Details

Time bar (total: 9.5s)

analyze226.0ms (2.4%)

Algorithm
1×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)

sample1.8s (19.2%)

Results
1.0s6220×body256valid
591.0ms1344×body1024valid
209.0ms688×body512valid
3.0ms4×body2048valid
Bogosity

preprocess6.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
50×+-commutative
48×fma-def
16×associate-+l+
8×associate-+r+
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
14492
27792
39892
033
Stop Event
1×saturated
1×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 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 y (+.f64 (sin.f64 x) (*.f64 z (cos.f64 x))))
(fma.f64 z (cos.f64 x) (+.f64 y (sin.f64 x)))
(+.f64 y (fma.f64 z (cos.f64 x) (sin.f64 x)))
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (+.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (+.f64 (sin.f64 y) z))
(+.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) z))
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
(+.f64 x (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(fma.f64 y (cos.f64 z) (+.f64 x (sin.f64 z)))
(+.f64 x (fma.f64 y (cos.f64 z) (sin.f64 z)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
12×fma-def
4×associate-+l+
2×associate-+r+
2×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
11623
22523
33123
Stop Event
1×saturated
Counts
1 → 3
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 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))

eval1.0ms (0%)

Compiler

Compiled 28 to 11 computations (60.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.08%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.08%
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
▶0.09%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 x (sin.f64 y))
✓0.02%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓0.17%
(*.f64 z (cos.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts
3 → 76
Calls

21 calls:

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

rewrite98.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1040×associate-*r/
1002×distribute-rgt-in
988×associate-*l/
968×distribute-lft-in
374×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01149
123645
2327745
Stop Event
1×node limit
Counts
3 → 191
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 x (sin.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.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 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 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simplify149.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1350×+-commutative
796×associate-*r*
722×associate-/l*
680×associate-*l*
586×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052911521
1155411191
2780211191
Stop Event
1×node limit
Counts
267 → 312
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 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 x (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 x (sin.f64 y))))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(pow.f64 (+.f64 x (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 x (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(fma.f64 1 x (sin.f64 y))
(fma.f64 1 (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
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 (*.f64 1/24 (pow.f64 y 4)) z))
(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 (*.f64 1/24 (pow.f64 y 4)) z))))
(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 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 z (+.f64 x (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (+.f64 x (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y x))
(+.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.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 (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)
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) (fma.f64 z (cos.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z 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)))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 (+.f64 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) (fma.f64 z (cos.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (sin.f64 y) 3/2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (-.f64 x (sin.f64 y)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (sin.f64 y) 4)) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 x x (pow.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (fma.f64 x x (pow.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 (pow.f64 (sin.f64 y) 2) (fma.f64 x x (pow.f64 (sin.f64 y) 2)) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (fma.f64 (pow.f64 (sin.f64 y) 3) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (pow.f64 x 6))) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 x (sin.f64 y))))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.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 (exp.f64 (+.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)
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 y))) 1))
(+.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(fma.f64 1 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 1 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(+.f64 (sin.f64 y) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(+.f64 (sin.f64 y) x)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(+.f64 x (sin.f64 y))
✓0.08%
(fma.f64 z (cos.f64 y) (+.f64 x (sin.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 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
y
@-inf
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
z
@-inf
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
z
@0
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.0ms
z
@inf
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

rewrite62.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1010×*-commutative
818×unswap-sqr
578×swap-sqr
496×distribute-lft-in
482×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
122423
2284323
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.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 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (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 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (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)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.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)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
936×distribute-lft-in
898×distribute-rgt-in
838×*-commutative
584×+-commutative
532×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332517
13302417
211812417
347482417
Stop Event
1×node limit
Counts
79 → 76
Calls
Call 1
Inputs
(+.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 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z 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 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.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))
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))
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 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)
(+.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) 1) (sin.f64 y))
(+.f64 (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(-.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (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)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (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)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.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)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
Outputs
(+.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))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z 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))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z 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))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 x z)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 x z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z)))
(+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 y (fma.f64 (*.f64 y y) (*.f64 z -1/2) (+.f64 x z)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (+.f64 x z) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (*.f64 y (*.f64 y -1/2)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
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(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

eval202.0ms (2.1%)

Compiler

Compiled 13248 to 4188 computations (68.4% saved)

prune161.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New49716513
Fresh000
Picked101
Done011
Total49817515
Error
0.02%
Counts
515 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶40.63%
(fma.f64 (cos.f64 y) z (sin.f64 y))
68.58%
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
39.86%
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
0.32%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
40.31%
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))
29.65%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
▶0.85%
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓0.09%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
28.93%
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
▶0.13%
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y)))
40.64%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
▶40.32%
(+.f64 (sin.f64 y) x)
▶37.31%
(+.f64 z x)
39.85%
(+.f64 y (+.f64 z x))
55.22%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))))
59.55%
(*.f64 (cos.f64 y) z)
57.96%
x
Compiler

Compiled 486 to 291 computations (40.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.02%
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y)))
0.17%
(*.f64 z (cos.f64 y))
✓0.22%
(expm1.f64 (log1p.f64 (sin.f64 y)))
✓0.31%
(log1p.f64 (sin.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series49.0ms (0.5%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
24.0ms
y
@-inf
(log1p.f64 (sin.f64 y))
23.0ms
y
@inf
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(expm1.f64 (log1p.f64 (sin.f64 y)))
0.0ms
x
@0
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y)))

rewrite94.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1120×associate-*r/
1046×associate-*l/
1030×distribute-lft-in
402×associate-+l+
276×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
127437
2351337
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1)) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) 1) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) (-.f64 1 (+.f64 x (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) (-.f64 (-.f64 1 x) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) (-.f64 (-.f64 1 (*.f64 z (cos.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.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 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) (-.f64 1 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) 1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sin.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (+.f64 (sin.f64 y) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (+.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 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x))))) (-.f64 (pow.f64 (+.f64 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(sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))))))

simplify126.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1158×associate--r+
998×associate-+l-
880×associate--l+
828×associate-+r-
594×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04168727
111468449
257338449
Stop Event
1×node limit
Counts
209 → 247
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(+.f64 (*.f64 z (cos.f64 y)) (sin.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))
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))
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 x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z 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 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(*.f64 1 (log1p.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(+.f64 (sin.f64 y) 0)
(+.f64 1 (+.f64 (sin.f64 y) -1))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(+.f64 -1 (+.f64 (sin.f64 y) 1))
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1)) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (+.f64 (sin.f64 y) 1) (-.f64 1 (+.f64 x (*.f64 z (cos.f64 y)))))
(-.f64 (+.f64 (sin.f64 y) 1) (-.f64 (-.f64 1 x) (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 (sin.f64 y) 1) (-.f64 (-.f64 1 (*.f64 z (cos.f64 y))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 (sin.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))
(-.f64 (+.f64 x (+.f64 (sin.f64 y) 1)) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) 1)) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) 1)) (-.f64 1 x))
(-.f64 (+.f64 (+.f64 (sin.f64 y) x) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (+.f64 (sin.f64 y) 1))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(-.f64 (+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) (sqrt.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))) (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) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
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(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.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)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 1 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (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 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) y) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/12 (pow.f64 y 4))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 (*.f64 y y) z) (+.f64 y (+.f64 z x))))
(fma.f64 (pow.f64 y 3) -1/6 (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)
(log1p.f64 (sin.f64 y))
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(*.f64 1 (log1p.f64 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(log1p.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(log1p.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(log1p.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(log1p.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(fabs.f64 (log1p.f64 (sin.f64 y)))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(log1p.f64 (sin.f64 y))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 1 (+.f64 (sin.f64 y) -1))
(sin.f64 y)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(sin.f64 y)
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(sin.f64 y)
(+.f64 -1 (+.f64 (sin.f64 y) 1))
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 1) 1)
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)) (+.f64 2 (sin.f64 y)))
(/.f64 (+.f64 2 (sin.f64 y)) (/.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) -1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 1 (+.f64 1 (sin.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1)) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)) (+.f64 2 (sin.f64 y)))
(/.f64 (+.f64 2 (sin.f64 y)) (/.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) -1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 1 (+.f64 1 (sin.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)) (+.f64 2 (sin.f64 y)))
(/.f64 (+.f64 2 (sin.f64 y)) (/.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) -1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 1 (+.f64 1 (sin.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y))))
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(fabs.f64 (sin.f64 y))
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 1) (-.f64 1 (+.f64 x (*.f64 z (cos.f64 y)))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(-.f64 (+.f64 (sin.f64 y) 1) (-.f64 (-.f64 1 x) (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(-.f64 (+.f64 (sin.f64 y) 1) (-.f64 (-.f64 1 (*.f64 z (cos.f64 y))) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (sin.f64 y) x) (expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) 1)
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) (-.f64 1 (*.f64 z (cos.f64 y))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x))) 1) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x))))
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localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (sin.f64 y) x)
Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 7
Calls

6 calls:

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

rewrite64.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1590×add-sqr-sqrt
1574×*-un-lft-identity
1466×add-cube-cbrt
1450×add-cbrt-cube
1436×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2191611
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 (sin.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))))) (#(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) 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 log.f64 (exp.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 exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)))))

simplify111.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1052×associate-*r*
938×associate-*l*
760×associate-+r+
522×distribute-lft-neg-in
500×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0991169
1255981
2921843
34517843
Stop Event
1×node limit
Counts
41 → 51
Calls
Call 1
Inputs
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(sin.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (sin.f64 y) x) 1)
(*.f64 1 (+.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(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) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))
(log.f64 (exp.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)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(fma.f64 1 (sin.f64 y) x)
(fma.f64 1 x (sin.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
Outputs
x
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 x y))
(+.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(sin.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(*.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 1 (+.f64 (sin.f64 y) x))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x (-.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(pow.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) 2)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 3)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) 1))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 1 (sin.f64 y) x)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 1 x (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 x (sin.f64 y))

localize33.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1%
(fma.f64 (cos.f64 y) z (sin.f64 y))
Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
(fma.f64 (cos.f64 y) z (sin.f64 y))
0.0ms
y
@0
(fma.f64 (cos.f64 y) z (sin.f64 y))
0.0ms
z
@inf
(fma.f64 (cos.f64 y) z (sin.f64 y))
0.0ms
y
@inf
(fma.f64 (cos.f64 y) z (sin.f64 y))
0.0ms
y
@-inf
(fma.f64 (cos.f64 y) z (sin.f64 y))

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1512×add-sqr-sqrt
1502×*-un-lft-identity
1380×add-cube-cbrt
1362×add-cbrt-cube
1346×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
115617
2183417
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))))

simplify106.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1270×associate-/r*
1106×associate-*r*
942×*-commutative
900×associate-*l*
548×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068904
1176898
2755892
33403846
46379846
Stop Event
1×node limit
Counts
46 → 46
Calls
Call 1
Inputs
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (sin.f64 y))
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))
(+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 z (fma.f64 (*.f64 y y) (*.f64 z -1/2) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (*.f64 y y) (*.f64 z -1/2) y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) 1) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (+.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (cos.f64 y) (*.f64 z (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.02%
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
0.17%
(*.f64 z (cos.f64 y))
✓1.01%
(cbrt.f64 (*.f64 z (cos.f64 y)))
✓1.08%
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series12.0ms (0.1%)

Counts
3 → 51
Calls

21 calls:

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

rewrite141.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1040×associate-*r/
1036×distribute-lft-in
984×associate-*l/
444×associate-+l+
298×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01453
130349
2382949
Stop Event
1×node limit
Counts
3 → 156
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
Outputs
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egg-rr> (2) ((x fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))))

simplify452.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
1510×associate-+r+
1498×associate-+l+
1080×+-commutative
854×associate-*r*
734×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04739371
113649051
258959051
Stop Event
1×node limit
Counts
207 → 252
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 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
x
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
x
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (*.f64 (pow.f64 1 1/3) z) x)
(+.f64 y (+.f64 (*.f64 (pow.f64 1 1/3) z) x))
(+.f64 y (+.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 (pow.f64 1 1/3) z) x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.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 (pow.f64 1 1/3) z) x))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(-.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 z) (cos.f64 y)))
(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)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.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 z (cos.f64 y)) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))
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(/.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 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.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 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (+.f64 x (sin.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 1 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (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 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.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)
(+.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))
(+.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 z -1/24) -1/9 (*.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (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 (*.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)))
(*.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 y (*.f64 y (cbrt.f64 z))) (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 z -1/24) (pow.f64 y 4))) (fma.f64 -1/6 (*.f64 y (*.f64 y (cbrt.f64 z))) (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 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (pow.f64 y 6)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (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 y (*.f64 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 z -1/24) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y (*.f64 y (cbrt.f64 z))) (cbrt.f64 z)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 z z)))) (+.f64 (*.f64 (*.f64 z -1/24) (pow.f64 y 4)) (*.f64 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (pow.f64 y 6)))))
(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 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
x
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
x
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 (pow.f64 1 1/3) z) x)
(+.f64 z x)
(+.f64 y (+.f64 (*.f64 (pow.f64 1 1/3) z) x))
(+.f64 (+.f64 y z) x)
(+.f64 z (+.f64 x y))
(+.f64 z (+.f64 y x))
(+.f64 y (+.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 (pow.f64 1 1/3) z) x)))
(+.f64 y (+.f64 (fma.f64 (*.f64 z -1/2) (*.f64 y y) z) x))
(+.f64 y (fma.f64 (*.f64 z -1/2) (*.f64 y y) (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.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 (pow.f64 1 1/3) z) x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (+.f64 (fma.f64 (*.f64 z -1/2) (*.f64 y y) z) x)))
(+.f64 (fma.f64 (*.f64 z -1/2) (*.f64 y y) (+.f64 z x)) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(-.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))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (+.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 (pow.f64 (+.f64 (sin.f64 y) x) 6) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (pow.f64 (+.f64 (sin.f64 y) x) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (+.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (+.f64 (sin.f64 y) x))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (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 (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 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.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)) (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 (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 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.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 (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 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 2))
(fabs.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(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 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))

eval182.0ms (1.9%)

Compiler

Compiled 16120 to 5502 computations (65.9% saved)

prune166.0ms (1.7%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New63810648
Fresh5611
Picked011
Done235
Total64520665
Error
0.01%
Counts
665 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
39.86%
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
▶0.32%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
10.42%
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) 1)) 1)
48.01%
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
29.65%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
5.07%
(+.f64 (+.f64 x (-.f64 (+.f64 (sin.f64 y) 2) 2)) (*.f64 z (cos.f64 y)))
✓0.85%
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
0.8%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
0.79%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
✓0.09%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
▶28.93%
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
▶40.64%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓40.32%
(+.f64 (sin.f64 y) x)
72.61%
(+.f64 z y)
✓37.31%
(+.f64 z x)
▶59.97%
(+.f64 y x)
▶59.55%
(*.f64 (cos.f64 y) z)
79.86%
(sin.f64 y)
77.12%
z
57.96%
x
Compiler

Compiled 428 to 298 computations (30.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (sin.f64 y) x)
✓0.08%
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
✓0.13%
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
✓0.34%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
Compiler

Compiled 45 to 14 computations (68.9% saved)

series24.0ms (0.3%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
18.0ms
x
@inf
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
1.0ms
x
@0
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
1.0ms
z
@inf
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
1.0ms
y
@0
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
0.0ms
y
@inf
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))

rewrite93.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1014×associate-*r/
754×associate-*l/
630×distribute-rgt-in
598×distribute-lft-in
392×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01475
129075
2338675
Stop Event
1×node limit
Counts
3 → 220
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) x) (*.f64 (*.f64 z (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) x) (sin.f64 y))))) (#(struct:change 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simplify185.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
736×associate-+r+
658×+-commutative
630×associate-+l+
580×associate-/l*
532×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045813272
1123912720
2528912660
Stop Event
1×node limit
Counts
328 → 303
Calls
Call 1
Inputs
(+.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 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z 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 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.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))
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))
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 1 (+.f64 (sin.f64 y) x))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (+.f64 (sin.f64 y) x) 4))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 z 3) (cos.f64 y)))))
(+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (cos.f64 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 4)))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 z 3) (cos.f64 y)))))
(+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (cos.f64 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 4)))))))
(/.f64 1 (+.f64 z x))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 (+.f64 z x) 2))) (/.f64 1 (+.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 (+.f64 z x) 2))) (+.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2)))))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 (+.f64 z x) 2))) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 3))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 z x) 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 z x) 4)) (*.f64 1/2 (/.f64 z (pow.f64 (+.f64 z x) 3)))))) (+.f64 (/.f64 1 (+.f64 z x)) (*.f64 (pow.f64 y 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2))))))))
(/.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)))
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(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
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(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) (/.f64 1 (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 (/.f64 (sqrt.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)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))
(/.f64 (/.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 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2) (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 -1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 -1 (/.f64 -1 (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 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) -2)))) (/.f64 1 (cbrt.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)
(pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) -1)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.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)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) -1)))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
Outputs
(+.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))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z 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))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z 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))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 x z)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 x z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z)))
(+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 x (+.f64 z (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 x z))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 x z) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 x (+.f64 z (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 1 (+.f64 (sin.f64 y) x))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (neg.f64 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(-.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (+.f64 (sin.f64 y) x) 2)) z))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (neg.f64 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (-.f64 (*.f64 (/.f64 (*.f64 z z) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (pow.f64 (cos.f64 y) 2)) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (+.f64 (sin.f64 y) x) 2)) z)))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (+.f64 (sin.f64 y) x) 2)) z) (+.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (+.f64 (sin.f64 y) x) 4))))))
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (/.f64 1 (+.f64 (sin.f64 y) x))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)))))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (pow.f64 (cos.f64 y) 2)) (-.f64 (-.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (*.f64 (/.f64 (cos.f64 y) (pow.f64 (+.f64 (sin.f64 y) x) 2)) z)) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4))))
(+.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) (pow.f64 (+.f64 (sin.f64 y) x) 2)) z) (+.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (/.f64 1 (*.f64 (cos.f64 y) z)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 z z)) (/.f64 1 (*.f64 (cos.f64 y) z)))
(-.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 z z)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 z 3) (cos.f64 y)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 z z)) (/.f64 1 (*.f64 (cos.f64 y) z))) (*.f64 (/.f64 (+.f64 (sin.f64 y) x) (pow.f64 z 3)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y))))
(-.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 y) x) (pow.f64 z 3)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y)) (/.f64 1 (*.f64 (cos.f64 y) z))) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 z z)))
(+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) x) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (cos.f64 y) (pow.f64 z 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 2))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 4)))))))
(+.f64 (*.f64 (/.f64 (+.f64 (sin.f64 y) x) (pow.f64 z 3)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (cos.f64 y))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (*.f64 z z)) (/.f64 1 (*.f64 (cos.f64 y) z))) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (cos.f64 y) 2)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) 2)) (/.f64 x (pow.f64 (cos.f64 y) 2))) (pow.f64 z 4))))))
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(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) -1)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.17%
(*.f64 (cos.f64 y) z)
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite46.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1238×fma-def
914×log-prod
884×distribute-lft-out
766×*-commutative
662×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052341
1132333
2436325
32085319
45558319
Stop Event
1×node limit
Counts
23 → 26
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 (+.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)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(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)))
(log1p.f64 (expm1.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)
(*.f64 z (fma.f64 -1/2 (*.f64 y y) 1))
(+.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 (fma.f64 -1/2 (*.f64 y y) (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 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 (+.f64 (*.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 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 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 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 (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))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.03%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
0.17%
(*.f64 (cos.f64 y) z)
Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 7
Calls

6 calls:

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

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1990×add-sqr-sqrt
1974×*-un-lft-identity
1832×add-cube-cbrt
1812×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118717
2242417
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))))

simplify70.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1516×associate-*r*
1358×associate-*l*
792×associate-+r+
552×associate-+l+
432×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031384
12541334
29661334
354691334
Stop Event
1×node limit
Counts
44 → 56
Calls
Call 1
Inputs
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))
(+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 z (fma.f64 z (*.f64 y (*.f64 y -1/2)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)))
(fma.f64 (*.f64 y y) (*.f64 z -1/2) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y)))
(fma.f64 z (*.f64 y (*.f64 y -1/2)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 z y)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 1))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.02%
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
0.17%
(*.f64 z (cos.f64 y))
✓0.18%
(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓59.13%
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
Compiler

Compiled 44 to 17 computations (61.4% saved)

series7.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite94.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1040×associate-*r/
1012×distribute-lft-in
980×associate-*l/
392×associate-+l+
300×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01455
130751
2383951
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))))))

simplify199.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1552×associate-+r+
1460×associate-+l+
1076×+-commutative
1006×associate-*r*
886×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04559711
112489445
262519445
Stop Event
1×node limit
Counts
241 → 253
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 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.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 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 z 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (*.f64 -1/720 (pow.f64 z 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)) (*.f64 -1/24 (pow.f64 z 3)))))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.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))
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))
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 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z 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 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.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 (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))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(*.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 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 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(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)
(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)))))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(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 (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1)
(*.f64 z (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1)
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1) (*.f64 z (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.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 z (cos.f64 y)) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.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 1 (+.f64 x (-.f64 (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 (/.f64 1 (+.f64 x (-.f64 (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 (/.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 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)))
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(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.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 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 1 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (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 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
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 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) (neg.f64 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 (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 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 z 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(fma.f64 (*.f64 (pow.f64 z 3) -3/2) (*.f64 y y) (pow.f64 z 3))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 z 3) -3/2) (*.f64 y y) (pow.f64 z 3)) (*.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (*.f64 z (*.f64 (*.f64 z z) 1/3))))))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (fma.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) 13/24)) (pow.f64 z 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 (+.f64 (*.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (*.f64 -1/720 (pow.f64 z 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)) (*.f64 -1/24 (pow.f64 z 3)))))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/24 (pow.f64 z 3)) (+.f64 (*.f64 1/2 (pow.f64 z 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 z 3) -3/2) (*.f64 y y) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (fma.f64 (*.f64 (*.f64 z z) -2/45) z (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (*.f64 z (*.f64 (*.f64 z z) 1/3)) (*.f64 (pow.f64 z 3) -1/24)))) (*.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (*.f64 z (*.f64 (*.f64 z z) 1/3)))))))
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (+.f64 (*.f64 (pow.f64 z 3) -2/45) (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (*.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) -1/24)))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) 13/24)))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(fma.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(fma.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(fma.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)) (+.f64 (sin.f64 y) x))
(+.f64 x (fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(*.f64 1 (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (cos.f64 y) z)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (cos.f64 y) z)
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3)) (*.f64 (+.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 (sin.f64 y) x) 6) (pow.f64 (*.f64 (cos.f64 y) z) 6)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 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 (pow.f64 (+.f64 (sin.f64 y) x) 6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.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 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (+.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(/.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 (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 (*.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 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.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 (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 (*.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 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.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 (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 (*.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 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) 2))
(fabs.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 1 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (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)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.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)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))

eval337.0ms (3.5%)

Compiler

Compiled 17452 to 6292 computations (63.9% saved)

prune225.0ms (2.4%)

Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New73110741
Fresh01111
Picked101
Done268
Total73427761
Error
0.01%
Counts
761 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
60.25%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
39.86%
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
2.2%
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) 3))
40.52%
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x)))
37.45%
(/.f64 1 (/.f64 1 (+.f64 z x)))
59.58%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
58.09%
(/.f64 1 (/.f64 1 x))
40.07%
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
10.42%
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) 1)) 1)
48.01%
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
▶41.36%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) (sin.f64 y))
▶29.65%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
▶5.07%
(+.f64 (+.f64 x (-.f64 (+.f64 (sin.f64 y) 2) 2)) (*.f64 z (cos.f64 y)))
0.8%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
▶0.79%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
✓0.09%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓40.64%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓40.32%
(+.f64 (sin.f64 y) x)
▶72.61%
(+.f64 z y)
✓37.31%
(+.f64 z x)
✓59.97%
(+.f64 y x)
46.16%
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))
✓59.55%
(*.f64 (cos.f64 y) z)
79.86%
(sin.f64 y)
84.33%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
77.12%
z
57.96%
x
Compiler

Compiled 628 to 429 computations (31.7% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.49%
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
✓0.79%
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
✓0.96%
(cbrt.f64 z)
1.01%
(cbrt.f64 (*.f64 z (cos.f64 y)))
Compiler

Compiled 80 to 25 computations (68.8% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

15 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
2.0ms
z
@0
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
1.0ms
z
@-inf
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
0.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
0.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)

rewrite76.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1074×*-commutative
966×sqrt-prod
964×unswap-sqr
684×swap-sqr
452×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01467
127137
2313337
Stop Event
1×node limit
Counts
3 → 93
Calls
Call 1
Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 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 (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 (cbrt.f64 z) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(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 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (sqrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 z 1/6)) (sqrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 z) 1/6) (pow.f64 (sqrt.f64 z) 1/6)) (*.f64 (pow.f64 (sqrt.f64 z) 1/6) (pow.f64 (sqrt.f64 z) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (cbrt.f64 (*.f64 z z))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) (exp.f64 (log1p.f64 (cbrt.f64 z)))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) (exp.f64 (log1p.f64 (cbrt.f64 z)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1))))))) (#(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 (sqrt.f64 z) 2/3)))) (#(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 (cbrt.f64 (*.f64 z z)))))) (#(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 log1p.f64 (expm1.f64 (cbrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z 1/6)) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (sqrt.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 4) (cbrt.f64 (pow.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)))) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cos.f64 y) 1/6)) 4)) (cbrt.f64 (cbrt.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cos.f64 y) 1/6)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cbrt.f64 z))) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.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 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cos.f64 y) 1/6)) (*.f64 (cbrt.f64 z) (pow.f64 (cos.f64 y) 1/6))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.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 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6))) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/6) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 4))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 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 -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) (+.f64 1 (*.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 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(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 (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 fabs.f64 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(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 cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (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 log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))

simplify107.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1200×distribute-rgt-in
1194×distribute-lft-in
1094×fma-def
654×associate-*r*
570×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02833669
17313313
228563161
377843161
Stop Event
1×node limit
Counts
129 → 151
Calls
Call 1
Inputs
(pow.f64 (pow.f64 z 2) 1/3)
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 4) (+.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 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 6) (+.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 (pow.f64 y 4) (+.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 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(*.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 (exp.f64 (log1p.f64 (cbrt.f64 z))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)
(*.f64 (cbrt.f64 z) 1)
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 z))
(*.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 (*.f64 z z))))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (sqrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (cbrt.f64 z)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 z 1/6)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (pow.f64 z 1/6)))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 z) 1/6) (pow.f64 (sqrt.f64 z) 1/6)) (*.f64 (pow.f64 (sqrt.f64 z) 1/6) (pow.f64 (sqrt.f64 z) 1/6)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z z)) 1/6)) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (cbrt.f64 (*.f64 z z))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 z))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) (exp.f64 (log1p.f64 (cbrt.f64 z)))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) (exp.f64 (log1p.f64 (cbrt.f64 z)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1))))
(pow.f64 z 1/3)
(pow.f64 (cbrt.f64 z) 1)
(pow.f64 (sqrt.f64 z) 2/3)
(pow.f64 (pow.f64 z 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 z z)))
(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)))
(log1p.f64 (expm1.f64 (cbrt.f64 z)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1)
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 z) (*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z 1/6)) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 z 1/6))))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(*.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cos.f64 y) 1/6)) 4)) (cbrt.f64 (cbrt.f64 (*.f64 z z))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (*.f64 z z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cos.f64 y) 1/6)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cbrt.f64 z))) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cbrt.f64 z)))))
(*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cos.f64 y) 1/6)) (*.f64 (cbrt.f64 z) (pow.f64 (cos.f64 y) 1/6))) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6)))
(*.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6))) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/6) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 4))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4))
(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(fabs.f64 (*.f64 z (cos.f64 y)))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
Outputs
(pow.f64 (pow.f64 z 2) 1/3)
(cbrt.f64 (*.f64 z z))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 (*.f64 z z)) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y)) (cbrt.f64 (*.f64 z z)))
(*.f64 (+.f64 (*.f64 -1/3 (*.f64 y y)) 1) (cbrt.f64 (*.f64 z z)))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 4) (+.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 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 z -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y)))))
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y)) (*.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (*.f64 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) 2/3))))))
(fma.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) 2/3) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 y y)) 1) (cbrt.f64 (*.f64 z z))))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 (pow.f64 y 6) (+.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 (pow.f64 y 4) (+.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 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 (pow.f64 y 6) (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 -1/9 (cbrt.f64 (/.f64 1 z))) (*.f64 z -1/24))) (fma.f64 (pow.f64 y 4) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 z -1/24)) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y))))))
(+.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 (pow.f64 y 6) (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))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 y y)) (*.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (*.f64 z z)) 1/36 (*.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) 2/3)))))))
(fma.f64 (pow.f64 y 6) (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 (*.f64 z -23/2160) 2/3) (*.f64 (*.f64 z -1/24) -1/9))) (fma.f64 (pow.f64 y 4) (fma.f64 (cbrt.f64 (/.f64 1 z)) (*.f64 (*.f64 z -1/24) 2/3) (*.f64 (cbrt.f64 (*.f64 z z)) 1/36)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 y y)) 1) (cbrt.f64 (*.f64 z z)))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.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))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(fma.f64 (*.f64 (*.f64 y y) -1/2) z z)
(*.f64 (fma.f64 (*.f64 y y) -1/2 1) 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 (fma.f64 (*.f64 y y) -1/2 1) (*.f64 (pow.f64 y 4) 1/24)))
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(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))) (pow.f64 (exp.f64 2) (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 4))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 2/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1)
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 z (cos.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))
(*.f64 z (cos.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 z (cos.f64 y))) (log1p.f64 (*.f64 z (cos.f64 y))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 3)) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 z (cos.f64 y))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 z (cos.f64 y))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 z (cos.f64 y)))))))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.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))
(fabs.f64 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.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))
(cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 3)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (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))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.17%
(*.f64 z (cos.f64 y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.02%
(+.f64 (+.f64 x (-.f64 (+.f64 (sin.f64 y) 2) 2)) (*.f64 z (cos.f64 y)))
✓0.13%
(+.f64 (sin.f64 y) 2)
0.17%
(*.f64 z (cos.f64 y))
✓6.09%
(-.f64 (+.f64 (sin.f64 y) 2) 2)
Compiler

Compiled 46 to 24 computations (47.8% saved)

series1.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite111.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
756×associate-+l+
510×associate-/r*
412×+-commutative
358×associate-/l*
348×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01455
132339
2469339
Stop Event
1×node limit
Counts
3 → 209
Calls
Call 1
Inputs
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(+.f64 (sin.f64 y) 2)
(+.f64 (+.f64 x (-.f64 (+.f64 (sin.f64 y) 2) 2)) (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (+.f64 (sin.f64 y) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (+.f64 (sin.f64 y) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (sin.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (/.f64 1 (+.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (/.f64 1 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sin.f64 y) 4)) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))) (/.f64 (+.f64 (sin.f64 y) 4) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) 0) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) 16) (*.f64 (+.f64 (sin.f64 y) 4) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) 64) (*.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) 64) (*.f64 (+.f64 (pow.f64 (+.f64 2 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x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))))))

simplify108.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
782×distribute-lft-in
744×fma-def
702×distribute-rgt-in
690×associate-*r*
654×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061311531
1180310565
Stop Event
1×node limit
Counts
269 → 354
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
2
(+.f64 2 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (sin.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))
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))
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 x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z 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 2 (+.f64 (sin.f64 y) -2))
(+.f64 2 (+.f64 (+.f64 (sin.f64 y) -2) 0))
(+.f64 2 (-.f64 (+.f64 (sin.f64 y) -2) 0))
(+.f64 (+.f64 2 (sin.f64 y)) -2)
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) -2) 2)
(+.f64 -2 (+.f64 2 (sin.f64 y)))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (/.f64 1 (+.f64 (sin.f64 y) 4)))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (/.f64 1 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) 4)) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))
(*.f64 (/.f64 1 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (sin.f64 y))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (-.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y)))) (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y))))))) (-.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (*.f64 2 (+.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (+.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) 3) (pow.f64 (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (-.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y)))) (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y))))) (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y))))))))
(/.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (-.f64 4 (*.f64 (+.f64 2 (sin.f64 y)) -2))) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 (sin.f64 y) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (-.f64 4 (*.f64 (+.f64 2 (sin.f64 y)) -2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (/.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (-.f64 4 (*.f64 (+.f64 2 (sin.f64 y)) -2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (/.f64 (+.f64 (sin.f64 y) 4) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))) (/.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))) (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (-.f64 4 (*.f64 (+.f64 2 (sin.f64 y)) -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))) (/.f64 (+.f64 (sin.f64 y) 4) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) 0) (sin.f64 y))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) 16) (*.f64 (+.f64 (sin.f64 y) 4) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) 64) (*.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) 64) (*.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (-.f64 4 (*.f64 (+.f64 2 (sin.f64 y)) -2))) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))))
(/.f64 (+.f64 0 (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 0 (*.f64 (sin.f64 y) 0))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) 3) 64) (*.f64 (+.f64 (sin.f64 y) 4) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (+.f64 16 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 3) 512) (*.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) (+.f64 64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 8)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 3) 512) (*.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (-.f64 4 (*.f64 (+.f64 2 (sin.f64 y)) -2))) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) (+.f64 64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 8)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (neg.f64 (+.f64 (sin.f64 y) 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (neg.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) 1) (+.f64 (sin.f64 y) 4))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (sqrt.f64 (+.f64 (sin.f64 y) 4))) (sqrt.f64 (+.f64 (sin.f64 y) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) 4)) (cbrt.f64 (+.f64 (sin.f64 y) 4)))) (cbrt.f64 (+.f64 (sin.f64 y) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) 1) (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2))))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(fma.f64 1 (+.f64 2 (sin.f64 y)) -2)
(fma.f64 1 (sin.f64 y) 0)
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (-.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (*.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))) (+.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (+.f64 (sin.f64 y) x) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (*.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (*.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (+.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))) (sqrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (cbrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))) (cbrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (+.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.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)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 1 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 1 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (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 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
2
(+.f64 2 y)
(+.f64 y 2)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 y))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y 2))
(+.f64 y (fma.f64 -1/6 (pow.f64 y 3) 2))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) 2))
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.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 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
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) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 (*.f64 z y) y) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 (*.f64 z y) y) y)))
(+.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) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.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 (sin.f64 y) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.f64 y) x))
(*.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 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.f64 y) x))
(*.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 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.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) (fma.f64 z (cos.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) (fma.f64 z (cos.f64 y) x))
(+.f64 2 (+.f64 (sin.f64 y) -2))
(sin.f64 y)
(+.f64 2 (+.f64 (+.f64 (sin.f64 y) -2) 0))
(sin.f64 y)
(+.f64 2 (-.f64 (+.f64 (sin.f64 y) -2) 0))
(sin.f64 y)
(+.f64 (+.f64 2 (sin.f64 y)) -2)
(sin.f64 y)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 (+.f64 (sin.f64 y) -2) 2)
(sin.f64 y)
(+.f64 -2 (+.f64 2 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (/.f64 1 (+.f64 (sin.f64 y) 4)))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) -4) (/.f64 1 (+.f64 (sin.f64 y) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) -4) (+.f64 (sin.f64 y) 4))
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(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))) (sqrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))) (cbrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))) (cbrt.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (+.f64 (sin.f64 y) x)))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.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 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (+.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (+.f64 (sin.f64 y) x))) (-.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.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 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.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 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.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 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (sin.f64 y) x) 2)))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 1)
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 2)
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 3)
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3) 1/3)
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 2))
(fabs.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) 3))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) 1))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.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) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2) (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.03%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) (sin.f64 y))
0.17%
(*.f64 (cos.f64 y) z)
✓1.01%
(cbrt.f64 (*.f64 (cos.f64 y) z))
✓1.08%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
Compiler

Compiled 36 to 13 computations (63.9% saved)

series4.0ms (0%)

Counts
3 → 39
Calls

18 calls:

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

rewrite97.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1010×*-commutative
938×unswap-sqr
614×swap-sqr
444×sqr-pow
438×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01247
125243
2295143
Stop Event
1×node limit
Counts
3 → 169
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(cbrt.f64 (*.f64 (cos.f64 y) z))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) (sin.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 (cos.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 z (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 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egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))))))

simplify147.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1672×associate-*r/
936×associate-*r*
922×associate-+r+
810×associate-*l*
744×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04789720
113418458
254218458
Stop Event
1×node limit
Counts
208 → 270
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 (pow.f64 1 1/3) z)
(+.f64 y (*.f64 (pow.f64 1 1/3) z))
(+.f64 y (+.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 -1/6 (pow.f64 y 3)) (+.f64 y (+.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 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) 3))
(*.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 1 (*.f64 (cos.f64 y) z))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 z (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 z (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 z) (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cos.f64 y) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.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 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 z))
(*.f64 (*.f64 z (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (*.f64 (cos.f64 y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (pow.f64 (*.f64 (cos.f64 y) z) 1/6))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) 3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 (cos.f64 y) z))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6)) (cbrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6)) (cbrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))) (*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4)) (*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3/4) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/6) 3/2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 3/4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) 3/4))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/6))
(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))
(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 (cbrt.f64 (*.f64 (cos.f64 y) z)))) 1)
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sin.f64 y))
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.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)
(+.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))
(+.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 (*.f64 2/3 (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 z -1/24) -1/9 (*.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (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 (*.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)))
(*.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 (*.f64 -1/6 (cbrt.f64 z)) (*.f64 y y)) (cbrt.f64 z))
(fma.f64 -1/6 (*.f64 y (*.f64 y (cbrt.f64 z))) (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 (*.f64 -1/6 (cbrt.f64 z)) (*.f64 y y)) (cbrt.f64 z)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (fma.f64 -1/6 (*.f64 y (*.f64 y (cbrt.f64 z))) (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 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (pow.f64 y 6)) (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 (*.f64 -1/6 (cbrt.f64 z)) (*.f64 y y)) (cbrt.f64 z))))
(+.f64 (fma.f64 -1/6 (*.f64 y (*.f64 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 z -1/24) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y (*.f64 y (cbrt.f64 z))) (cbrt.f64 z)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 z z)))) (+.f64 (*.f64 (*.f64 z -1/24) (pow.f64 y 4)) (*.f64 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (pow.f64 y 6)))))
(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 (pow.f64 1 1/3) z)
z
(+.f64 y (*.f64 (pow.f64 1 1/3) z))
(+.f64 z y)
(+.f64 y (+.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 y (fma.f64 (*.f64 z -1/2) (*.f64 y y) z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.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 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 (*.f64 z -1/2) (*.f64 y y) z)))
(+.f64 (fma.f64 (*.f64 z -1/2) (*.f64 y y) z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(-.f64 (exp.f64 (log1p.f64 (*.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 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))) 3))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) 2) (cbrt.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 3))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (sin.f64 y) 4)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (/.f64 1 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (+.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (fma.f64 (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 3) (*.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (pow.f64 (sin.f64 y) 6)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (fma.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (*.f64 z (cos.f64 y)) 4)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (pow.f64 (sin.f64 y) 6)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (sin.f64 y) 3) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6) (*.f64 (pow.f64 (sin.f64 y) 3) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (fma.f64 (pow.f64 (sin.f64 y) 3) (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (pow.f64 (*.f64 z (cos.f64 y)) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 2)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) 3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3) 1/3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (sin.f64 y) 2)) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (sin.f64 y) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) 1) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))
(fabs.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) 3))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sin.f64 y))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sin.f64 y))
(fma.f64 1 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2)) (cbrt.f64 (*.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sin.f64 y))

eval372.0ms (3.9%)

Compiler

Compiled 23957 to 10558 computations (55.9% saved)

prune341.0ms (3.6%)

Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New8922894
Fresh01616
Picked011
Done1910
Total89328921
Error
0%
Counts
921 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
60.25%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
39.86%
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
2.2%
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) 3))
40.52%
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x)))
37.45%
(/.f64 1 (/.f64 1 (+.f64 z x)))
59.58%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
58.09%
(/.f64 1 (/.f64 1 x))
40.07%
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
10.42%
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) 1)) 1)
48.01%
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
✓41.36%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) (sin.f64 y))
✓29.65%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
✓5.07%
(+.f64 (+.f64 x (-.f64 (+.f64 (sin.f64 y) 2) 2)) (*.f64 z (cos.f64 y)))
19.12%
(+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))
0.8%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
✓0.79%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
0.75%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z)))))
✓40.64%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓40.32%
(+.f64 (sin.f64 y) x)
✓72.61%
(+.f64 z y)
✓37.31%
(+.f64 z x)
✓59.97%
(+.f64 y x)
46.16%
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))
✓59.55%
(*.f64 (cos.f64 y) z)
79.86%
(sin.f64 y)
84.33%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
77.12%
z
57.96%
x
Compiler

Compiled 370 to 251 computations (32.2% saved)

regimes114.0ms (1.2%)

Counts
40 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x)))
(+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (-.f64 (+.f64 (sin.f64 y) 2) 2)) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) 1)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3) (sin.f64 y))
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (*.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 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x (sin.f64 y))))
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) 3))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))))))
Outputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
Calls

4 calls:

46.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
z
19.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
0.08%1x
0.08%1y
0.08%1z
0.08%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 481 to 171 computations (64.4% saved)

regimes89.0ms (0.9%)

Counts
23 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x)))
(+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (-.f64 (+.f64 (sin.f64 y) 2) 2)) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) 1)) 1)
(fma.f64 (cos.f64 y) z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

47.0ms
z
13.0ms
x
12.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms
y
Results
ErrorSegmentsBranch
0.09%1x
0.09%1y
0.09%1z
0.09%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 169 to 77 computations (54.4% saved)

regimes138.0ms (1.5%)

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

3 calls:

40.0ms
y
32.0ms
z
27.0ms
x
Results
ErrorSegmentsBranch
3.84%3x
11.81%4y
3.88%3z
Compiler

Compiled 102 to 48 computations (52.9% saved)

bsearch68.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
2.7649058971735134e-10
1.4140211420636354e-6
32.0ms
-1584.5641005686934
-25.255053967964265
Results
32.0ms70×body1024valid
23.0ms137×body256valid
10.0ms33×body512valid
Compiler

Compiled 393 to 298 computations (24.2% saved)

regimes125.0ms (1.3%)

Counts
16 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x)))
(+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))
Calls

3 calls:

42.0ms
z
41.0ms
x
39.0ms
y
Results
ErrorSegmentsBranch
14.14%5x
11.81%4y
3.88%3z
Compiler

Compiled 95 to 47 computations (50.5% saved)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
5.914776070449575
7.696107147740201
17.0ms
-5.657644945698512e-31
-2.0520135643403247e-31
Results
19.0ms113×body256valid
10.0ms12×body1024valid
1.0ms3×body512valid
Compiler

Compiled 194 to 149 computations (23.2% saved)

regimes162.0ms (1.7%)

Counts
15 → 5
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) x)))
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
Calls

3 calls:

68.0ms
x
55.0ms
y
37.0ms
z
Results
ErrorSegmentsBranch
20.96%8x
15%5y
11.35%5z
Compiler

Compiled 85 to 42 computations (50.6% saved)

bsearch111.0ms (1.2%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
6.812065601669267e+158
1.2761463963610725e+165
34.0ms
8.398766635095643e+62
2.7846581438173667e+68
10.0ms
5.914776070449575
7.696107147740201
26.0ms
-8.202630023511659e+57
-1.6990252593829798e+56
Results
50.0ms321×body256valid
42.0ms89×body1024valid
13.0ms38×body512valid
Compiler

Compiled 490 to 355 computations (27.6% saved)

regimes134.0ms (1.4%)

Counts
11 → 4
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

70.0ms
x
32.0ms
y
29.0ms
z
Results
ErrorSegmentsBranch
21.05%10x
18.56%5y
12.11%4z
Compiler

Compiled 53 to 28 computations (47.2% saved)

bsearch78.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
8.398766635095643e+62
2.7846581438173667e+68
11.0ms
5.914776070449575
7.696107147740201
29.0ms
-8.202630023511659e+57
-1.6990252593829798e+56
Results
45.0ms231×body256valid
22.0ms48×body1024valid
7.0ms25×body512valid
Compiler

Compiled 310 to 229 computations (26.1% saved)

regimes151.0ms (1.6%)

Counts
10 → 7
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 z x)
(sin.f64 y)
(+.f64 z x)
(sin.f64 y)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

61.0ms
y
44.0ms
z
44.0ms
x
Results
ErrorSegmentsBranch
23.56%8x
23.56%10y
22.88%7z
Compiler

Compiled 49 to 27 computations (44.9% saved)

bsearch183.0ms (1.9%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
8.398766635095643e+62
2.7846581438173667e+68
36.0ms
2.1505018278400786e-63
3.302617666835041e-47
30.0ms
1.870014903462233e-107
1.363628029643206e-104
34.0ms
-6.663083493938756e-247
-4.3277038571614594e-266
22.0ms
-1.8535213991525298e-226
-4.322626567098928e-227
27.0ms
-8.202630023511659e+57
-1.6990252593829798e+56
Results
93.0ms594×body256valid
63.0ms146×body1024valid
17.0ms60×body512valid
Compiler

Compiled 700 to 529 computations (24.4% saved)

regimes64.0ms (0.7%)

Counts
9 → 4
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(sin.f64 y)
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(sin.f64 y)
(+.f64 z x)
Calls

3 calls:

25.0ms
z
22.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
30.62%4x
32.36%3y
33.84%5z
Compiler

Compiled 45 to 25 computations (44.4% saved)

bsearch167.0ms (1.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
87.0ms
7.7296795978887155e-59
1.2789689658857605e-54
46.0ms
3.8760232522505655e-217
5.857847073246466e-217
34.0ms
-2.269525923208874e-41
-1.5394225097693798e-45
Results
111.0ms197×body256valid
42.0ms88×body1024valid
10.0ms35×body512valid
Compiler

Compiled 310 to 225 computations (27.4% saved)

regimes37.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
(+.f64 y (+.f64 z x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 (+.f64 z x)))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z x)
Calls

3 calls:

15.0ms
x
15.0ms
y
5.0ms
z
Results
ErrorSegmentsBranch
32.72%3x
32.36%3y
37.31%1z
Compiler

Compiled 43 to 24 computations (44.2% saved)

bsearch71.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
1.5639861134506363e+50
3.205805536803546e+50
18.0ms
-4.41922681536765e+33
-9.448546018677084e+32
Results
68.0ms176×body256valid
Compiler

Compiled 194 to 134 computations (30.9% saved)

regimes23.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z y)
Outputs
(+.f64 z x)
(+.f64 z y)
(+.f64 z x)
Calls

3 calls:

13.0ms
x
5.0ms
y
4.0ms
z
Results
ErrorSegmentsBranch
34.15%3x
37.31%1y
37.31%1z
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch79.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
6.862775326085668e-128
3.191121712523737e-120
43.0ms
-5.815672534824286e-130
-9.666273175499298e-140
Results
35.0ms200×body256valid
31.0ms71×body1024valid
10.0ms33×body512valid
Compiler

Compiled 284 to 203 computations (28.5% saved)

regimes39.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 z x)
Outputs
(+.f64 z x)
Calls

3 calls:

29.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
37.31%1x
37.31%1y
37.31%1z
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes47.0ms (0.5%)

Accuracy

Total -31.2b remaining (-100.6%)

Threshold costs -31.2b (-100.6%)

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

3 calls:

21.0ms
y
12.0ms
x
12.0ms
z
Results
ErrorSegmentsBranch
48.51%3x
49.45%7y
48.58%3z
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch65.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
1.4140211420636354e-6
1.8531345178696802e-5
35.0ms
-3.326173059085826e-53
-5.378473157611819e-57
Results
33.0ms62×body1024valid
20.0ms127×body256valid
10.0ms35×body512valid
Compiler

Compiled 158 to 125 computations (20.9% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
10×if-if-or-not
2×+-rgt-identity
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103611
1137611
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 x -26) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y))) (if (<=.f64 x 5996272065288561/9671406556917033397649408) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z -6850788924988607/22835963083295358096932575511191922182123945984) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y))) (if (<=.f64 z 6) (+.f64 (sin.f64 y) x) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z -369999999999999996981327459132394656095770212371651362816) (*.f64 (cos.f64 y) z) (if (<=.f64 z 6) (+.f64 (sin.f64 y) x) (if (<=.f64 z 240000000000000007829447601155211065538340938625732871707250923667456) (+.f64 z x) (if (<=.f64 z 81999999999999998100365565849120637183698626382197671887373973994590698908130656860794811302491525999855247866011103933923744690020891090471292269088731368542699520) (*.f64 (cos.f64 y) z) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z -5200000000000000042333312764654435147250294392552285011968) (*.f64 (cos.f64 y) z) (if (<=.f64 z 6) (+.f64 (sin.f64 y) x) (if (<=.f64 z 215000000000000006016161691616980187384381578384569822819295669780480) (+.f64 z x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z -949999999999999967528300171191754122690465551316592623616) (*.f64 (cos.f64 y) z) (if (<=.f64 z -5441099777229961/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (+.f64 z x) (if (<=.f64 z -2361660589884215/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (sin.f64 y) (if (<=.f64 z 2178773334635829/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (+.f64 z x) (if (<=.f64 z 4348100198478055/13803492693581127574869511724554050904902217944340773110325048447598592) (sin.f64 y) (if (<=.f64 z 389999999999999980546432304400059334327478748185128955779271884800) (+.f64 z x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 x -2259756624739205/12554203470773361527671578846415332832204710888928069025792) (+.f64 z x) (if (<=.f64 x 3291338355677503/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (+.f64 y (+.f64 z x)) (if (<=.f64 x 7350083789478079/56539106072908298546665520023773392506479484700019806659891398441363832832) (sin.f64 y) (+.f64 z x))))
(if (<=.f64 y -1400000000000000039097473842544640) (+.f64 z x) (if (<=.f64 y 171999999999999996507854179366597234369751496523776) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x -716054195477281/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (+.f64 z x) (if (<=.f64 x 4953946674085437/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (+.f64 z y) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x -1311331805890207/3450873173395281893717377931138512726225554486085193277581262111899648) x (if (<=.f64 x 4722366482869645/590295810358705651712) z x))
x
Outputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(if (<=.f64 x -26) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y))) (if (<=.f64 x 5996272065288561/9671406556917033397649408) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))))
(if (or (<=.f64 x -26) (not (<=.f64 x 5996272065288561/9671406556917033397649408))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(if (<=.f64 z -6850788924988607/22835963083295358096932575511191922182123945984) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y))) (if (<=.f64 z 6) (+.f64 (sin.f64 y) x) (+.f64 (+.f64 x (-.f64 2 2)) (*.f64 z (cos.f64 y)))))
(if (or (<=.f64 z -6850788924988607/22835963083295358096932575511191922182123945984) (not (<=.f64 z 6))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (sin.f64 y)))
(if (<=.f64 z -369999999999999996981327459132394656095770212371651362816) (*.f64 (cos.f64 y) z) (if (<=.f64 z 6) (+.f64 (sin.f64 y) x) (if (<=.f64 z 240000000000000007829447601155211065538340938625732871707250923667456) (+.f64 z x) (if (<=.f64 z 81999999999999998100365565849120637183698626382197671887373973994590698908130656860794811302491525999855247866011103933923744690020891090471292269088731368542699520) (*.f64 (cos.f64 y) z) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z -369999999999999996981327459132394656095770212371651362816) (*.f64 z (cos.f64 y)) (if (<=.f64 z 6) (+.f64 x (sin.f64 y)) (if (<=.f64 z 240000000000000007829447601155211065538340938625732871707250923667456) (+.f64 z x) (if (<=.f64 z 81999999999999998100365565849120637183698626382197671887373973994590698908130656860794811302491525999855247866011103933923744690020891090471292269088731368542699520) (*.f64 z (cos.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(if (<=.f64 z -5200000000000000042333312764654435147250294392552285011968) (*.f64 (cos.f64 y) z) (if (<=.f64 z 6) (+.f64 (sin.f64 y) x) (if (<=.f64 z 215000000000000006016161691616980187384381578384569822819295669780480) (+.f64 z x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z -5200000000000000042333312764654435147250294392552285011968) (*.f64 z (cos.f64 y)) (if (<=.f64 z 6) (+.f64 x (sin.f64 y)) (if (<=.f64 z 215000000000000006016161691616980187384381578384569822819295669780480) (+.f64 z x) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z -949999999999999967528300171191754122690465551316592623616) (*.f64 (cos.f64 y) z) (if (<=.f64 z -5441099777229961/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (+.f64 z x) (if (<=.f64 z -2361660589884215/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (sin.f64 y) (if (<=.f64 z 2178773334635829/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (+.f64 z x) (if (<=.f64 z 4348100198478055/13803492693581127574869511724554050904902217944340773110325048447598592) (sin.f64 y) (if (<=.f64 z 389999999999999980546432304400059334327478748185128955779271884800) (+.f64 z x) (*.f64 (cos.f64 y) z)))))))
(if (<=.f64 z -949999999999999967528300171191754122690465551316592623616) (*.f64 z (cos.f64 y)) (if (<=.f64 z -5441099777229961/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008) (+.f64 z x) (if (<=.f64 z -2361660589884215/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (sin.f64 y) (if (<=.f64 z 2178773334635829/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (+.f64 z x) (if (<=.f64 z 4348100198478055/13803492693581127574869511724554050904902217944340773110325048447598592) (sin.f64 y) (if (<=.f64 z 389999999999999980546432304400059334327478748185128955779271884800) (+.f64 z x) (*.f64 z (cos.f64 y))))))))
(if (<=.f64 x -2259756624739205/12554203470773361527671578846415332832204710888928069025792) (+.f64 z x) (if (<=.f64 x 3291338355677503/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (+.f64 y (+.f64 z x)) (if (<=.f64 x 7350083789478079/56539106072908298546665520023773392506479484700019806659891398441363832832) (sin.f64 y) (+.f64 z x))))
(if (<=.f64 y -1400000000000000039097473842544640) (+.f64 z x) (if (<=.f64 y 171999999999999996507854179366597234369751496523776) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x -716054195477281/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (+.f64 z x) (if (<=.f64 x 4953946674085437/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (+.f64 z y) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x -1311331805890207/3450873173395281893717377931138512726225554486085193277581262111899648) x (if (<=.f64 x 4722366482869645/590295810358705651712) z x))
x
Compiler

Compiled 284 to 162 computations (43% saved)

soundness14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
12×fma-def
4×associate-+l+
2×associate-+r+
2×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
11623
22523
33123
Stop Event
1×saturated
Compiler

Compiled 29 to 10 computations (65.5% saved)

end116.0ms (1.2%)

Compiler

Compiled 248 to 96 computations (61.3% saved)

Profiling

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