Details

Time bar (total: 13.3s)

analyze244.0ms (1.8%)

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

Compiled 13 to 9 computations (30.8% saved)

sample3.2s (24.3%)

Results
1.4s2069×body1024valid
1.3s5126×body256valid
592.0ms1054×body512valid
5.0msbody2048valid
Bogosity

preprocess62.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 11 computations (26.7% saved)

simplify28.0ms (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
Accurracy
99.8%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize13.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

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

rewrite111.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
123354
2307954
Stop Event
node limit
Counts
4 → 241
Calls
Call 1
Inputs
(*.f64 x (cos.f64 y))
(*.f64 z (sin.f64 y))
(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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))) (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(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 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.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 log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 z (sin.f64 y)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 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y))) (*.f64 (*.f64 z (sin.f64 y)) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z (sin.f64 y)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (*.f64 x (cos.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 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simplify163.0ms (1.2%)

Algorithm
egg-herbie
Rules
1930×associate-+l+
1156×fma-def
1068×+-commutative
778×associate-*r*
768×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059512041
1168811531
2772711531
Stop Event
node limit
Counts
309 → 334
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)))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
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(/.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) 3))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 0) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
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(/.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))
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(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)))

eval92.0ms (0.7%)

Compiler

Compiled 9339 to 2597 computations (72.2% saved)

prune78.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New31519334
Fresh000
Picked011
Done000
Total31520335
Accurracy
100.0%
Counts
335 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
36.4%
(/.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))
52.4%
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
17.7%
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))))
51.8%
(/.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)))))
99.6%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
98.6%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
60.4%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
51.3%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
71.2%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
72.5%
(-.f64 x (*.f64 z (sin.f64 y)))
51.9%
(-.f64 x (*.f64 y z))
99.6%
(+.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)))))
45.9%
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
52.3%
(*.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)))
38.6%
(*.f64 (sin.f64 y) (neg.f64 z))
37.1%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
Compiler

Compiled 822 to 468 computations (43.1% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
99.8%
(log1p.f64 (expm1.f64 (sin.f64 y)))
99.8%
(*.f64 x (cos.f64 y))
99.8%
(expm1.f64 (sin.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series1.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(expm1.f64 (sin.f64 y))
0.0ms
y
@inf
(expm1.f64 (sin.f64 y))
0.0ms
y
@-inf
(expm1.f64 (sin.f64 y))
0.0ms
y
@0
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
0.0ms
y
@0
(log1p.f64 (expm1.f64 (sin.f64 y)))

rewrite58.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
117225
2181425
Stop Event
node limit
Counts
3 → 48
Calls
Call 1
Inputs
(expm1.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (*.f64 (exp.f64 (sin.f64 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.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 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(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 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.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 -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 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 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify75.0ms (0.6%)

Algorithm
egg-herbie
Rules
974×associate-/l*
954×unswap-sqr
852×fma-def
754×associate-/r*
586×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441116
13401088
214571058
350041058
Stop Event
node limit
Counts
96 → 92
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(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 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 (exp.f64 (sin.f64 y)) -1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(*.f64 1 (expm1.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (*.f64 (exp.f64 (sin.f64 y)) 1))))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (*.f64 1/2 (*.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (*.f64 1/2 (*.f64 y y))))
(+.f64 y (fma.f64 1/2 (*.f64 y y) (*.f64 -1/8 (pow.f64 y 4))))
(fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y))
(+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/2) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 (fma.f64 y (*.f64 y 1/2) y) (fma.f64 -1/8 (pow.f64 y 4) (*.f64 -1/15 (pow.f64 y 5))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) 1/120 y))
(fma.f64 (pow.f64 y 5) 1/120 (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) 1/120 (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 (pow.f64 y 5) 1/120 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) 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))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 z (fma.f64 (pow.f64 y 5) 1/120 y)))
(*.f64 z (fma.f64 (pow.f64 y 5) 1/120 (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.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 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(+.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 (pow.f64 y 5) 1/120))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) 1/120 (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (fma.f64 (pow.f64 y 5) 1/120 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(+.f64 (exp.f64 (sin.f64 y)) -1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(*.f64 1 (expm1.f64 (sin.f64 y)))
(expm1.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2))
(expm1.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 2) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) 1) (+.f64 (exp.f64 (sin.f64 y)) 1))
(expm1.f64 (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y))) (+.f64 1 (*.f64 (exp.f64 (sin.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (sin.f64 y) (sin.f64 y))) (+.f64 (exp.f64 (sin.f64 y)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 y)) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (exp.f64 (*.f64 2 (sin.f64 y))))))
(/.f64 (expm1.f64 (*.f64 (sin.f64 y) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 y)) 2))))
(/.f64 (expm1.f64 (*.f64 (sin.f64 y) 3)) (+.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (pow.f64 (exp.f64 2) (sin.f64 y)))))
(pow.f64 (expm1.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) 2)
(expm1.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) 3)
(expm1.f64 (sin.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3) 1/3)
(expm1.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 2))
(expm1.f64 (sin.f64 y))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) 3))
(expm1.f64 (sin.f64 y))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) 1))
(expm1.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite56.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify63.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize20.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 z (sin.f64 y))
99.8%
(*.f64 x (cos.f64 y))
99.7%
(/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
99.6%
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 52 to 15 computations (71.2% saved)

series6.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite117.0ms (0.9%)

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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simplify174.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

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

localize16.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 z (sin.f64 y))
99.8%
(*.f64 x (cos.f64 y))
99.1%
(cbrt.f64 (*.f64 x (cos.f64 y)))
98.8%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series15.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
2.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)

rewrite60.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify77.0ms (0.6%)

Algorithm
egg-herbie
Rules
1256×fma-def
870×*-commutative
744×distribute-lft-in
704×distribute-rgt-in
528×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02001809
15571765
219291665
357411613
Stop Event
node limit
Counts
81 → 95
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (pow.f64 (*.f64 x (cos.f64 y)) 1/6)) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(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 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1)
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(fma.f64 (*.f64 x -1/2) (*.f64 y y) x)
(fma.f64 x (*.f64 (*.f64 y y) -1/2) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 x (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)))))))
(+.f64 x (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 -1/2 (*.f64 y y)))))
(fma.f64 x (*.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x -1/72))) x))
(fma.f64 x (*.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) x))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(+.f64 x (fma.f64 (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) -1/9)) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216)))) (*.f64 -1/9 (*.f64 x -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))))))))
(+.f64 x (fma.f64 (+.f64 (fma.f64 1/3 (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (*.f64 x -1/24) -1/9)) (*.f64 (cbrt.f64 x) (+.f64 (*.f64 -1/6 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x))))) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (*.f64 x -1/24) (*.f64 (cbrt.f64 (/.f64 1 x)) -1/9)))))) (pow.f64 y 6) (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 x (*.f64 -1/2 (*.f64 y y))))))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 2/3 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216))) (*.f64 (*.f64 x -1/24) -1/9)))) (fma.f64 1/3 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) (*.f64 (*.f64 x -1/24) -1/9))) (pow.f64 y 6) (fma.f64 x (*.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 x 1/18 (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x -1/72))) x)))
(fma.f64 (fma.f64 (cbrt.f64 x) (fma.f64 -1/6 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 2/3 (*.f64 x -23/2160)) (*.f64 (*.f64 x -1/24) -1/9)))) (fma.f64 (*.f64 x -1/24) -1/9 (*.f64 1/3 (*.f64 x -23/2160)))) (pow.f64 y 6) (fma.f64 x (*.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) (fma.f64 (fma.f64 (*.f64 x -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/24)) x)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x))) (cbrt.f64 x))
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/24))) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)))) (cbrt.f64 x))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 y 4) (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 (*.f64 x x)))))))
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/72)) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/72)) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 -1/6 (*.f64 y y)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))))
(+.f64 (fma.f64 1/3 (*.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/3 (*.f64 x -1/24) (*.f64 x -1/216))) (*.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 y 4) (*.f64 x -1/24))) (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x))))) (cbrt.f64 x))
(+.f64 (*.f64 1/3 (+.f64 (*.f64 (-.f64 (*.f64 x -1/720) (fma.f64 x -1/216 (*.f64 x 1/72))) (*.f64 (pow.f64 y 6) (cbrt.f64 (/.f64 1 (*.f64 x x))))) (*.f64 (pow.f64 y 4) (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 (*.f64 x x))))))) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 x -11/720) (*.f64 x 1/216)) (pow.f64 y 6)) (*.f64 (pow.f64 y 4) (*.f64 x -1/24)))) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 x)) (cbrt.f64 x)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (*.f64 x -23/2160) (pow.f64 y 6)) (*.f64 (pow.f64 y 4) (*.f64 x -1/24)))) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 -1/6 (*.f64 y y)))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (cos.f64 y)) 1)
(*.f64 x (cos.f64 y))
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (pow.f64 (*.f64 x (cos.f64 y)) 1/6)) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 3))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 x (cos.f64 y))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) (pow.f64 (*.f64 x (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (cos.f64 y))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 x (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 1))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) 1/3))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))

localize25.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (cos.f64 y) x)
99.8%
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)
99.7%
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
38.2%
(/.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))
Compiler

Compiled 74 to 19 computations (74.3% saved)

series11.0ms (0.1%)

Counts
4 → 96
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)
1.0ms
y
@0
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
1.0ms
x
@-inf
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
1.0ms
x
@0
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
1.0ms
y
@-inf
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)

rewrite332.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1624×associate-/r*
1436×associate-/l*
1174×associate-/r/
344×associate-+l+
334×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016104
1353104
24346104
Stop Event
node limit
Counts
4 → 800
Calls
Call 1
Inputs
(/.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))
(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 (cos.f64 y) x)
Outputs
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simplify689.0ms (5.2%)

Algorithm
egg-herbie
Rules
1174×associate-+l+
992×associate-+r+
974×+-commutative
702×*-commutative
508×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0178097000
1543196996
Stop Event
node limit
Counts
896 → 1231
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(-.f64 (*.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))
(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))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2)))) y) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) x) (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) x)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) z)) (+.f64 (*.f64 (+.f64 (*.f64 z x) (*.f64 1/3 (*.f64 z x))) x) (*.f64 z (pow.f64 x 2)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2)))) y) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) x) (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) x)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (pow.f64 x 3))))
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(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) -1) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)) (+.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 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) (neg.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)) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (fma.f64 (cos.f64 y) x (*.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 (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 1 (-.f64 (*.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 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (+.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 z (sin.f64 y)) 2)) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 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)))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (/.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 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (/.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) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (+.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)))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.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)))))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(/.f64 (/.f64 (*.f64 (neg.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))) 3)) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) 1) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(exp.f64 (*.f64 2 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(-.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)))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.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)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(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))
(fma.f64 (*.f64 (*.f64 z (*.f64 x x)) -3) y (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2)))) y) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) x) (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) x)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 z (*.f64 x x)) -3) y (fma.f64 (fma.f64 (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x))) x (fma.f64 2 (*.f64 x (*.f64 z z)) (*.f64 -1/2 (pow.f64 x 3)))) (*.f64 y y) (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) z)) (+.f64 (*.f64 (+.f64 (*.f64 z x) (*.f64 1/3 (*.f64 z x))) x) (*.f64 z (pow.f64 x 2)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2)))) y) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) x) (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) x)) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 2)) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 3) (fma.f64 1/6 (*.f64 z (*.f64 x x)) (fma.f64 -1 (*.f64 z (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (fma.f64 (*.f64 4/3 (*.f64 x z)) x (*.f64 z (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 z (*.f64 x x)) -3) y (fma.f64 (fma.f64 (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x))) x (fma.f64 2 (*.f64 x (*.f64 z z)) (*.f64 -1/2 (pow.f64 x 3)))) (*.f64 y y) (pow.f64 x 3))))
(*.f64 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(+.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 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 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 z (*.f64 (cos.f64 y) (sin.f64 y)))))))) x (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(+.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 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (sin.f64 y)))) (*.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))) (pow.f64 x 2))))
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(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
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(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (cos.f64 y)) 3)
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(*.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 -1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))
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x
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(/.f64 (/.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 1 (-.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)) (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 (-.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))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (+.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 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (+.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 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 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)))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3) (/.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 (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 (-.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 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (-.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 (cos.f64 y) x (*.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 (-.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) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (+.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)))))) (fma.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)) (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (+.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 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.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)))))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(*.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) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))))
(/.f64 (/.f64 (*.f64 (neg.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))) 3)) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 6)) (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) 1) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (fma.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)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))) (+.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 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 (neg.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3)) (neg.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))) 4))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 6))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)
(exp.f64 (*.f64 2 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(pow.f64 (exp.f64 2) (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 1))
(pow.f64 (exp.f64 2) (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2)))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 (cos.f64 y) (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))

eval1.1s (8%)

Compiler

Compiled 82223 to 21514 computations (73.8% saved)

prune1.3s (9.6%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New2018182036
Fresh10414
Picked101
Done235
Total2031252056
Accurracy
100.0%
Counts
2056 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
97.8%
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) 3))
38.4%
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
63.1%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
36.9%
(/.f64 1 (/.f64 1 x))
29.9%
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
36.5%
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
36.4%
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))))
98.5%
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (*.f64 z (sin.f64 y)))
98.6%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
70.1%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 y z))
99.6%
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
98.6%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
50.9%
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
99.6%
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
51.3%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
55.9%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
72.5%
(-.f64 x (*.f64 z (sin.f64 y)))
51.9%
(-.f64 x (*.f64 y z))
38.6%
(*.f64 (sin.f64 y) (neg.f64 z))
63.3%
(*.f64 (cos.f64 y) x)
18.5%
(*.f64 z (neg.f64 y))
37.0%
x
Compiler

Compiled 625 to 447 computations (28.5% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
99.8%
(*.f64 x (cos.f64 y))
99.8%
(expm1.f64 (log1p.f64 (sin.f64 y)))
99.6%
(log1p.f64 (sin.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series44.0ms (0.3%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
30.0ms
y
@inf
(log1p.f64 (sin.f64 y))
14.0ms
y
@-inf
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(expm1.f64 (log1p.f64 (sin.f64 y)))
0.0ms
y
@0
(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))

rewrite58.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify82.0ms (0.6%)

Algorithm
egg-herbie
Rules
1102×fma-def
960×unswap-sqr
754×associate-*r/
670×+-commutative
616×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461106
13501082
214951052
354441052
Stop Event
node limit
Counts
96 → 89
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(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 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 (+.f64 1 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(*.f64 1 (log1p.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (+.f64 (sin.f64 y) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y -1/2) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) y) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/12 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 -1/12 (pow.f64 y 4) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/12 (pow.f64 y 4) y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 y z))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 y))
(*.f64 (fma.f64 (pow.f64 y 3) -1/6 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))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(+.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 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(+.f64 (*.f64 z (fma.f64 (pow.f64 y 3) -1/6 y)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(-.f64 (+.f64 1 (log1p.f64 (sin.f64 y))) 1)
(log1p.f64 (sin.f64 y))
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(*.f64 1 (log1p.f64 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(log1p.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(log1p.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(log1p.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(log1p.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(log1p.f64 (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (+.f64 (sin.f64 y) 1) 1))
(sin.f64 y)
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) -1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y)))))
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize20.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sin.f64 y)
99.8%
(*.f64 (sin.f64 y) (neg.f64 z))
Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116011
2198911
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify62.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

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

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 y z))
99.8%
(*.f64 x (cos.f64 y))
99.1%
(cbrt.f64 (*.f64 x (cos.f64 y)))
98.8%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 27
Calls

9 calls:

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

rewrite92.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1160×unswap-sqr
832×swap-sqr
592×distribute-rgt-in
546×distribute-lft-in
452×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
127623
2330823
Stop Event
node limit
Counts
1 → 138
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 y) z (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 y)))))))

simplify128.0ms (1%)

Algorithm
egg-herbie
Rules
1620×associate-*l/
1254×associate-+r+
1184×associate-+l+
900×+-commutative
876×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039010553
111019495
249549399
Stop Event
node limit
Counts
165 → 222
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 1 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 1 (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 1 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 1))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) 1))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) 1))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) 1))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) 1))
(+.f64 (*.f64 z (neg.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))
(+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))
(+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 y z)))) 1)
(*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 1)
(*.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))
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(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.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 y)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 -1 (*.f64 y z)))
(+.f64 x (neg.f64 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2))))
(+.f64 x (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 x -1/2) (*.f64 y y))))
(+.f64 x (fma.f64 (*.f64 x -1/2) (*.f64 y y) (*.f64 y (neg.f64 z))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))))
(+.f64 x (fma.f64 -1 (*.f64 y z) (fma.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 x -1/24)) (fma.f64 1/18 x (*.f64 (fma.f64 2/3 (*.f64 (*.f64 x -1/24) (cbrt.f64 (/.f64 1 x))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)))) (*.f64 (*.f64 x -1/2) (*.f64 y y)))))
(+.f64 x (-.f64 (fma.f64 (pow.f64 y 4) (fma.f64 1/3 (*.f64 x -1/24) (fma.f64 (fma.f64 2/3 (*.f64 x (*.f64 -1/24 (cbrt.f64 (/.f64 1 x)))) (*.f64 1/36 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (*.f64 x 1/18))) (*.f64 y (*.f64 y (*.f64 x -1/2)))) (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 1 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 y z))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(fma.f64 x (cos.f64 y) (+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 0 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(fma.f64 x (cos.f64 y) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 0 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 y z))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z))))
(fma.f64 x (cos.f64 y) (+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 0 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z))))
(fma.f64 x (cos.f64 y) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 0 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) (*.f64 2 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 2 (*.f64 0 (*.f64 y z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) (*.f64 2 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 2 (*.f64 0 (*.f64 y z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) (*.f64 2 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 2 (*.f64 0 (*.f64 y z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 0 (*.f64 y z))) (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 2 (*.f64 0 (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))
(+.f64 (fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (*.f64 0 (*.f64 y z)) (fma.f64 x (cos.f64 y) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 0 (*.f64 y z)))))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 2 (*.f64 0 (*.f64 y z)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) (*.f64 2 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 2 (*.f64 0 (*.f64 y z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 y) z (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) (*.f64 2 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 2 (*.f64 0 (*.f64 y z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) (*.f64 2 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 2 (*.f64 0 (*.f64 y z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z)))) (*.f64 0 (*.f64 y z))) (fma.f64 x (cos.f64 y) (*.f64 0 (*.f64 y z))))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 2 (*.f64 0 (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z))))
(+.f64 (fma.f64 z (neg.f64 y) (fma.f64 x (cos.f64 y) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (*.f64 0 (*.f64 y z)) (fma.f64 x (cos.f64 y) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (*.f64 0 (*.f64 y z)))))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 2 (*.f64 0 (*.f64 y z)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) (*.f64 2 (fma.f64 (neg.f64 z) y (*.f64 y z))))
(fma.f64 2 (*.f64 0 (*.f64 y z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))) 2) (/.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z)))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))) 2) (cbrt.f64 (fma.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 3))) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 y z)))) (+.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) 3))) (*.f64 y (*.f64 z (pow.f64 (*.f64 y z) 3)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (pow.f64 (*.f64 y z) 4)) (fma.f64 x (cos.f64 y) (*.f64 y z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 y z) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 y z)))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 y z) 2) (+.f64 (pow.f64 (*.f64 y z) 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 y z) 2) 3)) (fma.f64 x (cos.f64 y) (*.f64 y z))) (fma.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3) (*.f64 (pow.f64 (*.f64 y z) 2) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 y z) 6)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) (fma.f64 (pow.f64 (*.f64 y z) 2) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) (pow.f64 (*.f64 x (cos.f64 y)) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 y z) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (pow.f64 (*.f64 y z) 6)) (*.f64 (fma.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 y z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 y z) 3) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 y z) 3) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z)))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 6) (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (pow.f64 (*.f64 y z) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 y z) 3) 3)) (*.f64 (fma.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))) (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 y z) 3) (pow.f64 (*.f64 y z) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) 1) (fma.f64 x (cos.f64 y) (*.f64 y z)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) 1) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 1)
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2)
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 3)
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 3) 1/3)
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))
(neg.f64 (*.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 x (cos.f64 y) (*.f64 y z))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 y z))) 2))
(fabs.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 3))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 1))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))

localize25.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.7%
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)
99.6%
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))))
99.5%
(/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
40.0%
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)))
Compiler

Compiled 83 to 28 computations (66.3% saved)

series17.0ms (0.1%)

Counts
3 → 100
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
2.0ms
x
@-inf
(/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
2.0ms
x
@inf
(/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
2.0ms
y
@0
(/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
2.0ms
z
@0
(/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))

rewrite148.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1502×associate-*l/
680×associate-/r*
376×associate-/r/
374×associate-/l*
364×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017105
136693
2457893
Stop Event
node limit
Counts
3 → 362
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3)))
(/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))))
Outputs
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simplify281.0ms (2.1%)

Algorithm
egg-herbie
Rules
1546×associate-/r*
1256×+-commutative
970×associate-+l+
904×associate-+r+
888×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0120743160
1394142836
Stop Event
node limit
Counts
462 → 632
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x)) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 x 2))) (*.f64 1/6 (/.f64 z (pow.f64 x 2))))) (pow.f64 y 3))))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 4))) (*.f64 -2 (/.f64 z (pow.f64 x 4)))))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 4))) (*.f64 -2 (/.f64 z (pow.f64 x 4)))))) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 x 5))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 4))) (*.f64 -2 (/.f64 z (pow.f64 x 4)))) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2))))) (pow.f64 x 3)))))))))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 4))) (*.f64 -2 (/.f64 z (pow.f64 x 4)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 z (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 z (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 4))) (*.f64 -2 (/.f64 z (pow.f64 x 4))))) (pow.f64 x 3))) (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 x 5)))))) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2))))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 z (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) z) (pow.f64 x 6))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) x) (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) x)) (*.f64 -1/2 (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 4))) (*.f64 -2 (/.f64 z (pow.f64 x 4))))) (pow.f64 x 3)))))))) (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 y 2) (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 x 5))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 4))) (*.f64 -2 (/.f64 z (pow.f64 x 4)))) (+.f64 (*.f64 -1 (*.f64 z (pow.f64 x 2))) (*.f64 -2 (*.f64 z (pow.f64 x 2))))) (pow.f64 x 3))))))))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (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 (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) 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) (+.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)))))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (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) (+.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 (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 (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) (+.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 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) 1)))
(-.f64 (/.f64 (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) (+.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)))))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (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) (+.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)))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (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) (+.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)))))) (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 (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) (+.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)))))) (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 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) (-.f64 (*.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) 0) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))) 1)
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) 1)
(-.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (/.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 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (/.f64 (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 (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 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)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.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 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 -1 (cbrt.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -1))
(*.f64 -1 (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -1) -1)
(*.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 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.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 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -6))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1) (sqrt.f64 (-.f64 (*.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 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.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 (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 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (cos.f64 y) (*.f64 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 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (*.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) 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 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (*.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) 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) 1) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -3) -1/3)
(pow.f64 (/.f64 1 (-.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)
(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))
(exp.f64 (*.f64 (neg.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 1 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (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)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.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 (sin.f64 y) (neg.f64 z)))
Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z)))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2))))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
(+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (*.f64 y z) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x)) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 x 2))) (*.f64 1/6 (/.f64 z (pow.f64 x 2))))) (pow.f64 y 3))))))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 z (/.f64 x (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))))) (*.f64 (/.f64 z (*.f64 x x)) -1/3)) (pow.f64 y 3)))))
(+.f64 (fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z)))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 z (/.f64 x (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))))) (/.f64 (*.f64 z -1/3) (*.f64 x x))) (pow.f64 y 3))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.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 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 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 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 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 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 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 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 z) (sin.f64 y))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
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(*.f64 (-.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 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) -1))
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) -2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -6))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -6)))) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1) (sqrt.f64 (-.f64 (*.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 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.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 (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 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (cos.f64 y) (*.f64 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 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cos.f64 y) (*.f64 (*.f64 x 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 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (*.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) 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)) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (fma.f64 (cos.f64 y) x (*.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 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (*.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) 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)) 4) (*.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) 1) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -3) -1/6) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) -3) -1/6))
(pow.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) -1)
(/.f64 1 (/.f64 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)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 3))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 1))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) -1))
(/.f64 1 (/.f64 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 1 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 1 (-.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 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 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 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (cbrt.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 (fma.f64 (cos.f64 y) x (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.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 (sin.f64 y) (neg.f64 z)))
(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)))

eval712.0ms (5.4%)

Compiler

Compiled 60433 to 21059 computations (65.2% saved)

prune615.0ms (4.6%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New1519101529
Fresh51217
Picked101
Done167
Total1526281554
Accurracy
100.0%
Counts
1554 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) -2)
46.5%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
97.7%
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3))
38.4%
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
38.5%
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
63.1%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
36.9%
(/.f64 1 (/.f64 1 x))
29.9%
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
36.5%
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
22.4%
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
70.1%
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (*.f64 y z))
98.6%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
70.1%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 y z))
99.6%
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
49.3%
(-.f64 (+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 y z))
70.1%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 y z))
36.7%
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
99.6%
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
55.9%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
72.5%
(-.f64 x (*.f64 z (sin.f64 y)))
51.9%
(-.f64 x (*.f64 y z))
38.6%
(*.f64 (sin.f64 y) (neg.f64 z))
38.6%
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
18.8%
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (neg.f64 z))
63.3%
(*.f64 (cos.f64 y) x)
18.5%
(*.f64 z (neg.f64 y))
37.0%
x
Compiler

Compiled 652 to 470 computations (27.9% saved)

localize76.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
99.8%
(*.f64 z (sin.f64 y))
99.8%
(*.f64 x (cos.f64 y))
18.2%
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
Compiler

Compiled 79 to 19 computations (75.9% saved)

series7.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
1.0ms
y
@-inf
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
1.0ms
z
@-inf
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
0.0ms
y
@inf
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
0.0ms
x
@0
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))

rewrite212.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1402×associate-*r/
714×associate-+l+
400×associate-+r+
392×add-sqr-sqrt
380×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01792
137172
2515372
Stop Event
node limit
Counts
2 → 203
Calls
Call 1
Inputs
(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)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
Outputs
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(+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z 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(*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))))

simplify98.0ms (0.7%)

Algorithm
egg-herbie
Rules
1336×fma-def
1154×associate-+l+
1008×associate-+r+
644×+-commutative
604×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05143489
114423489
Stop Event
node limit
Counts
263 → 224
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(-.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 z) z)) z) y) x)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 z) z)) z) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 z) z)) z) y) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 -1/6 z)) (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y)))))
(+.f64 (*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y))))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y))))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y))))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(+.f64 0 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))) 1)
(-.f64 0 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(-.f64 (-.f64 0 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))
(*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))
(*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)
(*.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2) (neg.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 -1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))
(pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3) 1/3)
(neg.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))
(log.f64 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(log.f64 (/.f64 1 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (+.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2) (fma.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2 (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) (*.f64 x (cos.f64 y))))
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(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(fma.f64 (cos.f64 y) x (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
Outputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(-.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
x
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 z) z)) z) y) x)
(fma.f64 (-.f64 (*.f64 (*.f64 0 z) 2) z) y x)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 z) z)) z) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 (-.f64 (*.f64 (*.f64 0 z) 2) z) y (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 z) z)) z) y) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 -1/6 z)) (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 (-.f64 (*.f64 (*.f64 0 z) 2) z) y (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (sin.f64 y)) z) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y))))) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y))))) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 -1 (*.f64 z (-.f64 (*.f64 2 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y))) (*.f64 -1 (sin.f64 y))))) (*.f64 (cos.f64 y) x))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(*.f64 (*.f64 0 z) y)
(+.f64 0 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (*.f64 0 z) y)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))) 1)
(*.f64 (*.f64 0 z) y)
(-.f64 0 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (*.f64 0 z) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(*.f64 (*.f64 0 z) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 1)
(*.f64 (*.f64 0 z) y)
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(*.f64 (*.f64 0 z) y)
(-.f64 (-.f64 0 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))
(*.f64 (*.f64 0 z) y)
(*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)
(*.f64 (*.f64 0 z) y)
(*.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (*.f64 0 z) y)
(*.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(*.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (*.f64 0 z) y)
(*.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2))
(*.f64 (*.f64 0 z) y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2) (neg.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (*.f64 0 z) y)
(*.f64 -1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (*.f64 0 z) y)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(*.f64 (*.f64 0 z) y)
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))
(*.f64 (*.f64 0 z) y)
(pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)
(*.f64 (*.f64 0 z) y)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)
(*.f64 (*.f64 0 z) y)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3)
(*.f64 (*.f64 0 z) y)
(pow.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3) 1/3)
(*.f64 (*.f64 0 z) y)
(neg.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (*.f64 0 z) y)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))
(*.f64 (*.f64 0 z) y)
(log.f64 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(log.f64 (/.f64 1 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (*.f64 0 z) y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (*.f64 0 z) y)
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3))
(*.f64 (*.f64 0 z) y)
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(exp.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1))
(*.f64 (*.f64 0 z) y)
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 0 z) y)
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2) (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 0 z) y)
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(*.f64 (*.f64 0 z) y)
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) 3)) 1) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 4 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))) (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) 3))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2) 3) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) 3))) (+.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (-.f64 (*.f64 4 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))))
(*.f64 (*.f64 0 z) y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))))
(*.f64 (*.f64 0 z) y)
(pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 1)
(*.f64 (*.f64 0 z) y)
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))) 2)
(*.f64 (*.f64 0 z) y)
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))) 3)
(*.f64 (*.f64 0 z) y)
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 3) 1/3)
(*.f64 (*.f64 0 z) y)
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 2))
(*.f64 (*.f64 0 z) y)
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(*.f64 (*.f64 0 z) y)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))))
(*.f64 (*.f64 0 z) y)
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))) 3))
(*.f64 (*.f64 0 z) y)
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(*.f64 (*.f64 0 z) y)
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(*.f64 (*.f64 0 z) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))) 1))
(*.f64 (*.f64 0 z) y)
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))))
(*.f64 (*.f64 0 z) y)
(fma.f64 x (cos.f64 y) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(*.f64 (*.f64 0 z) y)
(fma.f64 (cos.f64 y) x (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(*.f64 (*.f64 0 z) y)
(fma.f64 1 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(*.f64 (*.f64 0 z) y)
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(*.f64 (*.f64 0 z) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)))
(*.f64 (*.f64 0 z) y)

localize50.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.7%
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify71.0ms (0.5%)

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 Accuracy

Found 2 expressions with local accuracy:

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

Compiled 18 to 6 computations (66.7% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sin.f64 y)
99.9%
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (neg.f64 z))
99.4%
(log.f64 (sin.f64 y))
97.7%
(exp.f64 (log.f64 (sin.f64 y)))
Compiler

Compiled 23 to 8 computations (65.2% saved)

series56.0ms (0.4%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
30.0ms
y
@inf
(log.f64 (sin.f64 y))
25.0ms
y
@-inf
(log.f64 (sin.f64 y))
0.0ms
y
@0
(log.f64 (sin.f64 y))
0.0ms
y
@0
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (neg.f64 z))
0.0ms
y
@0
(exp.f64 (log.f64 (sin.f64 y)))

rewrite63.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1488×add-sqr-sqrt
1476×*-un-lft-identity
1362×add-cube-cbrt
1342×add-cbrt-cube
1324×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
118925
2218025
Stop Event
node limit
Counts
3 → 53
Calls
Call 1
Inputs
(exp.f64 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))))) (#(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 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sin.f64 y))) (sqrt.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2) (cbrt.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sin.f64 y) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify78.0ms (0.6%)

Algorithm
egg-herbie
Rules
970×fma-def
962×unswap-sqr
614×associate-*r/
576×associate-/l*
540×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521297
13511201
215771103
352031103
Stop Event
node limit
Counts
93 → 97
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(log.f64 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 0 (log.f64 (sin.f64 y)))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (log.f64 (cbrt.f64 (sin.f64 y))))
(-.f64 (+.f64 1 (log.f64 (sin.f64 y))) 1)
(*.f64 (log.f64 (sin.f64 y)) 1)
(*.f64 1 (log.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 y))) (sqrt.f64 (log.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2) (cbrt.f64 (log.f64 (sin.f64 y))))
(pow.f64 (log.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (-.f64 (sin.f64 y) 1))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(log.f64 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (log.f64 y))
(fma.f64 -1/6 (*.f64 y y) (log.f64 y))
(fma.f64 y (*.f64 y -1/6) (log.f64 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (log.f64 y)) (*.f64 -1/180 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y)))
(+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/2835 (pow.f64 y 6)) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (+.f64 (log.f64 y) (*.f64 -1/180 (pow.f64 y 4)))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/2835 (pow.f64 y 6) (fma.f64 -1/180 (pow.f64 y 4) (log.f64 y))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/180 (pow.f64 y 4) (fma.f64 -1/2835 (pow.f64 y 6) (log.f64 y))))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 3) 1/6)))
(*.f64 z (fma.f64 (pow.f64 y 3) 1/6 (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 (pow.f64 y 5) z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(-.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 3) 1/6) (*.f64 (pow.f64 y 5) -1/120))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 (pow.f64 y 3) 1/6 (*.f64 (pow.f64 y 5) -1/120)) 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 (pow.f64 y 7) z) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 (pow.f64 y 5) z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 (pow.f64 y 7) z) (-.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 3) 1/6) (*.f64 (pow.f64 y 5) -1/120))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 (pow.f64 y 3) 1/6 (*.f64 (pow.f64 y 5) -1/120)) (-.f64 (*.f64 (pow.f64 y 7) 1/5040) y)))
(*.f64 z (+.f64 (-.f64 (*.f64 (pow.f64 y 7) 1/5040) y) (fma.f64 (pow.f64 y 3) 1/6 (*.f64 (pow.f64 y 5) -1/120))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(sin.f64 y)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 y)))) (sqrt.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2)) (cbrt.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(+.f64 0 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (log.f64 (cbrt.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(-.f64 (+.f64 1 (log.f64 (sin.f64 y))) 1)
(log.f64 (sin.f64 y))
(*.f64 (log.f64 (sin.f64 y)) 1)
(log.f64 (sin.f64 y))
(*.f64 1 (log.f64 (sin.f64 y)))
(log.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 y))) (sqrt.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2))
(log.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 2) (cbrt.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(pow.f64 (log.f64 (sin.f64 y)) 1)
(log.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 y))) 2)
(log.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 y))) 3)
(log.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log.f64 (sin.f64 y)) 3) 1/3)
(log.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 2))
(log.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 y)) 3))
(log.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(exp.f64 (log.f64 (log.f64 (sin.f64 y))))
(log.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log.f64 (sin.f64 y))) 1))
(log.f64 (sin.f64 y))
(log1p.f64 (-.f64 (sin.f64 y) 1))
(log1p.f64 (+.f64 (sin.f64 y) -1))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) -1)
(+.f64 (*.f64 (sin.f64 y) z) 0)
(*.f64 (sin.f64 y) z)

localize17.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
99.5%
(cbrt.f64 (cos.f64 y))
99.0%
(cbrt.f64 x)
98.8%
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts
4 → 36
Calls

18 calls:

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

rewrite76.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1920×add-sqr-sqrt
1890×*-un-lft-identity
1774×add-cube-cbrt
1752×add-cbrt-cube
202×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
122240
2252840
Stop Event
node limit
Counts
4 → 86
Calls
Call 1
Inputs
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3)
(cbrt.f64 x)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))))

simplify90.0ms (0.7%)

Algorithm
egg-herbie
Rules
810×associate-/r*
742×associate-+r+
666×associate-*r*
662×associate-+l+
520×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02572076
16612020
229451940
362731940
Stop Event
node limit
Counts
122 → 131
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3)))))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 1 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 1 1/3) x)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (*.f64 1 x) 1/3))))))))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/3 (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))) (*.f64 -1/216 x))) (pow.f64 y 6)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (*.f64 1/12 x))))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (cos.f64 y) x)
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 1 (*.f64 (cos.f64 y) x))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
Outputs
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) x)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) x))) (pow.f64 y 2)))
(+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y)))
(fma.f64 (*.f64 x -1/2) (*.f64 y y) x)
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(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 2)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 3)
(cbrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(cbrt.f64 (*.f64 (cos.f64 y) x))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))) 1))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (*.f64 x (cos.f64 y)))

eval252.0ms (1.9%)

Compiler

Compiled 16442 to 6254 computations (62% saved)

prune195.0ms (1.5%)

Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New6674671
Fresh01717
Picked011
Done2810
Total66930699
Accurracy
100.0%
Counts
699 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) -2)
46.5%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
97.7%
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3))
38.4%
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
38.5%
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
63.1%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
36.9%
(/.f64 1 (/.f64 1 x))
29.9%
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (*.f64 x x) z))))
36.5%
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
22.4%
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
70.1%
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (*.f64 y z))
98.6%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
70.1%
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 y z))
99.6%
(-.f64 (/.f64 x (/.f64 1 (cos.f64 y))) (/.f64 z (/.f64 1 (sin.f64 y))))
49.3%
(-.f64 (+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 y z))
27.3%
(-.f64 (+.f64 1 x) 1)
70.1%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 y z))
36.7%
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
55.9%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
72.3%
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
72.5%
(-.f64 x (*.f64 z (sin.f64 y)))
51.9%
(-.f64 x (*.f64 y z))
23.4%
(*.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (neg.f64 z))
38.6%
(*.f64 (sin.f64 y) (neg.f64 z))
38.6%
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
63.3%
(*.f64 (cos.f64 y) x)
18.5%
(*.f64 z (neg.f64 y))
9.4%
(sqrt.f64 (*.f64 x x))
37.0%
x
Compiler

Compiled 374 to 271 computations (27.5% saved)

regimes107.0ms (0.8%)

Counts
52 → 1
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 y z))
(/.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))))
(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 (*.f64 x (cos.f64 y)) (*.f64 z y))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 -1 (sin.f64 y)) z))
(*.f64 (+.f64 1 (-.f64 (sin.f64 y) 1)) (neg.f64 z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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)))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (neg.f64 z))
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 y z))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (cos.f64 y)) 3))))
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (exp.f64 (log.f64 (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 3))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 z (sin.f64 y)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (*.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))
(-.f64 (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 y z))
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) -2)
(/.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 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) 3))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x)) 3) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (pow.f64 (-.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 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (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 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

25.0ms
z
23.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
23.0ms
x
23.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 732 to 262 computations (64.2% saved)

regimes192.0ms (1.4%)

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

3 calls:

118.0ms
y
39.0ms
z
30.0ms
x
Results
AccuracySegmentsBranch
88.3%3x
83.9%6y
88.0%5z
Compiler

Compiled 134 to 76 computations (43.3% saved)

bsearch67.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
692585469738082.8
20645765563633056.0
36.0ms
-23320238307.5284
-950070.5292100254
Results
27.0ms57×body1024valid
26.0ms149×body256valid
10.0ms34×body512valid
Compiler

Compiled 316 to 222 computations (29.7% saved)

regimes108.0ms (0.8%)

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

3 calls:

48.0ms
y
31.0ms
z
25.0ms
x
Results
AccuracySegmentsBranch
88.2%3x
83.6%7y
88.0%5z
Compiler

Compiled 93 to 54 computations (41.9% saved)

bsearch85.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
4.715110153683833e-33
3.2483812213754484e-32
46.0ms
-23320238307.5284
-950070.5292100254
Results
41.0ms61×body1024valid
33.0ms134×body256valid
8.0ms29×body512valid
Compiler

Compiled 270 to 195 computations (27.8% saved)

regimes93.0ms (0.7%)

Counts
11 → 5
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 y z))
(/.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))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

35.0ms
x
31.0ms
y
25.0ms
z
Results
AccuracySegmentsBranch
81.5%5x
80.7%5y
78.0%3z
Compiler

Compiled 87 to 52 computations (40.2% saved)

bsearch154.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
4.715110153683833e-33
3.2483812213754484e-32
37.0ms
3.024510138600176e-94
2.699349231468354e-86
42.0ms
1.8684514315546303e-146
6.35237492064093e-140
42.0ms
-4.03112395320089e-57
-6.251546587200942e-72
Results
60.0ms118×body1024valid
60.0ms349×body256valid
22.0ms77×body512valid
Compiler

Compiled 596 to 455 computations (23.7% saved)

regimes60.0ms (0.5%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x (*.f64 (*.f64 x -1/2) (*.f64 y y))) (*.f64 y z))
(/.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))))
(sqrt.f64 (*.f64 x x))
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 (cos.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

24.0ms
x
17.0ms
z
17.0ms
y
Results
AccuracySegmentsBranch
74.3%3x
78.7%3y
71.9%3z
Compiler

Compiled 82 to 49 computations (40.2% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
2.5197248589929082e-9
0.021808980041304486
36.0ms
-9.979834297535455e+22
-3.099161896319412e-17
Results
60.0ms336×body256valid
Compiler

Compiled 375 to 265 computations (29.3% saved)

regimes20.0ms (0.1%)

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

3 calls:

7.0ms
x
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
51.9%1x
51.9%1y
51.9%1z
Compiler

Compiled 78 to 47 computations (39.7% saved)

regimes29.0ms (0.2%)

Accuracy

Total -25.1b remaining (-67.9%)

Threshold costs -25.1b (-67.9%)

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

3 calls:

10.0ms
y
10.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
42.1%3x
38.9%3y
40.1%2z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch272.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
209.0ms
1.8684514315546303e-146
6.35237492064093e-140
62.0ms
-4.03112395320089e-57
-6.251546587200942e-72
Results
198.0ms177×body256valid
57.0ms81×body1024valid
13.0ms46×body512valid
Compiler

Compiled 265 to 203 computations (23.4% saved)

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×*-commutative
20×+-commutative
12×if-if-or-not
12×cancel-sign-sub-inv
10×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060338
193330
2113326
3127322
4135322
5140322
6141322
7142322
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -23000000000) (*.f64 (cos.f64 y) x) (if (<=.f64 x 9000000000000000) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))))
(if (<=.f64 x -255000000) (*.f64 (cos.f64 y) x) (if (<=.f64 x 959110449498405/45671926166590716193865151022383844364247891968) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 x -2667849736027765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (*.f64 (cos.f64 y) x) (if (<=.f64 x 1475931496928081/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 x 1247663247098599/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 (cos.f64 y) x) (if (<=.f64 x 2228789996929627/182687704666362864775460604089535377456991567872) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y -8116567392432203/18446744073709551616) (*.f64 (cos.f64 y) x) (if (<=.f64 y 4242751136953197/36893488147419103232) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -4594630100936707/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 2306572013803885/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 z (neg.f64 y)) x))
x
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -23000000000) (*.f64 (cos.f64 y) x) (if (<=.f64 x 9000000000000000) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))))
(if (<=.f64 x -23000000000) (*.f64 x (cos.f64 y)) (if (<=.f64 x 9000000000000000) (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z))))
(if (<=.f64 x -255000000) (*.f64 (cos.f64 y) x) (if (<=.f64 x 959110449498405/45671926166590716193865151022383844364247891968) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -255000000) (not (<=.f64 x 959110449498405/45671926166590716193865151022383844364247891968))) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 x -2667849736027765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (*.f64 (cos.f64 y) x) (if (<=.f64 x 1475931496928081/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 x 1247663247098599/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 (cos.f64 y) x) (if (<=.f64 x 2228789996929627/182687704666362864775460604089535377456991567872) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 x -2667849736027765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (*.f64 x (cos.f64 y)) (if (<=.f64 x 1475931496928081/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (*.f64 (sin.f64 y) (neg.f64 z)) (if (or (<=.f64 x 1247663247098599/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (<=.f64 x 2228789996929627/182687704666362864775460604089535377456991567872))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))
(if (<=.f64 x -2667849736027765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (*.f64 x (cos.f64 y)) (if (or (<=.f64 x 1475931496928081/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (not (or (<=.f64 x 1247663247098599/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (<=.f64 x 2228789996929627/182687704666362864775460604089535377456991567872))))) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(if (or (<=.f64 x -2667849736027765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (not (or (<=.f64 x 1475931496928081/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (not (or (<=.f64 x 1247663247098599/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (<=.f64 x 2228789996929627/182687704666362864775460604089535377456991567872))))))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(if (or (<=.f64 x -2667849736027765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (not (or (<=.f64 x 1475931496928081/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (and (not (<=.f64 x 1247663247098599/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968)) (<=.f64 x 2228789996929627/182687704666362864775460604089535377456991567872))))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(if (or (<=.f64 x -2667849736027765/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (and (not (<=.f64 x 1475931496928081/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288)) (or (<=.f64 x 1247663247098599/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (<=.f64 x 2228789996929627/182687704666362864775460604089535377456991567872))))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(if (<=.f64 y -8116567392432203/18446744073709551616) (*.f64 (cos.f64 y) x) (if (<=.f64 y 4242751136953197/36893488147419103232) (-.f64 x (*.f64 y z)) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -8116567392432203/18446744073709551616) (not (<=.f64 y 4242751136953197/36893488147419103232))) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(if (<=.f64 x -4594630100936707/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 2306572013803885/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 z (neg.f64 y)) x))
(if (<=.f64 x -4594630100936707/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 x 2306572013803885/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 y (neg.f64 z)) x))
x
Compiler

Compiled 143 to 94 computations (34.3% saved)

soundness0.0ms (0%)

end53.0ms (0.4%)

Compiler

Compiled 122 to 55 computations (54.9% saved)

Profiling

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