Details

Time bar (total: 9.9s)

analyze283.0ms (2.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
37.5%37.4%62.4%0.1%0%0%0%8
37.5%37.4%62.4%0.1%0%0%0%9
56.3%56.2%43.7%0.1%0%0%0%10
65.6%65.5%34.3%0.1%0%0%0%11
65.6%65.5%34.3%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (29%)

Results
1.3s2061×body1024valid
1.2s5161×body256valid
391.0ms1029×body512valid
4.0msbody2048valid
Bogosity

preprocess53.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
156108
299108
3166108
4255108
5452108
6821108
71422108
82069108
92618108
102644108
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify63.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12027
23327
35127
47727
513127
622727
735527
856527
973727
1078227
1178827
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.23%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.23%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.01%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.21%
(*.f64 x (cos.f64 y))
0.23%
(*.f64 z (sin.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series9.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

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

rewrite112.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
123354
2307954
Stop Event
node limit
Counts
4 → 241
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(cos.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 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simplify166.0ms (1.7%)

Algorithm
egg-herbie
Rules
1884×associate-+l+
1132×fma-def
1056×+-commutative
756×associate-*r*
710×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059312049
1168211545
2758011545
Stop Event
node limit
Counts
309 → 334
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
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(*.f64 (cos.f64 y) x)
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(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (*.f64 (*.f64 z (sin.f64 y)) 0)))) (-.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 3))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (*.f64 (*.f64 z (sin.f64 y)) 0))) 1) (-.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 3)) 1) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(cos.f64 y)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cos.f64 y)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y)))))
(cos.f64 y)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(fabs.f64 (cos.f64 y))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)

eval104.0ms (1%)

Compiler

Compiled 9361 to 2614 computations (72.1% saved)

prune76.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New31618334
Fresh000
Picked011
Done000
Total31619335
Error
0.02%
Counts
335 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.23%
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
46.9%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
2.1%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
63.09%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
70.11%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
0.39%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
53.05%
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z))
29.05%
(-.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (*.f64 z (sin.f64 y)))
0.31%
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
0.26%
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
47.93%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.23%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
38.89%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
0.35%
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y)))
41.64%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
23.84%
(-.f64 x (*.f64 z (sin.f64 y)))
52.14%
(-.f64 x (*.f64 y z))
0.37%
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
57.79%
(*.f64 z (neg.f64 (sin.f64 y)))
Compiler

Compiled 654 to 404 computations (38.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.12%
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
0.23%
(*.f64 z (neg.f64 (sin.f64 y)))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite72.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
986×*-commutative
844×sqrt-prod
734×unswap-sqr
570×swap-sqr
408×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
123834
2291534
Stop Event
node limit
Counts
2 → 91
Calls
Call 1
Inputs
(*.f64 z (neg.f64 (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 z) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 z)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 0 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z 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(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))))

simplify79.0ms (0.8%)

Algorithm
egg-herbie
Rules
1460×associate-*r/
1314×associate-*l/
980×associate-+r+
918×associate-/r/
844×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02485133
16314899
231734899
Stop Event
node limit
Counts
151 → 164
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) -1)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(+.f64 (*.f64 z 0) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 z) 0) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 0 z) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 0 (neg.f64 z)) (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 0 (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)) (sin.f64 y))
(/.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z) (pow.f64 (sin.f64 y) 2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 0 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) 0) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/6))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 4)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 z y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y))
(-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
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(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
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(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))
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(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
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(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))

localize6.0ms (0.1%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(fma.f64 -1/2 (*.f64 y y) 1)
4.69%
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z))
6.36%
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)
Compiler

Compiled 40 to 19 computations (52.5% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)
0.0ms
y
@inf
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)
0.0ms
y
@0
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)
0.0ms
z
@0
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z))
0.0ms
x
@-inf
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)

rewrite109.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
890×distribute-rgt-in
834×distribute-lft-in
582×associate-*r/
482×associate-*l/
334×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01369
127069
2340469
Stop Event
node limit
Counts
3 → 254
Calls
Call 1
Inputs
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z))
(fma.f64 -1/2 (*.f64 y y) 1)
Outputs
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simplify175.0ms (1.8%)

Algorithm
egg-herbie
Rules
1306×+-commutative
1106×fma-def
932×associate-+l-
746×associate-+r-
724×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057416782
1153015620
2684715620
Stop Event
node limit
Counts
326 → 351
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
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(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))))
(exp.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))))
(fma.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y (neg.f64 z)))
(fma.f64 1 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) 0))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))
(fma.f64 x (fma.f64 -1/2 (*.f64 y y) 1) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z))) 2)) (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (*.f64 y (neg.f64 z)))
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
(+.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1)
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) 1)
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1)
(*.f64 1 (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1)) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))
(pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
Outputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 x (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 x (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 x (*.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y (neg.f64 z) (*.f64 -1/2 (*.f64 x (*.f64 y y))))
(-.f64 (*.f64 -1/2 (*.f64 x (*.f64 y y))) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 x (*.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y (neg.f64 z) (*.f64 -1/2 (*.f64 x (*.f64 y y))))
(-.f64 (*.f64 -1/2 (*.f64 x (*.f64 y y))) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) 1)
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) 1)
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) 1)
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(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
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(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
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(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
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(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
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(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
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(fma.f64 y (neg.f64 z) (fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
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(-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))
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(*.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) (*.f64 y z)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2)) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)) (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)) 2))) (*.f64 y z))
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 (*.f64 1 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 (*.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) 1) 1) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(*.f64 1 (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 -1/2 (*.f64 y y) 1)
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 -1/2 (*.f64 y y) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2))
(fma.f64 -1/2 (*.f64 y y) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 -1/2 (*.f64 y y) 1)
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(/.f64 (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) -1) (fma.f64 -1/2 (*.f64 y y) -1))
(/.f64 (fma.f64 1/4 (pow.f64 y 4) -1) (fma.f64 -1/2 (*.f64 y y) -1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 1 (*.f64 -1/2 (*.f64 y y)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y y) 3) 1) (+.f64 (fma.f64 1/4 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) 1/2)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1)) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(/.f64 (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) -1) (fma.f64 -1/2 (*.f64 y y) -1))
(/.f64 (fma.f64 1/4 (pow.f64 y 4) -1) (fma.f64 -1/2 (*.f64 y y) -1))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 1 (*.f64 -1/2 (*.f64 y y)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y y) 3) 1) (+.f64 (fma.f64 1/4 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) 1/2)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(/.f64 (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) -1) (fma.f64 -1/2 (*.f64 y y) -1))
(/.f64 (fma.f64 1/4 (pow.f64 y 4) -1) (fma.f64 -1/2 (*.f64 y y) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (*.f64 (*.f64 -1/2 (*.f64 y y)) 1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 y y)) 3)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 1 (*.f64 -1/2 (*.f64 y y)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y y) 3) 1) (+.f64 (fma.f64 1/4 (pow.f64 y 4) 1) (*.f64 (*.f64 y y) 1/2)))
(pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2)
(fma.f64 -1/2 (*.f64 y y) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3)
(fma.f64 -1/2 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3)
(fma.f64 -1/2 (*.f64 y y) 1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2))
(fabs.f64 (fma.f64 -1/2 (*.f64 y y) 1))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 -1/2 (*.f64 y y) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))
(fma.f64 -1/2 (*.f64 y y) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3))
(fma.f64 -1/2 (*.f64 y y) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 -1/2 (*.f64 y y) 1)
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 -1/2 (*.f64 y y) 1)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 1))
(fma.f64 -1/2 (*.f64 y y) 1)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 -1/2 (*.f64 y y) 1)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.21%
(*.f64 x (cos.f64 y))
0.22%
(pow.f64 (*.f64 x (cos.f64 y)) 3)
0.23%
(*.f64 z (sin.f64 y))
61.07%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
Compiler

Compiled 44 to 17 computations (61.4% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite59.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify77.0ms (0.8%)

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

Useful iterations: 3 (0.0ms)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
0.21%
(*.f64 x (cos.f64 y))
0.23%
(*.f64 z (sin.f64 y))
0.36%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
Compiler

Compiled 50 to 12 computations (76% saved)

series13.0ms (0.1%)

Counts
2 → 40
Calls

18 calls:

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

rewrite167.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
860×swap-sqr
758×distribute-rgt-in
702×distribute-lft-in
598×associate-*r/
508×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01458
129758
2352158
Stop Event
node limit
Counts
2 → 274
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
Outputs
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y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))

simplify168.0ms (1.7%)

Algorithm
egg-herbie
Rules
1096×associate-+l+
924×associate-*r*
846×associate-*l*
820×associate-+r+
754×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076221354
1227220258
Stop Event
node limit
Counts
314 → 429
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x)))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))))
(+.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))))))
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(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 0))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 0))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) 0) (*.f64 x x) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) (*.f64 x x) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))))
(fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) 0) (*.f64 x x) (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) 0) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (*.f64 z z) x) (*.f64 x -1/2)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (*.f64 y y) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (*.f64 x -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (*.f64 z z) x) (*.f64 x -1/2)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (*.f64 y y) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (/.f64 x z)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (/.f64 x z)))) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (*.f64 x -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y y) x)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)) 0) (*.f64 z z) (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 0) (*.f64 (cos.f64 y) x)) (*.f64 z z) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x))))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) 0) (pow.f64 z 3) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)) 0) (*.f64 z z) (*.f64 (cos.f64 y) x))))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) 0) (pow.f64 z 3) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 0) (*.f64 (cos.f64 y) x)) (*.f64 z z) (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 1/2 (*.f64 (/.f64 (cos.f64 y) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (cos.f64 y)) (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 1/2 (*.f64 (/.f64 (cos.f64 y) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (cos.f64 y)) (/.f64 (sqrt.f64 -1) x)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(fma.f64 1/2 (*.f64 (/.f64 (cos.f64 y) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y))))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y))) (cos.f64 y)) (/.f64 (sqrt.f64 -1) x)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5))))) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 z y) -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 x))))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (*.f64 z y) -1/2))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3) 0)
(+.f64 0 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 1)
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2)
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) 2)
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3/2))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))

eval510.0ms (5.1%)

Compiler

Compiled 32840 to 12263 computations (62.7% saved)

prune305.0ms (3.1%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1157201177
Fresh4913
Picked101
Done145
Total1163331196
Error
0.01%
Counts
1196 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
23.4%
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2)))
3.47%
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y)))
0.23%
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
61.99%
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
68.11%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
64.15%
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2)
2.1%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
70.57%
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
72.38%
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
0.39%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
53.28%
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
53.04%
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
53.23%
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
53.05%
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
56.46%
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
86.53%
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z))
29.05%
(-.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (*.f64 z (sin.f64 y)))
0.31%
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
0.26%
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
47.93%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.23%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.35%
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y)))
41.64%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
69.84%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 y z))
23.84%
(-.f64 x (*.f64 z (sin.f64 y)))
52.14%
(-.f64 x (*.f64 y z))
48.06%
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
0.37%
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
47.03%
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
41.3%
(*.f64 (cos.f64 y) x)
57.79%
(*.f64 z (neg.f64 (sin.f64 y)))
85.69%
(*.f64 y (neg.f64 z))
63.61%
x
Compiler

Compiled 1101 to 671 computations (39.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.21%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
0.23%
(*.f64 z (sin.f64 y))
0.26%
(expm1.f64 (log1p.f64 (cos.f64 y)))
0.49%
(log1p.f64 (cos.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series73.0ms (0.7%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
62.0ms
y
@inf
(log1p.f64 (cos.f64 y))
11.0ms
y
@-inf
(log1p.f64 (cos.f64 y))
0.0ms
y
@0
(log1p.f64 (cos.f64 y))
0.0ms
y
@0
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
0.0ms
y
@0
(expm1.f64 (log1p.f64 (cos.f64 y)))

rewrite60.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1448×add-sqr-sqrt
1436×*-un-lft-identity
1324×add-cube-cbrt
1304×add-cbrt-cube
1288×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
117325
2181525
Stop Event
node limit
Counts
3 → 48
Calls
Call 1
Inputs
(log1p.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))

simplify74.0ms (0.7%)

Algorithm
egg-herbie
Rules
960×unswap-sqr
924×fma-def
710×associate-*r/
666×+-commutative
616×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371106
13211094
214341066
352661066
Stop Event
node limit
Counts
96 → 91
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (log1p.f64 (cos.f64 y)) 1)
(*.f64 1 (log1p.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(pow.f64 (log1p.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))
(log.f64 (+.f64 (cos.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1))
(+.f64 (+.f64 (cos.f64 y) 1) -1)
(-.f64 (+.f64 (cos.f64 y) 1) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1))))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(fma.f64 -1/4 (*.f64 y y) (log.f64 2))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (*.f64 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2)))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (fma.f64 -1/1440 (pow.f64 y 6) (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (*.f64 y y) (log.f64 2)) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -1/1440 (pow.f64 y 6))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -1/1440 (pow.f64 y 6) (log.f64 2))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 (fma.f64 (*.f64 y y) -1/2 1) (*.f64 (pow.f64 y 4) 1/24))
(fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 (*.f64 y y) x) x)
(*.f64 (fma.f64 (*.f64 y y) -1/2 1) x)
(fma.f64 (*.f64 y y) (*.f64 -1/2 x) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x))
(+.f64 x (*.f64 x (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24))))
(*.f64 x (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x)))
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (+.f64 x (*.f64 x (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24)))))
(+.f64 x (*.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (*.f64 y -1/2) (*.f64 (pow.f64 y 4) 1/24)))))
(+.f64 x (*.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 y (*.f64 y -1/2))))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)
(log1p.f64 (cos.f64 y))
(*.f64 (log1p.f64 (cos.f64 y)) 1)
(log1p.f64 (cos.f64 y))
(*.f64 1 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))
(log1p.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(pow.f64 (log1p.f64 (cos.f64 y)) 1)
(log1p.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)
(log1p.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)
(log1p.f64 (cos.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)
(log1p.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 (cos.f64 y) 1))
(log1p.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))
(log1p.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))
(log1p.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 y))) 1))
(log1p.f64 (cos.f64 y))
(+.f64 (+.f64 (cos.f64 y) 1) -1)
(cos.f64 y)
(-.f64 (+.f64 (cos.f64 y) 1) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
(cos.f64 y)
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (fma.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 2 (cos.f64 y)))))
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 (cos.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.21%
(*.f64 (cos.f64 y) x)
Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

6 calls:

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

rewrite48.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.21%
(*.f64 x (cos.f64 y))
0.22%
(pow.f64 (*.f64 x (cos.f64 y)) 3)
61.07%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
Compiler

Compiled 40 to 16 computations (60% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.13%
(*.f64 (cos.f64 y) (sqrt.f64 x))
0.23%
(*.f64 z (sin.f64 y))
0.29%
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
Compiler

Compiled 42 to 10 computations (76.2% saved)

series3.0ms (0%)

Counts
2 → 28
Calls

12 calls:

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

rewrite64.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify55.0ms (0.6%)

Algorithm
egg-herbie
Rules
1538×fma-def
1238×distribute-lft-in
1194×distribute-rgt-in
740×*-commutative
602×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095852
1234848
2905812
32847794
Stop Event
node limit
Counts
54 → 58
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(sqrt.f64 x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1)
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))
Outputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 1/24 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2))) x)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 x)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 (sqrt.f64 x) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x))) (sqrt.f64 x))))
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 x)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (sqrt.f64 x)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 (sqrt.f64 x) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y))) (*.f64 (sqrt.f64 x) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) (*.f64 -1/720 (pow.f64 y 6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1)
(*.f64 (cos.f64 y) (sqrt.f64 x))
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 1)
(*.f64 (cos.f64 y) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 2)
(*.f64 (cos.f64 y) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3)
(*.f64 (cos.f64 y) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)
(*.f64 (cos.f64 y) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))
(fabs.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 1))
(*.f64 (cos.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))
(*.f64 (cos.f64 y) (sqrt.f64 x))

eval131.0ms (1.3%)

Compiler

Compiled 7717 to 3366 computations (56.4% saved)

prune198.0ms (2%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New44610456
Fresh71724
Picked101
Done358
Total45732489
Error
0.01%
Counts
489 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
23.4%
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2)))
3.47%
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y)))
0.23%
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
61.99%
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
64.15%
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2)
2.1%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
42.45%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
70.57%
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
72.38%
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
0.39%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
53.28%
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
53.04%
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
53.23%
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
73.92%
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
0.4%
(-.f64 (*.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y)))
0.38%
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 z (sin.f64 y)))
47.93%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.23%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.84%
(-.f64 x (*.f64 z (sin.f64 y)))
52.14%
(-.f64 x (*.f64 y z))
48.06%
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
0.37%
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
56.37%
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) x)
65.25%
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
41.38%
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x)
41.33%
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x)
41.3%
(*.f64 (cos.f64 y) x)
41.42%
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x)
57.79%
(*.f64 z (neg.f64 (sin.f64 y)))
85.69%
(*.f64 y (neg.f64 z))
77.26%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
63.61%
x
Compiler

Compiled 1000 to 632 computations (36.8% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.21%
(*.f64 x (cos.f64 y))
0.23%
(*.f64 z (sin.f64 y))
84.66%
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 86 to 12 computations (86% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1710×add-sqr-sqrt
1698×*-un-lft-identity
1564×add-cube-cbrt
1542×add-cbrt-cube
202×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
119817
2242617
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))))))

simplify28.0ms (0.3%)

Algorithm
egg-herbie
Rules
156×associate-*r*
138×associate-*l*
108×fma-def
76×*-commutative
60×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090886
1255886
21270886
Stop Event
unsound
Counts
46 → 34
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(*.f64 1 (*.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
Outputs
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 y (*.f64 0 z))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (*.f64 y (*.f64 0 z)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 y (*.f64 0 z))))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 7) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 y (*.f64 0 z)))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z)))) 1)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (+.f64 z z))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 1 (*.f64 (sin.f64 y) (+.f64 z z)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(*.f64 (*.f64 0 (sin.f64 y)) z)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
6.36%
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
Compiler

Compiled 31 to 17 computations (45.2% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite68.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1956×add-sqr-sqrt
1932×*-un-lft-identity
1804×add-cube-cbrt
1786×add-cbrt-cube
194×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
120436
2249636
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 -1/2 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) x) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) x) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (+.f64 1 (*.f64 1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 y 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 -1/2)) (*.f64 y (sqrt.f64 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) y 1)))))

simplify75.0ms (0.8%)

Algorithm
egg-herbie
Rules
832×associate-/l*
648×times-frac
600×unswap-sqr
562×distribute-lft-in
540×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01372240
13112080
210612048
340452048
Stop Event
node limit
Counts
92 → 84
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 x (*.f64 x (*.f64 -1/2 (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 -1/2 (*.f64 y y)) x))
(+.f64 (*.f64 x (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (+.f64 1 (*.f64 1/2 (*.f64 y y))))
(/.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) x) (+.f64 1 (*.f64 1/2 (*.f64 y y))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) x) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))
(pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y)))))
(*.f64 1 (fma.f64 -1/2 (*.f64 y y) 1))
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(*.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 y y)))))
(*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y))) (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4)) (+.f64 1 (*.f64 1/2 (*.f64 y y))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y)))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8)) (+.f64 (*.f64 (pow.f64 y 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 y 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 y y)))))
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/8))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 y 4) 1/4) (*.f64 1/2 (*.f64 y y))))))
(pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y y) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 1 (*.f64 -1/2 (*.f64 y y)) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 (*.f64 y (sqrt.f64 -1/2)) (*.f64 y (sqrt.f64 -1/2)) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 1)
(fma.f64 (*.f64 -1/2 y) y 1)
Outputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 x (*.f64 (*.f64 -1/2 y) y))
(*.f64 x (*.f64 -1/2 (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 x (*.f64 (*.f64 -1/2 y) y))
(*.f64 x (*.f64 -1/2 (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(fma.f64 (*.f64 y y) (*.f64 x -1/2) x)
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(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1))))
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y y) 1) 3))
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))))
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y y))) 1))
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(fma.f64 1 (*.f64 -1/2 (*.f64 y y)) 1)
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(fma.f64 (*.f64 y (sqrt.f64 -1/2)) (*.f64 y (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 y y))) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 4) 1/4)) (cbrt.f64 (*.f64 (*.f64 -1/2 y) y)) 1)
(fma.f64 (*.f64 -1/2 y) y 1)
(fma.f64 -1/2 (*.f64 y y) 1)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.21%
(*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1))
0.23%
(*.f64 z (sin.f64 y))
0.58%
(-.f64 (+.f64 (cos.f64 y) 1) 1)
0.63%
(+.f64 (cos.f64 y) 1)
Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
2028×add-sqr-sqrt
2012×*-un-lft-identity
1876×add-cube-cbrt
214×pow1
202×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01039
121227
2282027
Stop Event
node limit
Counts
3 → 101
Calls
Call 1
Inputs
(+.f64 (cos.f64 y) 1)
(-.f64 (+.f64 (cos.f64 y) 1) 1)
(*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (/.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1)) (neg.f64 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 (cos.f64 y) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 0) (-.f64 (cos.f64 y) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 0) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 0 (*.f64 (cos.f64 y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (cos.f64 y) 1)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 y) 1) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) x) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))

simplify91.0ms (0.9%)

Algorithm
egg-herbie
Rules
1674×associate-/l*
1178×associate-/r*
902×associate-*r/
764×*-commutative
522×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02322515
15212455
225532327
Stop Event
node limit
Counts
149 → 149
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(*.f64 1 (+.f64 (cos.f64 y) 1))
(*.f64 (+.f64 (cos.f64 y) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 1))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) -1)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (cos.f64 y) -1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1)) (neg.f64 (+.f64 (cos.f64 y) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))
(pow.f64 (+.f64 (cos.f64 y) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3))
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(exp.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 1)))
(fma.f64 1 (cos.f64 y) 1)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)
(+.f64 (cos.f64 y) 0)
(+.f64 1 (+.f64 (cos.f64 y) -1))
(+.f64 (+.f64 (cos.f64 y) 1) -1)
(+.f64 0 (cos.f64 y))
(+.f64 -1 (+.f64 (cos.f64 y) 1))
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) 1))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) 1))
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 (cos.f64 y) 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) -1))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 0) (-.f64 (cos.f64 y) 0))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 0) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 0 (*.f64 (cos.f64 y) 0))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(fma.f64 1 (cos.f64 y) 0)
(fma.f64 1 (+.f64 (cos.f64 y) 1) -1)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 0)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)) -1)
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x 0))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 0 x))
(+.f64 (*.f64 x (+.f64 (cos.f64 y) 1)) (*.f64 x -1))
(+.f64 (*.f64 (+.f64 (cos.f64 y) 1) x) (*.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(/.f64 (*.f64 x (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) x) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 2))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
(+.f64 1 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1)
(+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 (*.f64 y y) x) x)
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x))
(+.f64 x (*.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 x (*.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (fma.f64 1/24 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 (*.f64 y y) x) x)))
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) x) (+.f64 x (*.f64 x (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(+.f64 1 (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(*.f64 1 (+.f64 (cos.f64 y) 1))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 (cos.f64 y) 1) 1)
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)))
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))
(+.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 1))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) -1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 (cos.f64 y) -1))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) 1) (+.f64 (cos.f64 y) -1))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 y) 2)) (-.f64 1 (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1)) (neg.f64 (+.f64 (cos.f64 y) -1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (/.f64 -1 (+.f64 (cos.f64 y) -1)))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(pow.f64 (+.f64 (cos.f64 y) 1) 1)
(+.f64 1 (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 2)
(+.f64 1 (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 3)
(+.f64 1 (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1/3)
(+.f64 1 (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(fabs.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) 1)))
(+.f64 1 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) 1))))
(+.f64 1 (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3))
(+.f64 1 (cos.f64 y))
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 y))))
(exp.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1))
(exp.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) 1)))
(+.f64 1 (cos.f64 y))
(fma.f64 1 (cos.f64 y) 1)
(+.f64 1 (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(+.f64 (cos.f64 y) 0)
(cos.f64 y)
(+.f64 1 (+.f64 (cos.f64 y) -1))
(cos.f64 y)
(+.f64 (+.f64 (cos.f64 y) 1) -1)
(cos.f64 y)
(+.f64 0 (cos.f64 y))
(cos.f64 y)
(+.f64 -1 (+.f64 (cos.f64 y) 1))
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) 1))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) 1))
(cos.f64 y)
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(cos.f64 y)
(*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) 1))
(cos.f64 y)
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))
(cos.f64 y)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))
(cos.f64 y)
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 (cos.f64 y) 1) -1))
(cos.f64 y)
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 0) (-.f64 (cos.f64 y) 0))
(/.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) 0) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 0 (*.f64 (cos.f64 y) 0))))
(/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 2))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(cos.f64 y)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(fabs.f64 (cos.f64 y))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(fma.f64 1 (cos.f64 y) 0)
(cos.f64 y)
(fma.f64 1 (+.f64 (cos.f64 y) 1) -1)
(cos.f64 y)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 0)
(cos.f64 y)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (cos.f64 y) 1)) -1)
(cos.f64 y)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 0)
(cos.f64 y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) 1)) -1)
(cos.f64 y)
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x 0))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 0 x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 x (+.f64 (cos.f64 y) 1)) (*.f64 x -1))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 (+.f64 (cos.f64 y) 1) x) (*.f64 -1 x))
(*.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(/.f64 (*.f64 x (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) x)
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 x (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) x)
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2))
(*.f64 (cos.f64 y) x)
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) -1) x) (+.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 x (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) x)
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 2 (+.f64 (cos.f64 y) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(fabs.f64 (*.f64 (cos.f64 y) x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(*.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.21%
(*.f64 (cos.f64 y) x)
0.92%
(cbrt.f64 (*.f64 (cos.f64 y) x))
1.21%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
Compiler

Compiled 24 to 9 computations (62.5% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite62.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120326
2213826
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))))

simplify79.0ms (0.8%)

Algorithm
egg-herbie
Rules
1256×fma-def
868×*-commutative
740×distribute-lft-in
704×distribute-rgt-in
526×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01991809
15541765
219151665
357221613
Stop Event
node limit
Counts
81 → 94
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 1 (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(fma.f64 (*.f64 x -1/2) (*.f64 y y) x)
(fma.f64 x (*.f64 (*.f64 y y) -1/2) x)
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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/3))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.33%
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
0.41%
(-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1)
0.41%
(*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1))
0.63%
(+.f64 (cos.f64 y) 1)
Compiler

Compiled 108 to 64 computations (40.7% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
0.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
0.0ms
y
@inf
(*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1))
0.0ms
y
@-inf
(*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1))
0.0ms
y
@0
(*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1))

rewrite99.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1634×associate-/r/
1390×associate-/l/
1134×*-commutative
268×add-sqr-sqrt
264×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01179
125641
2384941
Stop Event
node limit
Counts
3 → 239
Calls
Call 1
Inputs
(*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1))
(-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1)
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) 1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (cos.f64 y)) (-.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 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y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1))) (/.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 y)) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y) (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))) 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2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 2 (cos.f64 y)))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)))))

simplify117.0ms (1.2%)

Algorithm
egg-herbie
Rules
1376×associate-*r*
1352×associate-/l*
1248×associate-*l*
800×associate-/r*
710×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056913817
1183813549
Stop Event
node limit
Counts
275 → 405
Calls
Call 1
Inputs
4
(+.f64 4 (*.f64 -2 (pow.f64 y 2)))
(+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
3
(+.f64 3 (*.f64 -2 (pow.f64 y 2)))
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))
(+.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0)
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1)
(+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))
(+.f64 0 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(+.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) -1)
(+.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (cos.f64 y))
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))
(+.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) 1) (+.f64 (cos.f64 y) -1))
(+.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))))
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0)
(-.f64 (+.f64 2 (cos.f64 y)) (-.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (-.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) (-.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))) 1))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) -1)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (/.f64 1 (+.f64 2 (cos.f64 y))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))))
(-.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) -1))) (/.f64 1 (+.f64 (cos.f64 y) -1)))
(/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) (fma.f64 (cos.f64 y) (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (*.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 1 (pow.f64 (cos.f64 y) 3))) (*.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) 3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(fma.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y) (+.f64 1 (cos.f64 y)))
(fma.f64 (cos.f64 y) (+.f64 1 (cos.f64 y)) (+.f64 1 (cos.f64 y)))
(+.f64 (+.f64 1 (cos.f64 y)) (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) -1))
(+.f64 (+.f64 1 (cos.f64 y)) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1))
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 0)
(+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (cos.f64 y)))
(+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (cos.f64 y))
(+.f64 (cos.f64 y) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (+.f64 (cos.f64 y) -1))
(+.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))))
(+.f64 (+.f64 -1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 1)
(+.f64 (+.f64 -1 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 1 (cos.f64 y)))
(+.f64 (+.f64 -1 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2))) (cos.f64 y))
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1)
(*.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (+.f64 2 (cos.f64 y)) (cos.f64 y)))
(*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y)) (sqrt.f64 (+.f64 2 (cos.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) (cos.f64 y)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2))
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(*.f64 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (cos.f64 y) (cbrt.f64 (+.f64 2 (cos.f64 y)))))
(*.f64 (/.f64 (cos.f64 y) (cbrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 1))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (cbrt.f64 (+.f64 2 (cos.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (cbrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (+.f64 2 (cos.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (sqrt.f64 (+.f64 2 (cos.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (sqrt.f64 (+.f64 2 (cos.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (/.f64 (cos.f64 y) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2)) (/.f64 (cos.f64 y) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1)) (*.f64 (cos.f64 y) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (*.f64 (cos.f64 y) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) (-.f64 0 (cos.f64 y)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) (neg.f64 (cos.f64 y)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 (pow.f64 (cos.f64 y) 2) 4)) (+.f64 (cos.f64 y) -2))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 3) 8)) (-.f64 (+.f64 (pow.f64 (cos.f64 y) 2) 4) (*.f64 2 (cos.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2) (+.f64 2 (cos.f64 y))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 2 (cos.f64 y)))) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 4))) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 2 (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (-.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 2)) (pow.f64 (cos.f64 y) 2))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 2 (cos.f64 y)))) (cos.f64 y))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (cos.f64 y) 1)
(pow.f64 (/.f64 1 (cos.f64 y)) -1)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)
Outputs
4
(+.f64 4 (*.f64 -2 (pow.f64 y 2)))
(+.f64 4 (*.f64 -2 (*.f64 y y)))
(+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 4 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 4 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 4 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4)))))
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
3
(+.f64 3 (*.f64 -2 (pow.f64 y 2)))
(+.f64 (*.f64 -2 (*.f64 y y)) 3)
(+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4))))
(+.f64 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4))) 3)
(+.f64 (*.f64 -17/360 (pow.f64 y 6)) (+.f64 3 (+.f64 (*.f64 -2 (pow.f64 y 2)) (*.f64 5/12 (pow.f64 y 4)))))
(fma.f64 -17/360 (pow.f64 y 6) (+.f64 (fma.f64 -2 (*.f64 y y) (*.f64 5/12 (pow.f64 y 4))) 3))
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
(-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1)
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) -1/2))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 1) (+.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y)))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))
(+.f64 1 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))))
(+.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))
(+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) 0)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(+.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 1)
(+.f64 1 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))))
(+.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (+.f64 1 (cos.f64 y))))
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))
(+.f64 0 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(+.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 1 (cos.f64 y)))
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))
(+.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) -1)
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(+.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(pow.f64 (+.f64 1 (cos.f64 y)) 2)
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (cos.f64 y))
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (cos.f64 y)) (pow.f64 (cos.f64 y) 2))
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))
(+.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) 1) (+.f64 (cos.f64 y) -1))
(+.f64 1 (*.f64 (cos.f64 y) (+.f64 2 (cos.f64 y))))
(+.f64 (+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)))) (neg.f64 (/.f64 1 (+.f64 2 (cos.f64 y)))))
(+.f64 (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) -1) (+.f64 2 (cos.f64 y))))
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(*.f64 (cos.f64 y) (*.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) (-.f64 0 (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
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(*.f64 (/.f64 1 (/.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))) 2))) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2))))
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(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) -1) (/.f64 1 (+.f64 2 (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 6))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 6)) (/.f64 1 (+.f64 2 (cos.f64 y))))))
(/.f64 (*.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 4)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) (*.f64 (cos.f64 y) (-.f64 -2 (cos.f64 y)))))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 6)))
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(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 8) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (pow.f64 (+.f64 1 (cos.f64 y)) 4))))) (/.f64 (/.f64 1 (+.f64 2 (cos.f64 y))) (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 4) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 2)) 3)) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 6)))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) (sqrt.f64 (+.f64 2 (cos.f64 y))))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (sqrt.f64 (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (/.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 2 (cos.f64 y))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 2)) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) 2)))
(/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y))))) (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) 2))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 2 (cos.f64 y)))) (cos.f64 y))
(*.f64 (cos.f64 y) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (*.f64 (+.f64 2 (cos.f64 y)) (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (*.f64 (+.f64 2 (cos.f64 y)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (+.f64 2 (cos.f64 y))) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 (cos.f64 y) (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y))))
(*.f64 (cos.f64 y) (*.f64 (-.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y)) (neg.f64 (+.f64 2 (cos.f64 y)))) (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))))
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (/.f64 1 (cos.f64 y)) -1)
(/.f64 1 (/.f64 1 (cos.f64 y)))
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(neg.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) (-.f64 -2 (cos.f64 y))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y))))) (-.f64 -2 (cos.f64 y)))
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 (cos.f64 y)) 2)) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 y)))) 3) (pow.f64 (+.f64 2 (cos.f64 y)) 3)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)

eval515.0ms (5.2%)

Compiler

Compiled 44734 to 18788 computations (58% saved)

prune475.0ms (4.8%)

Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New1380111391
Fresh61622
Picked101
Done279
Total1389341423
Error
0.01%
Counts
1423 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
23.4%
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2)))
3.47%
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y)))
0.23%
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
70.94%
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2) 3)
61.99%
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
64.15%
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2)
2.1%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
42.45%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
0.39%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
53.28%
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
0.39%
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y)))
53.23%
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
0.3%
(-.f64 (*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
39%
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z))
0.44%
(-.f64 (*.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (*.f64 z (sin.f64 y)))
47.93%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.23%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.84%
(-.f64 x (*.f64 z (sin.f64 y)))
52.14%
(-.f64 x (*.f64 y z))
47.96%
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
30.4%
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
65.24%
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
57.91%
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
65.25%
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
97.75%
(*.f64 (*.f64 (*.f64 -1/2 y) y) x)
73.79%
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
41.38%
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x)
41.33%
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x)
41.3%
(*.f64 (cos.f64 y) x)
41.42%
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x)
57.79%
(*.f64 z (neg.f64 (sin.f64 y)))
85.69%
(*.f64 y (neg.f64 z))
77.26%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
63.61%
x
Compiler

Compiled 511 to 336 computations (34.2% saved)

regimes200.0ms (2%)

Counts
60 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 (*.f64 -1/2 y) y) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x)
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 y z))
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 2) 3)
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) x) (+.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3/2)) 2)
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 2)) (sin.f64 y)))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (neg.f64 z) (pow.f64 (sin.f64 y) 3)) (pow.f64 (sin.f64 y) 2)))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
Calls

4 calls:

65.0ms
x
32.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
26.0ms
y
25.0ms
z
Results
ErrorSegmentsBranch
0.23%1x
0.23%1y
0.23%1z
0.23%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 913 to 314 computations (65.6% saved)

regimes258.0ms (2.6%)

Counts
31 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 (*.f64 -1/2 y) y) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (+.f64 (+.f64 (cos.f64 y) -1) 1)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (/.f64 1 (/.f64 1 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) x)
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) x)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 1/3) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

177.0ms
z
44.0ms
y
15.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
x
Results
ErrorSegmentsBranch
0.23%1x
0.23%1y
0.23%1z
0.23%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 326 to 154 computations (52.8% saved)

regimes135.0ms (1.4%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 (*.f64 -1/2 y) y) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(-.f64 (*.f64 x (-.f64 (+.f64 (cos.f64 y) 1) 1)) (*.f64 y z))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x) (*.f64 y z))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

70.0ms
y
35.0ms
x
25.0ms
z
Results
ErrorSegmentsBranch
13.66%3x
21.74%3y
11.08%3z
Compiler

Compiled 188 to 93 computations (50.5% saved)

bsearch106.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
76.0ms
3.699246855320745e-95
6.1505332496311265e-89
30.0ms
-6.170590992790267e-13
-2.6103696685870096e-15
Results
68.0ms71×body1024valid
23.0ms144×body256valid
12.0ms41×body512valid
Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes158.0ms (1.6%)

Counts
13 → 7
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 (*.f64 -1/2 y) y) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
Outputs
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 x (*.f64 y z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

86.0ms
y
47.0ms
x
22.0ms
z
Results
ErrorSegmentsBranch
21.16%7x
21.23%6y
24.71%3z
Compiler

Compiled 150 to 78 computations (48% saved)

bsearch318.0ms (3.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
78.0ms
1.3687872299743524e+21
1.5736520568552694e+31
41.0ms
2.4728377342663248e-17
2.2818536222226936e-10
22.0ms
7.317616120140529e-140
2.2082268991431322e-139
78.0ms
-1.1514264526967777e-112
-7.533301677007812e-115
29.0ms
-2.0614202664179448e-47
-8.669813627074043e-49
69.0ms
-1.5778144143075777e-6
-1.5739015758431415e-15
Results
161.0ms462×body256valid
118.0ms187×body1024valid
29.0ms103×body512valid
Compiler

Compiled 831 to 624 computations (24.9% saved)

regimes87.0ms (0.9%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 (*.f64 -1/2 y) y) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

43.0ms
y
21.0ms
x
20.0ms
z
Results
ErrorSegmentsBranch
35.36%3x
28.96%3y
34.82%3z
Compiler

Compiled 145 to 75 computations (48.3% saved)

bsearch95.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
53.0ms
3.138837738845631e-16
8.49417377041186e-14
42.0ms
-0.00028075736971147977
-2.4026467032404822e-5
Results
92.0ms224×body256valid
Compiler

Compiled 256 to 181 computations (29.3% saved)

regimes24.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 (*.f64 -1/2 y) y) x)
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x)
(-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) (*.f64 y z))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) 1) x) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) x) x) (*.f64 y z))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) x) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/2 (*.f64 y y))) 1) x) (-.f64 (*.f64 -1/2 (*.f64 y y)) 1)) (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))
Calls

3 calls:

7.0ms
z
7.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
52.14%1x
52.14%1y
52.14%1z
Compiler

Compiled 141 to 73 computations (48.2% saved)

regimes32.0ms (0.3%)

Accuracy

Total -24.3b remaining (-63.8%)

Threshold costs -24.3b (-63.8%)

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

3 calls:

14.0ms
y
8.0ms
z
8.0ms
x
Results
ErrorSegmentsBranch
59.5%3x
59.9%5y
61.42%2z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch125.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
88.0ms
3.029602512917585e-301
4.096986906424994e-287
37.0ms
-7.533301677007812e-115
-4.500889822750068e-118
Results
71.0ms66×body1024valid
34.0ms176×body256valid
13.0ms46×body512valid
Compiler

Compiled 252 to 193 computations (23.4% saved)

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
24×*-commutative
22×+-commutative
12×sub-neg
10×neg-mul-1
10×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060346
193346
2111346
3119346
4122346
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -4436777100798803/1267650600228229401496703205376) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 x -1077503010193995/316912650057057350374175801344) (*.f64 (cos.f64 y) x) (if (<=.f64 x -6252917317820583/1645504557321206042154969182557350504982735865633579863348609024) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x -4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 (cos.f64 y) x) (if (<=.f64 x 4290498537581631/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x 8897694032363671/77371252455336267181195264) (-.f64 x (*.f64 y z)) (if (<=.f64 x 1400000000000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 y -2582544170319337/9223372036854775808) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1663791412799551/19807040628566084398385987584) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -3460291778262777/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) x (if (<=.f64 x 4028872363020365/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (*.f64 y (neg.f64 z)) x))
x
Outputs
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -4436777100798803/1267650600228229401496703205376) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -4436777100798803/1267650600228229401496703205376) (not (<=.f64 z 4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936))) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(if (<=.f64 x -1077503010193995/316912650057057350374175801344) (*.f64 (cos.f64 y) x) (if (<=.f64 x -6252917317820583/1645504557321206042154969182557350504982735865633579863348609024) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x -4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 (cos.f64 y) x) (if (<=.f64 x 4290498537581631/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 x 8897694032363671/77371252455336267181195264) (-.f64 x (*.f64 y z)) (if (<=.f64 x 1400000000000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x)))))))
(if (<=.f64 y -2582544170319337/9223372036854775808) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1663791412799551/19807040628566084398385987584) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -2582544170319337/9223372036854775808) (not (<=.f64 y 1663791412799551/19807040628566084398385987584))) (*.f64 (cos.f64 y) x) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -3460291778262777/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) x (if (<=.f64 x 4028872363020365/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (*.f64 y (neg.f64 z)) x))
x
Compiler

Compiled 155 to 92 computations (40.6% saved)

soundness0.0ms (0%)

end95.0ms (1%)

Compiler

Compiled 134 to 54 computations (59.7% saved)

Profiling

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