Details

Time bar (total: 12.0s)

analyze372.0ms (3.1%)

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 (20.6%)

Results
1.1s2068×body1024valid
960.0ms5141×body256valid
398.0ms1040×body512valid
5.0msbody2048valid
Bogosity

preprocess50.0ms (0.4%)

Algorithm
egg-herbie
Rules
780×fma-def
488×associate-*r*
310×associate--r+
264×associate-+r+
254×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
156108
299108
3166108
4255108
5452108
6821108
71422108
82069108
92618108
102644108
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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.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 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify26.0ms (0.2%)

Algorithm
egg-herbie
Rules
222×fma-def
106×associate-*r*
100×+-commutative
98×associate--r+
82×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12027
23327
35127
47727
513127
622727
735527
856527
973727
1078227
1178827
Stop Event
saturated
Counts
1 → 1
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)))

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 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 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series32.0ms (0.3%)

Counts
3 → 64
Calls

21 calls:

TimeVariablePointExpression
26.0ms
x
@0
(*.f64 x (cos.f64 y))
1.0ms
z
@0
(*.f64 z (sin.f64 y))
1.0ms
x
@-inf
(*.f64 x (cos.f64 y))
1.0ms
y
@0
(*.f64 z (sin.f64 y))
0.0ms
x
@inf
(*.f64 x (cos.f64 y))

rewrite119.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1022×unswap-sqr
786×swap-sqr
730×distribute-rgt-in
682×distribute-lft-in
546×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
123349
2307949
Stop Event
node limit
Counts
3 → 217
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
((#(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 exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(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 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(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 pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(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 x) (cos.f64 y)))))) (#(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 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))))))))
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simplify281.0ms (2.3%)

Algorithm
egg-herbie
Rules
1876×associate-+r+
1112×fma-def
1002×+-commutative
634×associate-*r*
562×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054111681
1156511191
2700611191
Stop Event
node limit
Counts
281 → 299
Calls
Call 1
Inputs
(*.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 (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 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) 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 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.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 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (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 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) (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (*.f64 (*.f64 z (sin.f64 y)) 0))) 1) (-.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 3)) 1) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.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 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.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 z (sin.f64 y))))) (+.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 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (-.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) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.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 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.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 z (sin.f64 y))))
(/.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 z (sin.f64 y))))) (sqrt.f64 (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)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (*.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 z (sin.f64 y))))))
(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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
(*.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 (*.f64 1/120 (pow.f64 y 5)) z)))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.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 (*.f64 1/120 (pow.f64 y 5)) z))))
(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 (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 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 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 y (*.f64 y 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 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 y z))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
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(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.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 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (pow.f64 (*.f64 z (sin.f64 y)) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 6))))
(/.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 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.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 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.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 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(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 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(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 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (-.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) 2))
(fabs.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))

eval152.0ms (1.3%)

Compiler

Compiled 8770 to 2374 computations (72.9% saved)

prune128.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New28118299
Fresh000
Picked011
Done000
Total28119300
Error
0.0b
Counts
300 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
32.7b
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
1.5b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
47.2b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
47.1b
(/.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 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
32.6b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
0.2b
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
34.1b
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
21.4b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
33.0b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
19.0b
(-.f64 x (*.f64 z (sin.f64 y)))
32.9b
(-.f64 x (*.f64 y z))
0.3b
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
33.2b
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
32.4b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
43.2b
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
41.8b
(*.f64 (neg.f64 z) (sin.f64 y))
35.3b
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 906 to 492 computations (45.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 8 computations (69.2% saved)

series26.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
22.0ms
x
@inf
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
1.0ms
x
@-inf
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
0.0ms
z
@0
(*.f64 (neg.f64 z) (sin.f64 y))
0.0ms
y
@inf
(*.f64 (neg.f64 z) (sin.f64 y))
0.0ms
y
@-inf
(*.f64 (neg.f64 z) (sin.f64 y))

rewrite71.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
982×*-commutative
842×sqrt-prod
734×unswap-sqr
572×swap-sqr
408×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
123834
2291534
Stop Event
node limit
Counts
2 → 93
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (sin.f64 y))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sin.f64 y)))))) (#(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 +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 y)) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (sin.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 (sin.f64 y))) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (sin.f64 y)))))) (#(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 /.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 0 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 z z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 z z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 z 3)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (neg.f64 (sin.f64 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) (+.f64 1 (*.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 neg.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 fabs.f64 (*.f64 z (sin.f64 y)))))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 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 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.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 (cos.f64 y) x)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (neg.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))))

simplify82.0ms (0.7%)

Algorithm
egg-herbie
Rules
1496×associate-*r/
1326×associate-*l/
996×associate-+r+
950×associate-/r/
844×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02525169
16504935
232154935
Stop Event
node limit
Counts
153 → 171
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) -1)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(+.f64 (*.f64 (sin.f64 y) 0) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) 0) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 0 (sin.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 0 (neg.f64 (sin.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 0 (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (sin.f64 y) (*.f64 z z)) z)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 z z)) z)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 z 3)) (*.f64 z z))
(/.f64 (*.f64 (*.f64 z z) (sin.f64 y)) z)
(/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (*.f64 z z))
(/.f64 (*.f64 (*.f64 z z) (neg.f64 (sin.f64 y))) z)
(/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))))
(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)
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 0 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (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)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.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 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.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 (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.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 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (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) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.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 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(/.f64 1 (/.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))) 2)))
(/.f64 1 (/.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 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.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 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.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 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.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 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 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) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.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) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (neg.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 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.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) 1/3)
(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))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (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))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 z y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y))
(-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 y) z x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite54.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1688×add-sqr-sqrt
1672×*-un-lft-identity
1558×add-cube-cbrt
1542×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115213
2207013
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))))))

simplify101.0ms (0.8%)

Algorithm
egg-herbie
Rules
1036×associate-+l+
816×fma-def
802×associate-/l/
678×associate-/r/
554×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01101217
12981167
213111167
349931167
Stop Event
node limit
Counts
75 → 49
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 (-.f64 x (*.f64 y z)) 1)
(*.f64 1 (-.f64 x (*.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(*.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(-.f64 x (*.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(-.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(-.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(-.f64 x (*.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(-.f64 x (*.f64 y z))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))
(-.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(-.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1))
(-.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (*.f64 y z))

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
0.1b
(*.f64 y (*.f64 y x))
2.1b
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
Compiler

Compiled 38 to 12 computations (68.4% saved)

series5.0ms (0%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
0.0ms
z
@0
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
0.0ms
x
@inf
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
0.0ms
x
@-inf
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
0.0ms
y
@0
(*.f64 y (*.f64 y x))

rewrite106.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1132×unswap-sqr
862×swap-sqr
730×distribute-rgt-in
680×distribute-lft-in
490×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01267
125467
2328467
Stop Event
node limit
Counts
3 → 205
Calls
Call 1
Inputs
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(*.f64 y (*.f64 y x))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))))))

simplify186.0ms (1.5%)

Algorithm
egg-herbie
Rules
1158×fma-def
850×associate-+r-
730×associate-*r*
718×associate-+l+
658×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050316525
1138515459
2744715459
Stop Event
node limit
Counts
289 → 308
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) 3) (pow.f64 (pow.f64 (*.f64 y z) 2) 3)) (/.f64 1 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 2) (+.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) 3) (pow.f64 (pow.f64 (*.f64 y z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) 1) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) 1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))
(pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) (neg.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 z (neg.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (*.f64 z (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (*.f64 z (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) 1)
(pow.f64 (*.f64 y (*.f64 y x)) 1)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))
(+.f64 x (*.f64 -1/2 (*.f64 y (*.f64 y x))))
(+.f64 x (*.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 1))
(+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 1) x)
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 1)) x)
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 1) 1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 -1/2 (*.f64 y (*.f64 y x)))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(*.f64 x (+.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(*.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 1)
(*.f64 1 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (*.f64 y (*.f64 y x)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2) 1/4) (*.f64 x x))) (-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (*.f64 y (*.f64 y x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2) 1/4) (*.f64 x x)) 1) (-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 3)) 1) (+.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (*.f64 y (*.f64 y x)))))))
(pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (*.f64 (*.f64 x y) -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(-.f64 (*.f64 (*.f64 -1/2 y) (*.f64 x y)) (*.f64 y z))
(-.f64 (*.f64 y (*.f64 (*.f64 x y) -1/2)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (*.f64 (*.f64 x y) -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(-.f64 (*.f64 (*.f64 -1/2 y) (*.f64 x y)) (*.f64 y z))
(-.f64 (*.f64 y (*.f64 (*.f64 x y) -1/2)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
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(/.f64 (fma.f64 (pow.f64 (*.f64 x (*.f64 y y)) 2) 1/4 (neg.f64 (*.f64 x x))) (-.f64 (*.f64 (*.f64 -1/2 y) (*.f64 x y)) x))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 x y)) 2) 1/4 (*.f64 x (neg.f64 x))) (-.f64 (*.f64 y (*.f64 (*.f64 x y) -1/2)) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) 3)) 1) (+.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2) 1/4) (*.f64 x (-.f64 x (*.f64 -1/2 (*.f64 y (*.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 -1/2 y) (*.f64 x y)) 3)) (fma.f64 (pow.f64 (*.f64 x (*.f64 y y)) 2) 1/4 (*.f64 x (-.f64 x (*.f64 (*.f64 -1/2 y) (*.f64 x y))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y (*.f64 x y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 y (*.f64 (*.f64 x y) -1/2))) (*.f64 (pow.f64 (*.f64 y (*.f64 x y)) 2) 1/4)))
(pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 1)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 3)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) 1/3)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 2))
(fabs.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
0.6b
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
0.7b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
Compiler

Compiled 50 to 12 computations (76% saved)

series29.0ms (0.2%)

Counts
2 → 40
Calls

18 calls:

TimeVariablePointExpression
12.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
5.0ms
y
@0
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
3.0ms
z
@0
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)

rewrite163.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
790×distribute-rgt-in
738×distribute-lft-in
602×associate-*r/
512×associate-*l/
328×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01458
129958
2359358
Stop Event
node limit
Counts
2 → 274
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
Outputs
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1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))

simplify310.0ms (2.6%)

Algorithm
egg-herbie
Rules
1326×associate-*l*
1242×associate-+l+
954×associate-+r+
950×*-commutative
870×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090727372
1288127272
Stop Event
node limit
Counts
314 → 442
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x) (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))))) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cos.f64 y)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z (sin.f64 y)))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x) (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))))) (pow.f64 x 2)))))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) x))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))))))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
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(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 1 (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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
Outputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y))) 1) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y)))) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x) (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))))) (pow.f64 x 2))))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y))) 1) x (*.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9))))) (*.f64 x x))))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y)))) x)) (*.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18) (pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)))))) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cos.f64 y)) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z (sin.f64 y)))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y)))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (cos.f64 y))))) x) (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 -1))))) (pow.f64 x 2)))))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (+.f64 (*.f64 -2/27 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9) (*.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (/.f64 (fma.f64 1/27 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))) (*.f64 -2/9 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))))) (cbrt.f64 -1))) (*.f64 2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z (sin.f64 y)))))) (*.f64 -1/3 (fma.f64 1/27 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))) (*.f64 -2/9 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))))))))) (pow.f64 x 3) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (cos.f64 y))) 1) x (*.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (pow.f64 (cos.f64 y) 2))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9))))) (*.f64 x x)))))
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(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) x))
(fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1) y x)
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) y x)
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(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (*.f64 z (sin.f64 y))))
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(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cos.f64 y) x))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (cos.f64 y) x)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))))))
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(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cos.f64 y) x))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) (*.f64 (*.f64 (/.f64 (fma.f64 1/27 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))) (*.f64 -2/9 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 3)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) -1/3)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y))))
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(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x -1/2) (*.f64 -1/3 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))))))) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 z y)))))
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (*.f64 (*.f64 z (sin.f64 y)) 0))
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3) 0)
(+.f64 0 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3) 0)
(+.f64 0 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 1)
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 1 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6))
(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))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 2))
(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))))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.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 x (cos.f64 y) (*.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 x (cos.f64 y) (*.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 x (cos.f64 y) (*.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 x (cos.f64 y) (*.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 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 1 (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 x (cos.f64 y) (*.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 x (cos.f64 y) (*.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 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (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 x (cos.f64 y) (*.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 x (cos.f64 y) (*.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 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.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 x (cos.f64 y) (*.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 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/6) 2)
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
0.3b
(cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
0.5b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
0.6b
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
Compiler

Compiled 130 to 18 computations (86.2% saved)

series128.0ms (1.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
62.0ms
y
@inf
(cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
42.0ms
y
@-inf
(cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
4.0ms
y
@-inf
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
3.0ms
y
@inf
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
2.0ms
z
@inf
(cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))

rewrite85.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
830×distribute-rgt-in
750×distribute-lft-in
618×associate-*r/
546×associate-*l/
342×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017134
1350132
24094132
Stop Event
node limit
Counts
4 → 112
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
(cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))))

simplify214.0ms (1.8%)

Algorithm
egg-herbie
Rules
1788×associate-*r*
1112×associate-*l*
922×*-commutative
922×times-frac
750×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062919228
1191017844
Stop Event
node limit
Counts
208 → 296
Calls
Call 1
Inputs
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))))))
(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)
(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)
(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)
(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (cos.f64 y) x)))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (cos.f64 y) x)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (cos.f64 y) x)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3)))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 7) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/9) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (cos.f64 y) x) 1/3))))
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 x) 1/9) (*.f64 y z))) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 x) 1/9) (*.f64 y z))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2)))))))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 x) 1/9) (*.f64 y z))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))) (pow.f64 y 3)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))))
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1/3)
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.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 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.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 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (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 (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)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) (sqrt.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 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (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 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))) 1)
(*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) 1)
(*.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/6) (pow.f64 (sqrt.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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/4) 1/3) (pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/4) 1/3))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/6) 2)
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) 3)
(sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(fabs.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)))
(exp.f64 (log.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) 1)
(/.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 (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 (*.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 1 (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 (*.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 (*.f64 (pow.f64 1 1/3) (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 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (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 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (cbrt.f64 (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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(fabs.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(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)))))))
(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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) 2))
(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 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y z))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (*.f64 z z)))))) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y z)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 y y) (fma.f64 -1/2 x (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (*.f64 z z))))))) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y z)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))) z)))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (*.f64 z z)))))) (*.f64 -1/3 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y z)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (*.f64 z (+.f64 (*.f64 x -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (*.f64 z z)))))))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 y y) (fma.f64 -1/2 x (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (*.f64 z z))))))) (*.f64 -1/3 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (*.f64 y z)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 z 3)) (*.f64 -2/3 (*.f64 z (*.f64 (fma.f64 -1/2 x (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (*.f64 z z))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)))))))))))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
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(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (neg.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
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(fma.f64 2/3 (*.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (pow.f64 (*.f64 z (sin.f64 y)) 1/18)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (cbrt.f64 -1)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))
(fma.f64 2/3 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (*.f64 x (*.f64 (cos.f64 y) (cbrt.f64 (cbrt.f64 -1)))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))
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(fma.f64 2/3 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (*.f64 x (*.f64 (cos.f64 y) (cbrt.f64 (cbrt.f64 -1)))))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (*.f64 x x) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (*.f64 (cos.f64 y) x)))) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z (sin.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2)) (*.f64 (pow.f64 (*.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 2/3 (*.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (pow.f64 (*.f64 z (sin.f64 y)) 1/18)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (cbrt.f64 -1)))) (fma.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))) (*.f64 2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z (sin.f64 y))))) (pow.f64 x 3) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9) (*.f64 x x) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))))
(fma.f64 2/3 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/18) (*.f64 x (*.f64 (cos.f64 y) (cbrt.f64 (cbrt.f64 -1)))))) (fma.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cbrt.f64 -1) 2))) -5/27) (cbrt.f64 -1))) (*.f64 2/27 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z (sin.f64 y))))) (pow.f64 x 3) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (*.f64 x x) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (*.f64 (cos.f64 y) x)) 1/9) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3))
(fma.f64 -2/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/18) (pow.f64 (*.f64 x (cos.f64 y)) 1/18))) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(fma.f64 -2/3 (*.f64 z (*.f64 (sin.f64 y) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/18) (pow.f64 (*.f64 x (cos.f64 y)) 1/18)))) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (*.f64 (cos.f64 y) x)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 z 2)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)))
(fma.f64 -2/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/18) (pow.f64 (*.f64 x (cos.f64 y)) 1/18))) (fma.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18))) -1/9) (*.f64 z z) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))
(fma.f64 -2/3 (*.f64 z (*.f64 (sin.f64 y) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/18) (pow.f64 (*.f64 x (cos.f64 y)) 1/18)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/9)) (*.f64 z z) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (*.f64 (cos.f64 y) x)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (sin.f64 y) 3))))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (cos.f64 y) x))))) (pow.f64 z 3)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3))))
(fma.f64 -2/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/18) (pow.f64 (*.f64 x (cos.f64 y)) 1/18))) (fma.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18))) -1/9) (*.f64 z z) (fma.f64 (fma.f64 -2/3 (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 3)) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (/.f64 1 (*.f64 x (cos.f64 y))))) (*.f64 2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 x (cos.f64 y))))) (pow.f64 z 3) (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))
(fma.f64 -2/3 (*.f64 z (*.f64 (sin.f64 y) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/18) (pow.f64 (*.f64 x (cos.f64 y)) 1/18)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4))) 1/18)) (*.f64 (pow.f64 (sin.f64 y) 2) -1/9)) (*.f64 z z) (fma.f64 (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 2))) (pow.f64 (sin.f64 y) 3)) 5/27) (cbrt.f64 (/.f64 (/.f64 1 x) (cos.f64 y)))) (*.f64 2/27 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 x (cos.f64 y))))) (pow.f64 z 3) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(pow.f64 x 1/6)
(+.f64 (pow.f64 x 1/6) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 y z))))
(+.f64 (pow.f64 x 1/6) (*.f64 -1/6 (*.f64 (*.f64 y z) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(+.f64 (pow.f64 x 1/6) (*.f64 (*.f64 y z) (*.f64 -1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
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(fma.f64 -1/6 (*.f64 (/.f64 (cos.f64 y) z) (/.f64 (*.f64 x (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y)))))) (sin.f64 y))) (+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (log.f64 (*.f64 1 (sin.f64 y))))) (/.f64 (*.f64 z z) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) -5/72)))))
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(-.f64 (+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (cos.f64 y) z) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) (/.f64 (sin.f64 y) x))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z))))) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) (/.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))) -5/72))) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z)))) (/.f64 (pow.f64 z 3) (*.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 55/1296))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
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(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (*.f64 (cos.f64 y) x)))))
(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1/18)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
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(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))))
(fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1/18)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))))
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(/.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 (*.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 z (*.f64 (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 (sin.f64 y) (*.f64 z (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) 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 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (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 z (*.f64 (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 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (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)))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) 1/2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/6) 4)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6) 2)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2))
(fabs.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(fabs.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))))
(fabs.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1/3))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/6)) 2))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))

eval1.2s (9.7%)

Compiler

Compiled 62392 to 24457 computations (60.8% saved)

prune404.0ms (3.4%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1419171436
Fresh7613
Picked101
Done235
Total1429261455
Error
0.0b
Counts
1455 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
14.9b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
25.5b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
2.5b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3) 3)
32.6b
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
32.7b
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
19.9b
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
21.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
46.1b
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
47.2b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
47.9b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
0.2b
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
34.1b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
34.1b
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
33.0b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
19.0b
(-.f64 x (*.f64 z (sin.f64 y)))
32.9b
(-.f64 x (*.f64 y z))
0.3b
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
2.2b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 2) 3) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
43.5b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2))
62.6b
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
41.8b
(*.f64 (neg.f64 z) (sin.f64 y))
21.1b
(*.f64 (cos.f64 y) x)
55.1b
(*.f64 z (neg.f64 y))
39.5b
x
Compiler

Compiled 838 to 506 computations (39.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 15 computations (71.2% saved)

series5.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite116.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1404×associate-*r/
1214×associate-*l/
790×distribute-lft-in
458×associate-/r*
384×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
129960
2365560
Stop Event
node limit
Counts
2 → 269
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 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simplify171.0ms (1.4%)

Algorithm
egg-herbie
Rules
1244×fma-def
824×associate-*r*
762×+-commutative
680×associate-*l*
644×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070023537
1210921233
Stop Event
node limit
Counts
341 → 419
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) 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 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
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(*.f64 -1 (*.f64 z (sin.f64 y)))
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(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(/.f64 -1 (*.f64 z (sin.f64 y)))
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(+.f64 (/.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 (*.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 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.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 1 x)
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(/.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 (cos.f64 y) x))
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(/.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 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.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 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.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 -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 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.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 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.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 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
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(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 3))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.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 z (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) (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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1)
(pow.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z 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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 (sin.f64 y)) z)
(-.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 (*.f64 x (neg.f64 (cos.f64 y))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x) (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.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 z (sin.f64 y))))
(-.f64 (*.f64 -1 (+.f64 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (+.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.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 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (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 1 (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (-.f64 (/.f64 x (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (neg.f64 (cos.f64 y)))) (/.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) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (/.f64 (/.f64 -1 (sin.f64 y)) z))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.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 (cos.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (/.f64 z (/.f64 (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 (*.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 1 (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x 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 z (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 3))))
(+.f64 (/.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 (*.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 (*.f64 z (sin.f64 y)) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (/.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 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (/.f64 z (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 4))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.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 (cos.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (/.f64 z (/.f64 (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 (*.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 1 (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x 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 z (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 3))))
(+.f64 (/.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 (*.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 (*.f64 z (sin.f64 y)) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (/.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 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (/.f64 z (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z)))
(+.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 (*.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) (/.f64 y (/.f64 (*.f64 x x) z))))
(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))))
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(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))

localize4.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1282×add-sqr-sqrt
1272×*-un-lft-identity
1170×add-cube-cbrt
1152×add-cbrt-cube
1138×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113511
2158311
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 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 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))

simplify51.0ms (0.4%)

Algorithm
egg-herbie
Rules
1180×fma-def
920×log-prod
848×distribute-lft-out
772×*-commutative
660×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049377
1126311
2420233
32043227
45541227
Stop Event
node limit
Counts
15 → 26
Calls
Call 1
Inputs
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 1 (*.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 x) (cos.f64 y)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
Outputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) 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 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))) x)
(*.f64 x (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.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 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)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2))) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (+.f64 1 (*.f64 x (cos.f64 y))) -1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(*.f64 x (cos.f64 y))

localize43.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
0.1b
(/.f64 z (neg.f64 (sin.f64 y)))
25.6b
(/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y))))
Compiler

Compiled 43 to 10 computations (76.7% saved)

series4.0ms (0%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 z (neg.f64 (sin.f64 y)))
1.0ms
y
@-inf
(/.f64 z (neg.f64 (sin.f64 y)))
1.0ms
z
@0
(/.f64 z (neg.f64 (sin.f64 y)))
0.0ms
y
@0
(/.f64 z (neg.f64 (sin.f64 y)))
0.0ms
z
@inf
(/.f64 z (neg.f64 (sin.f64 y)))

rewrite86.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1334×associate-/r/
916×associate-/l/
416×distribute-lft-neg-in
382×distribute-rgt-in
346×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481
129245
2416245
Stop Event
node limit
Counts
3 → 258
Calls
Call 1
Inputs
(/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y))))
(/.f64 z (neg.f64 (sin.f64 y)))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z -1) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 z) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 z)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 z -1)) (*.f64 (sin.f64 y) (/.f64 z -1)))))) (#(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 *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 z (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (neg.f64 (*.f64 z (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) (/.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(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 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(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 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (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 (*.f64 z (sin.f64 y))) 2) (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 z 4)) (*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 z 4)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (neg.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (*.f64 z (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 z z)) (/.f64 (sin.f64 y) z))))) (#(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 1 z) (*.f64 (*.f64 z z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (*.f64 z z) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (neg.f64 (/.f64 (*.f64 z z) (/.f64 1 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z (sin.f64 y)))) (/.f64 (*.f64 z z) (sqrt.f64 (/.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 z z) (sqrt.f64 (/.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (sin.f64 y))) 2)) (/.f64 (*.f64 z z) (cbrt.f64 (/.f64 z (sin.f64 y)))))))) (#(struct:change 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simplify127.0ms (1.1%)

Algorithm
egg-herbie
Rules
918×associate-/l*
912×*-commutative
896×associate-*r*
808×associate-*l*
592×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05848220
117617674
272817674
Stop Event
node limit
Counts
342 → 370
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (*.f64 -1/6 (*.f64 y z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1/6 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1/6 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (+.f64 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z)))) (*.f64 -1 (/.f64 z y)))))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
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(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 z (sin.f64 y))) 2)) (neg.f64 (cbrt.f64 (/.f64 z (sin.f64 y)))))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 y))) z)
(*.f64 (neg.f64 (cbrt.f64 (/.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 z (sin.f64 y))) 2))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (neg.f64 (/.f64 (sqrt.f64 z) (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (neg.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 z) -1) (/.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) -1) (neg.f64 (/.f64 (sqrt.f64 z) (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 z) (sin.f64 y)) (sqrt.f64 z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1) (/.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1) (neg.f64 (/.f64 (cbrt.f64 z) (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (sin.f64 y))) (neg.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 z (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (neg.f64 (cbrt.f64 (/.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) -1) (/.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) -1) (neg.f64 (/.f64 (cbrt.f64 z) (sin.f64 y))))
(*.f64 (/.f64 z (-.f64 0 (pow.f64 (sin.f64 y) 2))) (sin.f64 y))
(*.f64 (/.f64 z (-.f64 0 (pow.f64 (sin.f64 y) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (sin.f64 y))) 2))) (cbrt.f64 (/.f64 z (sin.f64 y))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sin.f64 y)) (cbrt.f64 z))
(*.f64 (/.f64 -1 (sqrt.f64 (sin.f64 y))) (/.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 -1 (/.f64 1 z)) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 -1 (/.f64 1 (sqrt.f64 (/.f64 z (sin.f64 y))))) (sqrt.f64 (/.f64 z (sin.f64 y))))
(*.f64 (/.f64 -1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (sin.f64 y))) 2))) (cbrt.f64 (/.f64 z (sin.f64 y))))
(*.f64 (/.f64 -1 (/.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 -1 (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z))
(*.f64 (/.f64 (neg.f64 z) (-.f64 0 (pow.f64 (sin.f64 y) 2))) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 z) (-.f64 0 (pow.f64 (sin.f64 y) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(*.f64 (/.f64 (/.f64 z -1) (-.f64 0 (pow.f64 (sin.f64 y) 2))) (sin.f64 y))
(*.f64 (/.f64 (/.f64 z -1) (-.f64 0 (pow.f64 (sin.f64 y) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 z (sin.f64 y))))) (sqrt.f64 (/.f64 z (sin.f64 y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 z (sin.f64 y))) 2))) (cbrt.f64 (/.f64 z (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 z) -1)) (/.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1)) (/.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (neg.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (/.f64 z (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (cbrt.f64 (*.f64 z z)) -1)) (/.f64 (cbrt.f64 z) (sin.f64 y)))
(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 (/.f64 (sin.f64 y) z) -1)
(neg.f64 (/.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 z (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 z (sin.f64 y))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 z (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.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 (cos.f64 y) x) 1))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) x) 1) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 y) x) 1)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) x) 1) 1) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) x) 1) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (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)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x)) (*.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))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.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) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (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))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 z y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y))
(-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(neg.f64 (/.f64 z y))
(+.f64 (*.f64 -1/6 (*.f64 y z)) (*.f64 -1 (/.f64 z y)))
(fma.f64 -1/6 (*.f64 z y) (/.f64 (neg.f64 z) y))
(-.f64 (*.f64 z (*.f64 y -1/6)) (/.f64 z y))
(+.f64 (*.f64 -1/6 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 -1 (/.f64 z y))))
(fma.f64 -1/6 (*.f64 z y) (fma.f64 (pow.f64 y 3) (*.f64 z -7/360) (/.f64 (neg.f64 z) y)))
(-.f64 (fma.f64 (*.f64 y -1/6) z (*.f64 (pow.f64 y 3) (*.f64 z -7/360))) (/.f64 z y))
(+.f64 (*.f64 -1/6 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (+.f64 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z)))) (*.f64 -1 (/.f64 z y)))))
(fma.f64 -1/6 (*.f64 z y) (fma.f64 (pow.f64 y 3) (*.f64 z -7/360) (fma.f64 (pow.f64 y 5) (fma.f64 -1/5040 z (fma.f64 1/6 (*.f64 z -7/360) (*.f64 z 1/720))) (/.f64 (neg.f64 z) y))))
(fma.f64 (*.f64 z y) -1/6 (fma.f64 (pow.f64 y 3) (*.f64 z -7/360) (fma.f64 (pow.f64 y 5) (fma.f64 z -1/5040 (fma.f64 z 1/720 (*.f64 z -7/2160))) (neg.f64 (/.f64 z y)))))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(*.f64 -1 (/.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(fma.f64 (neg.f64 y) z x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(fabs.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 1))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (neg.f64 (sin.f64 y)))
0.2b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
0.6b
(cbrt.f64 (*.f64 (cos.f64 y) x))
33.7b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
Compiler

Compiled 59 to 19 computations (67.8% saved)

series18.0ms (0.1%)

Counts
4 → 75
Calls

27 calls:

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

rewrite88.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1082×unswap-sqr
890×swap-sqr
570×sqr-pow
446×distribute-rgt-in
392×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017108
133974
2407774
Stop Event
node limit
Counts
4 → 162
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(cbrt.f64 (*.f64 (cos.f64 y) x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sin.f64 y)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)))) (sqrt.f64 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simplify110.0ms (0.9%)

Algorithm
egg-herbie
Rules
1030×associate-/r*
894×associate-*r*
810×associate-*l*
678×associate-+r+
656×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04577465
112706721
246716721
Stop Event
node limit
Counts
237 → 273
Calls
Call 1
Inputs
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 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 -2/45 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 2))))))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 2))) (+.f64 (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 8) (-.f64 (*.f64 1/315 (pow.f64 x 2)) (*.f64 -2/3 (-.f64 (*.f64 -2/45 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 2)))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -2/45 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 2)))))))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1)
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)) (*.f64 (pow.f64 (*.f64 x x) 1/6) (pow.f64 (*.f64 x x) 1/6)))
(*.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3/2))
(pow.f64 (*.f64 (cos.f64 y) x) 2/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 2/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (cos.f64 y) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 2/3) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/12) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3/2))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(fabs.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) 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 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 0 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) (+.f64 (*.f64 z (sin.f64 y)) 1))
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) 0) (*.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 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.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 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/6))
(/.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.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 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 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 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.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))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(+.f64 (*.f64 z 0) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 0 z) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 0 (neg.f64 z)) (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(/.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) 2) 0)) (sin.f64 y))
(/.f64 (*.f64 z (+.f64 0 (pow.f64 (sin.f64 y) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(/.f64 (*.f64 (neg.f64 z) (+.f64 (pow.f64 (sin.f64 y) 2) 0)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 z) (+.f64 0 (pow.f64 (sin.f64 y) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 0) z) (sin.f64 y))
(/.f64 (*.f64 (+.f64 0 (pow.f64 (sin.f64 y) 3)) z) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(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)
(neg.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))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.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 2)) 1/3) (pow.f64 y 2))) (pow.f64 (pow.f64 x 2) 1/3))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)) (cbrt.f64 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 y 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 -2/45 (pow.f64 x 2)) (*.f64 -1/27 (pow.f64 x 2))))))))
(+.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)) (cbrt.f64 (*.f64 x x))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (pow.f64 y 6) (*.f64 (*.f64 x x) -1/135)))))
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(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.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 (pow.f64 (cbrt.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 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3/2))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/6))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.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 (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 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 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 (+.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 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) 1) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(fabs.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 z 0) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 0 z) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 0 (neg.f64 z)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(-.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) 2) 0)) (sin.f64 y))
(/.f64 z (/.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z)
(/.f64 (*.f64 z (+.f64 0 (pow.f64 (sin.f64 y) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(/.f64 z (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 3)))
(*.f64 (/.f64 z (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 3))
(/.f64 (*.f64 (neg.f64 z) (+.f64 (pow.f64 (sin.f64 y) 2) 0)) (sin.f64 y))
(/.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (neg.f64 z) (+.f64 0 (pow.f64 (sin.f64 y) 3))) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(/.f64 (neg.f64 z) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 3)))
(*.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 3))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 0) z) (sin.f64 y))
(/.f64 z (/.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)) z)
(/.f64 (*.f64 (+.f64 0 (pow.f64 (sin.f64 y) 3)) z) (+.f64 (pow.f64 (sin.f64 y) 2) 0))
(/.f64 z (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 3)))
(*.f64 (/.f64 z (pow.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 3))
(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))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.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 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(*.f64 z (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

eval374.0ms (3.1%)

Compiler

Compiled 27674 to 8249 computations (70.2% saved)

prune385.0ms (3.2%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New1123161139
Fresh12618
Picked101
Done167
Total1137281165
Error
0.0b
Counts
1165 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
14.9b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
4.0b
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 z (/.f64 (sin.f64 y) z)) (neg.f64 z)))
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
42.4b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 y (neg.f64 z)))
43.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
19.9b
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
21.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
31.3b
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))) (cbrt.f64 (/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
45.8b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
47.9b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
1.4b
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3))
41.9b
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
21.1b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
39.5b
(/.f64 1 (/.f64 1 x))
40.0b
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
0.2b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0b
(-.f64 x (*.f64 z (sin.f64 y)))
32.9b
(-.f64 x (*.f64 y z))
0.3b
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 3 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
34.1b
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
62.6b
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
41.8b
(*.f64 (sin.f64 y) (neg.f64 z))
21.1b
(*.f64 (cos.f64 y) x)
55.1b
(*.f64 z (neg.f64 y))
52.3b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
39.5b
x
Compiler

Compiled 734 to 478 computations (34.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 44 to 23 computations (47.7% saved)

series3.0ms (0%)

Counts
4 → 56
Calls

18 calls:

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

rewrite80.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1812×associate-*l/
1592×associate-/r*
1302×associate-/l*
584×associate-/r/
398×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01356
127244
2362944
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(/.f64 z (/.f64 1 (sin.f64 y)))
(/.f64 x (/.f64 1 (cos.f64 y)))
(/.f64 1 (cos.f64 y))
(/.f64 1 (sin.f64 y))
Outputs
((#(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 *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (neg.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(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 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(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 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))))) (#(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 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 z (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) 1) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))))) (#(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 (/.f64 1 (*.f64 z (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (neg.f64 (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 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 exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(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 (*.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 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 x (sqrt.f64 (cos.f64 y))))))) (#(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 (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 (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 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))))) (#(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 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (*.f64 x (cbrt.f64 (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 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(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 pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (neg.f64 (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 log.f64 (+.f64 1 (expm1.f64 (*.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 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))))))

simplify71.0ms (0.6%)

Algorithm
egg-herbie
Rules
1758×associate-/r*
896×distribute-rgt-in
890×distribute-lft-in
622×associate-/r/
554×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03583166
18793076
232673046
Stop Event
node limit
Counts
196 → 217
Calls
Call 1
Inputs
(*.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 (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)
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 y 6)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.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 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.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 (sin.f64 y) z)
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) 1) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))
(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 (/.f64 1 (*.f64 z (sin.f64 y))) -1)
(neg.f64 (*.f64 z (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (neg.f64 (neg.f64 (cos.f64 y))))
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 x (sqrt.f64 (cos.f64 y))))
(*.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 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.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 (cos.f64 y) x)
(*.f64 -1 (*.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (*.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.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 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(*.f64 (/.f64 -1 (cos.f64 y)) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)
(pow.f64 (cos.f64 y) -1)
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (sin.f64 y) -1)
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
Outputs
(*.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 (*.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 z y (*.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 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 (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 y (*.f64 y x)) x)
(fma.f64 (*.f64 (*.f64 -1/2 y) 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 y (*.f64 y x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 (*.f64 (*.f64 -1/2 y) 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 y (*.f64 y x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 (*.f64 (*.f64 -1/2 y) y) 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)
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) 1/2))
(fma.f64 (*.f64 y y) 1/2 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 5/24 (*.f64 y (*.f64 y 1/2))))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 y 6)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 y 6) (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/24))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (pow.f64 y 4) 5/24 (*.f64 y (*.f64 y 1/2)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(fma.f64 y 1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 y 1/6 (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y 1/6)))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 y 1/6 (*.f64 (pow.f64 y 3) 7/360)) (fma.f64 (pow.f64 y 5) 31/15120 (/.f64 1 y)))
(+.f64 (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y 1/6)) (fma.f64 (pow.f64 y 5) 31/15120 (/.f64 1 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.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 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.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 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
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(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 1 (/.f64 1 x))
0.0ms
x
@0
(/.f64 1 (/.f64 1 x))
0.0ms
x
@inf
(/.f64 1 (/.f64 1 x))

rewrite49.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1182×associate-*r*
908×add-sqr-sqrt
892×*-un-lft-identity
842×pow1
832×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11251
212271
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify43.0ms (0.4%)

Algorithm
egg-herbie
Rules
1228×associate-*r/
1178×associate-/r*
952×associate-*l/
916×associate-/l*
850×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096273
1241231
2805223
33088223
Stop Event
node limit
Counts
49 → 48
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
x
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
x
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
x
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
x
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
x
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
x
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
x
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1350×add-sqr-sqrt
1338×*-un-lft-identity
1236×add-cube-cbrt
1218×add-cbrt-cube
1202×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116011
2198911
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 neg.f64 (*.f64 (sin.f64 y) z))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify56.0ms (0.5%)

Algorithm
egg-herbie
Rules
1578×fma-def
856×*-commutative
694×associate--r+
688×associate-*r*
656×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058753
1153675
2514583
32320579
46481579
Stop Event
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.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)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (fma.f64 1/5040 (pow.f64 y 7) (neg.f64 y))))
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 y) x)
0.6b
(cbrt.f64 (*.f64 (cos.f64 y) x))
0.7b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
Compiler

Compiled 24 to 9 computations (62.5% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
1.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
1.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
0.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)

rewrite54.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1654×add-sqr-sqrt
1624×*-un-lft-identity
1524×add-cube-cbrt
1504×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
120311
2213811
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(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 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(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 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 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 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 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))

simplify81.0ms (0.7%)

Algorithm
egg-herbie
Rules
1064×+-commutative
896×fma-def
776×associate-+r-
622×*-commutative
470×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01491019
1439987
21485931
34334891
47726891
Stop Event
node limit
Counts
45 → 52
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 1 (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.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 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.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 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 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(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
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(fma.f64 (*.f64 x -1/2) (*.f64 y y) x)
(fma.f64 x (*.f64 (*.f64 y y) -1/2) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (*.f64 x -1/24) 2/3))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 x (*.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x -1/72))) x))
(fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) (fma.f64 (*.f64 x -1/2) (*.f64 y y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 -1/9 (*.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (*.f64 x -1/24) -1/9)) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (*.f64 x -1/24) 2/3)))) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (*.f64 x -1/24) (*.f64 (cbrt.f64 (/.f64 1 x)) -1/9)))))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (*.f64 x -1/24) 2/3))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 -1/2 (*.f64 y y))))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 2/3 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216))) (*.f64 -1/24 (*.f64 x -1/9))))) (fma.f64 1/3 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) (*.f64 -1/24 (*.f64 x -1/9)))) (pow.f64 y 6) (fma.f64 x (*.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x -1/72))) x)))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (*.f64 x -1/24) -1/9) (*.f64 2/3 (*.f64 x -23/2160))))) (fma.f64 (*.f64 x -1/24) -1/9 (*.f64 1/3 (*.f64 x -23/2160)))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) (fma.f64 (*.f64 x -1/2) (*.f64 y y) x)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(*.f64 1 (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.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 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.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 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.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 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 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.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))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 (cos.f64 y) x)
0.1b
(*.f64 z (sin.f64 y))
50.9b
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
Compiler

Compiled 72 to 16 computations (77.8% saved)

series3.0ms (0%)

Counts
2 → 52
Calls

15 calls:

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

rewrite140.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
732×distribute-rgt-in
692×distribute-lft-in
586×associate-*r/
504×associate-*l/
356×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01454
129344
2388740
Stop Event
node limit
Counts
2 → 260
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify173.0ms (1.4%)

Algorithm
egg-herbie
Rules
1330×associate-*r*
1232×associate-*l*
832×associate-+r+
802×associate-+l+
782×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061317424
1182516806
Stop Event
node limit
Counts
312 → 416
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(+.f64 (-.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))
(+.f64 (-.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(-.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) z) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 (sin.f64 y) (+.f64 z (neg.f64 z)))
(*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))
(*.f64 (sin.f64 y) (+.f64 (neg.f64 z) (neg.f64 z)))
(*.f64 z (*.f64 (sin.f64 y) 0))
(*.f64 (*.f64 (sin.f64 y) z) 2)
(*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(*.f64 1 (*.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (sqrt.f64 (sin.f64 y)) (+.f64 (*.f64 (sqrt.f64 (sin.f64 y)) z) (*.f64 (sqrt.f64 (sin.f64 y)) z)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (sqrt.f64 z) (+.f64 (*.f64 (sqrt.f64 z) (sin.f64 y)) (*.f64 (sqrt.f64 z) (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (+.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (+.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (+.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (+.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (+.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (+.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(*.f64 (neg.f64 z) (*.f64 (sin.f64 y) 0))
(*.f64 -1 (*.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (*.f64 (neg.f64 z) 1) (*.f64 (sin.f64 y) 0))
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (+.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (+.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (+.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (+.f64 (cbrt.f64 z) (cbrt.f64 z)))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (+.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (+.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2)) (+.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 2 (*.f64 (sin.f64 y) z))
(/.f64 (*.f64 2 (pow.f64 (*.f64 (sin.f64 y) z) 3)) (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (*.f64 (sin.f64 y) (+.f64 z z)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (*.f64 (sin.f64 y) (+.f64 z z)))
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (+.f64 z z))))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (cos.f64 y) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (cos.f64 y) x) (fma.f64 (*.f64 (sin.f64 y) z) 1 (*.f64 (sin.f64 y) z))))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (cos.f64 y) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (cos.f64 y) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z))))
(+.f64 (*.f64 (sin.f64 y) (+.f64 z z)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (+.f64 (sin.f64 y) (*.f64 (sin.f64 y) 0))))
(+.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) (+.f64 z z))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (+.f64 (sin.f64 y) (*.f64 (sin.f64 y) 0))) (*.f64 (sin.f64 y) (+.f64 z z))))
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(+.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) (+.f64 z z)) (*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2)))
(+.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2) (*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2)))
(+.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2)))
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(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) x)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 1 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) (+.f64 z z)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (*.f64 (sin.f64 y) (+.f64 z z)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (*.f64 (sin.f64 y) (+.f64 z z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
Outputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 y (-.f64 z z))
(*.f64 y 0)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(fma.f64 (pow.f64 y 3) (-.f64 z z) (*.f64 y (-.f64 z z)))
(fma.f64 (pow.f64 y 3) 0 (*.f64 y 0))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(fma.f64 (pow.f64 y 3) (-.f64 z z) (fma.f64 (-.f64 z z) (pow.f64 y 5) (*.f64 y (-.f64 z z))))
(fma.f64 (pow.f64 y 3) 0 (fma.f64 0 (pow.f64 y 5) (*.f64 y 0)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(fma.f64 (pow.f64 y 3) (-.f64 z z) (fma.f64 (-.f64 z z) (pow.f64 y 7) (fma.f64 (-.f64 z z) (pow.f64 y 5) (*.f64 y (-.f64 z z)))))
(fma.f64 (pow.f64 y 3) 0 (fma.f64 0 (pow.f64 y 7) (fma.f64 0 (pow.f64 y 5) (*.f64 y 0))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 z (*.f64 (sin.f64 y) 2))
(+.f64 (-.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 z (*.f64 (sin.f64 y) 2))
(+.f64 (-.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(+.f64 (-.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (fma.f64 (sin.f64 y) z 1) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
0
(-.f64 0 (*.f64 (sin.f64 y) (+.f64 z z)))
(neg.f64 (*.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (sin.f64 y) (*.f64 -2 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) z) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (sin.f64 y) z 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 z (*.f64 (sin.f64 y) 2))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))
0
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(+.f64 (fma.f64 (sin.f64 y) z (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) -1)
(+.f64 -1 (fma.f64 (sin.f64 y) z (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 z (*.f64 (sin.f64 y) 2))
(*.f64 (sin.f64 y) (+.f64 z (neg.f64 z)))
0
(*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))
0
(*.f64 (sin.f64 y) (+.f64 (neg.f64 z) (neg.f64 z)))
(neg.f64 (*.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (sin.f64 y) (*.f64 -2 z))
(*.f64 z (*.f64 (sin.f64 y) 0))
0
(*.f64 (*.f64 (sin.f64 y) z) 2)
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 z (*.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
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(/.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 3)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))))
(/.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 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (+.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3))))
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(/.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 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))))))
(*.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 (pow.f64 (*.f64 x (cos.f64 y)) 6) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (+.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) x)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (+.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 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) (*.f64 (sin.f64 y) (*.f64 z (*.f64 x (cos.f64 y))))))))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 1)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 3)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 3) 1/3)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) 3))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 1))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 1 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) (+.f64 z z)))
(fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) (+.f64 z z) (*.f64 x (cos.f64 y))))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (*.f64 (sin.f64 y) (+.f64 z z)))
(fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) (+.f64 z z) (*.f64 x (cos.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
(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 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) (*.f64 (sin.f64 y) (+.f64 z z)))
(fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) (+.f64 z z) (*.f64 x (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))

eval345.0ms (2.9%)

Compiler

Compiled 25879 to 8740 computations (66.2% saved)

prune270.0ms (2.2%)

Pruning

34 alts after pruning (25 fresh and 9 done)

PrunedKeptTotal
New92414938
Fresh61117
Picked101
Done1910
Total93234966
Error
0b
Counts
966 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
14.9b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
4.0b
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 z (/.f64 (sin.f64 y) z)) (neg.f64 z)))
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
22.0b
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
43.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
19.9b
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
21.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
47.9b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
41.9b
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
21.1b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
39.5b
(/.f64 1 (/.f64 1 x))
40.0b
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
13.9b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
4.8b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))))
0.2b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) z))
21.4b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
20.3b
(-.f64 (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/2))) (/.f64 z (/.f64 1 (sin.f64 y))))
12.0b
(-.f64 (/.f64 x (sqrt.f64 (pow.f64 (cos.f64 y) -2))) (/.f64 z (/.f64 1 (sin.f64 y))))
45.4b
(-.f64 (+.f64 1 x) 1)
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.1b
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
19.0b
(-.f64 x (*.f64 z (sin.f64 y)))
32.9b
(-.f64 x (*.f64 y z))
41.9b
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 3 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
41.3b
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
41.3b
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
62.6b
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
41.8b
(*.f64 (sin.f64 y) (neg.f64 z))
21.1b
(*.f64 (cos.f64 y) x)
21.8b
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
55.1b
(*.f64 z (neg.f64 y))
56.4b
(sqrt.f64 (*.f64 x x))
52.3b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
39.5b
x
Compiler

Compiled 418 to 295 computations (29.4% saved)

regimes165.0ms (1.4%)

Counts
66 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (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 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(-.f64 (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/2))) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 z (/.f64 (sin.f64 y) z)) (neg.f64 z)))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (/.f64 x (sqrt.f64 (pow.f64 (cos.f64 y) -2))) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3))
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 3 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 3 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3) 3)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))) (cbrt.f64 (/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x)) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 2) 3) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2))
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.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) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.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 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
Calls

4 calls:

40.0ms
z
38.0ms
x
34.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
31.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 1059 to 371 computations (65% saved)

regimes82.0ms (0.7%)

Counts
34 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (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 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(-.f64 (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/2))) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

19.0ms
y
18.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
x
17.0ms
z
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 329 to 154 computations (53.2% saved)

regimes168.0ms (1.4%)

Counts
25 → 5
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (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 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(-.f64 (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/2))) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
Outputs
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
Calls

3 calls:

75.0ms
x
50.0ms
z
38.0ms
y
Results
ErrorSegmentsBranch
6.4b5x
11.6b2y
6.7b3z
Compiler

Compiled 233 to 114 computations (51.1% saved)

bsearch128.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
1.8940843887730434e+21
2.467911228108932e+25
42.0ms
1.0211259086462984e-101
6.298017181957402e-86
22.0ms
3.534028000005758e-153
1.3598417961452517e-152
29.0ms
-2.0881567660938607e-44
-3.0616046882252927e-46
Results
50.0ms300×body256valid
50.0ms113×body1024valid
20.0ms67×body512valid
Compiler

Compiled 918 to 673 computations (26.7% saved)

regimes149.0ms (1.2%)

Counts
24 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (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 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(-.f64 (/.f64 x (+.f64 1 (*.f64 (*.f64 y y) 1/2))) (/.f64 z (/.f64 1 (sin.f64 y))))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

67.0ms
x
44.0ms
z
32.0ms
y
Results
ErrorSegmentsBranch
7.8b5x
12.4b3y
7.2b3z
Compiler

Compiled 217 to 104 computations (52.1% saved)

bsearch72.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
8.455752433259232e-82
4.0008183284837404e-79
39.0ms
-1.8156763269131289e-19
-3.344402362182598e-27
Results
28.0ms64×body1024valid
25.0ms158×body256valid
15.0ms50×body512valid
Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes146.0ms (1.2%)

Counts
16 → 7
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

56.0ms
x
47.0ms
z
39.0ms
y
Results
ErrorSegmentsBranch
11.3b7x
11.8b4y
12.6b5z
Compiler

Compiled 141 to 70 computations (50.4% saved)

bsearch331.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
4.195993476574013e-24
1.9500054334131972e-22
156.0ms
5.95212684647024e-66
5.413731268808756e-65
29.0ms
7.009343719079513e-224
2.682825062989778e-222
37.0ms
-1.293358699318181e-243
-1.1210308627873896e-243
49.0ms
-1.8082091175566287e-215
-6.015240296765163e-235
29.0ms
-2.0214738675841666e-29
-2.540956796952984e-31
Results
231.0ms161×body1024valid
59.0ms369×body256valid
32.0ms110×body512valid
Compiler

Compiled 698 to 533 computations (23.6% saved)

regimes130.0ms (1.1%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

75.0ms
y
30.0ms
x
22.0ms
z
Results
ErrorSegmentsBranch
17.6b3x
13.8b3y
17.0b3z
Compiler

Compiled 131 to 67 computations (48.9% saved)

bsearch76.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
1.0502149376817595e-14
0.023386307321658997
32.0ms
-26.964527446222075
-2.282659066114327e-5
Results
50.0ms304×body256valid
Compiler

Compiled 493 to 336 computations (31.8% saved)

regimes25.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) x) (*.f64 y z))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(sqrt.f64 (*.f64 x x))
Outputs
(-.f64 x (*.f64 y z))
Calls

3 calls:

8.0ms
y
7.0ms
z
7.0ms
x
Results
ErrorSegmentsBranch
32.9b1x
32.9b1y
32.9b1z
Compiler

Compiled 127 to 65 computations (48.8% saved)

regimes25.0ms (0.2%)

Accuracy

Total -25.2b remaining (-67.7%)

Threshold costs -25.2b (-67.7%)

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

3 calls:

10.0ms
x
9.0ms
y
5.0ms
z
Results
ErrorSegmentsBranch
37.2b3x
38.4b3y
37.6b2z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
7.009343719079513e-224
2.682825062989778e-222
32.0ms
-2.0214738675841666e-29
-2.540956796952984e-31
Results
29.0ms64×body1024valid
21.0ms125×body256valid
10.0ms35×body512valid
Compiler

Compiled 200 to 153 computations (23.5% saved)

simplify74.0ms (0.6%)

Algorithm
egg-herbie
Rules
28×*-commutative
24×not-or
24×+-commutative
22×if-if-or-not
20×not-not
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
086535
1127517
2153473
3175457
4191453
5206449
6214449
7220449
8222449
9223449
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -4113761393303015/12855504354071922204335696738729300820177623950262342682411008) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (<=.f64 x 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x 1891296297426935/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (<=.f64 x 52000000000000000000000) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))
(if (<=.f64 z -4219501349819637/2722258935367507707706996859454145691648) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (*.f64 (cos.f64 y) x) (if (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (*.f64 (cos.f64 y) x) (if (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (*.f64 (cos.f64 y) x) (if (<=.f64 x 7826494439181585/680564733841876926926749214863536422912) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 y -6456360425798343/2305843009213693952) (*.f64 (cos.f64 y) x) (if (<=.f64 y 5620492334958379/288230376151711744) (+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2)) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -3882113724160211/11417981541647679048466287755595961091061972992) x (if (<=.f64 x 7814079413531079/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (*.f64 z (neg.f64 y)) x))
x
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -4113761393303015/12855504354071922204335696738729300820177623950262342682411008) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (<=.f64 x 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x 1891296297426935/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (<=.f64 x 52000000000000000000000) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))))
(if (<=.f64 x -4113761393303015/12855504354071922204335696738729300820177623950262342682411008) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (<=.f64 x 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (-.f64 x (*.f64 z (sin.f64 y))) (if (or (<=.f64 x 1891296297426935/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (not (<=.f64 x 52000000000000000000000))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (-.f64 x (*.f64 z (sin.f64 y))))))
(if (<=.f64 x -4113761393303015/12855504354071922204335696738729300820177623950262342682411008) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (or (<=.f64 x 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (not (or (<=.f64 x 1891296297426935/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (not (<=.f64 x 52000000000000000000000))))) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (or (<=.f64 x -4113761393303015/12855504354071922204335696738729300820177623950262342682411008) (not (or (<=.f64 x 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (not (or (<=.f64 x 1891296297426935/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (not (<=.f64 x 52000000000000000000000))))))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (-.f64 x (*.f64 z (sin.f64 y))))
(if (or (<=.f64 x -4113761393303015/12855504354071922204335696738729300820177623950262342682411008) (not (or (<=.f64 x 6368561591886351/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (and (not (<=.f64 x 1891296297426935/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264)) (<=.f64 x 52000000000000000000000))))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (-.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 z -4219501349819637/2722258935367507707706996859454145691648) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -4219501349819637/2722258935367507707706996859454145691648) (not (<=.f64 z 6194362404170639/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288))) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(if (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (*.f64 (cos.f64 y) x) (if (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (*.f64 (cos.f64 y) x) (if (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (*.f64 (cos.f64 y) x) (if (<=.f64 x 7826494439181585/680564733841876926926749214863536422912) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (*.f64 (cos.f64 y) x) (if (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (*.f64 (cos.f64 y) x) (if (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (*.f64 (neg.f64 z) (sin.f64 y)) (if (or (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (not (<=.f64 x 7826494439181585/680564733841876926926749214863536422912))) (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))))))
(if (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (*.f64 (cos.f64 y) x) (if (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (*.f64 (cos.f64 y) x) (if (or (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (not (or (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (not (<=.f64 x 7826494439181585/680564733841876926926749214863536422912))))) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (*.f64 (cos.f64 y) x) (if (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (*.f64 (neg.f64 z) (sin.f64 y)) (if (or (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (not (or (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (not (or (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (not (<=.f64 x 7826494439181585/680564733841876926926749214863536422912))))))) (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (*.f64 (cos.f64 y) x) (if (or (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (not (or (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (not (or (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (and (not (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712)) (<=.f64 x 7826494439181585/680564733841876926926749214863536422912))))))) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (not (or (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (not (or (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (not (or (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (and (not (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712)) (<=.f64 x 7826494439181585/680564733841876926926749214863536422912))))))))) (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(if (or (<=.f64 x -1170343108018887/1427247692705959881058285969449495136382746624) (not (or (<=.f64 x -8734865695134863/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (and (not (<=.f64 x -75075168288047/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992)) (or (<=.f64 x 8628046019107233/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (and (not (<=.f64 x 8157691637276011/948568795032094272909893509191171341133987714380927500611236528192824358010355712)) (<=.f64 x 7826494439181585/680564733841876926926749214863536422912))))))) (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))
(if (<=.f64 y -6456360425798343/2305843009213693952) (*.f64 (cos.f64 y) x) (if (<=.f64 y 5620492334958379/288230376151711744) (+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 (*.f64 y y) x) -1/2)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -6456360425798343/2305843009213693952) (not (<=.f64 y 5620492334958379/288230376151711744))) (*.f64 (cos.f64 y) x) (+.f64 (-.f64 x (*.f64 y z)) (*.f64 (*.f64 x (*.f64 y y)) -1/2)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -3882113724160211/11417981541647679048466287755595961091061972992) x (if (<=.f64 x 7814079413531079/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (*.f64 z (neg.f64 y)) x))
(if (<=.f64 x -3882113724160211/11417981541647679048466287755595961091061972992) x (if (<=.f64 x 7814079413531079/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (*.f64 y (neg.f64 z)) x))
x
Compiler

Compiled 186 to 129 computations (30.6% saved)

soundness217.0ms (1.8%)

Algorithm
egg-herbie
Rules
1876×associate-+r+
1112×fma-def
1002×+-commutative
634×associate-*r*
562×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054111681
1156511191
2700611191
Stop Event
node limit
Compiler

Compiled 72 to 23 computations (68.1% saved)

end152.0ms (1.3%)

Compiler

Compiled 162 to 85 computations (47.5% saved)

Profiling

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