10.0ms | y |
| 10.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 194 to 95 computations (51% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z (+.f64 x y)) |
(+.f64 (+.f64 y z) x) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) x) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1))))) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(+.f64 z x) |
(+.f64 (sin.f64 y) x) |
(+.f64 z x) |
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) |
3 calls:
| 49.0ms | z |
| 30.0ms | y |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.7b | 3 | x |
| 8.8b | 4 | y |
| 5.7b | 5 | z |
Compiled 87 to 46 computations (47.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 9.693738093595571e+184 | 7.736827556940815e+186 |
| 28.0ms | 3.623623540808796e+50 | 1.6679453530658904e+52 |
| 4.0ms | -3.84830741504299e-42 | -3.658940290207169e-42 |
| 92.0ms | -7.0786371862387225e+56 | -2.943854301170101e+36 |
| 79.0ms | 302× | body | 256 | valid |
| 62.0ms | 91× | body | 1024 | valid |
| 8.0ms | 23× | body | 512 | valid |
Compiled 429 to 313 computations (27% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z (+.f64 x y)) |
(+.f64 (+.f64 y z) x) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(+.f64 (sin.f64 y) x) |
(neg.f64 (*.f64 z (+.f64 1 (neg.f64 (+.f64 (cos.f64 y) 1))))) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(+.f64 z x) |
(+.f64 (sin.f64 y) x) |
(+.f64 z x) |
(*.f64 (cos.f64 y) z) |
3 calls:
| 40.0ms | x |
| 33.0ms | z |
| 31.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.1b | 6 | x |
| 9.9b | 4 | y |
| 5.7b | 5 | z |
Compiled 80 to 45 computations (43.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 9.693738093595571e+184 | 7.736827556940815e+186 |
| 28.0ms | 3.623623540808796e+50 | 1.6679453530658904e+52 |
| 4.0ms | -3.84830741504299e-42 | -3.658940290207169e-42 |
| 43.0ms | -7.0786371862387225e+56 | -2.943854301170101e+36 |
| 50.0ms | 300× | body | 256 | valid |
| 44.0ms | 91× | body | 1024 | valid |
| 7.0ms | 25× | body | 512 | valid |
Compiled 408 to 299 computations (26.7% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z (+.f64 x y)) |
(+.f64 (+.f64 y z) x) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
(*.f64 (cos.f64 y) z) |
(+.f64 z x) |
(sin.f64 y) |
(+.f64 z x) |
(sin.f64 y) |
(+.f64 z x) |
(*.f64 (cos.f64 y) z) |
3 calls:
| 42.0ms | z |
| 35.0ms | y |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 4 | x |
| 15.9b | 6 | y |
| 14.3b | 7 | z |
Compiled 66 to 37 computations (43.9% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 9.693738093595571e+184 | 7.736827556940815e+186 |
| 40.0ms | 2.1769663821933203e-79 | 2.4161756864929212e-52 |
| 17.0ms | 5.773921286138642e-118 | 1.9042184201463383e-117 |
| 26.0ms | -1.7619054519375863e-290 | -6.813634679124285e-292 |
| 30.0ms | -8.021646700538729e-240 | -4.9288710595404694e-248 |
| 41.0ms | -7.0786371862387225e+56 | -2.943854301170101e+36 |
| 100.0ms | 629× | body | 256 | valid |
| 61.0ms | 124× | body | 1024 | valid |
| 13.0ms | 47× | body | 512 | valid |
Compiled 704 to 531 computations (24.6% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z (+.f64 x y)) |
(+.f64 (+.f64 y z) x) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 z x) |
(sin.f64 y) |
(+.f64 z x) |
(+.f64 z (+.f64 x y)) |
(sin.f64 y) |
(+.f64 z x) |
3 calls:
| 36.0ms | y |
| 25.0ms | z |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 3 | x |
| 16.9b | 6 | y |
| 19.9b | 5 | z |
Compiled 62 to 35 computations (43.5% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 3.6605428471246384e+50 | 4.960990144999222e+54 |
| 21.0ms | 1561580515784.908 | 30658948246815.375 |
| 23.0ms | -1.1711526010245641e+55 | -3.7309426828329156e+52 |
| 55.0ms | -2.2461406681713593e+186 | -4.2992822394359126e+173 |
| 51.0ms | -3.499999791173523e+225 | -1.4980404023650636e+220 |
| 87.0ms | 193× | body | 1024 | valid |
| 79.0ms | 479× | body | 256 | valid |
Compiled 602 to 448 computations (25.6% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z (+.f64 x y)) |
(+.f64 (+.f64 y z) x) |
(*.f64 (*.f64 z -1/2) (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z) |
(+.f64 (*.f64 2 z) (+.f64 (*.f64 -1 z) (+.f64 y x))) |
| Outputs |
|---|
(+.f64 z x) |
(+.f64 z (+.f64 x y)) |
(+.f64 z x) |
3 calls:
| 15.0ms | y |
| 15.0ms | x |
| 15.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 19.5b | 3 | x |
| 19.1b | 3 | y |
| 21.4b | 3 | z |
Compiled 60 to 34 computations (43.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.6493249684827952e-19 | 1.946342954326571e-16 |
| 24.0ms | -1.1711526010245641e+55 | -3.7309426828329156e+52 |
| 43.0ms | 256× | body | 256 | valid |
Compiled 274 to 189 computations (31% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
(+.f64 z y) |
| Outputs |
|---|
(+.f64 z x) |
(+.f64 z y) |
(+.f64 z x) |
3 calls:
| 10.0ms | x |
| 5.0ms | z |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.6b | 3 | x |
| 22.6b | 1 | y |
| 22.6b | 1 | z |
Compiled 23 to 14 computations (39.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 2.081128024071469e-214 | 9.721649711261874e-213 |
| 44.0ms | -7.604893431849776e-155 | -7.008001333398623e-167 |
| 36.0ms | 78× | body | 1024 | valid |
| 25.0ms | 164× | body | 256 | valid |
| 10.0ms | 30× | body | 512 | valid |
Compiled 256 to 183 computations (28.5% saved)
| Inputs |
|---|
x |
z |
(+.f64 z x) |
| Outputs |
|---|
(+.f64 z x) |
3 calls:
| 5.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 22.6b | 1 | x |
| 22.6b | 1 | y |
| 22.6b | 1 | z |
Compiled 20 to 13 computations (35% saved)
Total -33.5b remaining (-116.2%)
Threshold costs -33.5b (-116.2%)
| Inputs |
|---|
x |
z |
| Outputs |
|---|
x |
z |
x |
3 calls:
| 12.0ms | x |
| 12.0ms | y |
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 28.8b | 3 | x |
| 33.0b | 3 | y |
| 29.0b | 3 | z |
Compiled 17 to 12 computations (29.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.0426227704680305e+21 | 5.970492450966184e+21 |
| 45.0ms | -1.3348572874467565e-67 | -3.328679314615071e-80 |
| 28.0ms | 175× | body | 256 | valid |
| 28.0ms | 59× | body | 1024 | valid |
| 6.0ms | 22× | body | 512 | valid |
Compiled 178 to 141 computations (20.8% saved)
| 1× | egg-herbie |
| 14× | +-commutative |
| 6× | if-if-or-not |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 535 |
| 1 | 115 | 535 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 z -105000000000000009922023577087297920758935868646883328) (*.f64 (cos.f64 y) z) (if (<=.f64 z -5963246648617347/1569275433846670190958947355801916604025588861116008628224) (+.f64 z x) (if (<=.f64 z 370000000000000007460960977900671398069385075621888) (+.f64 (sin.f64 y) x) (if (<=.f64 z 1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080) (+.f64 z x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(if (<=.f64 z -699999999999999998997770108183462681620316591110295126016) (*.f64 (cos.f64 y) z) (if (<=.f64 z -5963246648617347/1569275433846670190958947355801916604025588861116008628224) (+.f64 z x) (if (<=.f64 z 370000000000000007460960977900671398069385075621888) (+.f64 (sin.f64 y) x) (if (<=.f64 z 102000000000000005166946360870238343756711999587894119071387219333225364870443329695287879296186186483380768503051050035745398054457692994234449757007449918495593265954858080850468143104) (+.f64 z x) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 z -1599999999999999989153517878978604762338733507110502400) (*.f64 (cos.f64 y) z) (if (<=.f64 z -3148880786512287/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (+.f64 z x) (if (<=.f64 z -1158669403329227/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (sin.f64 y) (if (<=.f64 z 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 z x) (if (<=.f64 z 4052723123306067/231584178474632390847141970017375815706539969331281128078915168015826259279872) (sin.f64 y) (if (<=.f64 z 880000000000000030369717906218998659266172554292662457556107886012992123426734419975820151196653773571592292298666247995412688981465229347200110669367015268358150210687449317520040787968) (+.f64 z x) (*.f64 (cos.f64 y) z))))))) |
(if (<=.f64 y -40999999999999999984354794284211036617722574770377332586446306143326348221887809131336447039253402825645839227841978121471549406951955045981833265939653021031925905735287192897479681815557885550804859707043131109690809778176) (+.f64 z x) (if (<=.f64 y -1450000000000000000636413443265217816037774353113071522833436335819823686448714011517441895997264995052987442939133019904128089396278510577367074470282455695467721851127435326776164745216) (sin.f64 y) (if (<=.f64 y -719999999999999995119083045540372143052430078199726080) (+.f64 z x) (if (<=.f64 y 3800000000000) (+.f64 z (+.f64 x y)) (if (<=.f64 y 1419999999999999983727607138668932362056590686158848) (sin.f64 y) (+.f64 z x)))))) |
(if (<=.f64 y -2849999999999999831806168194020061967689478308141989888) (+.f64 z x) (if (<=.f64 y 7788445287802241/40564819207303340847894502572032) (+.f64 z (+.f64 x y)) (+.f64 z x))) |
(if (<=.f64 x -2987651209594315/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (+.f64 z x) (if (<=.f64 x 4851619038439715/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976) (+.f64 z y) (+.f64 z x))) |
(+.f64 z x) |
(if (<=.f64 x -2003377295107783/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 x 1100000000000000000000) z x)) |
x |
| Outputs |
|---|
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(if (<=.f64 z -105000000000000009922023577087297920758935868646883328) (*.f64 (cos.f64 y) z) (if (<=.f64 z -5963246648617347/1569275433846670190958947355801916604025588861116008628224) (+.f64 z x) (if (<=.f64 z 370000000000000007460960977900671398069385075621888) (+.f64 (sin.f64 y) x) (if (<=.f64 z 1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080) (+.f64 z x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(if (<=.f64 z -105000000000000009922023577087297920758935868646883328) (*.f64 z (cos.f64 y)) (if (<=.f64 z -5963246648617347/1569275433846670190958947355801916604025588861116008628224) (+.f64 z x) (if (<=.f64 z 370000000000000007460960977900671398069385075621888) (+.f64 x (sin.f64 y)) (if (<=.f64 z 1999999999999999959234088337507430342214258903733683304135264237914896909571122220072342892220791970157205022783259144237767019517472760523037789559840158117208617709883954451835865006080) (+.f64 z x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z -699999999999999998997770108183462681620316591110295126016) (*.f64 (cos.f64 y) z) (if (<=.f64 z -5963246648617347/1569275433846670190958947355801916604025588861116008628224) (+.f64 z x) (if (<=.f64 z 370000000000000007460960977900671398069385075621888) (+.f64 (sin.f64 y) x) (if (<=.f64 z 102000000000000005166946360870238343756711999587894119071387219333225364870443329695287879296186186483380768503051050035745398054457692994234449757007449918495593265954858080850468143104) (+.f64 z x) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 z -699999999999999998997770108183462681620316591110295126016) (*.f64 z (cos.f64 y)) (if (<=.f64 z -5963246648617347/1569275433846670190958947355801916604025588861116008628224) (+.f64 z x) (if (<=.f64 z 370000000000000007460960977900671398069385075621888) (+.f64 x (sin.f64 y)) (if (<=.f64 z 102000000000000005166946360870238343756711999587894119071387219333225364870443329695287879296186186483380768503051050035745398054457692994234449757007449918495593265954858080850468143104) (+.f64 z x) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z -1599999999999999989153517878978604762338733507110502400) (*.f64 (cos.f64 y) z) (if (<=.f64 z -3148880786512287/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (+.f64 z x) (if (<=.f64 z -1158669403329227/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (sin.f64 y) (if (<=.f64 z 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 z x) (if (<=.f64 z 4052723123306067/231584178474632390847141970017375815706539969331281128078915168015826259279872) (sin.f64 y) (if (<=.f64 z 880000000000000030369717906218998659266172554292662457556107886012992123426734419975820151196653773571592292298666247995412688981465229347200110669367015268358150210687449317520040787968) (+.f64 z x) (*.f64 (cos.f64 y) z))))))) |
(if (<=.f64 z -1599999999999999989153517878978604762338733507110502400) (*.f64 z (cos.f64 y)) (if (<=.f64 z -3148880786512287/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (+.f64 z x) (if (<=.f64 z -1158669403329227/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (sin.f64 y) (if (<=.f64 z 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 z x) (if (<=.f64 z 4052723123306067/231584178474632390847141970017375815706539969331281128078915168015826259279872) (sin.f64 y) (if (<=.f64 z 880000000000000030369717906218998659266172554292662457556107886012992123426734419975820151196653773571592292298666247995412688981465229347200110669367015268358150210687449317520040787968) (+.f64 z x) (*.f64 z (cos.f64 y)))))))) |
(if (<=.f64 y -40999999999999999984354794284211036617722574770377332586446306143326348221887809131336447039253402825645839227841978121471549406951955045981833265939653021031925905735287192897479681815557885550804859707043131109690809778176) (+.f64 z x) (if (<=.f64 y -1450000000000000000636413443265217816037774353113071522833436335819823686448714011517441895997264995052987442939133019904128089396278510577367074470282455695467721851127435326776164745216) (sin.f64 y) (if (<=.f64 y -719999999999999995119083045540372143052430078199726080) (+.f64 z x) (if (<=.f64 y 3800000000000) (+.f64 z (+.f64 x y)) (if (<=.f64 y 1419999999999999983727607138668932362056590686158848) (sin.f64 y) (+.f64 z x)))))) |
(if (<=.f64 y -40999999999999999984354794284211036617722574770377332586446306143326348221887809131336447039253402825645839227841978121471549406951955045981833265939653021031925905735287192897479681815557885550804859707043131109690809778176) (+.f64 z x) (if (<=.f64 y -1450000000000000000636413443265217816037774353113071522833436335819823686448714011517441895997264995052987442939133019904128089396278510577367074470282455695467721851127435326776164745216) (sin.f64 y) (if (<=.f64 y -719999999999999995119083045540372143052430078199726080) (+.f64 z x) (if (<=.f64 y 3800000000000) (+.f64 z (+.f64 y x)) (if (<=.f64 y 1419999999999999983727607138668932362056590686158848) (sin.f64 y) (+.f64 z x)))))) |
(if (<=.f64 y -2849999999999999831806168194020061967689478308141989888) (+.f64 z x) (if (<=.f64 y 7788445287802241/40564819207303340847894502572032) (+.f64 z (+.f64 x y)) (+.f64 z x))) |
(if (or (<=.f64 y -2849999999999999831806168194020061967689478308141989888) (not (<=.f64 y 7788445287802241/40564819207303340847894502572032))) (+.f64 z x) (+.f64 z (+.f64 y x))) |
(if (<=.f64 x -2987651209594315/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (+.f64 z x) (if (<=.f64 x 4851619038439715/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976) (+.f64 z y) (+.f64 z x))) |
(+.f64 z x) |
(if (<=.f64 x -2003377295107783/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) x (if (<=.f64 x 1100000000000000000000) z x)) |
x |
Compiled 253 to 143 computations (43.5% saved)
| 1× | egg-herbie |
| 14× | +-commutative |
| 12× | fma-def |
| 4× | associate-+l+ |
| 2× | associate-+r+ |
| 2× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 16 | 23 |
| 2 | 25 | 23 |
| 3 | 31 | 23 |
| 1× | saturated |
Compiled 29 to 10 computations (65.5% saved)
Compiled 223 to 90 computations (59.6% saved)
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