Details

Time bar (total: 9.0s)

analyze343.0ms (3.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.5s (27.8%)

Results
1.2s2143×body1024valid
977.0ms5048×body256valid
342.0ms1058×body512valid
5.0msbody2048valid
Bogosity

preprocess14.0ms (0.2%)

Algorithm
egg-herbie
Rules
32×fma-def
16×*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02492
14192
25392
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (*.f64 z (sin.f64 x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 y (sin.f64 z)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
11623
21923
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

eval0.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series13.0ms (0.1%)

Counts
3 → 64
Calls

21 calls:

TimeVariablePointExpression
4.0ms
y
@0
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
@0
(*.f64 x (cos.f64 y))
1.0ms
z
@0
(*.f64 z (sin.f64 y))
1.0ms
z
@-inf
(*.f64 z (sin.f64 y))
1.0ms
y
@0
(*.f64 x (cos.f64 y))

rewrite80.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1082×*-commutative
920×unswap-sqr
660×swap-sqr
474×distribute-lft-in
468×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
122645
2291945
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> 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simplify109.0ms (1.2%)

Algorithm
egg-herbie
Rules
672×distribute-lft-neg-in
662×associate-+r+
638×distribute-rgt-neg-in
630×+-commutative
558×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03207858
18747414
241457408
Stop Event
node limit
Counts
174 → 202
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)))
(+.f64 x (*.f64 x (+.f64 (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 1/24 (pow.f64 y 4))) (*.f64 -1/2 (*.f64 y y)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(*.f64 (cos.f64 y) x)
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(*.f64 (cos.f64 y) x)
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(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(fabs.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

eval62.0ms (0.7%)

Compiler

Compiled 6095 to 1886 computations (69.1% saved)

prune60.0ms (0.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New17824202
Fresh000
Picked011
Done000
Total17825203
Error
0.0b
Counts
203 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
27.5b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
53.5b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
27.8b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
43.2b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
43.3b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
37.2b
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))
0.2b
(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
31.7b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
0.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
32.8b
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
32.0b
(+.f64 (*.f64 y z) x)
30.2b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
22.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
31.2b
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
16.0b
(+.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
25.1b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
13.9b
(+.f64 x (*.f64 z (sin.f64 y)))
37.5b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
37.5b
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
27.2b
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
33.2b
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
36.6b
(*.f64 z (sin.f64 y))
Compiler

Compiled 1224 to 670 computations (45.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.1b
(*.f64 x (cos.f64 y))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms
z
@inf
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms
y
@-inf
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms
z
@0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
0.0ms
y
@0
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

rewrite65.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
934×*-commutative
908×cbrt-prod
826×sqrt-prod
730×unswap-sqr
564×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
121323
2250723
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z 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simplify77.0ms (0.9%)

Algorithm
egg-herbie
Rules
1602×associate-+r+
1302×associate-+l+
702×fma-def
656×*-commutative
584×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01563321
13973267
217473193
356573193
Stop Event
node limit
Counts
85 → 85
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(fabs.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 x y)) x))
(fma.f64 x (*.f64 y (*.f64 y -1/2)) (fma.f64 y z x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 -1/2 (*.f64 y (*.f64 x y)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) -1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/2)))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/2)))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 5/2)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 5)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 7))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
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(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

localize5.0ms (0.1%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
2.4b
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
7.3b
(log.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 40 to 10 computations (75% saved)

series91.0ms (1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
27.0ms
y
@-inf
(log.f64 (*.f64 z (sin.f64 y)))
21.0ms
z
@0
(log.f64 (*.f64 z (sin.f64 y)))
16.0ms
y
@inf
(log.f64 (*.f64 z (sin.f64 y)))
15.0ms
z
@-inf
(log.f64 (*.f64 z (sin.f64 y)))
10.0ms
z
@inf
(log.f64 (*.f64 z (sin.f64 y)))

rewrite55.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1452×add-sqr-sqrt
1442×*-un-lft-identity
1328×add-cube-cbrt
1308×add-cbrt-cube
1292×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
116526
2179526
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(log.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sin.f64 y)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 z) (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)))) (-.f64 (log.f64 z) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3)) (+.f64 (*.f64 (log.f64 z) (log.f64 z)) (-.f64 (*.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y))) (*.f64 (log.f64 z) (log.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 z (sin.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y))))) (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))

simplify69.0ms (0.8%)

Algorithm
egg-herbie
Rules
1492×associate-*r/
1034×associate-*l/
988×fma-def
728×unswap-sqr
596×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01711605
14141583
214911561
352721561
Stop Event
node limit
Counts
93 → 90
Calls
Call 1
Inputs
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y)))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 (log.f64 (sin.f64 y)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 0 (log.f64 (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (sin.f64 y)) 1))
(-.f64 (+.f64 1 (log.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)))) (-.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3)) (+.f64 (*.f64 (log.f64 z) (log.f64 z)) (-.f64 (*.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y))) (*.f64 (log.f64 z) (log.f64 (sin.f64 y))))))
(pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y))))) (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
Outputs
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 (sin.f64 y))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 (sin.f64 y))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 (sin.f64 y))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (neg.f64 (sin.f64 y))))
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))
(+.f64 (log.f64 z) (log.f64 y))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y)))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (log.f64 y)))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y -1/6) (log.f64 y)))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(+.f64 (log.f64 z) (+.f64 (fma.f64 -1/6 (*.f64 y y) (log.f64 y)) (*.f64 -1/180 (pow.f64 y 4))))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y))))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y))))
(+.f64 (log.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))))
(+.f64 (log.f64 z) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))))
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (fma.f64 -1/2835 (pow.f64 y 6) (log.f64 y)))))
(+.f64 (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/2835 (pow.f64 y 6) (log.f64 y))) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 z)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 z y (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(+.f64 (log.f64 (sin.f64 y)) (log.f64 z))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 z) (log.f64 (sin.f64 y)))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 0 (log.f64 (*.f64 z (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (sin.f64 y)) 1))
(log.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (log.f64 (*.f64 z (sin.f64 y)))) 1)
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1)
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 1 (log.f64 (*.f64 z (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2))
(log.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)))) (-.f64 (log.f64 z) (log.f64 (sin.f64 y))))
(log.f64 (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3)) (+.f64 (*.f64 (log.f64 z) (log.f64 z)) (-.f64 (*.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y))) (*.f64 (log.f64 z) (log.f64 (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3)) (fma.f64 (log.f64 z) (log.f64 z) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 (sin.f64 y)) 3)) (fma.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)) (*.f64 (log.f64 z) (log.f64 z))))
(pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 1)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 3)
(log.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3)
(log.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 2))
(log.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 z (sin.f64 y))) 3))
(log.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 z (sin.f64 y)))) 1))
(log.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (-.f64 (*.f64 z (sin.f64 y)) 1))
(log1p.f64 (fma.f64 z (sin.f64 y) -1))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y))))) (sqrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (E.f64) (log.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (*.f64 x (cos.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
0.3b
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
1.0ms
y
@inf
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1592×add-sqr-sqrt
1574×*-un-lft-identity
1458×add-cube-cbrt
1440×add-cbrt-cube
1424×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120026
2203626
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(sqrt.f64 (*.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))))))

simplify73.0ms (0.8%)

Algorithm
egg-herbie
Rules
848×fma-def
814×unswap-sqr
634×*-commutative
514×+-commutative
408×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591425
13681367
212961275
340111275
467651275
Stop Event
node limit
Counts
77 → 85
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(sqrt.f64 x)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 x) (*.f64 -1/4 (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(*.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))
(pow.f64 (*.f64 x (cos.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
Outputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 (*.f64 -1/2 y) y) x x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (*.f64 x 1/16)) x))
(fma.f64 x (*.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (*.f64 x 1/16)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (*.f64 y (*.f64 y (sqrt.f64 x))) (fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 x 1/16)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (*.f64 1/2 (*.f64 (*.f64 x -1/48) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 x) (*.f64 -1/4 (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (*.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (+.f64 (*.f64 x -1/720) (*.f64 1/4 (-.f64 (*.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (*.f64 y (*.f64 y (sqrt.f64 x))) (fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 x 1/16)) (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (*.f64 (fma.f64 x -1/720 (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 x 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 x -1/48)) (*.f64 (pow.f64 y 6) (fma.f64 (*.f64 x -1/48) 1/4 (*.f64 x -1/720))))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 x -1/48)) (*.f64 (pow.f64 y 6) (fma.f64 x -1/720 (*.f64 -1/4 (*.f64 x 1/48))))))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (cos.f64 y))) 1)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 1/4)) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 1 (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) (pow.f64 (*.f64 x (cos.f64 y)) 1/4))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 x (cos.f64 y)) 1/2)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/4) 2)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 3)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1/2))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) 1))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(sqrt.f64 (*.f64 x (cos.f64 y)))

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
0.6b
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)
1.8b
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))
26.4b
(cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
Compiler

Compiled 167 to 46 computations (72.5% saved)

series44.0ms (0.5%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
5.0ms
x
@0
(cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
4.0ms
z
@0
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
3.0ms
y
@0
(cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
3.0ms
y
@inf
(cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
2.0ms
y
@-inf
(cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))

rewrite110.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1184×associate-*r/
454×associate-+l+
454×add-sqr-sqrt
446×*-un-lft-identity
440×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021146
1444146
25766146
Stop Event
node limit
Counts
4 → 172
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
Outputs
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simplify143.0ms (1.6%)

Algorithm
egg-herbie
Rules
1238×associate-*l*
1172×fma-def
920×*-commutative
554×+-commutative
424×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076023236
1219620308
Stop Event
node limit
Counts
268 → 361
Calls
Call 1
Inputs
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))))) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (pow.f64 z 2)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2)) 2) (pow.f64 x 2)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))))) (pow.f64 (pow.f64 x 2) 1/3)))
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(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
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(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
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(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
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(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 4))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 4))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) 1) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 4)))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2) 1) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2) 1) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 4))))
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(fma.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(fma.f64 1 (pow.f64 (*.f64 (cos.f64 y) x) 2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(fma.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1/6) (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1/6) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) 1)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
Outputs
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))))) (pow.f64 (pow.f64 x 2) 1/3))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)))) (cbrt.f64 (*.f64 x x)))
(fma.f64 1/3 (*.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 z z)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 y y))) (cbrt.f64 (*.f64 x x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (pow.f64 z 2)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2)) 2) (pow.f64 x 2)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))))) (pow.f64 (pow.f64 x 2) 1/3)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 x x) 1/3) (fma.f64 -1/3 (*.f64 z z) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)) 2) (*.f64 x x))))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)))) (cbrt.f64 (*.f64 x x))))
(+.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (fma.f64 (*.f64 x x) 1/3 (*.f64 1/3 (*.f64 z z))) (*.f64 (/.f64 1/3 x) (/.f64 (pow.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 z z)) 2) x)))) (*.f64 y (*.f64 y (-.f64 (*.f64 x (neg.f64 x)) (*.f64 z z)))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (pow.f64 z 2)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2)) 2) (pow.f64 x 2)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (+.f64 (*.f64 -1/360 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))) (+.f64 (*.f64 1/36 (pow.f64 z 2)) (+.f64 (*.f64 1/60 (pow.f64 z 2)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (pow.f64 z 2)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2)) 2) (pow.f64 x 2))))) (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2))) (pow.f64 x 2))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 z 2)) 3) (pow.f64 x 4)))))))))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 x x) 1/3) (fma.f64 -1/3 (*.f64 z z) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)) 2) (*.f64 x x))))))) (+.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (*.f64 y y) (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)))) (cbrt.f64 (*.f64 x x))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 (*.f64 x x) -2/45) (+.f64 (*.f64 (*.f64 z z) 2/45) (fma.f64 2/3 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/3) (fma.f64 -1/3 (*.f64 z z) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)) 2) (*.f64 x x))))) (/.f64 (*.f64 x x) (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)))) (*.f64 1/27 (/.f64 (pow.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 z z)) 3) (pow.f64 x 4)))))))))))
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(pow.f64 x 2)
(*.f64 x x)
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(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
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(fma.f64 2/3 (*.f64 x (*.f64 (cos.f64 y) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (pow.f64 (*.f64 z (sin.f64 y)) 1/18)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
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(pow.f64 x 1/3)
(cbrt.f64 x)
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(fma.f64 -1/3 (*.f64 y (*.f64 z (*.f64 (pow.f64 (/.f64 (/.f64 1 x) x) 1/18) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)))) (cbrt.f64 x))
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(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
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(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
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(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
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(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
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(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))))
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(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
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(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/18)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1/18) (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 x (cos.f64 y)))))
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(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) 2)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))

eval342.0ms (3.8%)

Compiler

Compiled 30089 to 12086 computations (59.8% saved)

prune169.0ms (1.9%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New74114755
Fresh11819
Picked101
Done235
Total75525780
Error
0.0b
Counts
780 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
28.0b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) 3)))
43.6b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))
37.2b
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
0.2b
(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
43.6b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 y z))
0.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
0.8b
(+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
31.2b
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
32.0b
(+.f64 (*.f64 y z) x)
30.2b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
31.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
30.9b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0b
(+.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
25.1b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
13.9b
(+.f64 x (*.f64 z (sin.f64 y)))
37.7b
(+.f64 x (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
26.1b
(*.f64 (cos.f64 y) x)
36.6b
(*.f64 z (sin.f64 y))
39.0b
x
Compiler

Compiled 789 to 503 computations (36.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
0.2b
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
0.2b
(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 45 to 14 computations (68.9% saved)

series24.0ms (0.3%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
13.0ms
z
@-inf
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
2.0ms
y
@0
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
1.0ms
x
@0
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
1.0ms
y
@inf
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
1.0ms
x
@inf
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))

rewrite91.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1082×*-commutative
862×unswap-sqr
636×swap-sqr
474×sqr-pow
464×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01475
127975
2305275
Stop Event
node limit
Counts
3 → 201
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (cos.f64 y) (neg.f64 x))) (*.f64 -1 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) (neg.f64 x)) -1) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (cos.f64 y) (neg.f64 x))) (neg.f64 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> 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simplify129.0ms (1.4%)

Algorithm
egg-herbie
Rules
1386×distribute-rgt-in
1382×distribute-lft-in
554×associate-*r*
500×associate-/l*
468×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039612965
1108312139
2484312139
Stop Event
node limit
Counts
309 → 270
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 x)
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(/.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -1) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -1)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)) -1) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) -1)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) -1) (cbrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1)) (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -2)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
Outputs
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 z y (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(fma.f64 z y (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 z y (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(fma.f64 z y (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(-.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x))
(+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))))))
(+.f64 (-.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x)) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))
(+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x)))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (*.f64 (cos.f64 y) x) 2)) (sin.f64 y)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 (cos.f64 y) x) 3)))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (*.f64 (/.f64 z (pow.f64 (*.f64 (cos.f64 y) x) 2)) (sin.f64 y))))
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(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
Compiler

Compiled 11 to 5 computations (54.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
0.1b
(pow.f64 (*.f64 x (cos.f64 y)) 3)
38.2b
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
Compiler

Compiled 44 to 17 computations (61.4% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
1.0ms
y
@0
(pow.f64 (*.f64 x (cos.f64 y)) 3)
1.0ms
y
@inf
(pow.f64 (*.f64 x (cos.f64 y)) 3)
1.0ms
y
@-inf
(pow.f64 (*.f64 x (cos.f64 y)) 3)
1.0ms
x
@-inf
(pow.f64 (*.f64 x (cos.f64 y)) 3)

rewrite59.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1668×add-sqr-sqrt
1638×*-un-lft-identity
1538×add-cube-cbrt
1522×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
120528
2219628
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))))))

simplify72.0ms (0.8%)

Algorithm
egg-herbie
Rules
1196×fma-def
972×distribute-lft-out
906×*-commutative
738×distribute-lft-neg-in
670×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801871
14561847
218701793
360571771
Stop Event
node limit
Counts
107 → 94
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))) x) (*.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1)
(*.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(*.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1) (*.f64 x (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (cos.f64 y) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (cos.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2))) x)
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
(*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))
(fma.f64 y (*.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2)))
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3)))
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) 1/3) (*.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (*.f64 (pow.f64 x 3) 1/3)) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (fma.f64 y (*.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2))))
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))) (pow.f64 y 4)) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 2))) x) (*.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 x 3))))
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) 1/3) (*.f64 (pow.f64 x 3) 13/24)) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x (*.f64 (*.f64 x x) 1/3)) (fma.f64 (*.f64 (*.f64 x x) -2/45) x (*.f64 -1/720 (pow.f64 x 3))))) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 x 3) 13/24 (*.f64 (pow.f64 x 3) 1/3)) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 x 3) -1/24 (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 1/3) (fma.f64 -1/720 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -2/45)))) (fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) -3/2) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 1/3) (fma.f64 (pow.f64 x 3) -1/24 (*.f64 (pow.f64 x 3) -11/240))) (fma.f64 y (*.f64 y (*.f64 (pow.f64 x 3) -3/2)) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 1/3) (*.f64 (pow.f64 x 3) -7/80)) (*.f64 (pow.f64 x 3) (+.f64 1 (*.f64 (*.f64 y y) -3/2)))))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (cos.f64 y) x)
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 1 1/3) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2)))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))
(*.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1/3))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 2))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3/2) (pow.f64 (*.f64 x (cos.f64 y)) 3/2))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) x) (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (cos.f64 y)) x)
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 1) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 3) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (cos.f64 y)))) 1))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) x) 3)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
0.1b
(*.f64 (sin.f64 y) (sqrt.f64 z))
Compiler

Compiled 42 to 10 computations (76.2% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
1.0ms
z
@0
(*.f64 (sin.f64 y) (sqrt.f64 z))
1.0ms
z
@-inf
(*.f64 (sin.f64 y) (sqrt.f64 z))
1.0ms
y
@0
(*.f64 (sin.f64 y) (sqrt.f64 z))
0.0ms
y
@inf
(*.f64 (sin.f64 y) (sqrt.f64 z))

rewrite53.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1644×add-sqr-sqrt
1630×*-un-lft-identity
1504×add-cube-cbrt
1478×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
117526
2209026
Stop Event
node limit
Counts
2 → 26
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify51.0ms (0.6%)

Algorithm
egg-herbie
Rules
1648×fma-def
1226×distribute-lft-in
1186×distribute-rgt-in
788×*-commutative
614×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01041020
1260994
2960940
32957930
Stop Event
node limit
Counts
62 → 60
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)
(pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)
(sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (sqrt.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) (*.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3))))
(*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3)) (*.f64 1/120 (*.f64 (sqrt.f64 z) (pow.f64 y 5)))))
(fma.f64 y (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (sqrt.f64 z) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 (sqrt.f64 z) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 (sqrt.f64 z) (pow.f64 y 7)) (*.f64 1/120 (*.f64 (sqrt.f64 z) (pow.f64 y 5))))))
(+.f64 (*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (sqrt.f64 z) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))) 1)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)
(*.f64 (sqrt.f64 z) (sin.f64 y))
(sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))
(fabs.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
0.2b
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
0.5b
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
0.7b
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 57 to 22 computations (61.4% saved)

series19.0ms (0.2%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
2.0ms
z
@0
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
2.0ms
y
@-inf
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
2.0ms
y
@inf
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
2.0ms
z
@0
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))

rewrite70.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1900×add-sqr-sqrt
1880×*-un-lft-identity
1742×add-cube-cbrt
1714×add-cbrt-cube
206×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
121856
2249456
Stop Event
node limit
Counts
4 → 67
Calls
Call 1
Inputs
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))))

simplify63.0ms (0.7%)

Algorithm
egg-herbie
Rules
710×associate-/r*
602×associate-/l*
562×*-commutative
546×log-prod
484×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651949
13431937
212491911
341541901
Stop Event
node limit
Counts
127 → 94
Calls
Call 1
Inputs
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)
(*.f64 (cbrt.f64 (sin.f64 y)) 1)
(*.f64 1 (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(fabs.f64 (cbrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 1)
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))
Outputs
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)
(cbrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) 1)
(cbrt.f64 (sin.f64 y))
(*.f64 1 (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(cbrt.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/6) 4)
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 1)
(cbrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)
(cbrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)
(cbrt.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(cbrt.f64 (sin.f64 y))
(fabs.f64 (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
(cbrt.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))
(cbrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))
(cbrt.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))) 1))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))) 1)
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 1)
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2)
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3)
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z) 1/3)
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4) (*.f64 z z)))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z))
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 1))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))

eval236.0ms (2.6%)

Compiler

Compiled 14644 to 5867 computations (59.9% saved)

prune172.0ms (1.9%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New66216678
Fresh10717
Picked101
Done257
Total67528703
Error
0b
Counts
703 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
36.7b
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
0.2b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
32.8b
(/.f64 1 (/.f64 1 (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2)) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
26.1b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
39.1b
(/.f64 1 (/.f64 1 x))
39.5b
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
41.5b
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
27.3b
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
28.1b
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
31.8b
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
37.0b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
43.6b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 y z))
0.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
31.2b
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
32.0b
(+.f64 (*.f64 y z) x)
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (sin.f64 y))))
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
25.1b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
37.0b
(+.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
13.9b
(+.f64 x (*.f64 z (sin.f64 y)))
26.1b
(*.f64 (cos.f64 y) x)
36.6b
(*.f64 z (sin.f64 y))
54.4b
(*.f64 y z)
50.8b
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
39.0b
x
Compiler

Compiled 795 to 525 computations (34% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 (cos.f64 y) x)
0.2b
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
0.2b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 52 to 15 computations (71.2% saved)

series6.0ms (0.1%)

Counts
3 → 68
Calls

24 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
0.0ms
y
@inf
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
0.0ms
x
@0
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
0.0ms
z
@0
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
0.0ms
z
@-inf
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))

rewrite120.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1204×associate-*r/
1024×associate-*l/
652×distribute-rgt-in
614×distribute-lft-in
450×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01463
129263
2348963
Stop Event
node limit
Counts
3 → 141
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (cos.f64 y) x)
Outputs
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simplify150.0ms (1.7%)

Algorithm
egg-herbie
Rules
858×associate-+r+
844×+-commutative
778×associate-*r*
638×associate-*l*
612×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044011421
1133810615
2621210615
Stop Event
node limit
Counts
209 → 253
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (*.f64 -1/6 (/.f64 z (pow.f64 x 2))) (*.f64 1/2 (/.f64 z (pow.f64 x 2))))))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (neg.f64 (*.f64 (cos.f64 y) x))) (*.f64 -1 (neg.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 -1 (neg.f64 (*.f64 z (sin.f64 y)))) (*.f64 -1 (neg.f64 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 y) x)) -1) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) -1))
(+.f64 (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) -1) (*.f64 (neg.f64 (*.f64 (cos.f64 y) x)) -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) (-.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 1 (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1)
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(*.f64 -1 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) -1)
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) -1))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) 1) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) -1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) -1))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(fma.f64 1 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
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(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x))))
(-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x)))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x)))))
(fma.f64 (*.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 z (/.f64 (pow.f64 x 3) z))) (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (*.f64 -1/6 (/.f64 z (pow.f64 x 2))) (*.f64 1/2 (/.f64 z (pow.f64 x 2))))))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 z (/.f64 x (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))))) (*.f64 (/.f64 z (*.f64 x x)) 1/3))) (fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x))))))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 z (/.f64 (pow.f64 x 3) z))) (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x)))) (*.f64 (pow.f64 y 3) (fma.f64 (/.f64 z (*.f64 x x)) 1/3 (*.f64 (/.f64 z x) (+.f64 (/.f64 1/2 x) (/.f64 z (/.f64 (pow.f64 x 3) z)))))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(-.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 z 4)) (pow.f64 (sin.f64 y) 4)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 4))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(/.f64 1 (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 x (cos.f64 y))))
(-.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(+.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(fma.f64 -1 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 4)))
(/.f64 1 (*.f64 (cos.f64 y) x))
(/.f64 1 (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 x (cos.f64 y))))
(-.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 x (cos.f64 y)) 3)))
(+.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(fma.f64 -1 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 4)))
(/.f64 1 (*.f64 (cos.f64 y) x))
(/.f64 1 (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 x (cos.f64 y))))
(-.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
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(+.f64 (/.f64 1 (*.f64 x (cos.f64 y))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (/.f64 z (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (sin.f64 y)))))
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(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) -1))
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) 1))
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(fabs.f64 (*.f64 x (cos.f64 y)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 27
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms
y
@-inf
(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms
y
@0
(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms
y
@inf
(+.f64 x (*.f64 z (sin.f64 y)))
0.0ms
x
@-inf
(+.f64 x (*.f64 z (sin.f64 y)))

rewrite58.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1982×add-sqr-sqrt
1966×*-un-lft-identity
1826×add-cube-cbrt
1806×add-cbrt-cube
196×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118513
2241113
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 x (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))))))

simplify63.0ms (0.7%)

Algorithm
egg-herbie
Rules
1574×associate-*r*
1318×associate-*l*
764×associate-+r+
554×associate-+l+
506×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01091394
12761364
29771356
355521356
Stop Event
node limit
Counts
64 → 56
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
Outputs
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) x))
(fma.f64 z y (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) x))
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) x)))
(fma.f64 z y (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) x)))
(fma.f64 z y (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) x))
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(fma.f64 z (sin.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 z (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 z (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 z (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 z (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 z (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(fma.f64 z (sin.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(fma.f64 z (sin.f64 y) x)
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (*.f64 x (cos.f64 y)))
0.1b
(*.f64 x (cos.f64 y))
0.3b
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
Compiler

Compiled 39 to 13 computations (66.7% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
0.2b
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)
0.2b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
35.1b
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
Compiler

Compiled 74 to 27 computations (63.5% saved)

series58.0ms (0.6%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
27.0ms
y
@0
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)
5.0ms
z
@inf
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
3.0ms
x
@-inf
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
2.0ms
x
@inf
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
2.0ms
x
@0
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))

rewrite116.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
954×associate-*r/
858×swap-sqr
630×associate-*l/
474×distribute-rgt-in
428×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017122
1347110
24018110
Stop Event
node limit
Counts
4 → 306
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) -3) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) -1) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) -1) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))))))

simplify343.0ms (3.8%)

Algorithm
egg-herbie
Rules
844×distribute-lft-in
838×distribute-rgt-in
762×+-commutative
720×associate-*r/
692×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102432390
1318531750
Stop Event
node limit
Counts
450 → 592
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (*.f64 -1/6 (/.f64 z (pow.f64 x 2))) (*.f64 1/2 (/.f64 z (pow.f64 x 2))))))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 x 3)
(+.f64 (*.f64 y (+.f64 (*.f64 2 (*.f64 z (pow.f64 x 2))) (*.f64 z (pow.f64 x 2)))) (pow.f64 x 3))
(+.f64 (*.f64 y (+.f64 (*.f64 2 (*.f64 z (pow.f64 x 2))) (*.f64 z (pow.f64 x 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) x) (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) x)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (pow.f64 x 3)))
(+.f64 (*.f64 y (+.f64 (*.f64 2 (*.f64 z (pow.f64 x 2))) (*.f64 z (pow.f64 x 2)))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 z (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 z x)) (*.f64 -1 (*.f64 z x))) x) (*.f64 z (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))))) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) x) (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) x)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (pow.f64 x 3))))
(pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
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(/.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) 1) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 1 1/3)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 1/3)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 1/3))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) 1/3)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) 1) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 -1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)))) (/.f64 -1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) -1) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 -1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(neg.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3))) 1)
(*.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3) 1)
(*.f64 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) -1))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 -1 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))
(*.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)) -1)
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) -3) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) -1) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) -1) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) -1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3) 1)
(pow.f64 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 2)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))
Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z))))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z)))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (/.f64 (neg.f64 (*.f64 z z)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (*.f64 -1/6 (/.f64 z (pow.f64 x 2))) (*.f64 1/2 (/.f64 z (pow.f64 x 2))))))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 z (/.f64 x (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))))) (*.f64 (/.f64 z (*.f64 x x)) 1/3))) (fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z))))))
(fma.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (/.f64 z x) (-.f64 (/.f64 1/2 x) (/.f64 (neg.f64 (*.f64 z z)) (pow.f64 x 3)))) (/.f64 (*.f64 z 1/3) (*.f64 x x)))) (fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (/.f64 (neg.f64 (*.f64 z z)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (+.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (+.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (+.f64 (/.f64 (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(/.f64 1 (*.f64 x (cos.f64 y)))
(/.f64 (/.f64 1 (cos.f64 y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2)))) (/.f64 1 (*.f64 x (cos.f64 y))))
(fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 (/.f64 1 (cos.f64 y)) x))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) 2)))) (/.f64 1 (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 z z) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 2))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 (/.f64 1 (cos.f64 y)) x)) (*.f64 (/.f64 (*.f64 z z) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (pow.f64 (sin.f64 y) 2)))
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(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1))
(pow.f64 (pow.f64 (exp.f64 3) (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -1)
(exp.f64 (*.f64 3 (neg.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3) 1))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -3)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3)))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -3)

eval657.0ms (7.3%)

Compiler

Compiled 36527 to 15538 computations (57.5% saved)

prune401.0ms (4.5%)

Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New105591064
Fresh61218
Picked101
Done099
Total1062301092
Error
0b
Counts
1092 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
26.1b
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x))
36.7b
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
0.2b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
39.1b
(/.f64 1 (/.f64 1 x))
39.5b
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
41.5b
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z))))
41.8b
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x)))))
28.1b
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
28.1b
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
31.8b
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
50.9b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))))
48.7b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
53.7b
(/.f64 1 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
43.6b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 y z))
0.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
31.2b
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
42.1b
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
32.0b
(+.f64 (*.f64 y z) x)
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (sin.f64 y))))
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
25.1b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
37.0b
(+.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
13.9b
(+.f64 x (*.f64 z (sin.f64 y)))
26.1b
(*.f64 (cos.f64 y) x)
36.6b
(*.f64 z (sin.f64 y))
54.4b
(*.f64 y z)
50.8b
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
39.0b
x
Compiler

Compiled 429 to 300 computations (30.1% saved)

regimes323.0ms (3.6%)

Counts
64 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(+.f64 x (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 y z))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
(/.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3))
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
(/.f64 1 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (sin.f64 y))))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 1 (/.f64 1 (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2)) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

156.0ms
x
82.0ms
z
32.0ms
y
31.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 1183 to 424 computations (64.2% saved)

regimes143.0ms (1.6%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
Outputs
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

59.0ms
z
54.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
7.1b3x
9.4b7y
8.1b3z
Compiler

Compiled 143 to 77 computations (46.2% saved)

bsearch66.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
43.0ms
4.9275481375125714e+58
3.974852582593579e+66
23.0ms
-2.094882920555034e+62
-9.434752837746185e+61
Results
26.0ms58×body1024valid
19.0ms128×body256valid
18.0ms38×body512valid
Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes93.0ms (1%)

Counts
10 → 7
Calls
Call 1
Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 z (sin.f64 y))
Calls

3 calls:

39.0ms
y
26.0ms
z
24.0ms
x
Results
ErrorSegmentsBranch
14.2b3x
11.0b7y
16.0b3z
Compiler

Compiled 92 to 53 computations (42.4% saved)

bsearch270.0ms (3%)

Algorithm
binary-search
Steps
TimeLeftRight
64.0ms
1.0338212261758331e+224
9.250390087295698e+226
60.0ms
1.7731117323109002e+172
8.172008791612365e+173
24.0ms
2.254405624746524e-7
2.400821302435633
25.0ms
-0.0004791257421409794
-1.4971640843912227e-8
29.0ms
-3.424656226966807e+127
-6.95840231027797e+126
67.0ms
-3.5175390757119464e+197
-4.4344541731356534e+191
Results
186.0ms384×body1024valid
46.0ms272×body256valid
28.0ms96×body512valid
Compiler

Compiled 787 to 577 computations (26.7% saved)

regimes109.0ms (1.2%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z))))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
Calls

3 calls:

65.0ms
x
22.0ms
z
19.0ms
y
Results
ErrorSegmentsBranch
24.4b3x
14.7b3y
25.6b3z
Compiler

Compiled 88 to 51 computations (42% saved)

bsearch48.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
2.254405624746524e-7
2.400821302435633
24.0ms
-0.0004791257421409794
-1.4971640843912227e-8
Results
43.0ms272×body256valid
Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes19.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x x)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (/.f64 (*.f64 x x) z))))
Outputs
(+.f64 (*.f64 y z) x)
Calls

3 calls:

6.0ms
z
5.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
32.0b1x
32.0b1y
32.0b1z
Compiler

Compiled 84 to 49 computations (41.7% saved)

regimes24.0ms (0.3%)

Accuracy

Total -26.7b remaining (-74.7%)

Threshold costs -26.7b (-74.7%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y z)
Outputs
x
(*.f64 y z)
x
Calls

3 calls:

12.0ms
x
8.0ms
z
3.0ms
y
Results
ErrorSegmentsBranch
35.7b3x
39.0b1y
37.7b3z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch69.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
2.3943138951969675e-167
7.315709770082814e-167
49.0ms
-3.319877111210925e-76
-9.365861453908839e-79
Results
39.0ms50×body1024valid
20.0ms133×body256valid
7.0ms25×body512valid
Compiler

Compiled 174 to 130 computations (25.3% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
if-if-or-not
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054299
175299
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -136000000000000010243622712873585138606487354891765406532370432) (*.f64 (cos.f64 y) x) (if (<=.f64 x 209999999999999984019119564738194408093793066877209353912320) (+.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -539999999999999991694515579716069775339900875769553645781471547701820229645610440184144461360016568693244798992243850939959162875737667188198393165225891063010619944422157145334873141203173376) (*.f64 z (sin.f64 y)) (if (<=.f64 y -25000000000000001879362172912955215686785726608810205337072727558944148131060380116613527527443950885706648875971313158166937600) (*.f64 (cos.f64 y) x) (if (<=.f64 y -1770887431076117/18446744073709551616) (*.f64 z (sin.f64 y)) (if (<=.f64 y 5534023222112865/18446744073709551616) (+.f64 (*.f64 y z) x) (if (<=.f64 y 25500000000000000220703296320280288754889786513755065358537954948114324472016508383876090309156129102924940056534324886533286037770483460175116021887194654626293388626886656) (*.f64 z (sin.f64 y)) (if (<=.f64 y 750000000000000069625102779017399322667761339337880783238385410951925710614771849400222309068161969072073451073670802733104196033883073532271606894155299061019429726287397066031802689691800254715284612101305281288685603520512) (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y -2582544170319337/36893488147419103232) (*.f64 z (sin.f64 y)) (if (<=.f64 y 760928193040519/2305843009213693952) (+.f64 (*.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -8969476810996009/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) x (if (<=.f64 x 3983534946125753/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (*.f64 y z) x))
x
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(if (<=.f64 x -136000000000000010243622712873585138606487354891765406532370432) (*.f64 (cos.f64 y) x) (if (<=.f64 x 209999999999999984019119564738194408093793066877209353912320) (+.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -136000000000000010243622712873585138606487354891765406532370432) (not (<=.f64 x 209999999999999984019119564738194408093793066877209353912320))) (*.f64 x (cos.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 y -539999999999999991694515579716069775339900875769553645781471547701820229645610440184144461360016568693244798992243850939959162875737667188198393165225891063010619944422157145334873141203173376) (*.f64 z (sin.f64 y)) (if (<=.f64 y -25000000000000001879362172912955215686785726608810205337072727558944148131060380116613527527443950885706648875971313158166937600) (*.f64 (cos.f64 y) x) (if (<=.f64 y -1770887431076117/18446744073709551616) (*.f64 z (sin.f64 y)) (if (<=.f64 y 5534023222112865/18446744073709551616) (+.f64 (*.f64 y z) x) (if (<=.f64 y 25500000000000000220703296320280288754889786513755065358537954948114324472016508383876090309156129102924940056534324886533286037770483460175116021887194654626293388626886656) (*.f64 z (sin.f64 y)) (if (<=.f64 y 750000000000000069625102779017399322667761339337880783238385410951925710614771849400222309068161969072073451073670802733104196033883073532271606894155299061019429726287397066031802689691800254715284612101305281288685603520512) (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y -539999999999999991694515579716069775339900875769553645781471547701820229645610440184144461360016568693244798992243850939959162875737667188198393165225891063010619944422157145334873141203173376) (*.f64 z (sin.f64 y)) (if (<=.f64 y -25000000000000001879362172912955215686785726608810205337072727558944148131060380116613527527443950885706648875971313158166937600) (*.f64 x (cos.f64 y)) (if (<=.f64 y -1770887431076117/18446744073709551616) (*.f64 z (sin.f64 y)) (if (<=.f64 y 5534023222112865/18446744073709551616) (+.f64 x (*.f64 y z)) (if (or (<=.f64 y 25500000000000000220703296320280288754889786513755065358537954948114324472016508383876090309156129102924940056534324886533286037770483460175116021887194654626293388626886656) (not (<=.f64 y 750000000000000069625102779017399322667761339337880783238385410951925710614771849400222309068161969072073451073670802733104196033883073532271606894155299061019429726287397066031802689691800254715284612101305281288685603520512))) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(if (<=.f64 y -2582544170319337/36893488147419103232) (*.f64 z (sin.f64 y)) (if (<=.f64 y 760928193040519/2305843009213693952) (+.f64 (*.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -2582544170319337/36893488147419103232) (not (<=.f64 y 760928193040519/2305843009213693952))) (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -8969476810996009/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) x (if (<=.f64 x 3983534946125753/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (*.f64 y z) x))
x
Compiler

Compiled 136 to 83 computations (39% saved)

soundness0.0ms (0%)

end49.0ms (0.5%)

Compiler

Compiled 118 to 50 computations (57.6% saved)

Profiling

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