Details

Time bar (total: 11.9s)

analyze332.0ms (2.8%)

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

Compiled 13 to 9 computations (30.8% saved)

sample3.2s (26.4%)

Results
1.4s2076×body1024valid
1.2s5140×body256valid
502.0ms1037×body512valid
2.0msbody2048valid
Bogosity

preprocess66.0ms (0.6%)

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)

simplify43.0ms (0.4%)

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
0.25%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.25%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.02%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (cos.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

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

rewrite151.0ms (1.3%)

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 x (cos.f64 y))
(*.f64 z (sin.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 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 (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 (*.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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0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (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 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (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 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z 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simplify200.0ms (1.7%)

Algorithm
egg-herbie
Rules
1890×associate-+l+
1124×fma-def
1058×+-commutative
756×associate-*r*
712×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059312049
1168211545
2758311545
Stop Event
node limit
Counts
309 → 333
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
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(/.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 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 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 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 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 (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)
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(/.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 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (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 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (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)

eval102.0ms (0.9%)

Compiler

Compiled 9342 to 2596 computations (72.2% saved)

prune122.0ms (1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New31320333
Fresh000
Picked011
Done000
Total31321334
Error
0.02%
Counts
334 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
51.58%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
2.15%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
41.95%
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
0.45%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
53.73%
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
0.31%
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
0.44%
(-.f64 (*.f64 x (log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
0.41%
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
0.28%
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
47.52%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.25%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
35.29%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
0.33%
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y)))
26.56%
(-.f64 x (*.f64 z (sin.f64 y)))
51.89%
(-.f64 x (*.f64 y z))
0.38%
(+.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)))))
0.24%
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
52.17%
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
2.18%
(*.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)))))
59.49%
(*.f64 z (neg.f64 (sin.f64 y)))
59%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
Compiler

Compiled 700 to 418 computations (40.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2%
(*.f64 z (neg.f64 (sin.f64 y)))
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (cos.f64 y))
84.49%
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 71 to 13 computations (81.7% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 z (neg.f64 (sin.f64 y)))
1.0ms
z
@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)))
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)))

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1778×add-sqr-sqrt
1766×*-un-lft-identity
1628×add-cube-cbrt
1606×add-cbrt-cube
242×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
124028
2304828
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (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)) 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 /.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 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))))))))
((#(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 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 log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify68.0ms (0.6%)

Algorithm
egg-herbie
Rules
222×associate-*r*
176×associate-*l*
172×fma-def
114×*-commutative
84×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281653
13441653
218341653
Stop Event
unsound
Counts
85 → 57
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 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.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)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(/.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))))
(pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 z z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 z z))))
(-.f64 0 (*.f64 z (sin.f64 y)))
(-.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))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
Outputs
(*.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 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 y z))
(*.f64 y (*.f64 0 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(*.f64 -1 (*.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)) 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)
(/.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)
(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)
(-.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 (*.f64 0 (sin.f64 y)) z)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 (*.f64 0 (sin.f64 y)) z)
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 0 (sin.f64 y)) z)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.02%
(-.f64 x (*.f64 y z))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite65.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify65.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.15%
(*.f64 y (*.f64 y x))
2.98%
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
Compiler

Compiled 38 to 12 computations (68.4% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite114.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
125446
2328446
Stop Event
node limit
Counts
2 → 163
Calls
Call 1
Inputs
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(*.f64 y (*.f64 y x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))))))

simplify214.0ms (1.8%)

Algorithm
egg-herbie
Rules
1288×+-commutative
912×fma-def
842×associate-+l-
816×associate--r+
684×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041914485
1118613463
2622713463
Stop Event
node limit
Counts
223 → 261
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 z (neg.f64 y))))
(+.f64 x (-.f64 (*.f64 -1/2 (*.f64 y (*.f64 y x))) (*.f64 y z)))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 z (neg.f64 y)))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (*.f64 1 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (*.f64 1 (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (*.f64 1 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
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(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (*.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) 1))
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(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) 1))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) 1))
(+.f64 (*.f64 z (neg.f64 y)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (fma.f64 (neg.f64 y) z (*.f64 y z))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) 1) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) 1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 z (neg.f64 y)) (-.f64 (*.f64 z (neg.f64 y)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2)) (pow.f64 (*.f64 y z) 2)) 1) (neg.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3))) (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2))) (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 2)) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3)) (*.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 3))) (/.f64 1 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))) (+.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) 3) (pow.f64 (pow.f64 (*.f64 y z) 2) 3)) (/.f64 1 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 2) (+.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) 3) (pow.f64 (pow.f64 (*.f64 y z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) 1) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) 1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))))
(pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (pow.f64 (*.f64 y z) 2)) (neg.f64 (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 z (neg.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (*.f64 z (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (*.f64 z (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) 1)
(pow.f64 (*.f64 y (*.f64 y x)) 1)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(-.f64 (*.f64 (*.f64 -1/2 y) (*.f64 x y)) (*.f64 y z))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)))
(-.f64 (*.f64 (*.f64 -1/2 y) (*.f64 x y)) (*.f64 y z))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x)
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x))
(neg.f64 (*.f64 x (fma.f64 1/2 (*.f64 y y) -1)))
(*.f64 (fma.f64 (*.f64 y y) 1/2 -1) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(*.f64 -1 (+.f64 (*.f64 y z) (*.f64 x (fma.f64 1/2 (*.f64 y y) -1))))
(neg.f64 (fma.f64 y z (*.f64 x (fma.f64 (*.f64 y y) 1/2 -1))))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(*.f64 -1 (+.f64 (*.f64 y z) (*.f64 x (fma.f64 1/2 (*.f64 y y) -1))))
(neg.f64 (fma.f64 y z (*.f64 x (fma.f64 (*.f64 y y) 1/2 -1))))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) x)))
(*.f64 -1 (+.f64 (*.f64 y z) (*.f64 x (fma.f64 1/2 (*.f64 y y) -1))))
(neg.f64 (fma.f64 y z (*.f64 x (fma.f64 (*.f64 y y) 1/2 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(fma.f64 (*.f64 y -1/2) (*.f64 x y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
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(/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 2))) (neg.f64 (+.f64 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))))
(neg.f64 (*.f64 -1 (-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 3) (pow.f64 (*.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) 2) (*.f64 (*.f64 y z) (+.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) 2) (*.f64 (*.f64 y z) (+.f64 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 (*.f64 y z) (fma.f64 y z (fma.f64 (*.f64 y -1/2) (*.f64 x y) x)) (pow.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z))) 2))
(fabs.f64 (-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z)))
(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)))))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z)) 3))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))) 1))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(fma.f64 1 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 z (neg.f64 y)))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (sqrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (*.f64 z (neg.f64 y)))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (*.f64 z (neg.f64 y)))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (-.f64 x (*.f64 y z)))
(-.f64 (fma.f64 (*.f64 y -1/2) (*.f64 x y) x) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) 1)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(pow.f64 (*.f64 y (*.f64 y x)) 1)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y y)) 2))
(fabs.f64 (*.f64 y (*.f64 x y)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y x)))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y x)))))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(exp.f64 (log.f64 (*.f64 y (*.f64 y x))))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
0.34%
(log1p.f64 (expm1.f64 (cos.f64 y)))
0.96%
(expm1.f64 (cos.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite102.0ms (0.9%)

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
117225
2181425
Stop Event
node limit
Counts
3 → 48
Calls
Call 1
Inputs
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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)))))))

simplify65.0ms (0.5%)

Algorithm
egg-herbie
Rules
976×associate-/l*
954×unswap-sqr
912×fma-def
744×associate-/r*
588×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01411164
13391140
215041096
352161092
Stop Event
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) 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 (exp.f64 (cos.f64 y)) -1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(*.f64 1 (expm1.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(-.f64 (+.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
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1)
(+.f64 (*.f64 -1/2 (*.f64 (E.f64) (*.f64 y y))) (expm1.f64 1))
(fma.f64 (*.f64 -1/2 (*.f64 y y)) (E.f64) (expm1.f64 1))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64) -1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4)) (E.f64))) -1)
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/6 (pow.f64 y 4)))) (expm1.f64 1))
(fma.f64 (E.f64) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (pow.f64 y 4))) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4)) (fma.f64 -31/720 (*.f64 (E.f64) (pow.f64 y 6)) (E.f64)))) -1)
(fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (+.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/6 (pow.f64 y 4)) (*.f64 -31/720 (pow.f64 y 6)))) (expm1.f64 1)))
(fma.f64 (E.f64) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (pow.f64 y 4))) (fma.f64 (fma.f64 -31/720 (pow.f64 y 6) 1) (E.f64) -1))
(+.f64 (*.f64 (E.f64) (+.f64 (fma.f64 -1/2 (*.f64 y y) 1) (fma.f64 1/6 (pow.f64 y 4) (*.f64 -31/720 (pow.f64 y 6))))) -1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y))))
(fma.f64 (pow.f64 y 4) 1/24 (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 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y))) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 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 (*.f64 -1/2 (*.f64 y y)) x x)
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) 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 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y)))))
(*.f64 x (fma.f64 (pow.f64 y 4) 1/24 (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 (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 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y))))))
(+.f64 x (*.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y))))))
(*.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 1))))
(*.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 (exp.f64 (cos.f64 y)) -1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 1 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(expm1.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(expm1.f64 (cos.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 y)) 3)) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (exp.f64 (*.f64 2 (cos.f64 y))))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 y) 3)) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (exp.f64 (cos.f64 y))))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 y) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 2) (cos.f64 y)))))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(expm1.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(expm1.f64 (cos.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(expm1.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(expm1.f64 (cos.f64 y))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(expm1.f64 (cos.f64 y))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(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)
(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)
(-.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)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (cos.f64 y))
0.89%
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
1.19%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
Compiler

Compiled 50 to 12 computations (76% saved)

series23.0ms (0.2%)

Counts
2 → 40
Calls

18 calls:

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

rewrite134.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01458
129958
2359358
Stop Event
node limit
Counts
2 → 274
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
Outputs
((#(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 2 (*.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 2 (*.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) 1)))))) (#(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) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 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(cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))

simplify286.0ms (2.4%)

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

Useful iterations: 1 (0.0ms)

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

eval723.0ms (6.1%)

Compiler

Compiled 34684 to 13806 computations (60.2% saved)

prune268.0ms (2.2%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1018131031
Fresh51015
Picked101
Done325
Total1027251052
Error
0.01%
Counts
1052 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
3.25%
(pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))) 3)
51.58%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
27.94%
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
40.13%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
0.45%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
84.8%
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.f64 y z))
0.43%
(-.f64 (*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
35.32%
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 y z))
0.44%
(-.f64 (*.f64 x (log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
0.41%
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
47.52%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.25%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.33%
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y)))
26.56%
(-.f64 x (*.f64 z (sin.f64 y)))
51.89%
(-.f64 x (*.f64 y z))
0.38%
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
52.17%
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
97.76%
(*.f64 (*.f64 x y) (*.f64 y -1/2))
39.08%
(*.f64 (cos.f64 y) x)
59.49%
(*.f64 z (neg.f64 (sin.f64 y)))
83.91%
(*.f64 z (neg.f64 y))
66.91%
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
53.84%
(neg.f64 (fma.f64 y z (*.f64 x (fma.f64 (*.f64 y y) 1/2 -1))))
59%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
64.01%
x
Compiler

Compiled 688 to 450 computations (34.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
0.46%
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
0.6%
(pow.f64 (cos.f64 y) 3)
Compiler

Compiled 43 to 21 computations (51.2% saved)

series2.0ms (0%)

Counts
3 → 40
Calls

12 calls:

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

rewrite66.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1642×add-sqr-sqrt
1612×*-un-lft-identity
1512×add-cube-cbrt
1492×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
120427
2212127
Stop Event
node limit
Counts
3 → 57
Calls
Call 1
Inputs
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))))) (#(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 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 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 (*.f64 3 (log.f64 (cos.f64 y))) 1/3))))) (#(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 (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)))))))

simplify132.0ms (1.1%)

Algorithm
egg-herbie
Rules
1282×unswap-sqr
594×+-commutative
536×cube-prod
526×*-commutative
522×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01471073
13221061
212891035
351541031
Stop Event
node limit
Counts
97 → 98
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -61/240 (pow.f64 y 6)) (+.f64 (*.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
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 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3))) 1)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(-.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 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 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))))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -3/2 (*.f64 y y)))
(fma.f64 -3/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (*.f64 -3/2 (*.f64 y y))))
(+.f64 (fma.f64 -3/2 (*.f64 y y) 1) (*.f64 7/8 (pow.f64 y 4)))
(fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 -61/240 (pow.f64 y 6)) (+.f64 (*.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (*.f64 -3/2 (*.f64 y y)))))
(+.f64 (fma.f64 -61/240 (pow.f64 y 6) (*.f64 7/8 (pow.f64 y 4))) (fma.f64 -3/2 (*.f64 y y) 1))
(fma.f64 -61/240 (pow.f64 y 6) (fma.f64 -3/2 (*.f64 y y) (fma.f64 7/8 (pow.f64 y 4) 1)))
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 1 (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24)))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) 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 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) 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)
(*.f64 (fma.f64 y (*.f64 y -1/2) 1) 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 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) 1)))
(*.f64 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) 1)) 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 (*.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 (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (*.f64 y -1/2) 1))))
(*.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 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3))) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 3)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(pow.f64 (cos.f64 y) 3)
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(pow.f64 (cos.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 3))))
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(pow.f64 (cos.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 y))) 1))
(pow.f64 (cos.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(-.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 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(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)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(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)
(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 (*.f64 3 (log.f64 (cos.f64 y))) 1/3))
(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 (exp.f64 (log1p.f64 (*.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 (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)

localize6.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2%
(*.f64 z (neg.f64 (sin.f64 y)))
Compiler

Compiled 15 to 6 computations (60% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(cos.f64 y)
0.21%
(*.f64 (cos.f64 y) x)
0.83%
(cbrt.f64 (*.f64 (cos.f64 y) x))
1.16%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
Compiler

Compiled 24 to 9 computations (62.5% saved)

series11.0ms (0.1%)

Counts
3 → 28
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
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)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
0.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)

rewrite66.0ms (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
01037
120337
2213837
Stop Event
node limit
Counts
3 → 71
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(cbrt.f64 (*.f64 (cos.f64 y) x))
(*.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))))))))
((#(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 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(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 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 3/2)))) (#(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)))))))

simplify60.0ms (0.5%)

Algorithm
egg-herbie
Rules
1612×fma-def
1336×distribute-lft-in
1334×distribute-rgt-in
628×associate-+r+
532×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02152107
16012059
222901945
Stop Event
node limit
Counts
99 → 104
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)
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 (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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 3/2)
(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
(*.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)
(*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 (*.f64 x -1/2) (*.f64 y y))))
(fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x -1/72))) (*.f64 x (fma.f64 (*.f64 -1/2 y) y 1)))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 -1/9 (*.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (*.f64 x -1/24) -1/9)) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 -1/6 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x))))) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (*.f64 x -1/24) (*.f64 (cbrt.f64 (/.f64 1 x)) -1/9)))))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 (*.f64 x -1/2) (*.f64 y y)))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) 2/3) (*.f64 (*.f64 x -1/24) -1/9)))) (fma.f64 1/3 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) (*.f64 (*.f64 x -1/24) -1/9))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x -1/72))) (*.f64 x (fma.f64 (*.f64 -1/2 y) y 1))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x))) (cbrt.f64 x))
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x))
(+.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 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/24))) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)))) (cbrt.f64 x))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)) (*.f64 1/3 (*.f64 (*.f64 x -1/24) (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 x x)))))))
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/72)) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)))
(+.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))))))
(+.f64 (fma.f64 1/3 (*.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216))) (*.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/24))) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x))))) (cbrt.f64 x))
(+.f64 (*.f64 1/3 (+.f64 (*.f64 (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (*.f64 (*.f64 x -1/24) (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 x x))))))) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) (pow.f64 y 6)) (*.f64 (pow.f64 y 4) (*.f64 x -1/24)))) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(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 (*.f64 (cos.f64 y) x) 1/3)
(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 (*.f64 (cos.f64 y) x) 1/3)
(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 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(fma.f64 (*.f64 x -1/2) (*.f64 y y) x)
(*.f64 x (fma.f64 (*.f64 -1/2 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 (*.f64 x -1/2) (*.f64 y y) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (*.f64 (*.f64 y 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 (*.f64 x -1/2) (*.f64 y y) x)))
(*.f64 x (+.f64 (fma.f64 (*.f64 -1/2 y) y 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (pow.f64 y 4) 1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(*.f64 1 (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 1/6)) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) 3))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) x)))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/6) (pow.f64 (*.f64 (cos.f64 y) x) 1/6))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/3))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 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))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1/3))
(*.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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.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 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 3/2)
(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))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (cos.f64 y))
0.4%
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
8.05%
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms
z
@inf
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms
z
@-inf
(sqrt.f64 (*.f64 z (sin.f64 y)))
1.0ms
z
@0
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)

rewrite62.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
1276×associate-+r+
1180×distribute-lft-in
1162×associate-+l+
1148×distribute-rgt-in
784×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131139
12341007
2884879
32870851
Stop Event
node limit
Counts
61 → 62
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 0)
(sqrt.f64 (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

eval146.0ms (1.2%)

Compiler

Compiled 6762 to 3344 computations (50.5% saved)

prune166.0ms (1.4%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New38514399
Fresh51318
Picked101
Done156
Total39232424
Error
0%
Counts
424 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
40.24%
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
51.58%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
27.94%
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
40.13%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
40.14%
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x)) 3)
0.45%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
84.8%
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.f64 y z))
0.43%
(-.f64 (*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
0.44%
(-.f64 (*.f64 x (log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
0.41%
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
75.16%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2))
48.65%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
52.17%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
0.25%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
25.73%
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
35.33%
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 y z))
60.86%
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
26.56%
(-.f64 x (*.f64 z (sin.f64 y)))
51.89%
(-.f64 x (*.f64 y z))
0.38%
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
66.91%
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
40.03%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
68.79%
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
54.26%
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
97.76%
(*.f64 (*.f64 x y) (*.f64 y -1/2))
72.46%
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
39.08%
(*.f64 (cos.f64 y) x)
59.49%
(*.f64 z (neg.f64 (sin.f64 y)))
83.91%
(*.f64 z (neg.f64 y))
53.84%
(neg.f64 (fma.f64 y z (*.f64 x (fma.f64 (*.f64 y y) 1/2 -1))))
75.43%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
64.01%
x
Compiler

Compiled 765 to 529 computations (30.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 (cos.f64 y) x)
84.49%
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 71 to 16 computations (77.5% saved)

series1.0ms (0%)

Counts
1 → 28
Calls

9 calls:

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

rewrite121.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
123327
2307927
Stop Event
node limit
Counts
1 → 191
Calls
Call 1
Inputs
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
Outputs
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simplify243.0ms (2%)

Algorithm
egg-herbie
Rules
1346×associate-+r+
1044×associate-/r/
964×+-commutative
858×fma-def
758×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046912957
1139911607
2553211599
Stop Event
node limit
Counts
219 → 268
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (*.f64 (cos.f64 y) x) (+.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)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (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 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.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)))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) 1))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.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))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (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 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (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 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (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 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(neg.f64 (/.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 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(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))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 y z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.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 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.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)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.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 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.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)))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (*.f64 (cos.f64 y) x) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) 1))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (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 z (sin.f64 y)) 0)))
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(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(neg.f64 (/.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 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.15%
(*.f64 (*.f64 x y) (*.f64 y -1/2))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite91.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1570×add-sqr-sqrt
1554×*-un-lft-identity
1442×add-cube-cbrt
1416×add-cbrt-cube
1400×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116319
2195319
Stop Event
node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 y -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))))))

simplify47.0ms (0.4%)

Algorithm
egg-herbie
Rules
1152×distribute-rgt-in
1146×log-prod
1138×distribute-lft-in
1052×associate-*r*
936×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041684
1103684
2396684
32722684
Stop Event
node limit
Counts
36 → 16
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 1)
(pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (*.f64 y -1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 1)
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 1)
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 2)
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 3)
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 3) 1/3)
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 2))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (*.f64 y -1/2)))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2)) 3))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))) 1))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 y y) -1/2))))
(*.f64 -1/2 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 y (*.f64 -1/2 (*.f64 y x)))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1))
0.54%
(-.f64 (+.f64 1 (cos.f64 y)) 1)
0.77%
(+.f64 1 (cos.f64 y))
Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts
3 → 40
Calls

12 calls:

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

rewrite140.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1064×associate-*r/
830×*-commutative
826×associate-*l/
696×distribute-lft-in
654×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051
121127
2283327
Stop Event
node limit
Counts
3 → 221
Calls
Call 1
Inputs
(+.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1))
Outputs
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simplify173.0ms (1.4%)

Algorithm
egg-herbie
Rules
1054×+-commutative
1030×associate-/l*
730×associate-*r*
646×distribute-lft-in
640×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055310103
115599399
278799399
Stop Event
node limit
Counts
261 → 372
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)))))
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 (cos.f64 y)) 0)
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) (+.f64 1 (cos.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 2) 1)) (+.f64 1 (cos.f64 y)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (+.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (cos.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 3) 1)) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.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 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (/.f64 (-.f64 1 (cos.f64 y)) (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))) (/.f64 (-.f64 1 (cos.f64 y)) (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.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 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (*.f64 (-.f64 1 (cos.f64 y)) (+.f64 1 (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 y) 3) (-.f64 (pow.f64 (cos.f64 y) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (*.f64 (-.f64 1 (cos.f64 y)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (pow.f64 (cos.f64 y) 2))))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(/.f64 (sin.f64 y) (/.f64 (-.f64 1 (cos.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1)) (+.f64 (cos.f64 y) -1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (sin.f64 y)))) (cbrt.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) 1) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 3))) 1) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
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(+.f64 (*.f64 (cos.f64 y) x) (*.f64 0 x))
(+.f64 (*.f64 x (+.f64 (cos.f64 y) -1)) x)
(+.f64 (*.f64 x -1) (+.f64 x (*.f64 (cos.f64 y) x)))
(+.f64 (+.f64 x (*.f64 (cos.f64 y) x)) (*.f64 x -1))
(+.f64 (*.f64 1 (+.f64 x (*.f64 (cos.f64 y) x))) (*.f64 1 (*.f64 x -1)))
(+.f64 (*.f64 (+.f64 x (*.f64 (cos.f64 y) x)) 1) (*.f64 (*.f64 x -1) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (+.f64 (cos.f64 y) -1))))
(/.f64 x (/.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (cos.f64 y) x) 1)
(/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (cos.f64 y) 2) x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) x))
(/.f64 (*.f64 x (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(/.f64 (*.f64 1 (*.f64 x (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 1 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)))) (+.f64 (-.f64 1 (cos.f64 y)) 1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (*.f64 x (*.f64 (+.f64 (cos.f64 y) 2) (neg.f64 (cos.f64 y)))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 x (+.f64 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (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) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (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) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) x) (+.f64 (-.f64 1 (cos.f64 y)) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) x) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (neg.f64 (cos.f64 y))) x) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) 1) x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 (*.f64 x (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (*.f64 x (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 x (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (/.f64 (*.f64 x (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) 1) (+.f64 (cos.f64 y) 2))
(/.f64 (/.f64 (*.f64 x (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (/.f64 (*.f64 x (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) 2))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) 2)) (cbrt.f64 (+.f64 (cos.f64 y) 2)))) (cbrt.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) 1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 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 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 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
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))
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 (*.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 (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 (cos.f64 y)) 0)
(+.f64 1 (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) 2) 1)
(+.f64 1 (cos.f64 y))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) 2)) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (/.f64 1 (+.f64 2 (cos.f64 y)))) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (/.f64 -1 (+.f64 2 (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (cos.f64 y) (+.f64 2 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 2 (cos.f64 y))) (/.f64 1 (+.f64 2 (cos.f64 y)))) 1)
(+.f64 1 (+.f64 (/.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)) 3) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (cos.f64 y) (+.f64 2 (pow.f64 (+.f64 1 (cos.f64 y)) 2)))))
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y)))) (+.f64 1 (pow.f64 (cos.f64 y) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))) (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 2) 1)) (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))
(*.f64 (*.f64 (/.f64 (sin.f64 y) (-.f64 1 (pow.f64 (cos.f64 y) 3))) (sin.f64 y)) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (+.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (cos.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))) (fma.f64 (sin.f64 y) (sin.f64 y) (cos.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (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)) (fma.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (cos.f64 y))) 1)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (-.f64 (pow.f64 (cos.f64 y) 3) 1)) (+.f64 (+.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -1) (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2)))) (+.f64 (pow.f64 (cos.f64 y) 3) -1))
(*.f64 (+.f64 1 (+.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))) (/.f64 (fma.f64 (cos.f64 y) (cos.f64 y) -1) (+.f64 (pow.f64 (cos.f64 y) 3) -1)))
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (*.f64 (sin.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (-.f64 1 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))) 1))
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(/.f64 x (/.f64 (+.f64 (cos.f64 y) (+.f64 2 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 x (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) x))
(/.f64 x (/.f64 (+.f64 (cos.f64 y) (+.f64 2 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 x (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) x))
(/.f64 x (/.f64 (+.f64 (cos.f64 y) (+.f64 2 (pow.f64 (+.f64 1 (cos.f64 y)) 2))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 x (/.f64 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(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 x) (cos.f64 y)))
(*.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)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 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)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 y z))
0.21%
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
0.46%
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
0.6%
(pow.f64 (cos.f64 y) 3)
Compiler

Compiled 39 to 20 computations (48.7% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite134.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
834×swap-sqr
760×distribute-rgt-in
710×distribute-lft-in
548×associate-*r/
434×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
128223
2337623
Stop Event
node limit
Counts
1 → 185
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 y z))
Outputs
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simplify157.0ms (1.3%)

Algorithm
egg-herbie
Rules
1760×associate-*r/
1404×associate-+r+
1346×associate-*l/
920×+-commutative
892×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045610857
112669907
250939899
Stop Event
node limit
Counts
221 → 268
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
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(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))))
(fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 y (neg.f64 z)))
(fma.f64 1 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) 0))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z)))) (*.f64 (*.f64 y z) 0))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1 (*.f64 y z) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(-.f64 (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 y (neg.f64 z)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 y z) 0)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 2 (*.f64 (*.f64 y z) 0))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 2 (*.f64 (*.f64 y z) 0))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 (*.f64 y z) 0) 1)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 (*.f64 y z) 0) 1)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z))))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 y (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (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 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (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 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (*.f64 y z) 0)) 1))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (*.f64 (*.f64 y z) 0))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (*.f64 2 (*.f64 (*.f64 y z) 0)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (*.f64 (*.f64 (*.f64 y z) 0) 1))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(fma.f64 y (neg.f64 z) (fma.f64 x (cos.f64 y) (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 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (+.f64 (*.f64 2 (*.f64 (*.f64 y z) 0)) (*.f64 (*.f64 y z) 0)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (*.f64 (*.f64 y z) 0) 1) (*.f64 (*.f64 y z) 0)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 y (neg.f64 z))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (*.f64 (*.f64 y z) 0)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 y (neg.f64 z)))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 y z))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.08%
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
0.2%
(*.f64 z (sin.f64 y))
0.21%
(*.f64 x (cos.f64 y))
0.37%
(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
@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
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
@0
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)

rewrite160.0ms (1.3%)

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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simplify255.0ms (2.1%)

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)
(+.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))
(+.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)))
(-.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)
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(/.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 (*.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 x (cos.f64 y)) (+.f64 (*.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 (sin.f64 y) (neg.f64 z)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.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)) 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 (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 (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 (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))) (*.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 (+.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))) (*.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 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (*.f64 x (cos.f64 y))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 z (sin.f64 y)))) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (*.f64 x (cos.f64 y))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 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)))))))
(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)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(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 1 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(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 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(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 (sin.f64 y) (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 1)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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))
(*.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 (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 (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 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (-.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 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)))
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(*.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))))

eval746.0ms (6.2%)

Compiler

Compiled 49444 to 17558 computations (64.5% saved)

prune807.0ms (6.8%)

Pruning

31 alts after pruning (24 fresh and 7 done)

PrunedKeptTotal
New1616101626
Fresh81422
Picked101
Done279
Total1627311658
Error
0%
Counts
1658 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
35.28%
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
40.24%
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
64.24%
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
72.46%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
27.94%
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
40.13%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
0.45%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
0.46%
(-.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) x) (+.f64 (-.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
0.36%
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z (sin.f64 y)))
0.82%
(-.f64 (+.f64 (+.f64 x (*.f64 (cos.f64 y) x)) (*.f64 x -1)) (*.f64 z (sin.f64 y)))
0.5%
(-.f64 (+.f64 (*.f64 x (+.f64 (cos.f64 y) -1)) x) (*.f64 z (sin.f64 y)))
84.8%
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.f64 y z))
0.43%
(-.f64 (*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
35.4%
(-.f64 (*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 y z))
0.41%
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
48.65%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
52.17%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
0.25%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
25.73%
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
60.86%
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
26.56%
(-.f64 x (*.f64 z (sin.f64 y)))
51.89%
(-.f64 x (*.f64 y z))
59.64%
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
66.91%
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
97.86%
(*.f64 (*.f64 y y) (*.f64 x -1/2))
97.76%
(*.f64 (*.f64 x y) (*.f64 y -1/2))
39.08%
(*.f64 (cos.f64 y) x)
59.49%
(*.f64 z (neg.f64 (sin.f64 y)))
83.91%
(*.f64 z (neg.f64 y))
75.43%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
64.01%
x
Compiler

Compiled 394 to 276 computations (29.9% saved)

regimes250.0ms (2.1%)

Counts
58 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.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 1 (cos.f64 y)) 1)) (*.f64 y z))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 y z (*.f64 x (fma.f64 (*.f64 y y) 1/2 -1))))
(-.f64 (*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 x (+.f64 (cos.f64 y) -1)) x) (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 (+.f64 x (*.f64 (cos.f64 y) x)) (*.f64 x -1)) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 y z))
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 y z))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (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 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (*.f64 x (log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) x) (+.f64 (-.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x)) 3)
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.f64 x (cos.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 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(*.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 (*.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)))))
(pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))) 3)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
Outputs
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
Calls

4 calls:

80.0ms
x
48.0ms
y
47.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
28.0ms
z
Results
ErrorSegmentsBranch
0.24%1x
0.24%1y
0.24%1z
0.24%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 727 to 243 computations (66.6% saved)

regimes166.0ms (1.4%)

Counts
50 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.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 1 (cos.f64 y)) 1)) (*.f64 y z))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 y z (*.f64 x (fma.f64 (*.f64 y y) 1/2 -1))))
(-.f64 (*.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 x (+.f64 (cos.f64 y) -1)) x) (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 (+.f64 x (*.f64 (cos.f64 y) x)) (*.f64 x -1)) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 y z))
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 y z))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (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 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (*.f64 x (log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) x) (+.f64 (-.f64 1 (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) x)) 3)
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

55.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.0ms
y
24.0ms
z
23.0ms
x
Results
ErrorSegmentsBranch
0.25%1x
0.25%1y
0.25%1z
0.25%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 536 to 211 computations (60.6% saved)

regimes180.0ms (1.5%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.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 1 (cos.f64 y)) 1)) (*.f64 y z))
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (cos.f64 y) x))
Outputs
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

96.0ms
y
55.0ms
x
25.0ms
z
Results
ErrorSegmentsBranch
12.73%3x
17.56%6y
14.17%3z
Compiler

Compiled 123 to 59 computations (52% saved)

bsearch105.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
76.0ms
5.3557846323186825e+65
7.181054414464455e+68
28.0ms
-1.2579515136583619e+70
-2.5400548420310106e+69
Results
49.0ms34×body512valid
28.0ms59×body1024valid
25.0ms131×body256valid
Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes199.0ms (1.7%)

Counts
10 → 5
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
Outputs
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

94.0ms
z
66.0ms
x
37.0ms
y
Results
ErrorSegmentsBranch
21.66%5x
20.6%5y
21.23%7z
Compiler

Compiled 77 to 42 computations (45.5% saved)

bsearch190.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
58.0ms
2.434403916588564e+116
1.7334924843007704e+124
34.0ms
7.189633200873002e-6
5893926.330894791
59.0ms
-25268.50600993882
-0.13475712690330646
39.0ms
-3.5448617874209017e+176
-1.1052364422698695e+176
Results
89.0ms304×body256valid
56.0ms144×body512valid
38.0ms80×body1024valid
Compiler

Compiled 589 to 433 computations (26.5% saved)

regimes92.0ms (0.8%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.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:

52.0ms
z
19.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
32.81%3x
25.88%3y
30.39%3z
Compiler

Compiled 72 to 39 computations (45.8% saved)

bsearch57.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.5284488906407993e-12
1.6684928419460333e-9
32.0ms
-25268.50600993882
-0.13475712690330646
Results
53.0ms272×body256valid
Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes23.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(*.f64 (*.f64 x y) (*.f64 y -1/2))
(*.f64 (*.f64 y y) (*.f64 x -1/2))
(*.f64 x (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(-.f64 (*.f64 (*.f64 x y) (*.f64 y -1/2)) (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))
Calls

3 calls:

8.0ms
z
7.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
51.89%1x
51.89%1y
51.89%1z
Compiler

Compiled 68 to 37 computations (45.6% saved)

regimes36.0ms (0.3%)

Accuracy

Total -24.4b remaining (-64.5%)

Threshold costs -24.4b (-64.5%)

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

3 calls:

13.0ms
x
12.0ms
y
10.0ms
z
Results
ErrorSegmentsBranch
60.05%3x
61.83%3y
59.1%3z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch59.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
4.2176275284270814e+176
3.40046858597771e+177
31.0ms
-2.3319964791551405e+176
-2.5608147759954664e+174
Results
25.0ms51×body1024valid
21.0ms126×body256valid
10.0ms31×body512valid
Compiler

Compiled 187 to 143 computations (23.5% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
055344
191340
2110340
3117340
4119340
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -2699999999999999812710993013656720251040854118468313375214386873892864) (*.f64 (cos.f64 y) x) (if (<=.f64 x 1700000000000000150241840027882902302799555333025615942679105896448) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -129999999999999995344725222090666107374286207408332679819632132493247389444871635069486608089248079694299670708498432579483168106364151609791441431977236437561906080575402278912) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -607985949695017/4503599627370496) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1152921504606847/2305843009213693952) (-.f64 x (*.f64 y z)) (if (<=.f64 y 300000000000000001168223679187233828284456855688124245445860084700110236068193740723570818255512757145240801023465881600) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -607985949695017/4503599627370496) (*.f64 (cos.f64 y) x) (if (<=.f64 y 7978910409456553/4835703278458516698824704) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -4999999999999999685767262311684382050136653779948436637603125339225962301342551691018788391909545423367274411147450016581056025920228934414807060620089030981692445981711269888) (*.f64 z (neg.f64 y)) (if (<=.f64 z 430000000000000025697630588607939467372750362020665459463131884274018302064938811972587450198219386710843639638651683651606489715712678084770275051151481144994087630190808137728) x (*.f64 z (neg.f64 y))))
x
Outputs
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(-.f64 (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -2699999999999999812710993013656720251040854118468313375214386873892864) (*.f64 (cos.f64 y) x) (if (<=.f64 x 1700000000000000150241840027882902302799555333025615942679105896448) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -2699999999999999812710993013656720251040854118468313375214386873892864) (not (<=.f64 x 1700000000000000150241840027882902302799555333025615942679105896448))) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 y -129999999999999995344725222090666107374286207408332679819632132493247389444871635069486608089248079694299670708498432579483168106364151609791441431977236437561906080575402278912) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -607985949695017/4503599627370496) (*.f64 (cos.f64 y) x) (if (<=.f64 y 1152921504606847/2305843009213693952) (-.f64 x (*.f64 y z)) (if (<=.f64 y 300000000000000001168223679187233828284456855688124245445860084700110236068193740723570818255512757145240801023465881600) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -129999999999999995344725222090666107374286207408332679819632132493247389444871635069486608089248079694299670708498432579483168106364151609791441431977236437561906080575402278912) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -607985949695017/4503599627370496) (*.f64 x (cos.f64 y)) (if (<=.f64 y 1152921504606847/2305843009213693952) (-.f64 x (*.f64 z y)) (if (<=.f64 y 300000000000000001168223679187233828284456855688124245445860084700110236068193740723570818255512757145240801023465881600) (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y -607985949695017/4503599627370496) (*.f64 (cos.f64 y) x) (if (<=.f64 y 7978910409456553/4835703278458516698824704) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -607985949695017/4503599627370496) (not (<=.f64 y 7978910409456553/4835703278458516698824704))) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))
(if (<=.f64 z -4999999999999999685767262311684382050136653779948436637603125339225962301342551691018788391909545423367274411147450016581056025920228934414807060620089030981692445981711269888) (*.f64 z (neg.f64 y)) (if (<=.f64 z 430000000000000025697630588607939467372750362020665459463131884274018302064938811972587450198219386710843639638651683651606489715712678084770275051151481144994087630190808137728) x (*.f64 z (neg.f64 y))))
(if (or (<=.f64 z -4999999999999999685767262311684382050136653779948436637603125339225962301342551691018788391909545423367274411147450016581056025920228934414807060620089030981692445981711269888) (not (<=.f64 z 430000000000000025697630588607939467372750362020665459463131884274018302064938811972587450198219386710843639638651683651606489715712678084770275051151481144994087630190808137728))) (*.f64 z (neg.f64 y)) x)
x
Compiler

Compiled 148 to 90 computations (39.2% saved)

soundness0.0ms (0%)

end55.0ms (0.5%)

Compiler

Compiled 127 to 52 computations (59.1% saved)

Profiling

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