Details

Time bar (total: 10.0s)

analyze276.0ms (2.8%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (22.3%)

Results
974.0ms2047×body1024valid
898.0ms5167×body256valid
350.0ms1040×body512valid
1.0msbody2048valid
Bogosity

preprocess14.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×fma-def
16×*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02492
14192
25392
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 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (*.f64 z (sin.f64 x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 y (sin.f64 z)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify17.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
11623
21923
Stop Event
saturated
Counts
1 → 2
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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

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

rewrite87.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1082×*-commutative
920×unswap-sqr
660×swap-sqr
474×distribute-lft-in
468×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
122650
2291950
Stop Event
node limit
Counts
4 → 133
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.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 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 log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.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))) (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 *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6))))) (#(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 log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> 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fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.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 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))))

simplify104.0ms (1%)

Algorithm
egg-herbie
Rules
814×distribute-lft-neg-in
764×associate-+r+
680×+-commutative
644×associate-*r*
630×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03718223
19807701
247427681
Stop Event
node limit
Counts
201 → 221
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.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)
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 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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) 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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.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 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 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (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)))
(*.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))))
(*.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))))
(*.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)))))
(*.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)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (*.f64 x (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(-.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(*.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(*.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.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 (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.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 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(*.f64 (/.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) 3))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/6))
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(/.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.f64 y)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.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 (sin.f64 y) (neg.f64 z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y) (neg.f64 z)))))
(/.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.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 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.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 (sin.f64 y) (neg.f64 z))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 z (sin.f64 y)) 3) (pow.f64 (*.f64 x (cos.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 (sin.f64 y) (neg.f64 z))))
(/.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 (sin.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.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 (sin.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.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 (sin.f64 y) (neg.f64 z))))))
(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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (fma.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) 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 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(+.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (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))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(*.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)
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))
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(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(/.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 (sin.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.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 (+.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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(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 (sin.f64 y) (neg.f64 z))))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(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)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) 2))
(fabs.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

eval62.0ms (0.6%)

Compiler

Compiled 6070 to 1933 computations (68.2% saved)

prune48.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New20417221
Fresh000
Picked011
Done000
Total20418222
Error
0.0b
Counts
222 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
0.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
46.2b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
46.4b
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
0.2b
(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
31.7b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
0.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
26.1b
(+.f64 (*.f64 y z) x)
27.1b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.6b
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
7.0b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
18.7b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z y))
11.3b
(+.f64 x (*.f64 z (sin.f64 y)))
27.8b
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
37.5b
(*.f64 z (sin.f64 y))
Compiler

Compiled 628 to 388 computations (38.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite63.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
934×*-commutative
908×cbrt-prod
826×sqrt-prod
730×unswap-sqr
564×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
121323
2250723
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z 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simplify75.0ms (0.8%)

Algorithm
egg-herbie
Rules
1602×associate-+r+
1302×associate-+l+
702×fma-def
656×*-commutative
584×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01563321
13973267
217473193
356573193
Stop Event
node limit
Counts
85 → 85
Calls
Call 1
Inputs
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) 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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.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 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 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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(fabs.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
Outputs
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 x y)) x))
(fma.f64 x (*.f64 y (*.f64 y -1/2)) (fma.f64 y z x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 -1/2 (*.f64 y (*.f64 x y)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) -1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/2)))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/4))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/2)))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 5/2)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1/6) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 5)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 7))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2) 1/2)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fabs.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

localize5.0ms (0%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
0.1b
(*.f64 x (cos.f64 y))
0.2b
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
0.2b
(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
Compiler

Compiled 45 to 14 computations (68.9% saved)

series7.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite94.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1082×*-commutative
862×unswap-sqr
636×swap-sqr
474×sqr-pow
464×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01475
127975
2305275
Stop Event
node limit
Counts
3 → 201
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 -1 (*.f64 x (neg.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) -1) (*.f64 (*.f64 x (neg.f64 (cos.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (neg.f64 (*.f64 x (neg.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))))

simplify149.0ms (1.5%)

Algorithm
egg-herbie
Rules
1386×distribute-rgt-in
1382×distribute-lft-in
554×associate-*r*
500×associate-/l*
468×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039612965
1108312139
2484112139
Stop Event
node limit
Counts
309 → 253
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.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 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)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) 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 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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.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 -1 (/.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 (*.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 -1 (/.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 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.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 -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 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.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 x)
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(/.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -1) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -1)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)) -1) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -1)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) -1) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 1) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 (cos.f64 y) x)))
(-.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (/.f64 (sin.f64 y) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) z)))
(-.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 z (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 -1 (/.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 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 z z) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 2))))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (/.f64 (sin.f64 y) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) z))))
(+.f64 (-.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 z (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 -1 (/.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 -1 (/.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (cos.f64 y) x)))))
(fma.f64 -1 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))) (+.f64 (fma.f64 -1 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (/.f64 (sin.f64 y) (*.f64 x x))) (/.f64 1 (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 z z) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (/.f64 (sin.f64 y) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) z)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 z (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) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 x 4)))))
(/.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))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(-.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.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 (fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (/.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) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))))
(/.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))))
(fma.f64 -1 (*.f64 (/.f64 (cos.f64 y) (*.f64 z z)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(-.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
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(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -1) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -1)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)) -1) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) -1)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) -1) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)) (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 1) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2)))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2)) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2)))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2)))) (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2)))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -1)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
0.3b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
8.1b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series6.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

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

rewrite75.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify49.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
0.4b
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)
8.6b
(cbrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 48 to 14 computations (70.8% saved)

series17.0ms (0.2%)

Counts
3 → 42
Calls

21 calls:

TimeVariablePointExpression
6.0ms
y
@inf
(cbrt.f64 (*.f64 z (sin.f64 y)))
2.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)
1.0ms
y
@-inf
(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms
x
@0
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
1.0ms
z
@0
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))

rewrite80.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1032×unswap-sqr
830×swap-sqr
522×sqr-pow
514×pow-sqr
368×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01563
129559
2336459
Stop Event
node limit
Counts
3 → 124
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
Outputs
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simplify140.0ms (1.4%)

Algorithm
egg-herbie
Rules
1192×fma-def
844×+-commutative
796×associate-+l-
626×associate-+r-
620×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03126306
18225460
229975378
371355378
Stop Event
node limit
Counts
166 → 179
Calls
Call 1
Inputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(*.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 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/6))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))))) (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (-.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))))) (+.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
Outputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.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)
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/2 (*.f64 y y))) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) -1)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 1)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 z (sin.f64 y))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/6) 4)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 z))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 z))))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 z))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 z))))
(*.f64 (sqrt.f64 (cbrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 z)))))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 z))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 z)))))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (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 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 1)
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 2)
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) 3)
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(fma.f64 1 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

eval222.0ms (2.2%)

Compiler

Compiled 19063 to 6182 computations (67.6% saved)

prune277.0ms (2.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New80815823
Fresh6612
Picked101
Done235
Total81724841
Error
0b
Counts
841 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
31.2b
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
37.6b
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
25.1b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) x)))
1.6b
(/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))))))))
36.0b
(/.f64 1 (/.f64 1 x))
36.4b
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
39.1b
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
27.6b
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
41.0b
(/.f64 1 (*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
33.3b
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))))
40.6b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
31.7b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
0.8b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
26.1b
(+.f64 (*.f64 y z) x)
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
7.0b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
33.0b
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
11.3b
(+.f64 x (*.f64 z (sin.f64 y)))
31.2b
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
25.0b
(*.f64 (cos.f64 y) x)
37.5b
(*.f64 z (sin.f64 y))
35.9b
x
Compiler

Compiled 791 to 497 computations (37.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))
0.6b
(cbrt.f64 (*.f64 x (cos.f64 y)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite59.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120326
2213826
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 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)))))))))

simplify71.0ms (0.7%)

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)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.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))

rewrite50.0ms (0.5%)

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))))))

simplify63.0ms (0.6%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 y) x)
Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

6 calls:

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

rewrite61.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify51.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.1b
(*.f64 z (sin.f64 y))
0.3b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
8.1b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 34 to 12 computations (64.7% saved)

series2.0ms (0%)

Counts
1 → 22
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.0ms
x
@0
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.0ms
y
@0
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.0ms
z
@inf
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.0ms
z
@0
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))

rewrite97.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1002×*-commutative
750×unswap-sqr
590×swap-sqr
454×distribute-lft-in
452×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01217
125213
2286413
Stop Event
node limit
Counts
1 → 84
Calls
Call 1
Inputs
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 z (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)) 2))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) 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simplify74.0ms (0.7%)

Algorithm
egg-herbie
Rules
1768×distribute-lft-in
1612×associate-/r*
1598×associate-*r/
1294×associate-*l/
532×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02414640
16694428
228884428
Stop Event
node limit
Counts
106 → 135
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 z (sin.f64 y) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)) 2))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6))
(/.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (fma.f64 z (sin.f64 y) x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x z)) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x z)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
Outputs
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
x
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 x))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 z (sin.f64 y) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(fma.f64 z (sin.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) x)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 (*.f64 z (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 z (sin.f64 y))))
(fma.f64 z (sin.f64 y) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))))) (sqrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (hypot.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) (pow.f64 x 3/2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (/.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 z (sin.f64 y)) x))
(fma.f64 z (sin.f64 y) x)
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) x)
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))))) (sqrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (hypot.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) (pow.f64 x 3/2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (/.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 x x (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x z)) 2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z x)) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) x)) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 (*.f64 z (*.f64 (sin.f64 y) x)) 2) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (pow.f64 x 6))) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 z (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(fma.f64 z (sin.f64 y) x)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(fma.f64 z (sin.f64 y) x)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(fabs.f64 (fma.f64 z (sin.f64 y) x))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 z (sin.f64 y)))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)
0.2b
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
0.2b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
38.5b
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
Compiler

Compiled 74 to 27 computations (63.5% saved)

series49.0ms (0.5%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
27.0ms
z
@inf
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
4.0ms
x
@-inf
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
2.0ms
x
@0
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
2.0ms
y
@0
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
2.0ms
x
@inf
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))

rewrite116.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
954×associate-*r/
858×swap-sqr
630×associate-*l/
474×distribute-rgt-in
428×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017122
1347110
24018110
Stop Event
node limit
Counts
4 → 306
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)
Outputs
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simplify278.0ms (2.8%)

Algorithm
egg-herbie
Rules
844×distribute-lft-in
838×distribute-rgt-in
762×+-commutative
718×associate-*r/
698×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102432390
1318431750
Stop Event
node limit
Counts
450 → 587
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.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 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (*.f64 -1/6 (/.f64 z (pow.f64 x 2))) (*.f64 1/2 (/.f64 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 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(/.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 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.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 (cos.f64 y) x))
(+.f64 (*.f64 -1 (/.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 -1 (/.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 (*.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 -1 (/.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 -1 (/.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 -1 (/.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 (*.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 -1 (/.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 -1 (/.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 -1 (/.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 (*.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 -1 (/.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 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (/.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)))
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(/.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 -1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2)) (/.f64 -1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/4) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/4)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3) (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) -1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) -1)))
(/.f64 (pow.f64 1 3/2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3/2) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 3/2)))
(/.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) 1) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2))
(/.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) 1) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3) 1) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3) (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3) -1) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) 3) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3))) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) 1) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) x) 3)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 1 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2))
(/.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)))) (/.f64 (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 1 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3)) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2) -3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) -3))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) -1)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) -1)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) -1))
(/.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2)) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))
(/.f64 (/.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) 1) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3/2) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 1 1/3)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 1/3)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 1/3))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) 1/3)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) 1) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 -1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)))) (/.f64 -1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) -1) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 -1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(neg.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z))))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x)))
(+.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 -1 (/.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) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (/.f64 (neg.f64 (*.f64 z z)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 (*.f64 z (-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 3))))) x) (+.f64 (*.f64 -1/6 (/.f64 z (pow.f64 x 2))) (*.f64 1/2 (/.f64 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 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.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))) (fma.f64 (*.f64 y y) (-.f64 (/.f64 1/2 x) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z))))))
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(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3/2) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -3/2)) (sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -3/2))))
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(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6)))))
(*.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (/.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 1 1/3)) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 1/3)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -3/2) 1/3))
(/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -3/2))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)) 1/3)) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6)))))
(*.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2) (/.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) 1) (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 -1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6)))) (/.f64 -1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6)))) -1) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) -1) (/.f64 1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2)) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2)) (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2)) (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (/.f64 -1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) -6))))) (/.f64 1 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6)))) -1) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -6))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(neg.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 6))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3) 3))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)
(exp.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
(pow.f64 (exp.f64 3) (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) 1))
(pow.f64 (exp.f64 3) (log.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3)))
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) 3)

eval768.0ms (7.7%)

Compiler

Compiled 34354 to 14740 computations (57.1% saved)

prune327.0ms (3.3%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New102081028
Fresh11516
Picked101
Done167
Total1033191052
Error
0b
Counts
1052 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
31.2b
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
44.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
25.1b
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x))
37.6b
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
36.0b
(/.f64 1 (/.f64 1 x))
36.4b
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
39.3b
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
33.3b
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
51.4b
(/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -6)))
43.7b
(-.f64 (+.f64 1 x) 1)
11.3b
(+.f64 (*.f64 z (sin.f64 y)) x)
26.1b
(+.f64 (*.f64 y z) x)
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
33.0b
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
37.1b
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
25.0b
(*.f64 (cos.f64 y) x)
37.5b
(*.f64 z (sin.f64 y))
35.9b
x
Compiler

Compiled 390 to 276 computations (29.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 19
Calls

9 calls:

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

rewrite145.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1988×add-sqr-sqrt
1972×*-un-lft-identity
1830×add-cube-cbrt
1810×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
118713
2242113
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 z (sin.f64 y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 z (sin.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x))) (neg.f64 (fma.f64 z (sin.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)))))

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
1508×associate-*r*
1140×associate-/r*
834×associate-+r+
608×associate-+l+
596×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111310
12751260
29701252
342941252
Stop Event
node limit
Counts
56 → 56
Calls
Call 1
Inputs
x
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
x
x
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) (neg.f64 x))))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 z (sin.f64 y) (neg.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 z x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x))) (neg.f64 (fma.f64 z (sin.f64 y) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y)))))))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)
Outputs
x
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) x))
(fma.f64 z y (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) x))
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) x)))
(fma.f64 z y (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) x)))
(fma.f64 z y (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) x))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 z y x))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
x
x
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(fma.f64 z (sin.f64 y) x)
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (sin.f64 y) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 z (sin.f64 y) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 z x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x))) (neg.f64 (fma.f64 z (sin.f64 y) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(fma.f64 z (sin.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(fma.f64 z (sin.f64 y) x)
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) x)) 1))
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 (*.f64 z (sin.f64 y)) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 1 x (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (sin.f64 y) x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.9b
(-.f64 (+.f64 1 x) 1)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite108.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

simplify73.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x)))
0.6b
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
10.1b
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))
Compiler

Compiled 54 to 18 computations (66.7% saved)

series40.0ms (0.4%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
32.0ms
x
@0
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))
1.0ms
y
@0
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))
1.0ms
z
@0
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))
1.0ms
y
@inf
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))
0.0ms
z
@inf
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))

rewrite129.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1482×associate-/r/
798×associate-/l/
706×distribute-lft-in
318×add-sqr-sqrt
310×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01499
130875
2477575
Stop Event
node limit
Counts
3 → 370
Calls
Call 1
Inputs
(/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (*.f64 y z) (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (*.f64 x x))) (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (*.f64 x x)) 0) (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 (*.f64 y z) (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (*.f64 x x)) (/.f64 0 (*.f64 x x))) (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) 0) (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 x x)) (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (neg.f64 z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y z)) x) (/.f64 (sqrt.f64 (*.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y z) (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 y z) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y z) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 z (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 y z) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 x) x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 y z) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) 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simplify256.0ms (2.6%)

Algorithm
egg-herbie
Rules
1826×associate-/r*
1634×associate-/l*
1526×associate-*r/
1410×associate-*l/
528×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087126358
1300326036
Stop Event
node limit
Counts
478 → 704
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z)))
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
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x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2)) x)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2)) x)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2)) x)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z)))
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
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(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z)))
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x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2)) x)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z)))
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
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(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(/.f64 1 x)
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(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))
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(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4)) (pow.f64 x -2)) (neg.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4)) (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4)))) (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 3))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 y z) x) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y z) x))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2) (*.f64 (pow.f64 x -3) (*.f64 y z))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3)) (*.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4)) 3)) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4)) (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4)))))))
(/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)
(/.f64 (+.f64 (*.f64 (*.f64 x x) -1) (*.f64 (*.f64 y z) (neg.f64 x))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) -1) (*.f64 (*.f64 y z) (neg.f64 x))) (*.f64 1 (*.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (+.f64 x (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) 1)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) x))
(/.f64 (+.f64 x (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) 1)) (*.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) -1)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) -1)) (*.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (neg.f64 x))))
(/.f64 (+.f64 x (*.f64 (/.f64 (*.f64 y z) x) x)) (*.f64 x x))
(/.f64 (+.f64 (*.f64 x -1) (*.f64 (/.f64 (*.f64 y z) x) (neg.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 (*.f64 x (neg.f64 x)) x))
(/.f64 (+.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 1 (*.f64 (*.f64 x (neg.f64 x)) x)))
(/.f64 (+.f64 (*.f64 (*.f64 y z) (neg.f64 x)) (*.f64 (*.f64 x (neg.f64 x)) -1)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (*.f64 y z) (neg.f64 x)) (*.f64 (*.f64 x (neg.f64 x)) -1)) (*.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))))
(/.f64 (+.f64 x (/.f64 (*.f64 x x) (*.f64 y z))) (*.f64 x (/.f64 (*.f64 x x) (*.f64 y z))))
(/.f64 (+.f64 x (/.f64 (*.f64 x x) (*.f64 y z))) (*.f64 1 (*.f64 x (/.f64 (*.f64 x x) (*.f64 y z)))))
(/.f64 (+.f64 x (*.f64 x (/.f64 (*.f64 y z) x))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 y z) x) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 (*.f64 (*.f64 y z) x) (*.f64 x (neg.f64 x))) (*.f64 1 (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 1 (*.f64 (neg.f64 x) (*.f64 x x))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 1 (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (*.f64 y z) x))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 1 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 y z))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) x) (*.f64 1 (*.f64 x (/.f64 (*.f64 x x) (*.f64 y z)))))
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x))) (*.f64 x x))
(/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 1 (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 1 (*.f64 (neg.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 1 (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (*.f64 y z) x))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 1 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3)) (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2)) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3)) (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2) (*.f64 (pow.f64 x -3) (*.f64 y z))) (pow.f64 x 3))))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 y z) x)) (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2)) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (*.f64 (pow.f64 x 3) (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x))))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 y z) x)) (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3))) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2) (*.f64 (pow.f64 x -3) (*.f64 y z))))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 1)
(pow.f64 (hypot.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (*.f64 y z)) x)) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 y z) x))) x) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (pow.f64 (exp.f64 z) y) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(fma.f64 (*.f64 y z) (pow.f64 x -2) (/.f64 1 x))
(fma.f64 1 (*.f64 (*.f64 y z) (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 (*.f64 y z) (pow.f64 x -2)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (*.f64 y z) (pow.f64 x -2)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y z)) x) (/.f64 (sqrt.f64 (*.f64 y z)) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (*.f64 y z) (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 y z) (pow.f64 x -2))) (/.f64 1 x))
Outputs
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))
(*.f64 y (/.f64 (neg.f64 z) (*.f64 x x)))
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x z)) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (*.f64 y y) (*.f64 z z))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x z)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (pow.f64 x 3) (*.f64 (*.f64 y y) (*.f64 z z))))))
(fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x z)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (*.f64 y y) (*.f64 z z))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 y 4) (pow.f64 z 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))))
(fma.f64 -1 (/.f64 (pow.f64 x 5) (*.f64 (pow.f64 y 4) (pow.f64 z 4))) (fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x z)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (/.f64 (pow.f64 x 3) (*.f64 (*.f64 y y) (*.f64 z z)))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (pow.f64 z 4)) (fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x z)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (*.f64 y y) (*.f64 z z))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(fma.f64 y z (+.f64 x (/.f64 (*.f64 y y) (/.f64 x (*.f64 z z)))))
(+.f64 (fma.f64 y z x) (/.f64 y (/.f64 (/.f64 x (*.f64 z z)) y)))
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2)) x)))
(fma.f64 y z (+.f64 (/.f64 (*.f64 y y) (/.f64 x (*.f64 z z))) (+.f64 x (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (pow.f64 z 3))))))
(+.f64 (+.f64 (fma.f64 y z x) (/.f64 y (/.f64 (/.f64 x (*.f64 z z)) y))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (pow.f64 z 3))))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(fma.f64 y z (+.f64 x (/.f64 (*.f64 y y) (/.f64 x (*.f64 z z)))))
(+.f64 (fma.f64 y z x) (/.f64 y (/.f64 (/.f64 x (*.f64 z z)) y)))
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 2)) x)))
(fma.f64 y z (+.f64 (/.f64 (*.f64 y y) (/.f64 x (*.f64 z z))) (+.f64 x (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (pow.f64 z 3))))))
(+.f64 (+.f64 (fma.f64 y z x) (/.f64 y (/.f64 (/.f64 x (*.f64 z z)) y))) (/.f64 (pow.f64 y 3) (/.f64 (*.f64 x x) (pow.f64 z 3))))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) x) x))
(fma.f64 y z (+.f64 x (/.f64 (*.f64 y y) (/.f64 x (*.f64 z z)))))
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(/.f64 (*.f64 x (neg.f64 (fma.f64 y z x))) (neg.f64 (pow.f64 x 3)))
(/.f64 x (/.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (fma.f64 y z x))))
(/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 1 (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 y z x))) (neg.f64 (pow.f64 x 3)))
(/.f64 x (/.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (fma.f64 y z x))))
(/.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 y z) x (neg.f64 (*.f64 x x))) (neg.f64 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 1 (*.f64 (neg.f64 x) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 y z) x (neg.f64 (*.f64 x x))) (neg.f64 (pow.f64 x 3)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z))))
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x z)) (neg.f64 x)) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 y z)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 1 (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x z)) (neg.f64 x)) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 y z)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (*.f64 y z) x))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (/.f64 y (/.f64 x z)))) (neg.f64 (*.f64 x x)))
(/.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 x y) (/.f64 x z))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 x x))) (*.f64 y (*.f64 z x))) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 y (*.f64 z x)) (neg.f64 (neg.f64 (*.f64 x x)))) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 x (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 y z))) (*.f64 1 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 x x))) (*.f64 y (*.f64 z x))) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 y (*.f64 z x)) (neg.f64 (neg.f64 (*.f64 x x)))) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3)) (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2)) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3) (pow.f64 x -3)) (/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)) (/.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x) 2) (+.f64 (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3) (pow.f64 x -3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (pow.f64 x -2))) 3) (pow.f64 x -3)) (/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)) (/.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x) 2) (+.f64 (pow.f64 (*.f64 y (*.f64 z (pow.f64 x -2))) 3) (pow.f64 x -3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3)) (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2) (*.f64 (pow.f64 x -3) (*.f64 y z))) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3) (pow.f64 x -3)) (*.f64 x (fma.f64 y z x))) (*.f64 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1 (/.f64 y (/.f64 x z)))) x) (+.f64 (*.f64 (*.f64 y z) (pow.f64 x -3)) (pow.f64 (/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (pow.f64 x -2))) 3) (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x) 3) (*.f64 (/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x) (*.f64 (*.f64 y z) (pow.f64 x -3)))) (/.f64 (fma.f64 y z x) (/.f64 (pow.f64 x 3) x))))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 y z) x)) (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2)) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (*.f64 (pow.f64 x 3) (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x))))
(*.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 x (fma.f64 y z x)))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 y z) x)) (+.f64 (pow.f64 x -3) (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3))) (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2) (*.f64 (pow.f64 x -3) (*.f64 y z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (pow.f64 x -2)) 3) (pow.f64 x -3)) (*.f64 x (fma.f64 y z x))) (*.f64 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1 (/.f64 y (/.f64 x z)))) x) (+.f64 (*.f64 (*.f64 y z) (pow.f64 x -3)) (pow.f64 (/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z (pow.f64 x -2))) 3) (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x) 3) (*.f64 (/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x) (*.f64 (*.f64 y z) (pow.f64 x -3)))) (/.f64 (fma.f64 y z x) (/.f64 (pow.f64 x 3) x))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 1)
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(pow.f64 (hypot.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (*.f64 y z)) x)) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 y z) x))) x) 3)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 x (fma.f64 y z x))) x) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 3) 1/3)
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (pow.f64 (exp.f64 z) y) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x))))
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x) 3))
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)) 1))
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 y z) x)) x)))
(/.f64 (-.f64 1 (/.f64 y (/.f64 x z))) x)
(/.f64 (-.f64 1 (*.f64 y (/.f64 z x))) x)
(fma.f64 (*.f64 y z) (pow.f64 x -2) (/.f64 1 x))
(fma.f64 1 (*.f64 (*.f64 y z) (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 (*.f64 y z) (pow.f64 x -2) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 (*.f64 y z) (pow.f64 x -2)))
(fma.f64 (*.f64 y z) (pow.f64 x -2) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 (*.f64 y z) (pow.f64 x -2)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 y (*.f64 z (pow.f64 x -2))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y z)) x) (/.f64 (sqrt.f64 (*.f64 y z)) x) (/.f64 1 x))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y z)) x) 2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y z)) x) 2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 (*.f64 y z) (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 y (*.f64 z (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 y z) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 y (*.f64 z (pow.f64 x -2)))) (/.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.3b
(/.f64 (/.f64 1 z) (sin.f64 y))
0.4b
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite79.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1290×associate-*r/
1214×associate-/r*
926×*-commutative
874×associate-*l/
720×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
120828
2268028
Stop Event
node limit
Counts
2 → 131
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
(/.f64 (/.f64 1 z) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))))) 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simplify124.0ms (1.2%)

Algorithm
egg-herbie
Rules
1432×associate-+l+
950×associate-/r/
842×unswap-sqr
824×*-commutative
816×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03033423
18083307
224523279
374263279
Stop Event
node limit
Counts
179 → 187
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 y z))
(+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z)))
(+.f64 (*.f64 1/6 (/.f64 y z)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 3) z)) (/.f64 1 (*.f64 y z))))
(+.f64 (*.f64 1/6 (/.f64 y z)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 5) z)) (/.f64 1 (*.f64 y 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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(*.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (cbrt.f64 z) (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (sin.f64 y))
(*.f64 z (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(*.f64 -1 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) -1))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) z) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) -1)
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(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (sin.f64 y) -1) (neg.f64 z))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 z -1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 z -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 y)) -1) z)
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 1) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) 1) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) -1) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) 1) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (/.f64 1 (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z)))
(pow.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) (neg.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))) 1)
(*.f64 1 (/.f64 1 (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 1 z) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 1 z) (neg.f64 (/.f64 -1 (sin.f64 y))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)
(*.f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (sin.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 z))
(*.f64 -1 (/.f64 -1 (*.f64 (sin.f64 y) z)))
(*.f64 (/.f64 -1 z) (/.f64 -1 (sin.f64 y)))
(*.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)) -1)
(*.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))))
(*.f64 (/.f64 (pow.f64 z -1/2) (sin.f64 y)) (pow.f64 z -1/2))
(*.f64 (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 y)) z)) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 y)) z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 y)) z)))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 -1 (sin.f64 y)) (/.f64 -1 z))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 1 (*.f64 (sin.f64 y) (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) -1) (/.f64 -1 z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sin.f64 y)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) -1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3)
(neg.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5))))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (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 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 z y (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) 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 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(/.f64 1 (*.f64 y z))
(/.f64 (/.f64 1 y) z)
(/.f64 (/.f64 1 z) y)
(+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z)))
(fma.f64 1/6 (/.f64 y z) (/.f64 (/.f64 1 y) z))
(fma.f64 1/6 (/.f64 y z) (/.f64 (/.f64 1 z) y))
(+.f64 (*.f64 1/6 (/.f64 y z)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 3) z)) (/.f64 1 (*.f64 y z))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (/.f64 (/.f64 1 y) z)))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (/.f64 (/.f64 1 z) y)))
(+.f64 (*.f64 1/6 (/.f64 y z)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 5) z)) (/.f64 1 (*.f64 y z)))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (fma.f64 31/15120 (/.f64 (pow.f64 y 5) z) (/.f64 (/.f64 1 y) z))))
(fma.f64 1/6 (/.f64 y z) (fma.f64 7/360 (/.f64 (pow.f64 y 3) z) (fma.f64 31/15120 (/.f64 (pow.f64 y 5) z) (/.f64 (/.f64 1 z) 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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 z) (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (pow.f64 (/.f64 1 (sin.f64 y)) -1))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) -1))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) z) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) 1))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
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(/.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 -1))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) -1))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 z) (sin.f64 y))) (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) 1)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) z) -1)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) z))) 2)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) z))) 3)
(/.f64 1 (*.f64 z (sin.f64 y)))
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(neg.f64 (/.f64 -1 (*.f64 (sin.f64 y) z)))
(/.f64 1 (*.f64 z (sin.f64 y)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z)))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) z))))
(/.f64 1 (*.f64 z (sin.f64 y)))

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (*.f64 (cos.f64 y) x))
0.1b
(*.f64 (cos.f64 y) x)
0.3b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
Compiler

Compiled 24 to 9 computations (62.5% saved)

series5.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
0.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
0.0ms
y
@inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)

rewrite68.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify77.0ms (0.8%)

Algorithm
egg-herbie
Rules
848×fma-def
814×unswap-sqr
610×*-commutative
508×+-commutative
416×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01581569
13671379
212981155
340021155
467611155
Stop Event
node limit
Counts
69 → 85
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) 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)
(sqrt.f64 x)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 x) (*.f64 -1/4 (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 1 (*.f64 (cos.f64 y) x))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.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))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(*.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1/2))
(pow.f64 (*.f64 (cos.f64 y) x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
Outputs
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (*.f64 x 1/16)) x))
(fma.f64 x (*.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/24 x) (*.f64 1/16 x)) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 x 5/48) (*.f64 x 1/16)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (*.f64 -1/2 (*.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(fma.f64 -1/4 (*.f64 y (*.f64 y (sqrt.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 y 4)) (-.f64 (*.f64 x 1/24) (*.f64 x 1/16))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (*.f64 1/2 (*.f64 (*.f64 x -1/48) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 x) (*.f64 -1/4 (-.f64 (*.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (*.f64 (*.f64 1/2 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 x -1/720) (*.f64 1/4 (-.f64 (*.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))))) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/4 (*.f64 y (*.f64 y (sqrt.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 y 4)) (-.f64 (*.f64 x 1/24) (*.f64 x 1/16))) (fma.f64 1/2 (*.f64 (fma.f64 x -1/720 (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 x 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 (pow.f64 y 6) (fma.f64 (*.f64 x -1/48) 1/4 (*.f64 x -1/720))) (*.f64 (pow.f64 y 4) (*.f64 x -1/48)))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 x -1/48)) (*.f64 (pow.f64 y 6) (fma.f64 x -1/720 (*.f64 -1/4 (*.f64 x 1/48))))))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 1 (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.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 (cos.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.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 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))
(*.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1))
(*.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))
(*.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 0)
(sqrt.f64 (*.f64 x (cos.f64 y)))

eval623.0ms (6.2%)

Compiler

Compiled 26278 to 13128 computations (50% saved)

prune424.0ms (4.2%)

Pruning

34 alts after pruning (26 fresh and 8 done)

PrunedKeptTotal
New1177211198
Fresh358
Picked011
Done3710
Total1183341217
Error
0b
Counts
1217 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
31.2b
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
44.3b
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2) 2)
50.3b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
44.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
44.9b
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
36.3b
(/.f64 (*.f64 1 x) (-.f64 1 (*.f64 y (/.f64 z x))))
62.6b
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
62.4b
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
25.1b
(/.f64 1 (/.f64 (/.f64 1 (cos.f64 y)) x))
37.6b
(/.f64 1 (/.f64 (/.f64 1 z) (sin.f64 y)))
52.1b
(/.f64 1 (/.f64 (/.f64 1 z) y))
52.1b
(/.f64 1 (/.f64 (/.f64 1 y) z))
62.7b
(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
53.9b
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x)))))
52.1b
(/.f64 1 (/.f64 1 (*.f64 y z)))
36.0b
(/.f64 1 (/.f64 1 x))
36.4b
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
39.3b
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) y)))
36.3b
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
51.9b
(/.f64 1 (+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z))))
33.3b
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
43.8b
(+.f64 (+.f64 x -1) 1)
11.3b
(+.f64 (*.f64 z (sin.f64 y)) x)
18.2b
(+.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))) x)
26.1b
(+.f64 (*.f64 y z) x)
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
48.4b
(*.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 (*.f64 y z) x)) x)) (*.f64 x x))
48.1b
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x)))) (*.f64 x x))
44.9b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
37.5b
(*.f64 (sin.f64 y) z)
25.0b
(*.f64 (cos.f64 y) x)
52.1b
(*.f64 z y)
35.9b
x
Compiler

Compiled 434 to 303 computations (30.2% saved)

regimes131.0ms (1.3%)

Counts
62 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 1 x) (-.f64 1 (*.f64 y (/.f64 z x))))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 1 (+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) y)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x)))) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 (*.f64 y z) x)) x)) (*.f64 x x))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.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 (cos.f64 y)) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(+.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))) x)
(/.f64 1 (/.f64 1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2) 2)
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.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 (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
(+.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -1/2) -2)
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) 3))))
(/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) -6)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3/4))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) x) 2)))
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) 2))))))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
Calls

4 calls:

30.0ms
x
28.0ms
y
27.0ms
z
26.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 860 to 356 computations (58.6% saved)

regimes79.0ms (0.8%)

Counts
36 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 1 x) (-.f64 1 (*.f64 y (/.f64 z x))))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 1 (+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) y)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x)))) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 (*.f64 y z) x)) x)) (*.f64 x x))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.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 (cos.f64 y)) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

23.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0ms
z
16.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 353 to 174 computations (50.7% saved)

regimes202.0ms (2%)

Counts
33 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 1 x) (-.f64 1 (*.f64 y (/.f64 z x))))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 1 (+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) y)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x)))) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 (*.f64 y z) x)) x)) (*.f64 x x))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.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 (cos.f64 y)) x))
Outputs
(*.f64 (cos.f64 y) x)
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
Calls

3 calls:

82.0ms
y
73.0ms
x
39.0ms
z
Results
ErrorSegmentsBranch
5.0b3x
6.9b5y
5.4b3z
Compiler

Compiled 318 to 159 computations (50% saved)

bsearch69.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
5.172717772351588e+46
3.985505523391748e+49
37.0ms
-1.6738107532570597e+87
-8.626993327283705e+78
Results
30.0ms183×body256valid
26.0ms56×body1024valid
10.0ms33×body512valid
Compiler

Compiled 324 to 234 computations (27.8% saved)

regimes296.0ms (3%)

Counts
27 → 4
Calls
Call 1
Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 1 x) (-.f64 1 (*.f64 y (/.f64 z x))))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 1 (+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) y)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x)))) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 (*.f64 y z) x)) x)) (*.f64 x x))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) z)
Outputs
(*.f64 z (sin.f64 y))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
Calls

3 calls:

136.0ms
z
83.0ms
y
42.0ms
x
Results
ErrorSegmentsBranch
13.6b3x
9.9b4y
12.1b8z
Compiler

Compiled 274 to 141 computations (48.5% saved)

bsearch94.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
6.096335780155821e-12
5.7346483144147704e-9
30.0ms
-20.88213062056527
-2.331533669571633e-10
40.0ms
-3.132454060075039e+93
-1.1162685087232892e+92
Results
50.0ms288×body256valid
39.0ms112×body512valid
Compiler

Compiled 436 to 313 computations (28.2% saved)

regimes188.0ms (1.9%)

Counts
25 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 1 x) (-.f64 1 (*.f64 y (/.f64 z x))))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 1 (+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) y)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x)))) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 (*.f64 y z) x)) x)) (*.f64 x x))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 y z) x)
(*.f64 z (sin.f64 y))
Calls

3 calls:

68.0ms
y
56.0ms
z
32.0ms
x
Results
ErrorSegmentsBranch
21.2b3x
12.7b3y
21.0b3z
Compiler

Compiled 266 to 138 computations (48.1% saved)

bsearch99.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
6.096335780155821e-12
5.7346483144147704e-9
54.0ms
-20.88213062056527
-2.331533669571633e-10
Results
95.0ms288×body256valid
Compiler

Compiled 324 to 229 computations (29.3% saved)

regimes48.0ms (0.5%)

Counts
24 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(+.f64 (*.f64 y z) x)
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (*.f64 y z)))
(/.f64 1 (/.f64 (/.f64 1 y) z))
(/.f64 1 (/.f64 (/.f64 1 z) y))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y z))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 1 x) (-.f64 1 (*.f64 y (/.f64 z x))))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 1 (+.f64 (*.f64 1/6 (/.f64 y z)) (/.f64 1 (*.f64 y z))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) y)))
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 (/.f64 z x) (/.f64 y x))))
(/.f64 1 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))))
(/.f64 1 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 (*.f64 y z)) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 (*.f64 y z) x)))) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 (*.f64 y z) x)) x)) (*.f64 x x))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x (+.f64 (*.f64 y z) x))) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y z)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 y z)))))
Outputs
(+.f64 (*.f64 y z) x)
Calls

3 calls:

20.0ms
x
12.0ms
z
10.0ms
y
Results
ErrorSegmentsBranch
26.1b1x
26.1b1y
26.1b1z
Compiler

Compiled 262 to 136 computations (48.1% saved)

regimes49.0ms (0.5%)

Accuracy

Total -31.3b remaining (-101.1%)

Threshold costs -31.3b (-101.1%)

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

3 calls:

36.0ms
x
9.0ms
z
3.0ms
y
Results
ErrorSegmentsBranch
30.9b3x
35.9b1y
33.5b3z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch105.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
2.33367355576861e-148
3.916712651827723e-144
68.0ms
-1.5932965241268178e-228
-6.663333536360678e-232
Results
65.0ms173×body256valid
27.0ms55×body1024valid
10.0ms28×body512valid
Compiler

Compiled 210 to 157 computations (25.2% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045266
165266
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -1250000000000000018288369038343591288712553734830818824098263483962245455313935269888) (*.f64 (cos.f64 y) x) (if (<=.f64 x 1749999999999999873906129292366641131137070530560) (+.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688) (*.f64 z (sin.f64 y)) (if (<=.f64 y -5620492334958379/144115188075855872) (*.f64 (cos.f64 y) x) (if (<=.f64 y 6769984589841923/1208925819614629174706176) (+.f64 (*.f64 y z) x) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y -4796153459164483/73786976294838206464) (*.f64 z (sin.f64 y)) (if (<=.f64 y 6769984589841923/1208925819614629174706176) (+.f64 (*.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 x -6281803036927453/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 x 3486658190770977/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (*.f64 z y) x))
x
Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(if (<=.f64 x -1250000000000000018288369038343591288712553734830818824098263483962245455313935269888) (*.f64 (cos.f64 y) x) (if (<=.f64 x 1749999999999999873906129292366641131137070530560) (+.f64 x (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -1250000000000000018288369038343591288712553734830818824098263483962245455313935269888) (not (<=.f64 x 1749999999999999873906129292366641131137070530560))) (*.f64 x (cos.f64 y)) (+.f64 x (*.f64 (sin.f64 y) z)))
(if (<=.f64 y -749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688) (*.f64 z (sin.f64 y)) (if (<=.f64 y -5620492334958379/144115188075855872) (*.f64 (cos.f64 y) x) (if (<=.f64 y 6769984589841923/1208925819614629174706176) (+.f64 (*.f64 y z) x) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y -749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688) (*.f64 (sin.f64 y) z) (if (<=.f64 y -5620492334958379/144115188075855872) (*.f64 x (cos.f64 y)) (if (<=.f64 y 6769984589841923/1208925819614629174706176) (+.f64 x (*.f64 y z)) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y -4796153459164483/73786976294838206464) (*.f64 z (sin.f64 y)) (if (<=.f64 y 6769984589841923/1208925819614629174706176) (+.f64 (*.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (or (<=.f64 y -4796153459164483/73786976294838206464) (not (<=.f64 y 6769984589841923/1208925819614629174706176))) (*.f64 (sin.f64 y) z) (+.f64 x (*.f64 y z)))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 x -6281803036927453/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 x 3486658190770977/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (*.f64 z y) x))
(if (<=.f64 x -6281803036927453/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 x 3486658190770977/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (*.f64 y z) x))
x
Compiler

Compiled 126 to 80 computations (36.5% saved)

soundness0.0ms (0%)

end50.0ms (0.5%)

Compiler

Compiled 105 to 41 computations (61% saved)

Profiling

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