Details

Time bar (total: 9.8s)

analyze298.0ms (3%)

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)

sample2.4s (24.4%)

Results
1.1s2074×body1024valid
962.0ms5150×body256valid
335.0ms1027×body512valid
4.0msbody2048valid
Bogosity

preprocess6.0ms (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 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(fma.f64 y (sin.f64 x) (*.f64 z (cos.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
(fma.f64 x (sin.f64 z) (*.f64 y (cos.f64 z)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.1%)

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 (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

eval0.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
0.1b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts
3 → 76
Calls

21 calls:

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

rewrite83.0ms (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
01145
122645
2291945
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
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simplify119.0ms (1.2%)

Algorithm
egg-herbie
Rules
648×associate-+r+
634×distribute-lft-neg-in
624×+-commutative
598×distribute-rgt-neg-in
564×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03218002
18747546
240957540
Stop Event
node limit
Counts
186 → 197
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (*.f64 (*.f64 -1/6 (pow.f64 y 3)) x))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 (*.f64 -1/6 (pow.f64 y 3)) x)))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 (*.f64 -1/6 (pow.f64 y 3)) x))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 x (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 -1/6 (pow.f64 y 3))) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(+.f64 z (*.f64 z (+.f64 (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 y x z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (fma.f64 y x z) (*.f64 (*.f64 -1/6 (pow.f64 y 3)) x)))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(fabs.f64 (*.f64 (sin.f64 y) x))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(fabs.f64 (*.f64 (cos.f64 y) z))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 2))
(fabs.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 1 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite102.0ms (1%)

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 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))

simplify79.0ms (0.8%)

Algorithm
egg-herbie
Rules
1596×associate-+r+
1310×associate-+l+
670×fma-def
646×*-commutative
584×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01553325
13933267
217373195
356083195
Stop Event
node limit
Counts
85 → 89
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3/2)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/4))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(fabs.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x z))
(fma.f64 y x (fma.f64 z (*.f64 y (*.f64 y -1/2)) z))
(fma.f64 y x (fma.f64 -1/2 (*.f64 y (*.f64 y z)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 3) (*.f64 x -1/6) (fma.f64 y x z)))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 y x z)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2) 1/2)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fabs.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

eval126.0ms (1.3%)

Compiler

Compiled 8339 to 2511 computations (69.9% saved)

prune120.0ms (1.2%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New28824312
Fresh000
Picked011
Done011
Total28826314
Error
0.0b
Counts
314 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
0.1b
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
0.1b
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
14.9b
(fma.f64 x (sin.f64 y) z)
46.0b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
40.4b
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
40.5b
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))
0.3b
(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
0.5b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) (*.f64 z (cos.f64 y)))
33.3b
(+.f64 (*.f64 y x) z)
33.7b
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
0.8b
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
0.1b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
35.1b
(+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log.f64 (*.f64 z (cos.f64 y)))))
26.3b
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
14.9b
(+.f64 (*.f64 x (sin.f64 y)) z)
34.1b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
20.2b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 z (cos.f64 y)))
32.2b
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
1.8b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
53.9b
(*.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) (pow.f64 (*.f64 (sin.f64 y) x) 3/2)) (/.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) (pow.f64 (*.f64 (sin.f64 y) x) 3/2)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
28.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
28.6b
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
37.4b
(*.f64 (sin.f64 y) x)
25.9b
(*.f64 (cos.f64 y) z)
40.0b
z
Compiler

Compiled 985 to 572 computations (41.9% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts
2 → 40
Calls

15 calls:

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

rewrite72.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
121334
2250734
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) x)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (*.f64 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simplify136.0ms (1.4%)

Algorithm
egg-herbie
Rules
1350×fma-def
772×+-commutative
754×times-frac
712×associate-+r-
704×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01993754
15223676
223513570
376833570
Stop Event
node limit
Counts
106 → 120
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1))))
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(fabs.f64 (*.f64 (sin.f64 y) x))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3/2)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/4))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))
(fabs.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y)))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x z))
(fma.f64 y x (fma.f64 z (*.f64 -1/2 (*.f64 y y)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) (fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) -1)
(*.f64 x (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(*.f64 x (sin.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1))
(*.f64 x (sin.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 x (sin.f64 y))) (log1p.f64 (*.f64 x (sin.f64 y))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 3)) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 x (sin.f64 y))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x (sin.f64 y))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x (sin.f64 y)))))))
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 x (sin.f64 y))
(fabs.f64 (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 x (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(*.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 x (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 x (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(*.f64 x (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(*.f64 x (sin.f64 y))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 x (*.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (sin.f64 y) (*.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 x (*.f64 (sin.f64 y) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 1)
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 3)
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2) 1/2)
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3) 1/3)
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 2))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fabs.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

localize5.0ms (0%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize32.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1510×add-sqr-sqrt
1500×*-un-lft-identity
1378×add-cube-cbrt
1360×add-cbrt-cube
1344×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
115613
2183113
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 x (sin.f64 y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (sin.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) z)))))))

simplify63.0ms (0.6%)

Algorithm
egg-herbie
Rules
1154×associate-*r*
960×*-commutative
936×associate-*l*
856×times-frac
574×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074828
1191820
2776804
33567804
47352804
Stop Event
node limit
Counts
58 → 41
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) z)
(-.f64 (+.f64 1 (fma.f64 x (sin.f64 y) z)) 1)
(*.f64 (fma.f64 x (sin.f64 y) z) 1)
(*.f64 1 (fma.f64 x (sin.f64 y) z))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z)))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))
(/.f64 (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) z))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (sin.f64 y)) z))))
(pow.f64 (fma.f64 x (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z)))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z)))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) z)))
Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))
(fma.f64 y x (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 x (*.f64 -1/6 (pow.f64 y 3)) z))
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) z)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(-.f64 (+.f64 1 (fma.f64 x (sin.f64 y) z)) 1)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (fma.f64 x (sin.f64 y) z) 1)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 1 (fma.f64 x (sin.f64 y) z))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(/.f64 (-.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) z))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (sin.f64 y)) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 x (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (*.f64 (sin.f64 y) (-.f64 (*.f64 (sin.f64 y) x) z)))))
(pow.f64 (fma.f64 x (sin.f64 y) z) 1)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) 2)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 1/3)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) z)) 1))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (cos.f64 y))
0.1b
(*.f64 x (sin.f64 y))
0.5b
(cbrt.f64 (*.f64 z (cos.f64 y)))
0.8b
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series22.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
13.0ms
z
@0
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
3.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
1.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (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 z (cos.f64 y))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (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)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (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 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))))

simplify128.0ms (1.3%)

Algorithm
egg-herbie
Rules
1176×fma-def
908×*-commutative
784×distribute-lft-in
740×distribute-rgt-in
528×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01971795
15391709
219021635
357101617
Stop Event
node limit
Counts
81 → 92
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z)
(fma.f64 z (*.f64 (*.f64 y y) -1/2) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (*.f64 (*.f64 y y) -1/2) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/24)) (pow.f64 y 4) (fma.f64 z (*.f64 (*.f64 y y) -1/2) z))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (*.f64 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (*.f64 1/3 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (fma.f64 -1/6 (*.f64 (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z)) (*.f64 -1/9 (*.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72))) (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (fma.f64 (*.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 (*.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (*.f64 (*.f64 y y) -1/2) (fma.f64 (fma.f64 1/3 (*.f64 z -23/2160) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 (*.f64 z -1/24) -1/9 (*.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 -1/6 (cbrt.f64 z)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) z)))
(fma.f64 z (*.f64 (*.f64 y y) -1/2) (fma.f64 (+.f64 (fma.f64 1/3 (*.f64 z -23/2160) (*.f64 (*.f64 z -1/24) -1/9)) (*.f64 (cbrt.f64 z) (+.f64 (*.f64 -1/6 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z))))) (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 2/3 (*.f64 z -23/2160)) (*.f64 (*.f64 z -1/24) -1/9)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/24)) (pow.f64 y 4) z)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 (pow.f64 y 4) z) -1/24)) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(fma.f64 (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 z z)))) (*.f64 z -1/72) (fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 z z)))) (+.f64 (*.f64 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (pow.f64 y 6)) (*.f64 (*.f64 (pow.f64 y 4) z) -1/24))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (fma.f64 (*.f64 z -23/2160) (pow.f64 y 6) (*.f64 (*.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 (cbrt.f64 z) (*.f64 -1/6 (*.f64 y y)) (cbrt.f64 z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
0.1b
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4)
0.1b
(*.f64 (cos.f64 y) z)
0.2b
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
Compiler

Compiled 65 to 18 computations (72.3% saved)

series100.0ms (1%)

Counts
4 → 120
Calls

33 calls:

TimeVariablePointExpression
33.0ms
y
@inf
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4)
17.0ms
y
@-inf
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4)
2.0ms
z
@inf
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
2.0ms
x
@0
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4)
1.0ms
x
@inf
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4)

rewrite106.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1254×unswap-sqr
868×swap-sqr
572×sqr-pow
516×pow-sqr
374×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01686
133086
2362886
Stop Event
node limit
Counts
4 → 141
Calls
Call 1
Inputs
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
(*.f64 (cos.f64 y) z)
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (sin.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) x) 1) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 y) x) 1)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) x) 1) 1) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) x) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 y) x) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) x) 1) (*.f64 (*.f64 (sin.f64 y) x) 1)) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (*.f64 (sin.f64 y) x) 1) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))))
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(sin.f64 y) x (*.f64 (cos.f64 y) z))))))))

simplify229.0ms (2.3%)

Algorithm
egg-herbie
Rules
1122×associate-*r*
944×times-frac
848×+-commutative
756×associate-*l*
672×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049113277
1152111905
2687111899
Stop Event
node limit
Counts
261 → 253
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 z 3) 1/4)
(+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 z) 1/4) (*.f64 y x))) (pow.f64 (pow.f64 z 3) 1/4))
(+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 z) 1/4) (*.f64 y x))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 3)) 1/4) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9/32 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 3/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1))))) (pow.f64 (pow.f64 z 3) 1/4)))
(+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 z) 1/4) (*.f64 y x))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 9/32 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1) x) z)) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 1/8 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 3 (/.f64 x z)) (*.f64 -1 (/.f64 x z))))))) (pow.f64 y 3)) (pow.f64 (*.f64 1 (pow.f64 z 3)) 1/4)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 3)) 1/4) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9/32 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 3/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1))))) (pow.f64 (pow.f64 z 3) 1/4))))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) 1/4)
(+.f64 (pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) 1/4) (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/4) (*.f64 (sin.f64 y) x))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) 1/4) (*.f64 (+.f64 (*.f64 9/32 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (*.f64 -3/8 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2))) (+.f64 (pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) 1/4) (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/4) (*.f64 (sin.f64 y) x)))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) 1/4) (*.f64 (+.f64 (*.f64 9/32 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (*.f64 -3/8 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))) (*.f64 -9/32 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))) (pow.f64 x 3)) (pow.f64 (*.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) 1/4)) (+.f64 (pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) 1/4) (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/4) (*.f64 (sin.f64 y) x))))))
(exp.f64 (*.f64 3/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sin.f64 y)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) x) 1) (*.f64 (*.f64 (sin.f64 y) x) 1)) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (*.f64 (sin.f64 y) x) 1) (*.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 4)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 3)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 z 3) 1/4)
(+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 z) 1/4) (*.f64 y x))) (pow.f64 (pow.f64 z 3) 1/4))
(fma.f64 3/4 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/4)) (pow.f64 (pow.f64 z 3) 1/4))
(fma.f64 3/4 (*.f64 y (*.f64 x (pow.f64 (/.f64 1 z) 1/4))) (pow.f64 (pow.f64 z 3) 1/4))
(+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 z) 1/4) (*.f64 y x))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 3)) 1/4) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9/32 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 3/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1))))) (pow.f64 (pow.f64 z 3) 1/4)))
(fma.f64 3/4 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/4)) (fma.f64 (pow.f64 (pow.f64 z 3) 1/4) (*.f64 (*.f64 y y) (fma.f64 9/32 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 3/8 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 z z)) -1)))) (pow.f64 (pow.f64 z 3) 1/4)))
(fma.f64 3/4 (*.f64 y (*.f64 x (pow.f64 (/.f64 1 z) 1/4))) (*.f64 (+.f64 (*.f64 y (*.f64 y (fma.f64 9/32 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 3/8 (fma.f64 (*.f64 (/.f64 x z) (/.f64 x z)) -1 -1))))) 1) (pow.f64 (pow.f64 z 3) 1/4)))
(fma.f64 3/4 (*.f64 y (*.f64 x (pow.f64 (/.f64 1 z) 1/4))) (*.f64 (+.f64 1 (*.f64 y (*.f64 y (fma.f64 9/32 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 3/8 (-.f64 -1 (*.f64 (/.f64 x z) (/.f64 x z)))))))) (pow.f64 (pow.f64 z 3) 1/4)))
(+.f64 (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 z) 1/4) (*.f64 y x))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 9/32 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1) x) z)) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 1/8 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 3 (/.f64 x z)) (*.f64 -1 (/.f64 x z))))))) (pow.f64 y 3)) (pow.f64 (*.f64 1 (pow.f64 z 3)) 1/4)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 3)) 1/4) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 9/32 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 3/8 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) 1))))) (pow.f64 (pow.f64 z 3) 1/4))))
(fma.f64 3/4 (*.f64 (*.f64 y x) (pow.f64 (/.f64 1 z) 1/4)) (fma.f64 (*.f64 (pow.f64 y 3) (fma.f64 9/32 (/.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 z z)) -1) (/.f64 z x)) (fma.f64 9/128 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 1/8 (fma.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (/.f64 x z) 2)))))) (pow.f64 (pow.f64 z 3) 1/4) (fma.f64 (pow.f64 (pow.f64 z 3) 1/4) (*.f64 (*.f64 y y) (fma.f64 9/32 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 3/8 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 z z)) -1)))) (pow.f64 (pow.f64 z 3) 1/4))))
(+.f64 (*.f64 (pow.f64 (pow.f64 z 3) 1/4) (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 9/32 (/.f64 x (/.f64 z (fma.f64 (*.f64 (/.f64 x z) (/.f64 x z)) -1 -1))) (fma.f64 9/128 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (/.f64 x z) 1/4))))) (*.f64 y (*.f64 y (fma.f64 9/32 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 3/8 (fma.f64 (*.f64 (/.f64 x z) (/.f64 x z)) -1 -1))))))) (fma.f64 3/4 (*.f64 y (*.f64 x (pow.f64 (/.f64 1 z) 1/4))) (pow.f64 (pow.f64 z 3) 1/4)))
(+.f64 (fma.f64 3/4 (*.f64 y (*.f64 x (pow.f64 (/.f64 1 z) 1/4))) (pow.f64 (pow.f64 z 3) 1/4)) (*.f64 (pow.f64 (pow.f64 z 3) 1/4) (+.f64 (*.f64 y (*.f64 y (fma.f64 9/32 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 3/8 (-.f64 -1 (*.f64 (/.f64 x z) (/.f64 x z))))))) (*.f64 (pow.f64 y 3) (fma.f64 9/32 (/.f64 x (/.f64 z (-.f64 -1 (*.f64 (/.f64 x z) (/.f64 x z))))) (fma.f64 9/128 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 (/.f64 x z) 1/4))))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) 3) 1/4)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/4)
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) 1/4)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/4)
(+.f64 (pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) 1/4) (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/4) (*.f64 (sin.f64 y) x))))
(+.f64 (*.f64 3/4 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 1/4))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/4))
(fma.f64 3/4 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/4))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) 1/4) (*.f64 (+.f64 (*.f64 9/32 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (*.f64 -3/8 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))) (pow.f64 x 2))) (+.f64 (pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) 1/4) (*.f64 3/4 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1/4) (*.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/4) (*.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))) -3/32)) (+.f64 (*.f64 3/4 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 1/4))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/4)))
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 3/4 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4))) (*.f64 (+.f64 (*.f64 x (*.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) -3/32) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) 1) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/4)))
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 3/4 (pow.f64 (/.f64 (/.f64 1 z) (cos.f64 y)) 1/4))) (*.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) -3/32) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/4)))
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(pow.f64 (*.f64 z (cos.f64 y)) 3/4)
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(exp.f64 (*.f64 3/4 (+.f64 (log.f64 (*.f64 -1 (cos.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (neg.f64 (cos.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z)))))
(pow.f64 (exp.f64 3/4) (-.f64 (log.f64 (neg.f64 (cos.f64 y))) (log.f64 (/.f64 -1 z))))
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z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 3/2))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3) 1/6))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(fabs.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4) 3) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/4) 3)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))

eval339.0ms (3.5%)

Compiler

Compiled 19766 to 8054 computations (59.3% saved)

prune164.0ms (1.7%)

Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New61011621
Fresh91019
Picked101
Done066
Total62027647
Error
0.0b
Counts
647 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
0.1b
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
14.9b
(fma.f64 x (sin.f64 y) z)
32.4b
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 4)
15.7b
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)
45.2b
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z))))
0.3b
(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
33.3b
(+.f64 (*.f64 y x) z)
33.7b
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
0.8b
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
0.8b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
34.7b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
0.4b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
19.6b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
0.1b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
35.1b
(+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log.f64 (*.f64 z (cos.f64 y)))))
26.3b
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
14.9b
(+.f64 (*.f64 x (sin.f64 y)) z)
34.1b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
32.4b
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) (pow.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/4) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) 3/4))
15.7b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))
1.8b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))
28.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
37.4b
(*.f64 (sin.f64 y) x)
25.9b
(*.f64 (cos.f64 y) z)
44.9b
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
40.0b
z
Compiler

Compiled 809 to 496 computations (38.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 14 computations (68.9% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite88.0ms (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
01452
127952
2305252
Stop Event
node limit
Counts
2 → 100
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
Outputs
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simplify128.0ms (1.3%)

Algorithm
egg-herbie
Rules
1230×distribute-rgt-in
1216×distribute-lft-in
892×associate-/r/
728×associate-/l/
476×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03367394
19866828
242166824
Stop Event
node limit
Counts
172 → 184
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 z 2))) (+.f64 (*.f64 -1/6 (/.f64 x (pow.f64 z 2))) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) x) z))))) (/.f64 1 z))))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 1 (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 y) (neg.f64 x))) (*.f64 -1 (*.f64 z (neg.f64 (cos.f64 y)))))
(+.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) -1) (*.f64 (*.f64 z (neg.f64 (cos.f64 y))) -1))
(+.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) (neg.f64 (*.f64 z (neg.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(*.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 -1 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (neg.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) 1) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (cbrt.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/6))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1)
(*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))
(*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 -1 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (neg.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 -1 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1) (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 1) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)) 1/6))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1)
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)) 1/3)
(neg.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
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(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -2)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3/2))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)) 1/6))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1)
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1)
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -2)
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3)
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3)))
(neg.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (sin.f64 y) z)
0.1b
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
38.2b
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
Compiler

Compiled 29 to 11 computations (62.1% saved)

series7.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
1.0ms
y
@-inf
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
1.0ms
y
@inf
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
0.0ms
x
@-inf
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
0.0ms
y
@0
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)

rewrite120.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
842×*-commutative
838×cbrt-prod
772×sqrt-prod
702×unswap-sqr
518×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
124132
2256332
Stop Event
node limit
Counts
2 → 107
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) z) (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (*.f64 z (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (-.f64 (*.f64 x (sin.f64 y)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (sin.f64 y) z) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (sqrt.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 1/4) (pow.f64 (fma.f64 x (sin.f64 y) z) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3/4) (pow.f64 (fma.f64 x (sin.f64 y) z) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z))) (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2)) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (/.f64 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(pow.f64 (fma.f64 x (sin.f64 y) z) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (pow.f64 (fma.f64 x (sin.f64 y) z) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) z) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (-.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z))) (-.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) 1) (-.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (sin.f64 y)) 2)) (-.f64 z (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) z))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 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y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))))))

simplify130.0ms (1.3%)

Algorithm
egg-herbie
Rules
1542×associate-/l*
1308×associate-/r*
982×associate-*r*
810×associate-*l*
800×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03584294973997
110896271
247776271
Stop Event
node limit
Counts
179 → 224
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(pow.f64 z 3)
(+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 (pow.f64 z 2) (sin.f64 y)))) (pow.f64 z 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 (pow.f64 z 2) (sin.f64 y)))) (pow.f64 z 3)))
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 (pow.f64 z 2) (sin.f64 y)))) (pow.f64 z 3))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 (pow.f64 z 2) (sin.f64 y)) (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 z 3) (*.f64 (+.f64 (*.f64 (pow.f64 z 2) (sin.f64 y)) (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 -2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 -2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x)) (pow.f64 z 3))))
(pow.f64 z 3)
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 2 (*.f64 (pow.f64 z 2) x))) y) (pow.f64 z 3))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 2 (*.f64 (pow.f64 z 2) x))) y) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 z (pow.f64 x 2))) (*.f64 z (pow.f64 x 2))))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 2 (*.f64 (pow.f64 z 2) x))) y) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 z 2) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 2) x)) (pow.f64 x 3)))) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 z (pow.f64 x 2))) (*.f64 z (pow.f64 x 2)))))))
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
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(/.f64 (pow.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))) 3))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 6))
(fabs.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 x (sin.f64 y) z))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))
Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (+.f64 (fma.f64 y x z) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z)))
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(pow.f64 z 3)
(+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 (pow.f64 z 2) (sin.f64 y)))) (pow.f64 z 3))
(fma.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z 3))
(*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 (pow.f64 z 2) (sin.f64 y)))) (pow.f64 z 3)))
(fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (fma.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z 3)))
(fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y)))))
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 (pow.f64 z 2) (sin.f64 y)))) (pow.f64 z 3))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z 3)))
(+.f64 (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y)))))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y))))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 (pow.f64 z 2) (sin.f64 y)) (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x)))
(+.f64 (fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (*.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z)))))
(+.f64 (*.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2))) (fma.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(+.f64 (*.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2))) (fma.f64 x (*.f64 3 (*.f64 z (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 z 3) (*.f64 (+.f64 (*.f64 (pow.f64 z 2) (sin.f64 y)) (*.f64 2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z 3)))
(+.f64 (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y)))))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y))))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 -2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (neg.f64 (*.f64 x (*.f64 (*.f64 (sin.f64 y) (*.f64 z z)) -3))))
(-.f64 (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (*.f64 x (*.f64 (*.f64 (sin.f64 y) (*.f64 z z)) -3)))
(-.f64 (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (*.f64 x (*.f64 (*.f64 z z) (*.f64 (sin.f64 y) -3))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (sin.f64 y))) (*.f64 -2 (*.f64 (pow.f64 z 2) (sin.f64 y)))) x)) (pow.f64 z 3))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 -1 (*.f64 x (*.f64 (*.f64 (sin.f64 y) (*.f64 z z)) -3)) (pow.f64 z 3)))
(+.f64 (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (-.f64 (pow.f64 z 3) (*.f64 x (*.f64 (*.f64 (sin.f64 y) (*.f64 z z)) -3))))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (-.f64 (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 z 3)) (*.f64 x (*.f64 (*.f64 z z) (*.f64 (sin.f64 y) -3)))))
(pow.f64 z 3)
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 2 (*.f64 (pow.f64 z 2) x))) y) (pow.f64 z 3))
(fma.f64 (*.f64 3 (*.f64 x (*.f64 z z))) y (pow.f64 z 3))
(fma.f64 y (*.f64 (*.f64 3 x) (*.f64 z z)) (pow.f64 z 3))
(fma.f64 y (*.f64 3 (*.f64 z (*.f64 z x))) (pow.f64 z 3))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 2 (*.f64 (pow.f64 z 2) x))) y) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 z (pow.f64 x 2))) (*.f64 z (pow.f64 x 2))))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 x (*.f64 z z))) y (pow.f64 z 3)) (*.f64 (*.f64 y y) (*.f64 3 (*.f64 z (*.f64 x x)))))
(fma.f64 y (*.f64 (*.f64 3 x) (*.f64 z z)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 3 z) (*.f64 x x)) (pow.f64 z 3)))
(fma.f64 y (*.f64 3 (*.f64 z (*.f64 z x))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 3 z) (*.f64 x x)) (pow.f64 z 3)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 2 (*.f64 (pow.f64 z 2) x))) y) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 z 2) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z 2) x)) (pow.f64 x 3)))) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2 (*.f64 z (pow.f64 x 2))) (*.f64 z (pow.f64 x 2)))))))
(fma.f64 (*.f64 3 (*.f64 x (*.f64 z z))) y (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 x (*.f64 z z)) (fma.f64 -1/6 (*.f64 x (*.f64 z z)) (pow.f64 x 3))) (+.f64 (pow.f64 z 3) (*.f64 (*.f64 y y) (*.f64 3 (*.f64 z (*.f64 x x)))))))
(fma.f64 y (*.f64 (*.f64 3 x) (*.f64 z z)) (fma.f64 (pow.f64 y 3) (+.f64 (pow.f64 x 3) (*.f64 (*.f64 z (*.f64 z x)) -1/2)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 3 z) (*.f64 x x)) (pow.f64 z 3))))
(fma.f64 y (*.f64 3 (*.f64 z (*.f64 z x))) (fma.f64 (pow.f64 y 3) (+.f64 (pow.f64 x 3) (*.f64 (*.f64 z (*.f64 z x)) -1/2)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 3 z) (*.f64 x x)) (pow.f64 z 3))))
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(pow.f64 (+.f64 z (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 z (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3))
(fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3))
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 z (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x)) (pow.f64 z 2))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (*.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z)))))
(+.f64 (*.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2))) (fma.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(+.f64 (*.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2))) (fma.f64 x (*.f64 3 (*.f64 z (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 z (+.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 z 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) x)) (pow.f64 z 2)))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 x (*.f64 3 (*.f64 (sin.f64 y) (*.f64 z z))) (pow.f64 z 3)))
(+.f64 (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y)))))
(+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (fma.f64 z (*.f64 3 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 3 x) (sin.f64 y))))))
(pow.f64 z 3)
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(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (*.f64 x (sin.f64 y)))) (*.f64 (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2)))) (-.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (*.f64 x (sin.f64 y))) (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z z) (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (pow.f64 (fma.f64 x (sin.f64 y) z) 2)))) (-.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3) (/.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2) (-.f64 (*.f64 (sin.f64 y) x) z)) (*.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2) (-.f64 (*.f64 (sin.f64 y) x) z))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))) (pow.f64 (fma.f64 x (sin.f64 y) z) 3)) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (*.f64 x (sin.f64 y))) 3) (pow.f64 (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (*.f64 x (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2))) (*.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (*.f64 x (sin.f64 y))) (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) 3) (pow.f64 (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 2) (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) (pow.f64 (*.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) (-.f64 (*.f64 z (pow.f64 (fma.f64 x (sin.f64 y) z) 2)) (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (fma.f64 x (sin.f64 y) z) 2))))))
(/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 (fma.f64 (sin.f64 y) x z) 6) (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (fma.f64 (sin.f64 y) x z) 2)) 3)) (fma.f64 (*.f64 z (pow.f64 (fma.f64 (sin.f64 y) x z) 2)) (*.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2) (-.f64 z (*.f64 (sin.f64 y) x))) (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (fma.f64 (sin.f64 y) x z) 4))))
(/.f64 (fma.f64 (pow.f64 z 3) (pow.f64 (fma.f64 (sin.f64 y) x z) 6) (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (fma.f64 (sin.f64 y) x z) 6))) (fma.f64 (*.f64 z (pow.f64 (fma.f64 (sin.f64 y) x z) 2)) (*.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2) (-.f64 z (*.f64 (sin.f64 y) x))) (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (fma.f64 (sin.f64 y) x z) 4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))) (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)) (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3))) (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3)))))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) 3) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) z) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z z)) 3) (pow.f64 (-.f64 (*.f64 (sin.f64 y) x) z) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z (-.f64 z (*.f64 x (sin.f64 y))))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (-.f64 z (*.f64 (sin.f64 y) x)))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 3) (pow.f64 (fma.f64 z (-.f64 z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2)) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) 3) (pow.f64 (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z))) 3))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 6))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(fabs.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(log.f64 (exp.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3) 3))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(exp.f64 (*.f64 3 (log.f64 (fma.f64 x (sin.f64 y) z))))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3)))
(pow.f64 (fma.f64 x (sin.f64 y) z) 3)
(pow.f64 (fma.f64 (sin.f64 y) x z) 3)

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 14 computations (67.4% saved)

series7.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
2.0ms
z
@0
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
1.0ms
z
@-inf
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
0.0ms
y
@inf
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
0.0ms
z
@inf
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)

rewrite64.0ms (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 z (cos.f64 y))) 2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (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)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (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 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))))))

simplify63.0ms (0.6%)

Algorithm
egg-herbie
Rules
1808×distribute-lft-in
1794×distribute-rgt-in
838×fma-def
816×unswap-sqr
608×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571729
13641535
212961345
340141331
Stop Event
node limit
Counts
69 → 91
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (*.f64 -1/4 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (*.f64 z 1/16)) z))
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z)))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (*.f64 z 1/16)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z))))
(*.f64 (+.f64 (*.f64 (*.f64 -1/4 y) y) 1) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/4 y) y) 1) (sqrt.f64 z)) (*.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 1/2 (pow.f64 y 4)) (-.f64 (*.f64 z 1/24) (*.f64 z 1/16)))))
(fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/48) (*.f64 (pow.f64 y 4) 1/2)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (fma.f64 (*.f64 y y) -1/4 1) (sqrt.f64 z) (*.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (pow.f64 y 4) (*.f64 1/2 (*.f64 z -1/48)))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (*.f64 -1/4 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(fma.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (+.f64 (*.f64 z -1/720) (*.f64 1/4 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z))))))
(+.f64 (fma.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z)) (*.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 1/2 (pow.f64 y 4)) (-.f64 (*.f64 z 1/24) (*.f64 z 1/16))))) (fma.f64 1/2 (*.f64 (fma.f64 z -1/720 (*.f64 (-.f64 (*.f64 z 1/24) (*.f64 z 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(fma.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 (/.f64 1 z)) (fma.f64 (*.f64 z -1/48) 1/4 (*.f64 z -1/720)))) (fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/48) (*.f64 (pow.f64 y 4) 1/2)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))))
(+.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 z))) (+.f64 (*.f64 (pow.f64 y 6) (fma.f64 -1/4 (*.f64 z 1/48) (*.f64 z -1/720))) (*.f64 (pow.f64 y 4) (*.f64 z -1/48)))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1))
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
0.3b
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
0.5b
(pow.f64 (cbrt.f64 z) 2)
0.6b
(cbrt.f64 z)
Compiler

Compiled 53 to 22 computations (58.5% saved)

series13.0ms (0.1%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
2.0ms
z
@0
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
2.0ms
y
@inf
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
1.0ms
y
@inf
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
1.0ms
y
@0
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))

rewrite71.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1900×add-sqr-sqrt
1880×*-un-lft-identity
1742×add-cube-cbrt
1714×add-cbrt-cube
206×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01148
121848
2249648
Stop Event
node limit
Counts
4 → 67
Calls
Call 1
Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))))))

simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
1376×associate-+r+
1312×associate-+l+
1204×associate-/r*
1084×unswap-sqr
656×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731621
13771595
214551541
351681541
Stop Event
node limit
Counts
103 → 109
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 z 2) 1/3)
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 6))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(pow.f64 (pow.f64 z 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(fabs.f64 (cbrt.f64 z))
(log.f64 (exp.f64 (cbrt.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(exp.f64 (log.f64 (cbrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(*.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)) 1)
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z z)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cbrt.f64 z))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 y (*.f64 z y)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 z 2) 1/3)
(cbrt.f64 (*.f64 z z))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 (*.f64 z z)) (*.f64 -1/2 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y (cbrt.f64 (*.f64 z z)))) (cbrt.f64 (*.f64 z z)))
(*.f64 (fma.f64 -1/2 (*.f64 y y) 1) (cbrt.f64 (*.f64 z z)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(fma.f64 1/24 (*.f64 (pow.f64 y 4) (cbrt.f64 (*.f64 z z))) (+.f64 (cbrt.f64 (*.f64 z z)) (*.f64 -1/2 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))))))
(fma.f64 1/24 (*.f64 (pow.f64 y 4) (cbrt.f64 (*.f64 z z))) (fma.f64 -1/2 (*.f64 y (*.f64 y (cbrt.f64 (*.f64 z z)))) (cbrt.f64 (*.f64 z z))))
(fma.f64 -1/2 (*.f64 y (*.f64 y (cbrt.f64 (*.f64 z z)))) (*.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (cbrt.f64 (*.f64 z z))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 6))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) (cbrt.f64 (*.f64 z z))) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (cbrt.f64 (*.f64 z z))) (+.f64 (cbrt.f64 (*.f64 z z)) (*.f64 -1/2 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z)))))))
(fma.f64 -1/720 (*.f64 (pow.f64 y 6) (cbrt.f64 (*.f64 z z))) (fma.f64 1/24 (*.f64 (pow.f64 y 4) (cbrt.f64 (*.f64 z z))) (fma.f64 -1/2 (*.f64 y (*.f64 y (cbrt.f64 (*.f64 z z)))) (cbrt.f64 (*.f64 z z)))))
(+.f64 (*.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (cbrt.f64 (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(cbrt.f64 z)
(*.f64 (cbrt.f64 z) 1)
(cbrt.f64 z)
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(cbrt.f64 z)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(*.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(cbrt.f64 z)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (fabs.f64 (cbrt.f64 (cbrt.f64 z))))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 1)
(cbrt.f64 z)
(pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)
(cbrt.f64 z)
(pow.f64 (pow.f64 z 1/6) 2)
(cbrt.f64 z)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(cbrt.f64 z)
(sqrt.f64 (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 z)
(fabs.f64 (cbrt.f64 z))
(cbrt.f64 z)
(log.f64 (exp.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))
(cbrt.f64 z)
(expm1.f64 (log1p.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(exp.f64 (log.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) 1/3))
(cbrt.f64 z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))
(cbrt.f64 z)
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(cbrt.f64 z)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 (cbrt.f64 z) 2) 1)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 1 (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (sqrt.f64 z) (pow.f64 z 1/6))
(*.f64 (pow.f64 z 1/6) (sqrt.f64 z))
(*.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))
(*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))
(pow.f64 (cbrt.f64 z) 2)
(sqrt.f64 (*.f64 z (cbrt.f64 z)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (cbrt.f64 z) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))
(pow.f64 (cbrt.f64 z) 2)
(cbrt.f64 (*.f64 z z))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (cbrt.f64 z) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))
(pow.f64 (cbrt.f64 z) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) 1))
(pow.f64 (cbrt.f64 z) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (cbrt.f64 z) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)) 1)
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (cos.f64 y))) 2)
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))) 3)
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z z)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cbrt.f64 z))))
(sqrt.f64 (*.f64 (*.f64 z (cbrt.f64 z)) (pow.f64 (cos.f64 y) 2)))
(sqrt.f64 (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cos.f64 y) 2))))
(sqrt.f64 (*.f64 z (*.f64 (cbrt.f64 z) (pow.f64 (cos.f64 y) 2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y)))))
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (*.f64 z z)))
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) 3))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))) 1))
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cos.f64 y))))
(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))

eval313.0ms (3.2%)

Compiler

Compiled 18763 to 7767 computations (58.6% saved)

prune259.0ms (2.7%)

Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New85119870
Fresh7916
Picked101
Done4610
Total86334897
Error
0.0b
Counts
897 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
0.1b
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
14.9b
(fma.f64 x (sin.f64 y) z)
41.5b
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z)
0.3b
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
45.7b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
15.7b
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)
26.6b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
45.2b
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z))))
32.3b
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2))
26.0b
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
33.4b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
37.5b
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
40.1b
(/.f64 1 (/.f64 1 z))
40.8b
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
32.3b
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
28.8b
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -2)))))
33.3b
(+.f64 (*.f64 y x) z)
34.7b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
18.7b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
0.4b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
0.1b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.9b
(+.f64 (*.f64 x (sin.f64 y)) z)
15.7b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))
28.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
35.7b
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) z)))
37.4b
(*.f64 (sin.f64 y) x)
25.9b
(*.f64 (cos.f64 y) z)
1.2b
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) -2)))
47.1b
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
53.7b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
48.8b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
48.8b
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
40.0b
z
Compiler

Compiled 931 to 608 computations (34.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 46 to 15 computations (67.4% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite95.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
970×unswap-sqr
730×swap-sqr
494×sqr-pow
470×pow-sqr
416×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01535
129623
2340723
Stop Event
node limit
Counts
1 → 102
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
Outputs
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(cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))

simplify168.0ms (1.7%)

Algorithm
egg-herbie
Rules
1380×associate-+r+
1010×associate-+l+
758×associate-+r-
712×associate-+l-
690×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04168068
113306214
255456214
Stop Event
node limit
Counts
138 → 197
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (pow.f64 x 2))) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 y) x) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))) (pow.f64 x 3))))))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))) x)) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y))) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y))) (*.f64 z (cos.f64 y))) (sin.f64 y)))) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (sin.f64 y) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (sin.f64 y) x))) (*.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)) (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))))) (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (sin.f64 y) x))) (*.f64 (sin.f64 y) x)))))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) z))) (pow.f64 y 2))) z))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (*.f64 z x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 z 2))) (+.f64 (*.f64 -1/6 (/.f64 x (pow.f64 z 2))) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) x) z))) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) z))) x) z))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) z))) (pow.f64 y 2))) z)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (pow.f64 z 2))) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (cos.f64 y)) (*.f64 (sin.f64 y) x)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (pow.f64 z 2))) (*.f64 (sin.f64 y) x))))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)))) z)) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)))) (*.f64 (sin.f64 y) x)) (cos.f64 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 y) 2)))) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (cos.f64 y)))) z)) (*.f64 (sin.f64 y) x))))
(*.f64 (cos.f64 y) z)
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)) (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(neg.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Outputs
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (pow.f64 x 2))) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y))))) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (*.f64 (*.f64 0 x) x)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 y) x) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (cos.f64 y) z))) (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))) (pow.f64 x 3))))))
(fma.f64 z (cos.f64 y) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y))))) (fma.f64 (sin.f64 y) x (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 0 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 0 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))))) (pow.f64 x 3))))))
(fma.f64 z (cos.f64 y) (-.f64 (fma.f64 (sin.f64 y) x (*.f64 (*.f64 0 x) x)) (*.f64 (fma.f64 (/.f64 0 z) (/.f64 (sin.f64 y) (cos.f64 y)) 0) (pow.f64 x 3))))
(-.f64 (fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (*.f64 (*.f64 0 x) x))) (*.f64 (fma.f64 (/.f64 0 z) (/.f64 (sin.f64 y) (cos.f64 y)) 0) (pow.f64 x 3)))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))) x)) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (sin.f64 y))) x) (*.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (/.f64 0 x)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y))) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y))) (*.f64 z (cos.f64 y))) (sin.f64 y)))) (pow.f64 x 2))) (*.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (sin.f64 y))) x) (fma.f64 -1 (/.f64 (+.f64 (*.f64 0 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 2))) (/.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (sin.f64 y))) (/.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 x x)) (*.f64 (sin.f64 y) x))))
(+.f64 (fma.f64 (sin.f64 y) x (/.f64 (*.f64 (/.f64 0 (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 x x))) (fma.f64 z (cos.f64 y) (/.f64 0 x)))
(+.f64 (fma.f64 (sin.f64 y) x (/.f64 0 x)) (fma.f64 z (cos.f64 y) (/.f64 (*.f64 (/.f64 0 (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 x x))))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (sin.f64 y) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (sin.f64 y) x))) (*.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (+.f64 (*.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (fma.f64 -1 (*.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (*.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (*.f64 z (*.f64 z 0))))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (sin.f64 y) x)) (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))))) (sin.f64 y))) (+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (pow.f64 (sin.f64 y) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (*.f64 (sin.f64 y) x))) (*.f64 (sin.f64 y) x)))))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (fma.f64 (cos.f64 y) z (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (sin.f64 y))) (/.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 0 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 2)))) (*.f64 x x)) (fma.f64 -1 (*.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (*.f64 (sin.f64 y) x)))))
(+.f64 (fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (*.f64 z (*.f64 z 0)))) (/.f64 (*.f64 (/.f64 0 (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (/.f64 0 (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 x x)) (fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (*.f64 z (*.f64 z 0)))))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) z))) (pow.f64 y 2))) z))
(fma.f64 y x (fma.f64 -1 (*.f64 (fma.f64 (-.f64 (/.f64 1/2 z) (neg.f64 (/.f64 (*.f64 x x) (pow.f64 z 3)))) (*.f64 z z) (neg.f64 (/.f64 (*.f64 x x) z))) (*.f64 y y)) z))
(fma.f64 y x (-.f64 z (*.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (/.f64 (*.f64 (neg.f64 x) x) z)) (*.f64 y y))))
(-.f64 (fma.f64 y x z) (*.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (/.f64 (*.f64 (neg.f64 x) x) z)) (*.f64 y y)))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (*.f64 z x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 z 2))) (+.f64 (*.f64 -1/6 (/.f64 x (pow.f64 z 2))) (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) x) z))) (pow.f64 z 2))) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) z))) x) z))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 z)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 x 2) z))) (pow.f64 y 2))) z)))
(fma.f64 y x (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 (-.f64 (/.f64 1/2 z) (neg.f64 (/.f64 (*.f64 x x) (pow.f64 z 3)))) (*.f64 z x) (fma.f64 -1 (*.f64 (*.f64 z z) (fma.f64 1/2 (/.f64 x (*.f64 z z)) (fma.f64 -1/6 (/.f64 x (*.f64 z z)) (/.f64 (-.f64 (/.f64 1/2 z) (neg.f64 (/.f64 (*.f64 x x) (pow.f64 z 3)))) (/.f64 z x))))) (/.f64 (fma.f64 (-.f64 (/.f64 1/2 z) (neg.f64 (/.f64 (*.f64 x x) (pow.f64 z 3)))) (*.f64 z z) (neg.f64 (/.f64 (*.f64 x x) z))) (/.f64 z x))))) (fma.f64 -1 (*.f64 (fma.f64 (-.f64 (/.f64 1/2 z) (neg.f64 (/.f64 (*.f64 x x) (pow.f64 z 3)))) (*.f64 z z) (neg.f64 (/.f64 (*.f64 x x) z))) (*.f64 y y)) z)))
(fma.f64 y x (-.f64 (-.f64 z (*.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (/.f64 (*.f64 (neg.f64 x) x) z)) (*.f64 y y))) (*.f64 (pow.f64 y 3) (fma.f64 (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (*.f64 z x) (-.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (/.f64 (*.f64 (neg.f64 x) x) z)) (/.f64 z x)) (*.f64 z (*.f64 z (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) z) x) (*.f64 (/.f64 (/.f64 x z) z) 1/3)))))))))
(-.f64 (-.f64 (fma.f64 y x z) (*.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (/.f64 (*.f64 (neg.f64 x) x) z)) (*.f64 y y))) (*.f64 (pow.f64 y 3) (fma.f64 (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (*.f64 z x) (-.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) (/.f64 (*.f64 (neg.f64 x) x) z)) (/.f64 z x)) (*.f64 z (*.f64 z (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/2 z) (/.f64 x (/.f64 (pow.f64 z 3) x))) z) x) (*.f64 (/.f64 (/.f64 x z) z) 1/3))))))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (sin.f64 y) x))) (pow.f64 z 2))) (*.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (+.f64 (*.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (fma.f64 -1 (*.f64 (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) x)) (*.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) x (*.f64 z (*.f64 z 0))))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 1 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (pow.f64 1 -1/2) (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -1/2) (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -1/2)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2) -1/2) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2) -1/2))
(/.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2) -1) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1/2) (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2)) -1/2) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2)) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) -1/2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) -1/2) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2)) -1/2) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (fma.f64 z (*.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 x)))) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)) (pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2)))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2)) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2)))))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2))) (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2)))))
(neg.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(fabs.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 z))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (0.8%)

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 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 z -1/2) -1) (pow.f64 (pow.f64 z -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 z)) -1) (pow.f64 (cbrt.f64 (pow.f64 z -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x . z)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 z))))))

simplify46.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 1 z) (cos.f64 y))
0.2b
(/.f64 1 (/.f64 (/.f64 1 z) (cos.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) (cos.f64 y))
0.0ms
y
@-inf
(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms
y
@0
(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms
z
@0
(/.f64 (/.f64 1 z) (cos.f64 y))
0.0ms
z
@inf
(/.f64 (/.f64 1 z) (cos.f64 y))

rewrite71.0ms (0.7%)

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) (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (pow.f64 (/.f64 1 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (cos.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (neg.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (/.f64 (sqrt.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (neg.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (*.f64 (cos.f64 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 y) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (*.f64 (sqrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))) (*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (*.f64 (cbrt.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 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simplify97.0ms (1%)

Algorithm
egg-herbie
Rules
1466×associate-+l+
918×associate-/r/
846×unswap-sqr
826×associate-/l/
788×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02973409
17853283
224263269
374473269
Stop Event
node limit
Counts
179 → 175
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 z)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 61/720 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 z) (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 z (cos.f64 y))
(*.f64 z (pow.f64 (/.f64 1 (cos.f64 y)) -1))
(*.f64 -1 (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 (cos.f64 y)))
(*.f64 (neg.f64 z) (/.f64 (cos.f64 y) -1))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (/.f64 (sqrt.f64 (cos.f64 y)) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) -1)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (cbrt.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (cos.f64 y) -1) (neg.f64 z))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))) (*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) 1) (cbrt.f64 z)) (/.f64 (sqrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z -1/2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z -1/2)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (pow.f64 z -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (/.f64 1 (cos.f64 y)) -1) z)
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) 1) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) -1) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (/.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) 1) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (/.f64 -1 z))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 z (/.f64 1 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (/.f64 -1 z))) (cbrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) -1) (cbrt.f64 (neg.f64 z)))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) -1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (cos.f64 y) z)))) 1)
(*.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(*.f64 (/.f64 1 z) (/.f64 1 (cos.f64 y)))
(*.f64 (/.f64 1 z) (neg.f64 (/.f64 -1 (cos.f64 y))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (pow.f64 z -1/2) (/.f64 (pow.f64 z -1/2) (cos.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (cos.f64 y) z)))))
(*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z))
(*.f64 -1 (/.f64 -1 (*.f64 (cos.f64 y) z)))
(*.f64 (/.f64 -1 z) (/.f64 -1 (cos.f64 y)))
(*.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)) -1)
(*.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))))
(*.f64 (/.f64 (pow.f64 z -1/2) (cos.f64 y)) (pow.f64 z -1/2))
(*.f64 (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) 1))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (cos.f64 y)) z)) (/.f64 1 (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 y))) (/.f64 1 (*.f64 (sqrt.f64 (cos.f64 y)) z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 y)) z)))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 y)) z)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) z))) (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 -1 (cos.f64 y)) (/.f64 -1 z))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (cos.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (cos.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (cos.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) -1) (/.f64 -1 z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (cos.f64 y)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) -1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1/3)
(neg.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(*.f64 z (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(/.f64 1 z)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(fma.f64 1/2 (/.f64 (*.f64 y y) z) (/.f64 1 z))
(fma.f64 1/2 (/.f64 y (/.f64 z y)) (/.f64 1 z))
(fma.f64 1/2 (*.f64 (/.f64 y z) y) (/.f64 1 z))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z))))
(fma.f64 1/2 (/.f64 (*.f64 y y) z) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z))))
(fma.f64 1/2 (/.f64 y (/.f64 z y)) (fma.f64 5/24 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 1/2 (*.f64 (/.f64 y z) y) (fma.f64 5/24 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(+.f64 (*.f64 61/720 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z)))))
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(*.f64 (/.f64 -1 (cos.f64 y)) (/.f64 -1 z))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 (pow.f64 z -1/2) (cbrt.f64 (cos.f64 y))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (pow.f64 z -1/2) (cbrt.f64 (cos.f64 y))) (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) 1) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (cos.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 z)) (sqrt.f64 (cos.f64 y))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (sqrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (cbrt.f64 z)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) -1) (/.f64 -1 z))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z -2)) (cos.f64 y)) (/.f64 1 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(*.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (/.f64 1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(*.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 -1))))
(/.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2) -1))
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 z -2)))) (/.f64 1 (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z -2)) (/.f64 1 (*.f64 (cos.f64 y) (cbrt.f64 z))))
(/.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))) (sqrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))) (cbrt.f64 (/.f64 -1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (cos.f64 y) z)))) (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 2))) (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) 1)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (*.f64 (cos.f64 y) z) -1)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 2)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (cos.f64 y) z))) 3)
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(neg.f64 (/.f64 -1 (*.f64 (cos.f64 y) z)))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z)))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(exp.f64 (neg.f64 (log.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 1 z) (cos.f64 y))
(/.f64 1 (*.f64 (cos.f64 y) z))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 24 to 9 computations (62.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

12 calls:

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

rewrite58.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify61.0ms (0.6%)

Algorithm
egg-herbie
Rules
1794×distribute-rgt-in
1794×distribute-lft-in
838×fma-def
816×unswap-sqr
612×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01581657
13651559
212981465
340061451
Stop Event
node limit
Counts
77 → 93
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (*.f64 -1/4 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 1/4)) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1)
(*.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1/2))
(pow.f64 (*.f64 (cos.f64 y) z) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z)
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (*.f64 z 1/16)) z))
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/16 z) (*.f64 1/24 z)) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z)))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (*.f64 z 5/48) (*.f64 z 1/16)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z))))
(*.f64 (+.f64 (*.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))
(+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 z 1/24) (*.f64 z 1/16))) (*.f64 (sqrt.f64 (/.f64 1 z)) 1/2)))
(fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (*.f64 z -1/48)) (sqrt.f64 (/.f64 1 z))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (pow.f64 y 4) (*.f64 1/2 (*.f64 z -1/48))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (*.f64 -1/4 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(fma.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (+.f64 (*.f64 z -1/720) (*.f64 1/4 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 z 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) (*.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (*.f64 -1/4 (*.f64 (*.f64 y y) (sqrt.f64 z))))))
(+.f64 (fma.f64 -1/4 (*.f64 y (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 z 1/24) (*.f64 z 1/16))) (*.f64 (sqrt.f64 (/.f64 1 z)) 1/2))) (fma.f64 1/2 (*.f64 (fma.f64 z -1/720 (*.f64 (-.f64 (*.f64 z 1/24) (*.f64 z 1/16)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (pow.f64 y 6) (fma.f64 (*.f64 z -1/48) 1/4 (*.f64 z -1/720)))) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (*.f64 z -1/48)) (sqrt.f64 (/.f64 1 z))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))))
(+.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 z))) (+.f64 (*.f64 (pow.f64 y 6) (fma.f64 (*.f64 z -1/48) 1/4 (*.f64 z -1/720))) (*.f64 (pow.f64 y 4) (*.f64 z -1/48)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(*.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) 1/4)) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 z))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 4))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) 2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) 3)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1/2))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
0.1b
(*.f64 z (cos.f64 y))
0.1b
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2))
0.3b
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
Compiler

Compiled 61 to 22 computations (63.9% saved)

series61.0ms (0.6%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
36.0ms
y
@-inf
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
8.0ms
y
@inf
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
3.0ms
x
@-inf
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
2.0ms
x
@inf
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
2.0ms
x
@0
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)

rewrite88.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1104×unswap-sqr
812×swap-sqr
568×sqr-pow
364×distribute-rgt-in
340×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01764
134752
2392952
Stop Event
node limit
Counts
2 → 133
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2)
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2))
Outputs
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simplify162.0ms (1.7%)

Algorithm
egg-herbie
Rules
1358×times-frac
1184×associate-*r*
1026×associate-/r*
952×associate-/l*
832×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062015901
1192314723
Stop Event
node limit
Counts
205 → 295
Calls
Call 1
Inputs
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3) 1/6))
(/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (/.f64 -1 (neg.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))))
(/.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1)
(/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4)))
(/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) (/.f64 1 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))))
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))))
(/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (/.f64 -1 (neg.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 -1 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1))
(/.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
(/.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (/.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))) (/.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4)) (/.f64 1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) (/.f64 -1 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 (pow.f64 1 -1/2) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1/2) (/.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) 1) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 1) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) -2)) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) -2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -2)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) -2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1)) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) 1) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(neg.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (sin.f64 y)) 1)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) 1) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 -1 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1))
(*.f64 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1) -1)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) -2) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/6))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Outputs
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 (/.f64 1 z) (cos.f64 y))
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(/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(neg.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x (sin.f64 y)) 1))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (sin.f64 y)) 1)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) 1) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (*.f64 x (sin.f64 y))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) (*.f64 (sin.f64 y) x))
(+.f64 -1 (fma.f64 x (sin.f64 y) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) (*.f64 (sin.f64 y) x))
(+.f64 -1 (fma.f64 x (sin.f64 y) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))
(-.f64 (+.f64 (*.f64 (*.f64 x (sin.f64 y)) 1) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) (*.f64 (sin.f64 y) x))
(+.f64 -1 (fma.f64 x (sin.f64 y) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 -1 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1) -1)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) -2) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/4) -2))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/4) -4)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) -2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -2))) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3/2))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/6))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) -2)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) -1/2) -2)
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) -1))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))

eval705.0ms (7.2%)

Compiler

Compiled 32268 to 14232 computations (55.9% saved)

prune430.0ms (4.4%)

Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New1158121170
Fresh111223
Picked101
Done2810
Total1172321204
Error
0b
Counts
1204 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
41.6b
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)
14.9b
(fma.f64 x (sin.f64 y) z)
37.5b
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) -1)
45.7b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
45.2b
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z))))
26.0b
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
37.5b
(/.f64 1 (/.f64 (/.f64 1 x) (sin.f64 y)))
30.6b
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
1.1b
(/.f64 1 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)))
33.4b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
40.1b
(/.f64 1 (/.f64 1 z))
40.8b
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
26.1b
(/.f64 1 (*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z)))
32.3b
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))))
48.9b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3))))
46.1b
(-.f64 (+.f64 1 z) 1)
33.3b
(+.f64 (*.f64 y x) z)
0.1b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.9b
(+.f64 (*.f64 x (sin.f64 y)) z)
15.7b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))
42.1b
(*.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
35.7b
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) z)))
26.2b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) (cbrt.f64 (cos.f64 y)))
46.5b
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
37.4b
(*.f64 (sin.f64 y) x)
25.9b
(*.f64 (cos.f64 y) z)
1.2b
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) -2)))
47.1b
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
53.7b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
48.8b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
40.0b
z
Compiler

Compiled 440 to 294 computations (33.2% saved)

regimes188.0ms (1.9%)

Counts
68 → 1
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 z) 1)
(/.f64 1 (/.f64 1 z))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 x) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z)
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)
(/.f64 1 (*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 x (sin.f64 y) z)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) -1)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3))))
(/.f64 1 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) z)))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) z) 3))
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 3)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(*.f64 (/.f64 (cos.f64 y) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 z))
(+.f64 (*.f64 x (sin.f64 y)) (exp.f64 (log.f64 (*.f64 z (cos.f64 y)))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) (*.f64 z (cos.f64 y)))
(pow.f64 (/.f64 1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) -1)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) (cbrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) 4)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) -1/2) 2))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) z)) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 3/4))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))))
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) -2)))
(/.f64 1 (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2)))
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) -2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) (neg.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) (pow.f64 (*.f64 (sin.f64 y) x) 3/2)) (/.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) (pow.f64 (*.f64 (sin.f64 y) x) 3/2)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) 1/4) (pow.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3/4) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) 3/4))
Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
Calls

4 calls:

47.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
47.0ms
z
42.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 1041 to 394 computations (62.2% saved)

regimes86.0ms (0.9%)

Counts
25 → 1
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 z) 1)
(/.f64 1 (/.f64 1 z))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 x) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z)
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)
(/.f64 1 (*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 x (sin.f64 y) z)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) -1)
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

39.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
y
14.0ms
x
11.0ms
z
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 206 to 107 computations (48.1% saved)

regimes132.0ms (1.3%)

Counts
18 → 3
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 z) 1)
(/.f64 1 (/.f64 1 z))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 x) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 1 z) (cos.f64 y)))
(fma.f64 -1/2 (*.f64 (*.f64 z y) y) z)
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) z)
(/.f64 1 (*.f64 (/.f64 1 (cos.f64 y)) (/.f64 1 z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 x (sin.f64 y) z)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) x)) -1)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
Calls

3 calls:

72.0ms
x
30.0ms
y
26.0ms
z
Results
ErrorSegmentsBranch
7.6b3x
12.6b2y
8.8b3z
Compiler

Compiled 143 to 80 computations (44.1% saved)

bsearch384.0ms (3.9%)

Algorithm
binary-search
Steps
TimeLeftRight
342.0ms
1.461722060309157e-54
1.0501741801857967e-44
42.0ms
-7.984926254471868e-117
-1.2789946919582147e-124
Results
310.0ms40×body512valid
40.0ms94×body1024valid
27.0ms170×body256valid
Compiler

Compiled 360 to 260 computations (27.8% saved)

regimes60.0ms (0.6%)

Counts
8 → 4
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 z) 1)
(/.f64 1 (/.f64 1 z))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
Outputs
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 y x) z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

23.0ms
y
19.0ms
x
17.0ms
z
Results
ErrorSegmentsBranch
17.4b3x
13.2b4y
15.2b3z
Compiler

Compiled 61 to 38 computations (37.7% saved)

bsearch67.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
3.372873168910852e+134
2.6691459309157538e+135
16.0ms
0.17466042526283226
1.9252286263595995
18.0ms
-629408.0407994139
-51691.96054493281
Results
32.0ms192×body256valid
32.0ms96×body512valid
Compiler

Compiled 318 to 229 computations (28% saved)

regimes74.0ms (0.8%)

Counts
7 → 3
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 z) 1)
(/.f64 1 (/.f64 1 z))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 y x) z)))
(/.f64 1 (-.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 (cos.f64 y) z)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

34.0ms
z
20.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
22.2b3x
18.3b3y
22.2b3z
Compiler

Compiled 57 to 36 computations (36.8% saved)

bsearch86.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
9.853471069595744e-19
1.965882760428543e-17
67.0ms
-330.3976595215635
-2.3841181168734167e-8
Results
83.0ms272×body256valid
Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes42.0ms (0.4%)

Accuracy

Total -13.8b remaining (-41.5%)

Threshold costs -13.8b (-41.5%)

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

3 calls:

32.0ms
y
4.0ms
x
4.0ms
z
Results
ErrorSegmentsBranch
33.3b1x
33.3b1y
33.3b1z
Compiler

Compiled 53 to 34 computations (35.8% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042239
159239
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 x -8722064691547283/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (+.f64 (*.f64 x (sin.f64 y)) z) (if (<=.f64 x 6106364568184163/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -52000) (*.f64 (sin.f64 y) x) (if (<=.f64 y 3242591731706757/18014398509481984) (+.f64 (*.f64 y x) z) (if (<=.f64 y 499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712) (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y -7032821178101767/2305843009213693952) (*.f64 (cos.f64 y) z) (if (<=.f64 y 6328111796339321/324518553658426726783156020576256) (+.f64 (*.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
z
Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 x -8722064691547283/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (+.f64 (*.f64 x (sin.f64 y)) z) (if (<=.f64 x 6106364568184163/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (or (<=.f64 x -8722064691547283/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (not (<=.f64 x 6106364568184163/1606938044258990275541962092341162602522202993782792835301376))) (+.f64 z (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(if (<=.f64 y -52000) (*.f64 (sin.f64 y) x) (if (<=.f64 y 3242591731706757/18014398509481984) (+.f64 (*.f64 y x) z) (if (<=.f64 y 499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712) (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y -52000) (*.f64 x (sin.f64 y)) (if (<=.f64 y 3242591731706757/18014398509481984) (+.f64 z (*.f64 x y)) (if (<=.f64 y 499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y -7032821178101767/2305843009213693952) (*.f64 (cos.f64 y) z) (if (<=.f64 y 6328111796339321/324518553658426726783156020576256) (+.f64 (*.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (or (<=.f64 y -7032821178101767/2305843009213693952) (not (<=.f64 y 6328111796339321/324518553658426726783156020576256))) (*.f64 z (cos.f64 y)) (+.f64 z (*.f64 x y)))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
z
Compiler

Compiled 110 to 70 computations (36.4% saved)

soundness12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
11623
21923
Stop Event
saturated
Compiler

Compiled 20 to 9 computations (55% saved)

end47.0ms (0.5%)

Compiler

Compiled 92 to 35 computations (62% saved)

Profiling

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