Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, B

Time bar (total: 7.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.6s (21.3%)

Results
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Bogosity

preprocess267.0ms (3.6%)

Algorithm
egg-herbie
Rules
872×fma-define
662×fma-neg
164×unsub-neg
152×associate-*r*
132×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-z
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 z (cos.f64 y))
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043409
197409
2180409
3400409
4679409
51001409
61364409
71497409
81649409
91803409
101864409
111876409
121883409
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 y))) (*.f64 z (cos.f64 (neg.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y))))
(neg.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 y))) (*.f64 z (cos.f64 (neg.f64 y)))))
(neg.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))))
(+.f64 (*.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 (neg.f64 y))) (*.f64 z (cos.f64 (neg.f64 y))))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(neg.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 y))) (*.f64 z (cos.f64 (neg.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(neg.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(fma.f64 y (sin.f64 x) (*.f64 z (cos.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
(fma.f64 x (sin.f64 z) (*.f64 y (cos.f64 z)))
Compiler

Compiled 68 to 26 computations (61.8% saved)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize48.0ms (0.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
99.8%
(*.f64 z (cos.f64 y))
99.8%
(*.f64 x (sin.f64 y))
Compiler

Compiled 28 to 9 computations (67.9% saved)

series19.0ms (0.3%)

Counts
3 → 18
Calls

21 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 x (sin.f64 y))
2.0ms
x
@0
(*.f64 x (sin.f64 y))
1.0ms
z
@inf
(*.f64 z (cos.f64 y))
1.0ms
z
@0
(*.f64 z (cos.f64 y))
1.0ms
y
@0
(*.f64 x (sin.f64 y))

rewrite221.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
880×log-prod
825×log1p-expm1-u
825×expm1-log1p-u
676×pow-prod-down
644×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01569
117669
2224069
Stop Event
node limit
Counts
3 → 117
Calls
Call 1
Inputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 0 (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 2))
(+.f64 0 (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 x (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 y)) x) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 (cos.f64 y)) z)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 y)) z) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 2))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) 1 (*.f64 x (sin.f64 y)))
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (cos.f64 y)))

simplify87.0ms (1.2%)

Algorithm
egg-herbie
Rules
988×unswap-sqr
746×cancel-sign-sub-inv
732×distribute-lft-in
702×distribute-rgt-in
654×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03155237
17445135
224815135
Stop Event
node limit
Counts
135 → 157
Calls
Call 1
Inputs
(*.f64 x y)
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x y))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y)))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y))))
z
(+.f64 z (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
z
(+.f64 z (*.f64 x y))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 x y)))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x y))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 0 (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 2))
(+.f64 0 (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 x (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 y)) x) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 (cos.f64 y)) z)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 y)) z) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 2))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) 1 (*.f64 x (sin.f64 y)))
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
Outputs
(*.f64 x y)
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x y))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (*.f64 x y))
(fma.f64 x y (*.f64 x (*.f64 (pow.f64 y 3) -1/6)))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y)))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x y)))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 x y (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 x y (*.f64 (pow.f64 y 5) (*.f64 x 1/120))))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y))))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x y))))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (fma.f64 x y (*.f64 1/120 (*.f64 x (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (fma.f64 x y (*.f64 (pow.f64 y 5) (*.f64 x 1/120)))))
z
(+.f64 z (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2))))
(fma.f64 -1/2 (*.f64 z (pow.f64 y 2)) z)
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 z (fma.f64 -1/2 (*.f64 z (pow.f64 y 2)) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z)))
(+.f64 z (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
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(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 y)) z) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) 1))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1/3))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 2))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (sin.f64 y)) 1 (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) 1 (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))

eval171.0ms (2.3%)

Compiler

Compiled 2519 to 867 computations (65.6% saved)

prune44.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New13819157
Fresh000
Picked011
Done000
Total13820158
Accuracy
100.0%
Counts
158 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
99.1%
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
44.3%
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
98.5%
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
50.9%
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
75.2%
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
99.1%
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
42.4%
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
53.1%
(/.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
54.9%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
99.0%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) (*.f64 z (cos.f64 y)))
50.5%
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
98.5%
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
59.2%
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
52.4%
(+.f64 (*.f64 x y) z)
69.3%
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 z (cos.f64 y)))
59.8%
(*.f64 z (cos.f64 y))
41.9%
(*.f64 x (sin.f64 y))
Compiler

Compiled 574 to 374 computations (34.8% saved)

localize272.0ms (3.6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(sqrt.f64 (sin.f64 y))
99.9%
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
99.9%
(*.f64 z (cos.f64 y))
99.8%
(*.f64 x (sqrt.f64 (sin.f64 y)))
99.9%
(*.f64 x (sin.f64 y))
99.9%
(*.f64 z (cos.f64 y))
99.6%
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
94.4%
(cbrt.f64 (*.f64 x (sin.f64 y)))
99.9%
(*.f64 x (sin.f64 y))
99.9%
(*.f64 z (cos.f64 y))
99.8%
(pow.f64 (*.f64 x (sin.f64 y)) 3)
76.8%
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
99.9%
(*.f64 (cbrt.f64 (cos.f64 y)) z)
99.9%
(*.f64 x (sin.f64 y))
99.8%
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
99.7%
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 168 to 38 computations (77.4% saved)

series74.0ms (1%)

Counts
10 → 148
Calls

54 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
4.0ms
x
@-inf
(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms
z
@0
(*.f64 (cbrt.f64 (cos.f64 y)) z)
3.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
2.0ms
y
@inf
(cbrt.f64 (cos.f64 y))

rewrite162.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1422×prod-diff
725×log1p-expm1-u
725×expm1-log1p-u
476×expm1-undefine
476×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027218
1346201
23592197
Stop Event
node limit
Counts
10 → 258
Calls
Call 1
Inputs
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) z)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(sqrt.f64 (sin.f64 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))

simplify165.0ms (2.2%)

Algorithm
egg-herbie
Rules
1252×exp-prod
1140×log-prod
1038×associate-*r*
1038×associate-*l*
1032×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053910302
1119910133
2473410133
Stop Event
node limit
Counts
406 → 323
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/72 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (*.f64 -23/6480 (pow.f64 y 6)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (+.f64 (*.f64 -1/405 (pow.f64 y 6)) (*.f64 -1/1701 (pow.f64 y 8)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
z
(+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/72 (*.f64 (pow.f64 y 4) z))))
(+.f64 z (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/72 (*.f64 (pow.f64 y 4) z)) (*.f64 -23/6480 (*.f64 (pow.f64 y 6) z)))))
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (cos.f64 y)) 1/3) z)
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(*.f64 -1 (*.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(*.f64 x y)
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x y))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y)))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y))))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 y 7) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x (+.f64 (*.f64 1/60 (pow.f64 x 2)) (*.f64 1/36 (pow.f64 x 2)))))))))
(+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 y 7) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x (+.f64 (*.f64 1/60 (pow.f64 x 2)) (*.f64 1/36 (pow.f64 x 2))))))) (*.f64 (pow.f64 y 9) (+.f64 (*.f64 -1/6 (*.f64 x (+.f64 (*.f64 1/60 (pow.f64 x 2)) (*.f64 1/36 (pow.f64 x 2))))) (+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 3)) (*.f64 x (+.f64 (*.f64 -1/360 (pow.f64 x 2)) (*.f64 -1/2520 (pow.f64 x 2)))))))))))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
z
(+.f64 z (*.f64 x y))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 x y)))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x y))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z))) 1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) 1)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (cos.f64 y))) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) 3))
(cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 x (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 1 (*.f64 x (sin.f64 y)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (pow.f64 x 2))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 3))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (pow.f64 (sin.f64 y) 1/4)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (pow.f64 (sin.f64 y) 1/4)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (*.f64 x (sin.f64 y)) 1/6)) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(exp.f64 (+.f64 (log.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))) 1)
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(*.f64 (sin.f64 y) (*.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1)
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 x (sin.f64 y)))
(*.f64 1 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) x) (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (sin.f64 y)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (sqrt.f64 (*.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))) 1)
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1/3))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/9)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 x (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 1 (*.f64 x (sin.f64 y)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (pow.f64 x 2))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 3))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (pow.f64 (sin.f64 y) 1/4)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (pow.f64 (sin.f64 y) 1/4)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (sin.f64 y) 1/4)) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (*.f64 x (sin.f64 y)) 1/6)) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3) (pow.f64 (sin.f64 y) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(exp.f64 (+.f64 (log.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (sin.f64 y))))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 2)
(sqrt.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 1))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) 1)
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 1)
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 3)
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3) 1/3)
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2)
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2))
(fabs.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 1))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(sqrt.f64 (sin.f64 y))
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 1/2)
(sqrt.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(sqrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(sqrt.f64 (sin.f64 y))
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(sqrt.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(sqrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
(sqrt.f64 (sin.f64 y))

eval359.0ms (4.8%)

Compiler

Compiled 19721 to 7855 computations (60.2% saved)

prune346.0ms (4.6%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1003101013
Fresh41014
Picked415
Done011
Total1011221033
Accuracy
100.0%
Counts
1033 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)) 3) (*.f64 x (sin.f64 y)))
99.5%
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))) z) (*.f64 x (sin.f64 y)))
98.5%
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
50.9%
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
75.2%
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
31.7%
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) z)
99.6%
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
53.1%
(/.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
54.9%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
78.8%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
99.1%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
44.3%
(+.f64 (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
99.1%
(+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
50.5%
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
98.5%
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
59.2%
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
52.4%
(+.f64 (*.f64 x y) z)
52.5%
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
59.8%
(*.f64 (cos.f64 y) z)
41.9%
(*.f64 x (sin.f64 y))
Compiler

Compiled 636 to 419 computations (34.1% saved)

localize233.0ms (3.1%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)))
99.8%
(*.f64 (cbrt.f64 x) (sin.f64 y))
99.6%
(pow.f64 (cbrt.f64 x) 2)
99.6%
(cbrt.f64 x)
99.9%
(*.f64 z (cos.f64 y))
99.9%
(*.f64 x (sin.f64 y))
99.7%
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
92.9%
(sqrt.f64 (*.f64 x (sin.f64 y)))
100.0%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
99.9%
(*.f64 x (sin.f64 y))
99.5%
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
92.5%
(cbrt.f64 (*.f64 x (sin.f64 y)))
99.9%
(*.f64 x (sin.f64 y))
99.9%
(*.f64 x (sin.f64 y))
99.8%
(pow.f64 (cos.f64 y) 2)
99.8%
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
99.7%
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 175 to 46 computations (73.7% saved)

series72.0ms (1%)

Counts
9 → 84
Calls

45 calls:

TimeVariablePointExpression
16.0ms
y
@0
(sqrt.f64 (*.f64 x (sin.f64 y)))
11.0ms
x
@-inf
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)))
2.0ms
y
@inf
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms
y
@-inf
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms
y
@inf
(*.f64 (cbrt.f64 x) (sin.f64 y))

rewrite170.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1382×log-prod
948×fma-define
732×log1p-expm1-u
732×expm1-log1p-u
444×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026156
1357152
23674152
Stop Event
node limit
Counts
9 → 299
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
(sqrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)))
Outputs
(+.f64 0 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 2/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y))))
(+.f64 0 (pow.f64 (cos.f64 y) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 (*.f64 2 y)) (cos.f64 (-.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (fma.f64 x (sin.f64 y) (neg.f64 z))) (/.f64 (pow.f64 z 2) (fma.f64 x (sin.f64 y) (neg.f64 z))))
(*.f64 (fma.f64 x (sin.f64 y) z) 1)
(*.f64 1 (fma.f64 x (sin.f64 y) z))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 z 2)) (/.f64 1 (fma.f64 x (sin.f64 y) (neg.f64 z))))
(/.f64 1 (/.f64 (fma.f64 z (-.f64 z (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (fma.f64 x (sin.f64 y) (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 z 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 x (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 z 2)) (fma.f64 x (sin.f64 y) (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 z 2))) (neg.f64 (fma.f64 x (sin.f64 y) (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 z 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 z (*.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 x (sin.f64 y) z) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (+.f64 1 (expm1.f64 z))))
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(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (pow.f64 x 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)))) 1)
(pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 1)
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(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 3) 1/3)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)))))
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(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
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(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))

simplify165.0ms (2.2%)

Algorithm
egg-herbie
Rules
960×associate-*r*
924×associate-*l*
856×log-prod
788×exp-prod
526×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062210113
112979871
246509655
Stop Event
node limit
Counts
383 → 391
Calls
Call 1
Inputs
1
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(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
1
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z
z
z
z
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z
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)))) 1)
(pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) x))
(cbrt.f64 (*.f64 x (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))) 1))
(+.f64 0 (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(fma.f64 -1/3 (pow.f64 y 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (pow.f64 y 2) (*.f64 -1/405 (pow.f64 y 6))))
(+.f64 (fma.f64 -1/3 (pow.f64 y 2) 1) (*.f64 -1/405 (pow.f64 y 6)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (+.f64 (*.f64 -1/405 (pow.f64 y 6)) (*.f64 -1/1701 (pow.f64 y 8)))))
(+.f64 1 (fma.f64 -1/3 (pow.f64 y 2) (fma.f64 -1/405 (pow.f64 y 6) (*.f64 -1/1701 (pow.f64 y 8)))))
(+.f64 (fma.f64 -1/3 (pow.f64 y 2) 1) (fma.f64 -1/405 (pow.f64 y 6) (*.f64 -1/1701 (pow.f64 y 8))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1
(+.f64 1 (*.f64 -1 (pow.f64 y 2)))
(+.f64 1 (neg.f64 (pow.f64 y 2)))
(-.f64 1 (pow.f64 y 2))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 1/3 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1 (pow.f64 y 2) (*.f64 1/3 (pow.f64 y 4))))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 y 4)) (pow.f64 y 2)))
(+.f64 1 (fma.f64 1/3 (pow.f64 y 4) (neg.f64 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1 (pow.f64 y 2) (fma.f64 -2/45 (pow.f64 y 6) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 y 6) -2/45 (*.f64 1/3 (pow.f64 y 4))) (pow.f64 y 2)))
(+.f64 (-.f64 1 (pow.f64 y 2)) (fma.f64 (pow.f64 y 6) -2/45 (*.f64 1/3 (pow.f64 y 4))))
z
z
z
z
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
z
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
z
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(+.f64 z (*.f64 (pow.f64 1 1/3) (*.f64 x (sin.f64 y))))
(fma.f64 x (sin.f64 y) z)
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) y)
(*.f64 y (cbrt.f64 x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) y))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 x)) (*.f64 y (cbrt.f64 x)))
(fma.f64 y (cbrt.f64 x) (*.f64 (*.f64 -1/6 (pow.f64 y 3)) (cbrt.f64 x)))
(fma.f64 y (cbrt.f64 x) (*.f64 (pow.f64 y 3) (*.f64 -1/6 (cbrt.f64 x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) y)))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 x)) (*.f64 y (cbrt.f64 x))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 y (cbrt.f64 x) (*.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 y (cbrt.f64 x) (*.f64 (pow.f64 y 5) (*.f64 1/120 (cbrt.f64 x)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) y))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 x)) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 x)) (*.f64 y (cbrt.f64 x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 x)) (fma.f64 y (cbrt.f64 x) (*.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 x))))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 x)) (fma.f64 y (cbrt.f64 x) (*.f64 (pow.f64 y 5) (*.f64 1/120 (cbrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x y))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (*.f64 y x))
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (*.f64 x (*.f64 (pow.f64 y 3) -1/6)))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y)))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 y x)))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 y x (*.f64 x (*.f64 (pow.f64 y 5) 1/120))))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 x (pow.f64 y 5))) (*.f64 x y))))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 y x))))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (fma.f64 y x (*.f64 x (*.f64 (pow.f64 y 5) 1/120)))))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(+.f64 0 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(pow.f64 (cos.f64 y) 2/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 y))) 1/3))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 y 2))))
(fma.f64 1/2 (cos.f64 (*.f64 y 2)) 1/2)
(+.f64 0 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))))
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(+.f64 0 (cbrt.f64 x))
(cbrt.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) (cbrt.f64 (exp.f64 (cbrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(+.f64 0 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 4))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (pow.f64 x 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))
(pow.f64 (cbrt.f64 x) 2)
(+.f64 0 (*.f64 (sin.f64 y) (cbrt.f64 x)))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x)))))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)))) 1)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
(pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 1)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))) 3)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 3) 1/3)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))) 2)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 2))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 x)))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)))))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 x)) 3))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) x))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(cbrt.f64 (*.f64 x (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (cbrt.f64 x))) 1))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(+.f64 0 (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(*.f64 x (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 x (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 x (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(*.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 x (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(*.f64 x (sin.f64 y))

eval336.0ms (4.5%)

Compiler

Compiled 20264 to 8550 computations (57.8% saved)

prune163.0ms (2.2%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1111101121
Fresh41115
Picked325
Done022
Total1118251143
Accuracy
100.0%
Counts
1143 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)) 3) (*.f64 x (sin.f64 y)))
99.5%
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))) z) (*.f64 x (sin.f64 y)))
37.3%
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
98.5%
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
50.9%
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
75.2%
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
78.9%
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) z)
31.7%
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) z)
99.6%
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
61.4%
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x y))
99.6%
(fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
20.3%
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
41.1%
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
78.9%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) z)
50.5%
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
98.5%
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
59.2%
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
52.4%
(+.f64 (*.f64 x y) z)
59.8%
(*.f64 (cos.f64 y) z)
41.9%
(*.f64 x (sin.f64 y))
15.9%
(*.f64 x y)
17.8%
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
40.5%
z
Compiler

Compiled 613 to 414 computations (32.5% saved)

localize434.0ms (5.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
100.0%
(sqrt.f64 (cos.f64 y))
99.9%
(*.f64 x (sin.f64 y))
99.9%
(*.f64 z (sqrt.f64 (cos.f64 y)))
100.0%
(sqrt.f64 (*.f64 z (cos.f64 y)))
99.9%
(*.f64 z (cos.f64 y))
99.9%
(*.f64 x (sin.f64 y))
99.7%
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
99.9%
(*.f64 x (sin.f64 y))
99.7%
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
93.0%
(cbrt.f64 (*.f64 x (sin.f64 y)))
99.9%
(*.f64 x (sin.f64 y))
99.9%
(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2))
99.9%
(cbrt.f64 (cos.f64 y))
99.8%
(+.f64 1 (cos.f64 (*.f64 y 2)))
Compiler

Compiled 168 to 60 computations (64.3% saved)

series65.0ms (0.9%)

Counts
7 → 84
Calls

36 calls:

TimeVariablePointExpression
29.0ms
y
@0
(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2))
4.0ms
y
@inf
(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2))
3.0ms
z
@-inf
(sqrt.f64 (*.f64 z (cos.f64 y)))
2.0ms
y
@-inf
(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2))
2.0ms
z
@-inf
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)

rewrite160.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1630×prod-diff
917×log1p-expm1-u
565×expm1-log1p-u
282×associate-*r*
188×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027177
1369160
24136160
Stop Event
node limit
Counts
7 → 186
Calls
Call 1
Inputs
(+.f64 1 (cos.f64 (*.f64 y 2)))
(cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 (*.f64 y 2))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 (*.f64 y 2)))) (/.f64 (pow.f64 (cos.f64 (*.f64 y 2)) 2) (-.f64 1 (cos.f64 (*.f64 y 2)))))
(*.f64 1 (+.f64 1 (cos.f64 (*.f64 y 2))))
(*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) 2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 y 2)) 2) (cos.f64 (*.f64 y 2))))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 2)) (/.f64 1 (-.f64 1 (cos.f64 (*.f64 y 2)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 y 2)) 2) (cos.f64 (*.f64 y 2)))) (+.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 (*.f64 y 2))) (-.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 y 2)) 2) (cos.f64 (*.f64 y 2)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 y 2)) 2) (-.f64 1 (cos.f64 (*.f64 y 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 2)) (-.f64 1 (cos.f64 (*.f64 y 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 y 2)) 2) (cos.f64 (*.f64 y 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 y 2)) 2))) (neg.f64 (-.f64 1 (cos.f64 (*.f64 y 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 y 2)) 2) 1) (-.f64 (cos.f64 (*.f64 y 2)) 1))
(pow.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 (*.f64 y 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))))
(exp.f64 (log1p.f64 (cos.f64 (*.f64 y 2))))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (*.f64 y 2))) 1))
(fma.f64 1 (cos.f64 (*.f64 y 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y 2))) 2) (cbrt.f64 (cos.f64 (*.f64 y 2))) 1)
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 y 2))) (sqrt.f64 (cos.f64 (*.f64 y 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) (pow.f64 1/2 1/3))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) (/.f64 1 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2) 1/6) (pow.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 2 (+.f64 1 (cos.f64 (*.f64 y 2))))))
(/.f64 1 (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2))))))
(/.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 1 (cos.f64 (*.f64 y 2))))) (cbrt.f64 -2))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 y 2))))) (neg.f64 (cbrt.f64 2)))
(pow.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 1/2))))
(exp.f64 (*.f64 1/3 (+.f64 (log1p.f64 (cos.f64 (*.f64 y 2))) (log.f64 1/2))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 (*.f64 y 2))) (log.f64 1/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (cos.f64 (*.f64 y 2))) (log.f64 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 z (sqrt.f64 (cos.f64 y))))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 z 2))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (pow.f64 (cos.f64 y) 1/4)) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) (pow.f64 (cos.f64 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(exp.f64 (+.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 z) 1) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(sqrt.f64 (*.f64 (cos.f64 y) (pow.f64 z 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) 1)
(*.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 1))

simplify147.0ms (2%)

Algorithm
egg-herbie
Rules
752×log-prod
740×associate-*r*
724×associate-*l*
668×exp-prod
638×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05158858
111838505
242538353
Stop Event
node limit
Counts
270 → 302
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -2 (pow.f64 y 2)))
(+.f64 2 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 2/3 (pow.f64 y 4))))
(+.f64 2 (+.f64 (*.f64 -2 (pow.f64 y 2)) (+.f64 (*.f64 -4/45 (pow.f64 y 6)) (*.f64 2/3 (pow.f64 y 4)))))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 2))
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2)))
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 1/2) (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2))))
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 1/2) (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 8) (*.f64 (cbrt.f64 1/2) (-.f64 2/315 (*.f64 -2/3 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))))) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
z
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(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) 1)
(*.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 1))
Outputs
2
(+.f64 2 (*.f64 -2 (pow.f64 y 2)))
(fma.f64 -2 (pow.f64 y 2) 2)
(+.f64 2 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 2/3 (pow.f64 y 4))))
(+.f64 2 (fma.f64 -2 (pow.f64 y 2) (*.f64 2/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -2 (pow.f64 y 2) 2) (*.f64 2/3 (pow.f64 y 4)))
(+.f64 2 (+.f64 (*.f64 -2 (pow.f64 y 2)) (+.f64 (*.f64 -4/45 (pow.f64 y 6)) (*.f64 2/3 (pow.f64 y 4)))))
(+.f64 2 (fma.f64 -2 (pow.f64 y 2) (fma.f64 -4/45 (pow.f64 y 6) (*.f64 2/3 (pow.f64 y 4)))))
(+.f64 2 (fma.f64 -2 (pow.f64 y 2) (fma.f64 2/3 (pow.f64 y 4) (*.f64 -4/45 (pow.f64 y 6)))))
(+.f64 (fma.f64 -2 (pow.f64 y 2) 2) (fma.f64 2/3 (pow.f64 y 4) (*.f64 -4/45 (pow.f64 y 6))))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(+.f64 1 (cos.f64 (*.f64 2 y)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 2))
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2)))
(fma.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 2) (/.f64 (*.f64 (*.f64 -2/3 (cbrt.f64 1/2)) (pow.f64 y 2)) (pow.f64 (cbrt.f64 2) 2)))
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 1/2) (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2))))
(fma.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 1/3 (/.f64 (*.f64 (*.f64 (pow.f64 y 6) (cbrt.f64 1/2)) (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6)) -4/45)) (pow.f64 (cbrt.f64 2) 2)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2))))
(fma.f64 -2/3 (*.f64 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 1/2)) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 2) (*.f64 1/3 (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 (cbrt.f64 2) 2)) (*.f64 (cbrt.f64 1/2) -2/135)))))
(fma.f64 -2/3 (*.f64 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 1/2)) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 2) (/.f64 (*.f64 1/3 (*.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 1/2) -2/135))) (pow.f64 (cbrt.f64 2) 2))))
(+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 1/2) (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 8) (*.f64 (cbrt.f64 1/2) (-.f64 2/315 (*.f64 -2/3 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6))) 4/45))))) (pow.f64 (cbrt.f64 2) 2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2)))))
(fma.f64 -2/3 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 1/3 (/.f64 (*.f64 (*.f64 (pow.f64 y 6) (cbrt.f64 1/2)) (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6)) -4/45)) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 1/3 (/.f64 (pow.f64 y 8) (/.f64 (pow.f64 (cbrt.f64 2) 2) (*.f64 (cbrt.f64 1/2) (+.f64 2/315 (*.f64 2/3 (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6)) -4/45)))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 2)))))
(fma.f64 -2/3 (*.f64 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 1/2)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 (cbrt.f64 2) 2)) (*.f64 (cbrt.f64 1/2) -2/135)) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 2) (/.f64 (*.f64 (*.f64 1/3 (*.f64 (cbrt.f64 1/2) -2/567)) (pow.f64 y 8)) (pow.f64 (cbrt.f64 2) 2)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
(*.f64 (pow.f64 (*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 y)))))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))
z
(+.f64 z (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 (pow.f64 y 2) z) z)
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 z) (*.f64 1/16 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)))))
(+.f64 z (fma.f64 -1/2 (*.f64 (pow.f64 y 2) z) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)))))
(+.f64 z (fma.f64 (pow.f64 y 4) (fma.f64 z 5/48 (neg.f64 (*.f64 z 1/16))) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 y 2) z) z) (*.f64 (pow.f64 y 4) (fma.f64 z 1/24 0)))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 z) (*.f64 1/16 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))))
(+.f64 z (fma.f64 -1/2 (*.f64 (pow.f64 y 2) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))))
(+.f64 z (+.f64 (*.f64 (pow.f64 y 4) (fma.f64 z 5/48 (neg.f64 (*.f64 z 1/16)))) (*.f64 z (+.f64 (*.f64 (pow.f64 y 2) -1/2) (*.f64 (pow.f64 y 6) -1/720)))))
(+.f64 z (+.f64 (*.f64 (pow.f64 y 4) (fma.f64 z 1/24 0)) (*.f64 z (+.f64 (*.f64 (pow.f64 y 2) -1/2) (*.f64 (pow.f64 y 6) -1/720)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 y 2) -1/4 1))
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)) (*.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (sqrt.f64 (/.f64 1 z)))))))
(+.f64 (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 y 2) -1/4 1)) (*.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (fma.f64 z 1/24 (neg.f64 (*.f64 z 1/16))) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 y 2) -1/4 1)) (*.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 z 1/24) (*.f64 z 1/16)) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) (sqrt.f64 (/.f64 1 z)))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (*.f64 -1/4 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (sqrt.f64 (/.f64 1 z)))) (*.f64 (pow.f64 y 6) (*.f64 (+.f64 (*.f64 z -1/720) (*.f64 1/4 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)))) (sqrt.f64 (/.f64 1 z))))))))
(+.f64 (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 y 2) -1/4 1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (*.f64 (pow.f64 y 4) (fma.f64 z 1/24 (neg.f64 (*.f64 z 1/16)))) (*.f64 (pow.f64 y 6) (fma.f64 z -1/720 (*.f64 (fma.f64 z 1/24 (neg.f64 (*.f64 z 1/16))) 1/4)))))))
(+.f64 (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 y 2) -1/4 1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 z 1/24) (*.f64 z 1/16))) (*.f64 (pow.f64 y 6) (fma.f64 z -1/720 (*.f64 (-.f64 (*.f64 z 1/24) (*.f64 z 1/16)) 1/4)))))))
z
(+.f64 z (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (*.f64 (*.f64 (pow.f64 y 2) z) -1/4))
(*.f64 (fma.f64 (pow.f64 y 2) -1/4 1) z)
(+.f64 z (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/96 (*.f64 (pow.f64 y 4) z))))
(+.f64 z (fma.f64 -1/4 (*.f64 (pow.f64 y 2) z) (*.f64 -1/96 (*.f64 (pow.f64 y 4) z))))
(+.f64 z (*.f64 z (fma.f64 (pow.f64 y 2) -1/4 (*.f64 (pow.f64 y 4) -1/96))))
(+.f64 z (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/96 (*.f64 (pow.f64 y 4) z)) (*.f64 -19/5760 (*.f64 (pow.f64 y 6) z)))))
(+.f64 z (fma.f64 -1/4 (*.f64 (pow.f64 y 2) z) (fma.f64 -1/96 (*.f64 (pow.f64 y 4) z) (*.f64 (*.f64 (pow.f64 y 6) -19/5760) z))))
(+.f64 (*.f64 (fma.f64 (pow.f64 y 2) -1/4 1) z) (*.f64 z (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) -1/4))
(fma.f64 (pow.f64 y 2) -1/4 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 y 2) (*.f64 (pow.f64 y 4) -1/96)))
(+.f64 1 (fma.f64 (pow.f64 y 2) -1/4 (*.f64 (pow.f64 y 4) -1/96)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 y 2) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 (pow.f64 y 6) -19/5760))))
(+.f64 1 (fma.f64 (pow.f64 y 2) -1/4 (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760))))
(+.f64 (fma.f64 (pow.f64 y 2) -1/4 1) (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760)))
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) 1)
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 1)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 1)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 3)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 3) 1/3)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 2))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 3))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 1))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

eval369.0ms (4.9%)

Compiler

Compiled 20430 to 9452 computations (53.7% saved)

prune132.0ms (1.8%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New992101002
Fresh51116
Picked145
Done134
Total999281027
Accuracy
100.0%
Counts
1027 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)) 3) (*.f64 x (sin.f64 y)))
99.5%
(fma.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (+.f64 1 (cos.f64 (*.f64 y 2)))))) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
37.3%
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
56.7%
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x y))
78.9%
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) z)
31.7%
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) z)
99.6%
(fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
61.4%
(fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x y))
41.0%
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x)) 3)
20.3%
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
97.7%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 3)
41.1%
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
78.9%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) z)
50.5%
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
99.5%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
98.5%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
50.9%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
75.2%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
59.2%
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
79.6%
(+.f64 (*.f64 x (sin.f64 y)) z)
31.4%
(+.f64 (*.f64 x y) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
52.4%
(+.f64 (*.f64 x y) z)
59.8%
(*.f64 (cos.f64 y) z)
41.9%
(*.f64 x (sin.f64 y))
15.9%
(*.f64 x y)
17.8%
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
40.5%
z
Compiler

Compiled 974 to 448 computations (54% saved)

regimes102.0ms (1.4%)

Counts
50 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 (*.f64 x y) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
(+.f64 (*.f64 x y) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x)) 3)
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) z)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) (*.f64 z (cos.f64 y)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 3)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) z)
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x y))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) z)
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x y))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
(+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 y 2))) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (+.f64 1 (cos.f64 (*.f64 y 2)))))) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))) z) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)) 3) (*.f64 x (sin.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

34.0ms
z
22.0ms
x
22.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
21.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes56.0ms (0.8%)

Counts
7 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 (*.f64 x y) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
Outputs
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (cos.f64 y))
Calls

3 calls:

23.0ms
y
18.0ms
z
14.0ms
x
Results
AccuracySegmentsBranch
86.7%3x
83.5%5y
89.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes259.0ms (3.5%)

Counts
6 → 6
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 (*.f64 x y) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
Outputs
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x y) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Calls

3 calls:

123.0ms
x
105.0ms
z
31.0ms
y
Results
AccuracySegmentsBranch
81.5%6y
76.6%7x
78.2%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 (*.f64 x y) z)
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 x y) z)
(*.f64 x (sin.f64 y))
Calls

1 calls:

28.0ms
y
Results
AccuracySegmentsBranch
77.4%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.2%)

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

3 calls:

4.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
52.4%1x
52.4%1z
52.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes62.0ms (0.8%)

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

3 calls:

45.0ms
z
9.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
42.5%3y
43.5%3z
44.3%2x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
40.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch34.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.025012259228242198
0.47624792846418296
16.0ms
-1.1222292959476121e+192
-1.2961086932926886e+191
Results
29.0ms192×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms256valid
0.0ms256valid
Compiler

Compiled 252 to 182 computations (27.8% saved)

bsearch161.0ms (2.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
9.93991013667336e+229
1.357085878165967e+230
21.0ms
1.0631145262084331e+186
1.2777600028587634e+188
74.0ms
1.8116318391461212e+145
4.1218328182028915e+146
35.0ms
30926.241670876723
224641.50589322217
21.0ms
-685857035690.0731
-3576412387.635807
Results
153.0ms464×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 511 to 373 computations (27% saved)

bsearch47.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
30926.241670876723
224641.50589322217
21.0ms
-685857035690.0731
-3576412387.635807
Results
42.0ms192×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 239 to 169 computations (29.3% saved)

bsearch94.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
94.0ms
3.888406045680899e+138
4.8085119292944887e+154
Results
90.0ms144×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 138 to 103 computations (25.4% saved)

simplify12.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
047395
164385
267385
370381
471381
572381
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -130000000000000001518119460512096096997863843112837765595185300552858445173951162995165682953642395922503303739515344707971866158610827519785693657324472464337287155476703626839025034182262784) (*.f64 z (cos.f64 y)) (if (<=.f64 z 8196551321814303/18014398509481984) (+.f64 (*.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 y -3600000000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 31000) (+.f64 (*.f64 x y) z) (if (<=.f64 y 275000000000000020566634225115679199903102737377248850202165565974386704924608534317769218525402622525440572414012646038886194113825354816876969984) (*.f64 x (sin.f64 y)) (if (<=.f64 y 1080000000000000026293126739969741693487598444666030787969634309804481814383846641983054440418732970587312794576992162419189390933212505399503889625351031080079011981675844762703627288576) (*.f64 z (cos.f64 y)) (if (<=.f64 y 135000000000000001591435825002514983018938084690150916638202584099145000154234654509077134694341044436546825735876765939834180065248260392728470160565641795677642627775819303978859248197359281610090613778843698707673445023266897920) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 y -3600000000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 31000) (+.f64 (*.f64 x y) z) (*.f64 x (sin.f64 y))))
(+.f64 (*.f64 x y) z)
(if (<=.f64 x 14999999999999998731570336480851623576902807896092125329814625977036036929177429322142991880882485911955185960363317699696738524850945855062016) z (*.f64 x y))
z
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -130000000000000001518119460512096096997863843112837765595185300552858445173951162995165682953642395922503303739515344707971866158610827519785693657324472464337287155476703626839025034182262784) (*.f64 z (cos.f64 y)) (if (<=.f64 z 8196551321814303/18014398509481984) (+.f64 (*.f64 x (sin.f64 y)) z) (*.f64 z (cos.f64 y))))
(if (or (<=.f64 z -130000000000000001518119460512096096997863843112837765595185300552858445173951162995165682953642395922503303739515344707971866158610827519785693657324472464337287155476703626839025034182262784) (not (<=.f64 z 8196551321814303/18014398509481984))) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z))
(if (<=.f64 y -3600000000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 31000) (+.f64 (*.f64 x y) z) (if (<=.f64 y 275000000000000020566634225115679199903102737377248850202165565974386704924608534317769218525402622525440572414012646038886194113825354816876969984) (*.f64 x (sin.f64 y)) (if (<=.f64 y 1080000000000000026293126739969741693487598444666030787969634309804481814383846641983054440418732970587312794576992162419189390933212505399503889625351031080079011981675844762703627288576) (*.f64 z (cos.f64 y)) (if (<=.f64 y 135000000000000001591435825002514983018938084690150916638202584099145000154234654509077134694341044436546825735876765939834180065248260392728470160565641795677642627775819303978859248197359281610090613778843698707673445023266897920) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 y -3600000000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 31000) (+.f64 z (*.f64 x y)) (if (<=.f64 y 275000000000000020566634225115679199903102737377248850202165565974386704924608534317769218525402622525440572414012646038886194113825354816876969984) (*.f64 x (sin.f64 y)) (if (or (<=.f64 y 1080000000000000026293126739969741693487598444666030787969634309804481814383846641983054440418732970587312794576992162419189390933212505399503889625351031080079011981675844762703627288576) (not (<=.f64 y 135000000000000001591435825002514983018938084690150916638202584099145000154234654509077134694341044436546825735876765939834180065248260392728470160565641795677642627775819303978859248197359281610090613778843698707673445023266897920))) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y -3600000000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 31000) (+.f64 z (*.f64 x y)) (if (or (<=.f64 y 275000000000000020566634225115679199903102737377248850202165565974386704924608534317769218525402622525440572414012646038886194113825354816876969984) (not (or (<=.f64 y 1080000000000000026293126739969741693487598444666030787969634309804481814383846641983054440418732970587312794576992162419189390933212505399503889625351031080079011981675844762703627288576) (not (<=.f64 y 135000000000000001591435825002514983018938084690150916638202584099145000154234654509077134694341044436546825735876765939834180065248260392728470160565641795677642627775819303978859248197359281610090613778843698707673445023266897920))))) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y -3600000000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 31000) (+.f64 z (*.f64 x y)) (if (or (<=.f64 y 275000000000000020566634225115679199903102737377248850202165565974386704924608534317769218525402622525440572414012646038886194113825354816876969984) (and (not (<=.f64 y 1080000000000000026293126739969741693487598444666030787969634309804481814383846641983054440418732970587312794576992162419189390933212505399503889625351031080079011981675844762703627288576)) (<=.f64 y 135000000000000001591435825002514983018938084690150916638202584099145000154234654509077134694341044436546825735876765939834180065248260392728470160565641795677642627775819303978859248197359281610090613778843698707673445023266897920))) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y -3600000000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 31000) (+.f64 (*.f64 x y) z) (*.f64 x (sin.f64 y))))
(if (or (<=.f64 y -3600000000) (not (<=.f64 y 31000))) (*.f64 x (sin.f64 y)) (+.f64 z (*.f64 x y)))
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x 14999999999999998731570336480851623576902807896092125329814625977036036929177429322142991880882485911955185960363317699696738524850945855062016) z (*.f64 x y))
z
Compiler

Compiled 119 to 77 computations (35.3% saved)

soundness264.0ms (3.5%)

Rules
988×unswap-sqr
880×log-prod
825×log1p-expm1-u
825×expm1-log1p-u
746×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01569
117669
2224069
03155237
17445135
224815135
Stop Event
node limit
node limit
Compiler

Compiled 59 to 21 computations (64.4% saved)

end0.0ms (0%)

preprocess69.0ms (0.9%)

Compiler

Compiled 226 to 104 computations (54% saved)

Profiling

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