Details

Time bar (total: 11.7s)

analyze310.0ms (2.7%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.5s (21.7%)

Results
1.1s2143×body1024valid
1.0s5048×body256valid
379.0ms1058×body512valid
5.0msbody2048valid
Bogosity

preprocess50.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 11 computations (26.7% saved)

simplify26.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize36.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series10.0ms (0.1%)

Counts
3 → 64
Calls

21 calls:

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

rewrite104.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
123349
2307949
Stop Event
node limit
Counts
3 → 217
Calls
Call 1
Inputs
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 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))))))))
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simplify155.0ms (1.3%)

Algorithm
egg-herbie
Rules
1894×associate-+r+
1110×fma-def
1008×+-commutative
634×associate-*r*
564×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054111681
1156511191
2700111191
Stop Event
node limit
Counts
281 → 300
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (*.f64 (*.f64 z (sin.f64 y)) 0))) 1) (-.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 3)) 1) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 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))))
Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 (*.f64 1/120 (pow.f64 y 5)) z)))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 (*.f64 1/120 (pow.f64 y 5)) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))))
(*.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))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x y) y) 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 (*.f64 x y) y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (*.f64 y z))
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(/.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 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 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 (pow.f64 (*.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 6) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (pow.f64 (*.f64 z (sin.f64 y)) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (*.f64 (cos.f64 y) x) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (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)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (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 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) 2))
(fabs.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) 0))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))

eval114.0ms (1%)

Compiler

Compiled 8798 to 2391 computations (72.8% saved)

prune111.0ms (1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New28020300
Fresh000
Picked011
Done000
Total28021301
Error
0.0b
Counts
301 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
31.7b
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
1.3b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
37.2b
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
27.8b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 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)))))
37.5b
(/.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)))))))
27.5b
(/.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)))))
0.2b
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
30.2b
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
22.5b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
31.2b
(-.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
15.9b
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
13.9b
(-.f64 x (*.f64 z (sin.f64 y)))
32.0b
(-.f64 x (*.f64 y z))
0.2b
(+.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)))))
37.4b
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
27.2b
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
32.2b
(*.f64 (*.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 (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))))))
36.7b
(*.f64 (sin.f64 y) (neg.f64 z))
37.0b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
Compiler

Compiled 964 to 510 computations (47.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 8 computations (69.2% saved)

series6.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite92.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify101.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

localize5.0ms (0%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 15 computations (71.2% saved)

series8.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite157.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
129960
2365560
Stop Event
node limit
Counts
2 → 269
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
Outputs
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simplify231.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
070023537
1210921233
Stop Event
node limit
Counts
341 → 419
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
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(*.f64 -1 (*.f64 z (sin.f64 y)))
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(*.f64 -1 (*.f64 z (sin.f64 y)))
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(/.f64 -1 (*.f64 z (sin.f64 y)))
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(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)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 x (cos.f64 y))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 z (sin.f64 y))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) 1)
(*.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 1 (neg.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (-.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))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 -1 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1)
(*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 1 (-.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 (*.f64 z (sin.f64 y)) (fma.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) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 1) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) 1) (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 1 (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 (/.f64 1 (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 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 -1 (neg.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 (*.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) (*.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) (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) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(*.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))) (-.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(*.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 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 3))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1)
(pow.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 (sin.f64 y)) z)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (*.f64 x (neg.f64 (cos.f64 y))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) x) (/.f64 (/.f64 -1 (sin.f64 y)) z))
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(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 3))) (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(/.f64 (fma.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 0 (*.f64 z (sin.f64 y))) 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -1/2) (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 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -1/2) (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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -1/2) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (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 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2)) (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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1)
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(pow.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1)
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 2)
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3)
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) -1))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
0.2b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
7.2b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@0
(sqrt.f64 (*.f64 z (sin.f64 y)))
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
@0
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms
z
@0
(sqrt.f64 (*.f64 z (sin.f64 y)))

rewrite67.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120026
2203626
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(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))))))))

simplify54.0ms (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))

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
0.2b
(pow.f64 (*.f64 z (sin.f64 y)) 2)
1.8b
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))
25.7b
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
Compiler

Compiled 87 to 29 computations (66.7% saved)

series24.0ms (0.2%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
3.0ms
y
@inf
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
2.0ms
x
@-inf
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
2.0ms
y
@-inf
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
1.0ms
y
@0
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))

rewrite131.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1542×associate-*r/
1236×associate-*l/
400×add-sqr-sqrt
390×*-un-lft-identity
386×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019152
1396152
24976152
Stop Event
node limit
Counts
4 → 262
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 z (sin.f64 y)) 2)
(/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
Outputs
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simplify308.0ms (2.6%)

Algorithm
egg-herbie
Rules
1526×associate-/l*
1394×associate-*r*
1284×associate-*l*
808×associate-/r*
562×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074329656
1203329316
Stop Event
node limit
Counts
394 → 434
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) x) (*.f64 1/2 z))))) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
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(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (+.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 x (cos.f64 y)) 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (+.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 x (cos.f64 y)) 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 x (cos.f64 y)) 4)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 x (cos.f64 y)) 4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 x (cos.f64 y)) 4)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 x (cos.f64 y)) 6)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6))) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (+.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 x (cos.f64 y)) 4))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (+.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 x (cos.f64 y)) 4))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 x (cos.f64 y)) 6)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)))))
(pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(fma.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(fma.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4)) (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(fma.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1)
(*.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1)
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (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 (pow.f64 (*.f64 z (sin.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) (*.f64 z z)) 2)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 -1 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1) (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1)
(pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) (+.f64 (*.f64 -1 (*.f64 y z)) x))
(fma.f64 (*.f64 y y) (-.f64 (neg.f64 x) (fma.f64 -1/2 x (*.f64 0 (/.f64 (*.f64 z z) x)))) (fma.f64 -1 (*.f64 z y) x))
(fma.f64 (*.f64 y y) (-.f64 (neg.f64 x) (fma.f64 -1/2 x (*.f64 (/.f64 z (/.f64 x z)) 0))) (fma.f64 -1 (*.f64 z y) x))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) x)) (/.f64 (pow.f64 z 2) x))))) x) (*.f64 1/2 z))))) x)))
(fma.f64 (*.f64 y y) (-.f64 (neg.f64 x) (fma.f64 -1/2 x (*.f64 0 (/.f64 (*.f64 z z) x)))) (fma.f64 -1 (*.f64 z y) (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (+.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) (fma.f64 -1/2 x (*.f64 0 (/.f64 (*.f64 z z) x))))) x) (*.f64 z 1/2)))) x)))
(fma.f64 (*.f64 y y) (-.f64 (neg.f64 x) (fma.f64 -1/2 x (*.f64 (/.f64 z (/.f64 x z)) 0))) (fma.f64 -1 (*.f64 z y) (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 -1/6 z (+.f64 (*.f64 (/.f64 z x) (-.f64 (neg.f64 x) (fma.f64 -1/2 x (*.f64 (/.f64 z (/.f64 x z)) 0)))) (*.f64 z 1/2)))) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
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(*.f64 -1 (/.f64 -1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1) (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1)
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) 2)
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) -2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) -1))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))

eval387.0ms (3.3%)

Compiler

Compiled 36871 to 12293 computations (66.7% saved)

prune358.0ms (3.1%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1172181190
Fresh9615
Picked101
Done235
Total1184271211
Error
0.0b
Counts
1211 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
35.5b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z)))
16.4b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
31.7b
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
1.3b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
31.8b
(/.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 2))
1.4b
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3))
36.8b
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
26.2b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
39.0b
(/.f64 1 (/.f64 1 x))
41.5b
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
39.6b
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
28.1b
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))
37.0b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))))
0.2b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.9b
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
36.7b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
13.9b
(-.f64 x (*.f64 z (sin.f64 y)))
32.0b
(-.f64 x (*.f64 y z))
31.8b
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) -1))
43.4b
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)))
27.3b
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
36.7b
(*.f64 (sin.f64 y) (neg.f64 z))
26.1b
(*.f64 (cos.f64 y) x)
37.0b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
39.0b
x
Compiler

Compiled 804 to 550 computations (31.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 y))
0.1b
(/.f64 1 (cos.f64 y))
0.1b
(/.f64 x (/.f64 1 (cos.f64 y)))
0.3b
(/.f64 z (/.f64 1 (sin.f64 y)))
Compiler

Compiled 44 to 23 computations (47.7% saved)

series5.0ms (0%)

Counts
4 → 56
Calls

18 calls:

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

rewrite76.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify87.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03583166
18793076
232673046
Stop Event
node limit
Counts
196 → 217
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 y 6)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) 1) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1)
(neg.f64 (*.f64 z (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (neg.f64 (neg.f64 (cos.f64 y))))
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 x (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 -1 (*.f64 x (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 x) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (*.f64 x (cbrt.f64 (cos.f64 y))))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 x -1) (neg.f64 (cos.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (cos.f64 y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) 1) (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cos.f64 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cos.f64 y) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 y) -2))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) 1) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cos.f64 y)))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 x (cos.f64 y))) -1)
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 y)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 (cos.f64 y)) 1)
(*.f64 (pow.f64 (cos.f64 y) -1/2) (pow.f64 (cos.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 -1 (/.f64 -1 (cos.f64 y)))
(*.f64 (/.f64 -1 (cos.f64 y)) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) -1) (pow.f64 (sqrt.f64 (cos.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (/.f64 1 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)) 1/3)
(pow.f64 (cos.f64 y) -1)
(sqrt.f64 (pow.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 y)) -1))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (sin.f64 y) -1)
(sqrt.f64 (pow.f64 (sin.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 z y (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
(fma.f64 (*.f64 (*.f64 -1/2 y) y) x x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 (*.f64 (*.f64 -1/2 y) y) x x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 (*.f64 (*.f64 -1/2 y) y) x x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
1
(+.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) 1/2))
(fma.f64 (*.f64 y y) 1/2 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 5/24 (*.f64 y (*.f64 y 1/2))))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 y 6)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 5/24 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 y 6) (fma.f64 1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 5/24))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 61/720 (fma.f64 (pow.f64 y 4) 5/24 (*.f64 y (*.f64 y 1/2)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(fma.f64 y 1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 y 1/6 (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y 1/6)))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 y 1/6 (*.f64 (pow.f64 y 3) 7/360)) (fma.f64 (pow.f64 y 5) 31/15120 (/.f64 1 y)))
(+.f64 (fma.f64 (pow.f64 y 3) 7/360 (*.f64 y 1/6)) (fma.f64 (pow.f64 y 5) 31/15120 (/.f64 1 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
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(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify51.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 28
Calls

9 calls:

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

rewrite116.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
902×*-commutative
748×unswap-sqr
548×swap-sqr
414×distribute-lft-in
408×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118917
2249117
Stop Event
node limit
Counts
1 → 148
Calls
Call 1
Inputs
(-.f64 x (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.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 x (+.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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify156.0ms (1.3%)

Algorithm
egg-herbie
Rules
1650×associate-*r/
1222×associate-+r+
1188×associate-+l+
1020×+-commutative
742×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041111116
111909994
248969802
Stop Event
node limit
Counts
176 → 241
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
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(*.f64 -1 (*.f64 z (sin.f64 y)))
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(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 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 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 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 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 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 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 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 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (-.f64 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 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (+.f64 x (*.f64 (*.f64 0 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (-.f64 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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.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 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (*.f64 0 (*.f64 z (sin.f64 y))) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 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))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
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(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (sin.f64 y) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 2))
(fabs.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
0.2b
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)
35.2b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
Compiler

Compiled 51 to 14 computations (72.5% saved)

series10.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite215.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1006×distribute-rgt-in
954×distribute-lft-in
870×associate-*r/
630×associate-*l/
328×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
129960
2360160
Stop Event
node limit
Counts
2 → 504
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)
Outputs
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simplify399.0ms (3.4%)

Algorithm
egg-herbie
Rules
1350×associate-/l*
1086×+-commutative
978×*-commutative
966×distribute-lft-in
798×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122351842
1355151826
Stop Event
node limit
Counts
576 → 775
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.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))
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 3) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 3))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 3) (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 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2) 3) (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 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (-.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (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))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (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 (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.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 (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 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) 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 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 3) 1) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 3) 1) (pow.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))))) 3))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))) (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 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.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 (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)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.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 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (+.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 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.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 (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) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.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))))) (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 (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 (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.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 (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.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 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) 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 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (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 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (*.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)))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
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(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
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(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
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(fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (pow.f64 (*.f64 (cos.f64 y) x) 3))
(fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) 2))))) (pow.f64 (*.f64 (cos.f64 y) x) 3))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (*.f64 -1 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (cos.f64 y)) (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (*.f64 -1 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 z (sin.f64 y))))) x) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (fma.f64 (fma.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (neg.f64 (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) x (pow.f64 (*.f64 (cos.f64 y) x) 3)))
(fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) 2))))) (fma.f64 (fma.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (neg.f64 (neg.f64 (*.f64 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) x (pow.f64 (*.f64 (cos.f64 y) x) 3)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (*.f64 -1 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (cos.f64 y)) (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (*.f64 -1 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 z (sin.f64 y))))) x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))
(fma.f64 (fma.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (neg.f64 (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) x (fma.f64 -1 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (pow.f64 (*.f64 (cos.f64 y) x) 3))))
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(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (cos.f64 y) x) 3)
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(fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (pow.f64 (*.f64 (cos.f64 y) x) 3))
(fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) 2))))) (pow.f64 (*.f64 (cos.f64 y) x) 3))
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(fma.f64 -1 (*.f64 x (*.f64 -1 (+.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) 2))))) (pow.f64 (*.f64 (cos.f64 y) x) 3)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (*.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (*.f64 z (sin.f64 y))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y)))) (cos.f64 y))) (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (sin.f64 y))))) (pow.f64 x 2)))))
(fma.f64 -1 (*.f64 x (fma.f64 -1 (*.f64 (*.f64 z z) (*.f64 (cos.f64 y) (pow.f64 (sin.f64 y) 2))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) (fma.f64 -1 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (pow.f64 (*.f64 (cos.f64 y) x) 3))))
(fma.f64 -1 (*.f64 x (*.f64 -1 (+.f64 (*.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (fma.f64 -1 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 (*.f64 x x) (fma.f64 -1 (*.f64 (cos.f64 y) (fma.f64 (cos.f64 y) (*.f64 z (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) 2))))) (pow.f64 (*.f64 (cos.f64 y) x) 3))))
(pow.f64 x 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2)))) y) (pow.f64 x 3))
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(/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (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 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 (*.f64 (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))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (/.f64 (*.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))))) (-.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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (/.f64 (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.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)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.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 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(*.f64 (/.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)))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (sqrt.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))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (*.f64 (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 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (-.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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.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 z (*.f64 (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) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (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 (*.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 x (cos.f64 y) (*.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)))))) (/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (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 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (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 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 (*.f64 (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))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (/.f64 (*.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))))) (-.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 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (/.f64 (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.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)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) 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 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(*.f64 (/.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)))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (sqrt.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))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (*.f64 (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 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)) (*.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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.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 z (*.f64 (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) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (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 (*.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 x (cos.f64 y) (*.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)))))) (/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (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))))))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 6))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) 3))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)

localize64.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z)))
1.8b
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
37.6b
(/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z))
Compiler

Compiled 53 to 22 computations (58.5% saved)

series7.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
1.0ms
z
@0
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
1.0ms
y
@0
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
1.0ms
y
@-inf
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
0.0ms
z
@inf
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))

rewrite88.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
614×associate-/l/
520×associate-/r/
464×distribute-lft-neg-in
420×distribute-rgt-in
384×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01699
133975
2463675
Stop Event
node limit
Counts
3 → 167
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z))
(*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y)))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z)))
Outputs
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simplify131.0ms (1.1%)

Algorithm
egg-herbie
Rules
842×distribute-rgt-neg-in
836×associate-*r*
830×distribute-lft-neg-in
820×associate-*l*
614×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04087017
112165931
255445889
Stop Event
node limit
Counts
251 → 268
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 -1 (*.f64 y (pow.f64 z 3))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 y (pow.f64 z 3))) (*.f64 -1/120 (*.f64 (pow.f64 y 5) (pow.f64 z 3)))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (pow.f64 z 3))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 y (pow.f64 z 3))) (*.f64 -1/120 (*.f64 (pow.f64 y 5) (pow.f64 z 3))))))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 z 3) (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
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(+.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))
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(*.f64 (cos.f64 y) x)
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(+.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))
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(*.f64 -1 (*.f64 z (sin.f64 y)))
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(*.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 (/.f64 (*.f64 z z) z) 0) (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(+.f64 (*.f64 0 (/.f64 (*.f64 z z) z)) (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) 1)
(*.f64 (pow.f64 z 3) (*.f64 (sin.f64 y) (pow.f64 z -2)))
(*.f64 (pow.f64 z 3) (*.f64 (pow.f64 z -2) (sin.f64 y)))
(*.f64 (pow.f64 z 3) (neg.f64 (*.f64 (pow.f64 z -2) (sin.f64 y))))
(*.f64 (sin.f64 y) (*.f64 (pow.f64 z 3) (pow.f64 z -2)))
(*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))
(*.f64 (sin.f64 y) (neg.f64 (/.f64 (*.f64 z z) z)))
(*.f64 (sin.f64 y) (neg.f64 (*.f64 (pow.f64 z 3) (pow.f64 z -2))))
(*.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (pow.f64 z -2))
(*.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (/.f64 1 (*.f64 z (neg.f64 z))))
(*.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (neg.f64 (pow.f64 z -2)))
(*.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (neg.f64 (/.f64 1 (*.f64 z (neg.f64 z)))))
(*.f64 (*.f64 z z) (/.f64 (sin.f64 y) z))
(*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) 1)
(*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) -1)
(*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) (/.f64 z z))
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(*.f64 (*.f64 z (sqrt.f64 (/.f64 (sin.f64 y) z))) (*.f64 z (sqrt.f64 (/.f64 (sin.f64 y) z))))
(*.f64 (*.f64 z (sqrt.f64 (/.f64 (sin.f64 y) z))) (neg.f64 (*.f64 z (sqrt.f64 (/.f64 (sin.f64 y) z)))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (pow.f64 z -2)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (pow.f64 z -2))))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) (pow.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) 2))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) (neg.f64 (pow.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) 2)))
(*.f64 (pow.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) 2) (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))))
(*.f64 (pow.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) 2) (neg.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z)))))
(*.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) (*.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (pow.f64 z -2)))
(*.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) (neg.f64 (*.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (pow.f64 z -2))))
(*.f64 (*.f64 (sin.f64 y) (*.f64 z z)) (/.f64 1 z))
(*.f64 (*.f64 (sin.f64 y) (*.f64 z z)) (/.f64 z (*.f64 z z)))
(*.f64 (*.f64 (sin.f64 y) (*.f64 z z)) (neg.f64 (/.f64 1 z)))
(*.f64 -1 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(*.f64 (pow.f64 z -2) (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) z) (*.f64 z z))
(*.f64 (/.f64 (sin.f64 y) z) (*.f64 z (neg.f64 z)))
(*.f64 (*.f64 z (neg.f64 z)) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 1 z) (*.f64 (sin.f64 y) (*.f64 z z)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 z 3) 1) (/.f64 (sin.f64 y) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1) (/.f64 z (pow.f64 z 3)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (*.f64 z z)) (sqrt.f64 z)) (/.f64 z (pow.f64 z 3/2)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z z)) (pow.f64 z 3))
(*.f64 (/.f64 (*.f64 z z) z) (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 z 3)) (*.f64 (sin.f64 y) (pow.f64 z -2)))
(*.f64 (neg.f64 (pow.f64 z 3)) (*.f64 (pow.f64 z -2) (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 z -2) (sin.f64 y)) (pow.f64 z 3))
(*.f64 (/.f64 1 (*.f64 z (neg.f64 z))) (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) 1) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) 1) (/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) 1) (neg.f64 (/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (*.f64 z z))))
(*.f64 (/.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z 4))) (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z 4))) (neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (*.f64 z z)) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (cbrt.f64 (pow.f64 z 4))) (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (cbrt.f64 (pow.f64 z 4))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) z) (/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) z))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) z) (neg.f64 (/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) z)))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (pow.f64 z 4))) (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (pow.f64 z 4))) (neg.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z)))))
(*.f64 (/.f64 z (*.f64 (/.f64 z (sin.f64 y)) z)) (*.f64 z z))
(*.f64 (/.f64 (pow.f64 z 3) (*.f64 z (neg.f64 z))) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 z 3) (/.f64 (*.f64 z z) (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 z 3) (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 z 3) (/.f64 (*.f64 z z) -1)) (sin.f64 y))
(*.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (pow.f64 z 3)) z)
(*.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (/.f64 (pow.f64 z 3) 1)) z)
(*.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (/.f64 (pow.f64 z 3) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (neg.f64 (pow.f64 z 3))) (neg.f64 z))
(*.f64 (/.f64 (*.f64 z z) (*.f64 (/.f64 z (sin.f64 y)) z)) z)
(*.f64 (/.f64 1 (/.f64 (pow.f64 z 3) (pow.f64 z 4))) (sin.f64 y))
(*.f64 (/.f64 1 (/.f64 (*.f64 z z) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)))) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)))
(*.f64 (/.f64 1 (/.f64 (*.f64 z z) (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2))) (*.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 z 3/2) (*.f64 (/.f64 z (sin.f64 y)) z)) (pow.f64 z 3/2))
(*.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) (*.f64 z z)) (*.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1) (pow.f64 z 3)) z)
(*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1) 1) (/.f64 z (pow.f64 z 3)))
(*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1) (/.f64 (pow.f64 z 3) 1)) z)
(*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1) (/.f64 (pow.f64 z 3) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1) (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1) (neg.f64 (pow.f64 z 3))) (neg.f64 z))
(*.f64 (neg.f64 (/.f64 (pow.f64 z 3) 1)) (/.f64 (sin.f64 y) (*.f64 z z)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) 1)) (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (*.f64 z z)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) 1)) (/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) (*.f64 z z)))
(*.f64 (neg.f64 (*.f64 z (sqrt.f64 (/.f64 (sin.f64 y) z)))) (*.f64 z (sqrt.f64 (/.f64 (sin.f64 y) z))))
(*.f64 (neg.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z)))) (pow.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) 2))
(*.f64 (neg.f64 (pow.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) 2)) (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))))
(*.f64 (neg.f64 (pow.f64 z -2)) (*.f64 (pow.f64 z 3) (sin.f64 y)))
(*.f64 (neg.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) (*.f64 z z)))
(*.f64 (neg.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4)))) (/.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (neg.f64 (/.f64 (*.f64 z z) z)) (sin.f64 y))
(*.f64 (neg.f64 (/.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 z 4)))) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (cbrt.f64 (pow.f64 z 4)))) (/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) z)) (/.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) z))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (pow.f64 z 4)))) (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) 1)
(pow.f64 (*.f64 z (sqrt.f64 (/.f64 (sin.f64 y) z))) 2)
(pow.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z (sin.f64 y)) z))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) 3) 1/3)
(pow.f64 (/.f64 z (*.f64 (sin.f64 y) (*.f64 z z))) -1)
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) z) (/.f64 (sin.f64 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 3) (pow.f64 z 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))
(+.f64 0 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z 3) (sin.f64 y))))) 1)
(+.f64 (*.f64 (pow.f64 z 3) 0) (*.f64 (pow.f64 z 3) (sin.f64 y)))
(+.f64 (*.f64 (neg.f64 (pow.f64 z 3)) 0) (*.f64 (pow.f64 z 3) (sin.f64 y)))
(+.f64 (*.f64 0 (pow.f64 z 3)) (*.f64 (pow.f64 z 3) (sin.f64 y)))
(+.f64 (*.f64 0 (neg.f64 (pow.f64 z 3))) (*.f64 (pow.f64 z 3) (sin.f64 y)))
(-.f64 0 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)))) 1)
(pow.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 1)
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 z 3/2)) 2)
(pow.f64 (*.f64 z (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 6)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 z 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (pow.f64 z 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 3) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z 3) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z 3) (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 3) (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) (*.f64 (*.f64 (cos.f64 y) x) 1))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(+.f64 (*.f64 (*.f64 (cos.f64 y) x) 1) (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))) 1)
(+.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 y) x) 1)) (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) x) 1) 1) (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) (-.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) x) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))) 1)
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))) 1)
(*.f64 1 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) 2)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x)) (*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) (-.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) (*.f64 (cos.f64 y) x)))))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
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(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(fma.f64 (sin.f64 y) (/.f64 z 1) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(fma.f64 (sin.f64 y) (/.f64 z 1) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))) 1))
(fma.f64 (sin.f64 y) (/.f64 z 1) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)))))
(fma.f64 (sin.f64 y) (/.f64 z 1) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))

eval565.0ms (4.8%)

Compiler

Compiled 48501 to 14494 computations (70.1% saved)

prune717.0ms (6.1%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New1614131627
Fresh51419
Picked011
Done257
Total1621331654
Error
0b
Counts
1654 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
35.5b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z)))
16.4b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
31.7b
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
1.3b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
31.8b
(/.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 2))
36.8b
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
26.2b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
39.0b
(/.f64 1 (/.f64 1 x))
41.5b
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
39.6b
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
28.1b
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))
0.2b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1))
30.9b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) -2)))
18.3b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
22.6b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
0.3b
(-.f64 (/.f64 x (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
18.2b
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
46.9b
(-.f64 (+.f64 1 x) 1)
31.2b
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
0.2b
(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (/.f64 1 (sin.f64 y))))
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.9b
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
36.7b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
14.0b
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
13.9b
(-.f64 x (*.f64 z (sin.f64 y)))
32.0b
(-.f64 x (*.f64 y z))
36.7b
(*.f64 (sin.f64 y) (neg.f64 z))
26.1b
(*.f64 (cos.f64 y) x)
53.4b
(sqrt.f64 (*.f64 x x))
48.6b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
48.6b
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
39.0b
x
Compiler

Compiled 829 to 595 computations (28.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (/.f64 1 (sin.f64 y))))
0.1b
(/.f64 1 (sin.f64 y))
0.1b
(*.f64 (cos.f64 y) x)
0.3b
(/.f64 z (/.f64 1 (sin.f64 y)))
Compiler

Compiled 36 to 16 computations (55.6% saved)

series3.0ms (0%)

Counts
2 → 40
Calls

15 calls:

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

rewrite110.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1800×associate-*r/
1206×associate-*l/
990×associate-/r*
816×associate-/l*
286×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01344
127438
2365938
Stop Event
node limit
Counts
2 → 114
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) x)
(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (/.f64 1 (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(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)))))))
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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simplify121.0ms (1%)

Algorithm
egg-herbie
Rules
1254×associate-+r+
1110×associate-*r/
864×+-commutative
746×associate-*l/
734×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03138704
18388224
242518128
Stop Event
node limit
Counts
154 → 203
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -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 (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 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))
(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 (*.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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.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 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 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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
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(+.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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.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))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.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))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.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))) (+.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))) (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))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.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))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.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))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.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))) (+.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))) (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))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.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 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.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 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.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 (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))) (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 (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.f64 (cos.f64 y) x) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.f64 (cos.f64 y) x) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.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 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 (*.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 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.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 (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 (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 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(*.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
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(*.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (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 (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 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.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))) (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.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 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.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) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (/.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) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (neg.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (*.f64 1 (neg.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 1 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) 1) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (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 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.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)
(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 (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 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 (*.f64 x y) y) x)))
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 x (*.f64 y y)) x) (*.f64 y z))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x y) y) 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 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 y z))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x y) y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 y z))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
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(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.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))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6) (*.f64 (pow.f64 (*.f64 x (cos.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 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 6))) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 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)))
(/.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)))))))
(/.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 (*.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)) (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)
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(-.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))))))
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(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 (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 (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)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.4b
(-.f64 (+.f64 1 x) 1)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series7.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(-.f64 (+.f64 1 x) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 x) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 x) 1)

rewrite81.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1320×add-sqr-sqrt
1304×*-un-lft-identity
1228×add-cube-cbrt
1220×add-cbrt-cube
1212×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11351
218821
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 1 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)))))

simplify93.0ms (0.8%)

Algorithm
egg-herbie
Rules
1410×distribute-lft-in
1220×fma-def
1198×distribute-rgt-in
640×associate-+r+
542×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090421
1228379
21277363
Stop Event
node limit
Counts
49 → 45
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 (+.f64 x -1) 1)
(+.f64 -1 (+.f64 1 x))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 (+.f64 x -1) 1)
x
(+.f64 -1 (+.f64 1 x))
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
x
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (-.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
0.1b
(/.f64 1 (sin.f64 y))
0.3b
(/.f64 z (/.f64 1 (sin.f64 y)))
Compiler

Compiled 27 to 14 computations (48.1% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite80.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1542×associate-*r/
1072×*-commutative
978×associate-/r*
902×associate-*l/
764×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
123317
2315017
Stop Event
node limit
Counts
1 → 109
Calls
Call 1
Inputs
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (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 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (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 (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (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 (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 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simplify98.0ms (0.8%)

Algorithm
egg-herbie
Rules
1596×associate-*r/
1144×associate-*l/
1024×associate-+l+
972×associate-+r+
884×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03007831
19037127
243746999
Stop Event
node limit
Counts
145 → 194
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
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(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
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(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) x)
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
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(+.f64 (-.f64 x (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(*.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(*.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (+.f64 x (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (+.f64 x (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(fma.f64 (neg.f64 y) z x)
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
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(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)) 2) (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (+.f64 (*.f64 z (sin.f64 y)) x)) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (+.f64 (*.f64 z (sin.f64 y)) x)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 x 4))) (fma.f64 z (sin.f64 y) x))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x))))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 6))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (-.f64 x (*.f64 z (sin.f64 y))))
(fabs.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.2b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
7.2b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 34 to 12 computations (64.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
0.2b
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
Compiler

Compiled 50 to 12 computations (76% saved)

series17.0ms (0.1%)

Counts
2 → 40
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
2.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
2.0ms
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
z
@inf
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)

rewrite123.0ms (1.1%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 z)) (*.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 (sin.f64 y) (neg.f64 z)) (*.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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y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))))

simplify143.0ms (1.2%)

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)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))
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(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
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(/.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)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))) (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (*.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))))
(fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) 0) (*.f64 x x) (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) 0) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) 0) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (*.f64 z z) x) (*.f64 x -1/2)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (*.f64 y y) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (*.f64 x -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/2 x)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (/.f64 x z)))) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (*.f64 z z) x) (*.f64 x -1/2)) (pow.f64 (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (*.f64 y y) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 (pow.f64 y 3) (fma.f64 -1 (fma.f64 -1/6 z (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (/.f64 x z)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (/.f64 x z)))) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 z (/.f64 x z)) (*.f64 x -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) 2)) (*.f64 y y) x)))
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(/.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))))

eval375.0ms (3.2%)

Compiler

Compiled 31314 to 10201 computations (67.4% saved)

prune378.0ms (3.2%)

Pruning

39 alts after pruning (30 fresh and 9 done)

PrunedKeptTotal
New1221121233
Fresh41822
Picked101
Done1910
Total1227391266
Error
0b
Counts
1266 → 39
Alt Table
Click to see full alt table
StatusErrorProgram
16.4b
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
0.1b
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
45.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.3b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
54.6b
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
46.7b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
31.8b
(/.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 2))
36.8b
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
26.2b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
39.0b
(/.f64 1 (/.f64 1 x))
41.5b
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
39.6b
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
28.1b
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))
18.3b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
22.6b
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
0.3b
(-.f64 (/.f64 x (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
18.2b
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
46.9b
(-.f64 (+.f64 1 x) 1)
31.2b
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
0.2b
(-.f64 (*.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1))
30.9b
(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) -2)))
0.2b
(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (/.f64 1 (sin.f64 y))))
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
36.7b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
33.2b
(-.f64 x (/.f64 z (pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)))
38.5b
(-.f64 x (/.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) -2)))
14.0b
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
32.0b
(-.f64 x (/.f64 z (/.f64 1 y)))
31.2b
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
18.4b
(-.f64 x (/.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))))
13.9b
(-.f64 x (*.f64 z (sin.f64 y)))
32.0b
(-.f64 x (*.f64 y z))
46.8b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
36.7b
(*.f64 (sin.f64 y) (neg.f64 z))
26.1b
(*.f64 (cos.f64 y) x)
53.4b
(sqrt.f64 (*.f64 x x))
48.6b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
48.6b
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
39.0b
x
Compiler

Compiled 515 to 374 computations (27.4% saved)

regimes193.0ms (1.7%)

Counts
64 → 1
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 x (/.f64 z (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(-.f64 x (/.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) -2)))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 x (/.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)))))
(-.f64 x (/.f64 z (pow.f64 (/.f64 1 (pow.f64 (sin.f64 y) 3)) 1/3)))
(-.f64 (*.f64 (cos.f64 y) x) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 z z) (/.f64 z (neg.f64 (sin.f64 y)))))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) -1))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(-.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(-.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))
(-.f64 (*.f64 (cos.f64 y) x) (/.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) -2)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) -2)))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (/.f64 x (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 y))))) (/.f64 z (/.f64 1 (sin.f64 y))))
(/.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) 2))
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (pow.f64 z 3) (neg.f64 (sin.f64 y))) (*.f64 z z)))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3))
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)))
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -1/2) -1))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.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 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(*.f64 (*.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 (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 (/.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 (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)))))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

65.0ms
z
56.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
28.0ms
x
27.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 980 to 384 computations (60.8% saved)

regimes206.0ms (1.8%)

Counts
21 → 3
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 x (/.f64 z (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
Outputs
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
Calls

3 calls:

94.0ms
y
80.0ms
z
28.0ms
x
Results
ErrorSegmentsBranch
6.9b3x
9.3b7y
7.9b3z
Compiler

Compiled 185 to 111 computations (40% saved)

bsearch61.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
39.0ms
4.9275481375125714e+58
3.974852582593579e+66
22.0ms
-2.094882920555034e+62
-9.434752837746185e+61
Results
27.0ms58×body1024valid
20.0ms128×body256valid
11.0ms38×body512valid
Compiler

Compiled 438 to 321 computations (26.7% saved)

regimes194.0ms (1.7%)

Counts
20 → 3
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 x (/.f64 z (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (*.f64 z y))
Outputs
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

95.0ms
y
58.0ms
x
36.0ms
z
Results
ErrorSegmentsBranch
7.2b3x
9.4b7y
8.1b3z
Compiler

Compiled 169 to 101 computations (40.2% saved)

bsearch102.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
83.0ms
4.9275481375125714e+58
3.974852582593579e+66
19.0ms
-2.094882920555034e+62
-9.434752837746185e+61
Results
54.0ms45×body1024valid
37.0ms150×body256valid
8.0ms29×body512valid
Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes168.0ms (1.4%)

Counts
14 → 8
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 x (/.f64 z (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 y z))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Calls

3 calls:

70.0ms
y
55.0ms
x
39.0ms
z
Results
ErrorSegmentsBranch
14.4b3x
10.0b8y
16.1b3z
Compiler

Compiled 121 to 79 computations (34.7% saved)

bsearch364.0ms (3.1%)

Algorithm
binary-search
Steps
TimeLeftRight
54.0ms
5.28705930317056e+241
1.8611353014490786e+242
60.0ms
1.7731117323109002e+172
8.172008791612365e+173
21.0ms
1.1142588556398095e+38
5.0509171801110936e+38
25.0ms
5.733262515508204e-15
7.200604135160223e-12
26.0ms
-0.0004791257421409794
-1.4971640843912227e-8
50.0ms
-3.424656226966807e+127
-6.95840231027797e+126
129.0ms
-3.5175390757119464e+197
-4.4344541731356534e+191
Results
238.0ms336×body1024valid
67.0ms352×body256valid
49.0ms96×body512valid
Compiler

Compiled 859 to 642 computations (25.3% saved)

regimes151.0ms (1.3%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 x (/.f64 z (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 (cos.f64 y) x)
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

72.0ms
x
53.0ms
z
22.0ms
y
Results
ErrorSegmentsBranch
21.1b3x
18.4b3y
20.7b3z
Compiler

Compiled 116 to 76 computations (34.5% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
5.733262515508204e-15
7.200604135160223e-12
26.0ms
-137133047.12200513
-1.32336791004639
Results
59.0ms272×body256valid
Compiler

Compiled 409 to 302 computations (26.2% saved)

regimes26.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 x (/.f64 z (/.f64 1 y)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(sqrt.f64 (*.f64 x x))
Outputs
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
Calls

3 calls:

8.0ms
y
8.0ms
x
7.0ms
z
Results
ErrorSegmentsBranch
31.2b1x
31.2b1y
31.2b1z
Compiler

Compiled 112 to 74 computations (33.9% saved)

regimes43.0ms (0.4%)

Accuracy

Total -23.2b remaining (-72.4%)

Threshold costs -23.2b (-72.4%)

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

3 calls:

31.0ms
z
5.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
32.0b1x
32.0b1y
32.0b1z
Compiler

Compiled 58 to 40 computations (31% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative
24×*-commutative
14×sub-neg
12×neg-mul-1
12×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067442
1103438
2129438
3143434
4150434
5152434
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -134999999999999999589877882281812011802378939009538473588686848) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (<=.f64 x 209999999999999984019119564738194408093793066877209353912320) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (<=.f64 x -204999999999999991765234274959113689314976181431991769556320256) (*.f64 (cos.f64 y) x) (if (<=.f64 x 36000000000000001032432256106584441327263159295473035396513792) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -117999999999999997554520965847768925039918384394926277863662675702716958336775382115207226222560131811296969453135266859700298677397150764409222544259482403435990192443977364658116833872310836396032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144) (*.f64 (cos.f64 y) x) (if (<=.f64 y -4150517416584649/9223372036854775808) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 4456584141427369/618970019642690137449562112) (-.f64 x (*.f64 y z)) (if (<=.f64 y 335000000000000012292452136630223896576) (*.f64 (cos.f64 y) x) (if (<=.f64 y 470000000000000014836174732382593110355852220577278800364323562013566622652011659131117246321945990716749311883502544931862623271033786186948394128456754516757608796048588800) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 60000000000000003057661773822016368839131516411868199697857609859840645257384979910514545183334402130563948640090537665685079467964713251547095086281451564145786263294568889886628568808794714570826115369036713536464836806557714750365314842624) (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))))))
(if (<=.f64 y -3039929748475085/2251799813685248) (*.f64 (cos.f64 y) x) (if (<=.f64 y 4456584141427369/618970019642690137449562112) (-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (*.f64 (cos.f64 y) x)))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 x (*.f64 y z))
x
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -134999999999999999589877882281812011802378939009538473588686848) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (if (<=.f64 x 209999999999999984019119564738194408093793066877209353912320) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))))
(if (or (<=.f64 x -134999999999999999589877882281812011802378939009538473588686848) (not (<=.f64 x 209999999999999984019119564738194408093793066877209353912320))) (-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (-.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 x -204999999999999991765234274959113689314976181431991769556320256) (*.f64 (cos.f64 y) x) (if (<=.f64 x 36000000000000001032432256106584441327263159295473035396513792) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -204999999999999991765234274959113689314976181431991769556320256) (not (<=.f64 x 36000000000000001032432256106584441327263159295473035396513792))) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 y -117999999999999997554520965847768925039918384394926277863662675702716958336775382115207226222560131811296969453135266859700298677397150764409222544259482403435990192443977364658116833872310836396032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144) (*.f64 (cos.f64 y) x) (if (<=.f64 y -4150517416584649/9223372036854775808) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 4456584141427369/618970019642690137449562112) (-.f64 x (*.f64 y z)) (if (<=.f64 y 335000000000000012292452136630223896576) (*.f64 (cos.f64 y) x) (if (<=.f64 y 470000000000000014836174732382593110355852220577278800364323562013566622652011659131117246321945990716749311883502544931862623271033786186948394128456754516757608796048588800) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 60000000000000003057661773822016368839131516411868199697857609859840645257384979910514545183334402130563948640090537665685079467964713251547095086281451564145786263294568889886628568808794714570826115369036713536464836806557714750365314842624) (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))))))
(if (<=.f64 y -117999999999999997554520965847768925039918384394926277863662675702716958336775382115207226222560131811296969453135266859700298677397150764409222544259482403435990192443977364658116833872310836396032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144) (*.f64 x (cos.f64 y)) (if (<=.f64 y -4150517416584649/9223372036854775808) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 4456584141427369/618970019642690137449562112) (-.f64 x (*.f64 y z)) (if (<=.f64 y 335000000000000012292452136630223896576) (*.f64 x (cos.f64 y)) (if (or (<=.f64 y 470000000000000014836174732382593110355852220577278800364323562013566622652011659131117246321945990716749311883502544931862623271033786186948394128456754516757608796048588800) (not (<=.f64 y 60000000000000003057661773822016368839131516411868199697857609859840645257384979910514545183334402130563948640090537665685079467964713251547095086281451564145786263294568889886628568808794714570826115369036713536464836806557714750365314842624))) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))))))
(if (<=.f64 y -117999999999999997554520965847768925039918384394926277863662675702716958336775382115207226222560131811296969453135266859700298677397150764409222544259482403435990192443977364658116833872310836396032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144) (*.f64 x (cos.f64 y)) (if (<=.f64 y -4150517416584649/9223372036854775808) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 4456584141427369/618970019642690137449562112) (-.f64 x (*.f64 y z)) (if (or (<=.f64 y 335000000000000012292452136630223896576) (not (or (<=.f64 y 470000000000000014836174732382593110355852220577278800364323562013566622652011659131117246321945990716749311883502544931862623271033786186948394128456754516757608796048588800) (not (<=.f64 y 60000000000000003057661773822016368839131516411868199697857609859840645257384979910514545183334402130563948640090537665685079467964713251547095086281451564145786263294568889886628568808794714570826115369036713536464836806557714750365314842624))))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -117999999999999997554520965847768925039918384394926277863662675702716958336775382115207226222560131811296969453135266859700298677397150764409222544259482403435990192443977364658116833872310836396032) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y -16999999999999998873058672820404321308186162981709823596510524657962473124855103630315157001302840495452746889657341042852102144) (*.f64 x (cos.f64 y)) (if (<=.f64 y -4150517416584649/9223372036854775808) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y 4456584141427369/618970019642690137449562112) (-.f64 x (*.f64 y z)) (if (or (<=.f64 y 335000000000000012292452136630223896576) (and (not (<=.f64 y 470000000000000014836174732382593110355852220577278800364323562013566622652011659131117246321945990716749311883502544931862623271033786186948394128456754516757608796048588800)) (<=.f64 y 60000000000000003057661773822016368839131516411868199697857609859840645257384979910514545183334402130563948640090537665685079467964713251547095086281451564145786263294568889886628568808794714570826115369036713536464836806557714750365314842624))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -3039929748475085/2251799813685248) (*.f64 (cos.f64 y) x) (if (<=.f64 y 4456584141427369/618970019642690137449562112) (-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -3039929748475085/2251799813685248) (not (<=.f64 y 4456584141427369/618970019642690137449562112))) (*.f64 x (cos.f64 y)) (-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6)))))
(-.f64 x (/.f64 z (+.f64 (/.f64 1 y) (*.f64 y 1/6))))
(-.f64 x (*.f64 y z))
x
Compiler

Compiled 181 to 116 computations (35.9% saved)

soundness0.0ms (0%)

end119.0ms (1%)

Compiler

Compiled 160 to 80 computations (50% saved)

Profiling

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