Details

Time bar (total: 10.8s)

analyze246.0ms (2.3%)

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)

sample2.4s (21.9%)

Results
1.2s6227×body256valid
864.0ms1380×body1024valid
238.0ms647×body512valid
3.0ms2×body2048valid
Bogosity

preprocess7.0ms (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)

simplify12.0ms (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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
0.05%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.05%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 x (sin.f64 y))
✓0.01%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓0.15%
(*.f64 z (cos.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0%)

Counts
3 → 76
Calls

21 calls:

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

rewrite102.0ms (0.9%)

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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simplify151.0ms (1.4%)

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)

eval86.0ms (0.8%)

Compiler

Compiled 8720 to 2776 computations (68.2% saved)

prune58.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New30111312
Fresh000
Picked011
Done000
Total30112313
Error
0.02%
Counts
313 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.79%
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
49.47%
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) 2) (/.f64 (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
▶0.32%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
7.99%
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
28.26%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
▶0.84%
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓0.05%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
43.77%
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
▶40.28%
(+.f64 (sin.f64 y) x)
▶28.09%
(+.f64 z x)
34.27%
(+.f64 y (+.f64 z x))
54.79%
x
Compiler

Compiled 302 to 199 computations (34.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 x (sin.f64 y))
✓0.05%
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
✓0.13%
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
✓0.34%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
Compiler

Compiled 45 to 14 computations (68.9% saved)

series8.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite95.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1016×associate-*r/
752×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 x (sin.f64 y)))))
(/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(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 x (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) 1))))) (#(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 z (cos.f64 y)) 1) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) x) (sin.f64 y))))) (#(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 1 (*.f64 (*.f64 z (cos.f64 y)) 1)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (cos.f64 y) (neg.f64 z))) (*.f64 -1 (neg.f64 (+.f64 x (sin.f64 y)))))))) (#(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 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) 1) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) -1) (*.f64 (neg.f64 (+.f64 x (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (cos.f64 y) (neg.f64 z))) (neg.f64 (neg.f64 (+.f64 x (sin.f64 y)))))))) (#(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 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 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y)))))) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.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 (/.f64 1 (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 neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(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 exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))

simplify152.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
736×associate-+r+
670×+-commutative
628×associate-+l+
582×associate-/l*
528×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046213272
1125512720
2532012660
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)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (+.f64 (/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 2)))))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 4))))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 2) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (pow.f64 x 4))))))
(+.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))
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(-.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 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.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 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (neg.f64 (neg.f64 (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 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(*.f64 -1 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1)
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (neg.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -1))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (neg.f64 (neg.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 (neg.f64 (neg.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 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))
(/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (/.f64 -1 (neg.f64 (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)))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)))
(/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) (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)))) 2) (/.f64 1 (cbrt.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)))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (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 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1)
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (sqrt.f64 -1) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (/.f64 -1 (sqrt.f64 (neg.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)) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) (sqrt.f64 (cbrt.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)) (/.f64 (/.f64 1 (cbrt.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 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (/.f64 -1 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 1 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) -1) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) -1)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)) -1) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -1)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) 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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) -1) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) 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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.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)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (/.f64 1 (cbrt.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))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.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 (/.f64 1 (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)
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(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))
(exp.f64 (neg.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)))))
Outputs
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
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(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2)))
(/.f64 (sqrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) -1/2))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -1/2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) -1/2)) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -1/2))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -2)))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (sqrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (/.f64 -1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (/.f64 -1 (/.f64 -1 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2))
(/.f64 (sqrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) -1/2))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))))
(/.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) -2)))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(fabs.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.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)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.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)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.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 x (sin.f64 y)))) -1)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.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)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (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
y
@-inf
(+.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
x
@-inf
(+.f64 (sin.f64 y) x)

rewrite54.0ms (0.5%)

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)))))

simplify58.0ms (0.5%)

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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
✓13.48%
(*.f64 z (*.f64 y y))
Compiler

Compiled 35 to 10 computations (71.4% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 z (*.f64 y y))
0.0ms
x
@0
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
0.0ms
y
@0
(*.f64 z (*.f64 y y))
0.0ms
y
@inf
(*.f64 z (*.f64 y y))
0.0ms
z
@-inf
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1228×associate-*r/
1144×distribute-lft-in
918×associate-*l/
280×add-sqr-sqrt
272×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
126346
2362346
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(*.f64 z (*.f64 y y))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (+.f64 (+.f64 y x) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 (+.f64 z x) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 z y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 z x) (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 z (+.f64 y x)) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 z (+.f64 y x)) (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 z y) (+.f64 x (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y x) (+.f64 z (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 z x) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 z y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 z y) 1) (+.f64 x (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) x) (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (+.f64 z y) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y))) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) z) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) y) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) x) (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (*.f64 (+.f64 z y) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 (+.f64 z x) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 (+.f64 z y) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1)) (+.f64 z (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z (+.f64 y x)))) (-.f64 1 (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 z x))) (-.f64 (/.f64 (pow.f64 (+.f64 z x) 2) (-.f64 y (+.f64 z x))) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (exp.f64 (log1p.f64 (+.f64 z (+.f64 y x))))) 1)))) (#(struct:change 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(+.f64 z (+.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))))))

simplify100.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
888×*-commutative
838×associate-+l-
746×unswap-sqr
720×associate-+r-
632×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02174351
15913951
224283937
369553937
Stop Event
1×node limit
Counts
139 → 128
Calls
Call 1
Inputs
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) x))
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(+.f64 y (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) 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)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y y)))) 1)
(pow.f64 (*.f64 z (*.f64 y y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3)
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) 1))
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(+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 z (+.f64 y x)))
(+.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) z) (+.f64 y x))
(+.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) x) (+.f64 z y))
(+.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 y x)) z)
(+.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (+.f64 z y) 1)) x)
(+.f64 (+.f64 (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y))) x) z)
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) z) (+.f64 y x))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) y) (+.f64 z x))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) x) (+.f64 z y))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 z x)) y)
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 z y)) x)
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (+.f64 y x)) z)
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (*.f64 (+.f64 z y) 1)) x)
(+.f64 (*.f64 1 (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) (+.f64 z x))
(+.f64 (*.f64 1 (+.f64 (+.f64 z x) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) y)
(+.f64 (*.f64 1 (+.f64 (+.f64 z y) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))) x)
(+.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1)) (+.f64 z (+.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (+.f64 y x)))) (-.f64 1 (*.f64 (*.f64 -1/2 z) (*.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))))) 1)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 z x))) (-.f64 (/.f64 (pow.f64 (+.f64 z x) 2) (-.f64 y (+.f64 z x))) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (exp.f64 (log1p.f64 (+.f64 z (+.f64 y x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (/.f64 (*.f64 y y) (-.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (+.f64 z x) 2) (-.f64 y (+.f64 z x))))
(-.f64 (+.f64 (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (exp.f64 (log1p.f64 (+.f64 z x)))) 1)
(-.f64 (+.f64 (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (/.f64 (*.f64 z z) (-.f64 z x))) (/.f64 x (/.f64 (-.f64 z x) x)))
(-.f64 (+.f64 (+.f64 (+.f64 z x) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (exp.f64 (log1p.f64 y))) 1)
(-.f64 (+.f64 (+.f64 (+.f64 z y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (exp.f64 (log1p.f64 (+.f64 z (+.f64 y x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1) (/.f64 (*.f64 y y) (-.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (+.f64 z x) 2) (-.f64 y (+.f64 z x))))
(*.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 1)
(*.f64 1 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (pow.f64 (+.f64 z (+.f64 y x)) 2)) (-.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (+.f64 y x)) 3) (pow.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (-.f64 (pow.f64 (+.f64 z (+.f64 y x)) 2) (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (pow.f64 (+.f64 z (+.f64 y x)) 2))) (-.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 z (+.f64 y x)) 3) (pow.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 3))) (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (-.f64 (pow.f64 (+.f64 z (+.f64 y x)) 2) (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (pow.f64 (+.f64 z (+.f64 y x)) 2)) 1) (-.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 z (+.f64 y x)) 3) (pow.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 3)) 1) (+.f64 (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (*.f64 (*.f64 -1/2 z) (*.f64 y y))) (-.f64 (pow.f64 (+.f64 z (+.f64 y x)) 2) (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x))))))
(pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
Outputs
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(*.f64 (pow.f64 y 2) z)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(+.f64 y x)
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 z (+.f64 1 (*.f64 -1/2 (*.f64 y y))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(fma.f64 (*.f64 y (*.f64 z -1/2)) y z)
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 y (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z) x))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(neg.f64 (*.f64 z (fma.f64 1/2 (*.f64 y y) -1)))
(*.f64 (fma.f64 1/2 (*.f64 y y) -1) (neg.f64 z))
(*.f64 (fma.f64 y (*.f64 y 1/2) -1) (neg.f64 z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) x))
(+.f64 y (fma.f64 -1 (*.f64 z (fma.f64 1/2 (*.f64 y y) -1)) x))
(+.f64 y (-.f64 x (*.f64 z (fma.f64 1/2 (*.f64 y y) -1))))
(+.f64 y (-.f64 x (*.f64 z (fma.f64 y (*.f64 y 1/2) -1))))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) x))
(+.f64 y (fma.f64 -1 (*.f64 z (fma.f64 1/2 (*.f64 y y) -1)) x))
(+.f64 y (-.f64 x (*.f64 z (fma.f64 1/2 (*.f64 y y) -1))))
(+.f64 y (-.f64 x (*.f64 z (fma.f64 y (*.f64 y 1/2) -1))))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)) x))
(+.f64 y (fma.f64 -1 (*.f64 z (fma.f64 1/2 (*.f64 y y) -1)) x))
(+.f64 y (-.f64 x (*.f64 z (fma.f64 1/2 (*.f64 y y) -1))))
(+.f64 y (-.f64 x (*.f64 z (fma.f64 y (*.f64 y 1/2) -1))))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) y)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (+.f64 y z))
(+.f64 y (fma.f64 (*.f64 y (*.f64 z -1/2)) y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y y)))) 1)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(pow.f64 (*.f64 z (*.f64 y y)) 1)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(pow.f64 (*.f64 y (sqrt.f64 z)) 2)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) 3)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) 1/3)
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(sqrt.f64 (*.f64 (pow.f64 y 4) (*.f64 z z)))
(sqrt.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)))
(sqrt.f64 (*.f64 z (*.f64 z (pow.f64 y 4))))
(fabs.f64 (*.f64 y (*.f64 y z)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y y)))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y y)))))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y y) 3)))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 z 3)))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(exp.f64 (log.f64 (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) 1))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y y))))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 y z))
(+.f64 z (+.f64 (+.f64 y x) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 y (+.f64 (+.f64 z x) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 x (+.f64 (+.f64 z y) (*.f64 (*.f64 -1/2 z) (*.f64 y y))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (+.f64 z x) (+.f64 y (*.f64 (*.f64 -1/2 z) (*.f64 y y))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (*.f64 -1/2 z) (*.f64 y y)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) 1))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (+.f64 z y) (+.f64 x (*.f64 (*.f64 -1/2 z) (*.f64 y y))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(+.f64 (*.f64 (*.f64 -1/2 z) (*.f64 y y)) (+.f64 z (+.f64 y x)))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
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(/.f64 (fma.f64 (pow.f64 (*.f64 z -1/2) 3) (pow.f64 y 6) (pow.f64 (+.f64 x (+.f64 y z)) 3)) (fma.f64 (*.f64 (*.f64 z z) 1/4) (pow.f64 y 4) (*.f64 (+.f64 x (+.f64 y z)) (-.f64 (+.f64 x (+.f64 y z)) (*.f64 y (*.f64 y (*.f64 z -1/2)))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 z 3) -1/8) (pow.f64 y 6) (pow.f64 (+.f64 y (+.f64 z x)) 3)) (fma.f64 (*.f64 (*.f64 z z) 1/4) (pow.f64 y 4) (*.f64 (+.f64 y (+.f64 z x)) (+.f64 y (-.f64 (+.f64 z x) (*.f64 y (*.f64 y (*.f64 z -1/2))))))))
(pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 1)
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 2)
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 3)
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 3) 1/3)
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 2))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x))) 3))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))) 1))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z (+.f64 y x)))))
(+.f64 y (fma.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y y))) z x))
(+.f64 y (fma.f64 z (fma.f64 -1/2 (*.f64 y y) 1) x))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
0.15%
(*.f64 z (cos.f64 y))
✓0.9%
(cbrt.f64 (*.f64 z (cos.f64 y)))
✓1.16%
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series16.0ms (0.1%)

Counts
3 → 51
Calls

21 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
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)
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)

rewrite139.0ms (1.3%)

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

simplify154.0ms (1.4%)

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)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) 1) (-.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 1) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (sqrt.f64 (fma.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 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (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 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (cos.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 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (/.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 (/.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 (/.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 (/.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 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))))
(pow.f64 (fma.f64 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)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) 2) (cbrt.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 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (cos.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 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 z (cos.f64 y)) 4)) (-.f64 (+.f64 (sin.f64 y) 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 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (+.f64 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.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 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (+.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 z (cos.f64 y)) 4)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6)) (*.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) (fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6)) (*.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) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6)) (*.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)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (+.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))

eval253.0ms (2.3%)

Compiler

Compiled 21942 to 8357 computations (61.9% saved)

prune201.0ms (1.9%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New86916885
Fresh336
Picked011
Done235
Total87423897
Error
0%
Counts
897 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
45.72%
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) 2))
▶2.19%
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3))
49.01%
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) (-.f64 (*.f64 z (*.f64 (pow.f64 (cos.f64 y) 2) z)) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
28.45%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (fabs.f64 (+.f64 (sin.f64 y) x)))))
28.28%
(/.f64 1 (/.f64 1 (+.f64 z x)))
57.76%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
54.92%
(/.f64 1 (/.f64 1 x))
7.99%
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
34.27%
(+.f64 (+.f64 y z) x)
28.26%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
✓0.84%
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶42.44%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓0.05%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
43.77%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓40.28%
(+.f64 (sin.f64 y) x)
✓28.09%
(+.f64 z x)
▶60.32%
(+.f64 y x)
▶45.8%
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
57.69%
(*.f64 (cos.f64 y) z)
▶98.06%
(*.f64 y (*.f64 y (*.f64 z -1/2)))
98.16%
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
83.45%
(sin.f64 y)
54.79%
x
Compiler

Compiled 484 to 347 computations (28.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.34%
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3))
✓0.43%
(/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
✓0.92%
(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
✓1.18%
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3)
Compiler

Compiled 72 to 22 computations (69.4% saved)

series68.0ms (0.6%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3)
10.0ms
x
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3)
9.0ms
z
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3)
6.0ms
x
@0
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3)
4.0ms
z
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3)

rewrite131.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1366×associate-*r/
958×associate-*l/
632×distribute-lft-in
594×associate-/r*
356×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017138
1358112
24385112
Stop Event
1×node limit
Counts
4 → 292
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3)
(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3))
Outputs
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(cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))

simplify219.0ms (2%)

Algorithm
1×egg-herbie
Rules
1172×associate-/r*
988×associate-/l*
560×associate-*r/
558×*-commutative
558×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104129746
1301529432
Stop Event
1×node limit
Counts
388 → 494
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))))) (*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3)))
(+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/9) (pow.f64 (cos.f64 y) 2))))))) (pow.f64 z 2)) (*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3))))
(+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/9) (pow.f64 (cos.f64 y) 2))))))) (pow.f64 z 2)) (+.f64 (*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/9) (*.f64 (cos.f64 y) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/9) (pow.f64 (cos.f64 y) 2))))))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 10)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y))))))))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 z x)))
(+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 22)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 22)) 1/9)))) (*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 z x))))
(+.f64 (*.f64 y (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 22)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 22)) 1/9)))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 z x))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 32)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 z x)) 1/3) (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 35)) 1/9))))))) (pow.f64 (/.f64 1 (+.f64 z x)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 1 (pow.f64 (+.f64 z x) 3)) (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 (+.f64 z x) 2))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 35)) 1/9)))))) (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 z x) 35)) 1/9)))))))
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(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3))
(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)))
Outputs
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(/.f64 1 (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))))) (*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3)))
(fma.f64 z (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18)) (cos.f64 y)) -1) (/.f64 1 (+.f64 (sin.f64 y) x)))
(+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/9) (pow.f64 (cos.f64 y) 2))))))) (pow.f64 z 2)) (*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3))))
(fma.f64 z (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18)) (cos.f64 y)) -1) (fma.f64 (fma.f64 -1/3 (*.f64 1 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) x))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cbrt.f64 (+.f64 (sin.f64 y) x))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18)))))))) (*.f64 z z) (/.f64 1 (+.f64 (sin.f64 y) x))))
(fma.f64 z (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18)) (cos.f64 y)) -1) (fma.f64 (fma.f64 -1/3 (*.f64 1 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) x))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (cbrt.f64 (+.f64 (sin.f64 y) x))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18)))))))) (*.f64 z z) (/.f64 1 (+.f64 (sin.f64 y) x))))
(+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/9) (cos.f64 y))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/9) (pow.f64 (cos.f64 y) 2))))))) (pow.f64 z 2)) (+.f64 (*.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/9) (*.f64 (cos.f64 y) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/9) (pow.f64 (cos.f64 y) 2))))))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (sin.f64 y) x)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 10)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y))))))))))))) (pow.f64 z 3)))))
(fma.f64 z (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 22)) 1/18)) (cos.f64 y)) -1) (+.f64 (fma.f64 (fma.f64 -1/3 (*.f64 1 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) x))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cbrt.f64 (+.f64 (sin.f64 y) x))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18)))))))) (*.f64 z z) (/.f64 1 (+.f64 (sin.f64 y) x))) (*.f64 (fma.f64 2/9 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (*.f64 (cos.f64 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/18)))) (+.f64 (*.f64 -1/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16))) (pow.f64 (cos.f64 y) 3)) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (*.f64 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (*.f64 (cos.f64 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/18)))) 2/3)))) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/18)) (cos.f64 y)) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cbrt.f64 (+.f64 (sin.f64 y) x))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 32)) 1/18)))))) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) x))) (fma.f64 2/9 (*.f64 (*.f64 (cos.f64 y) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 10)) 1/18))) (*.f64 -2/3 (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16))) (pow.f64 (cos.f64 y) 3)) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (*.f64 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (*.f64 (cos.f64 y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/18)))) 2/3)))))))))) (pow.f64 z 3))))
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(sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))))) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7))) (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))) (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4))))))) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) 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(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18)))))) (*.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18)))) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18)))))))) (pow.f64 x 3) (*.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 19) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 16))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 19) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 16))) 1/18)) (+.f64 (*.f64 1/3 (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18)))))) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18)))))) (*.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))))) (*.f64 x x)))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3))) (fma.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 13)) 1/18)) (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 10)) 1/18)))) x (fma.f64 (fma.f64 (fma.f64 -2/9 (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4)) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 1/3))) (*.f64 (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (fma.f64 z (cos.f64 y) (sin.f64 y))))) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4))) (*.f64 (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))) (+.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4)) (*.f64 (/.f64 -1/27 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))))))) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (+.f64 (*.f64 (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18)))) (*.f64 -1/3 (+.f64 (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4))) (*.f64 (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/18))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))) (+.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 4)) (*.f64 (/.f64 -1/27 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))))) (*.f64 (/.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))) (*.f64 (/.f64 1/9 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18)))) (fma.f64 z (cos.f64 y) (sin.f64 y))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)) 1/18))))))) (pow.f64 x 3) (*.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 19) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 16))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 19) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 16))) 1/18)) (+.f64 (*.f64 1/3 (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 3)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 7)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))) (*.f64 (/.f64 1/9 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) 14)) 1/18))))))) (*.f64 x x)))))
(pow.f64 (+.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (+.f64 (sin.f64 y) x))
(+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1/9) (*.f64 (cos.f64 y) z))))
(+.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (*.f64 1/3 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1/18)))))
(+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 7)) 1/9) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1/9) (*.f64 (cos.f64 y) z)))))
(+.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 7)) 1/18)) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))) (*.f64 1/3 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 2)) 1/18))))))
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(*.f64 (neg.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)))) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1) -1)
(+.f64 x (fma.f64 z (cos.f64 y) (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 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6) 3))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2) 3) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2) -3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2) -3))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) -1/2) -6)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))) -3))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -2) -1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -3/2) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -3/2) -1))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) -3/2) -2)
(*.f64 (/.f64 (pow.f64 (cbrt.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)))) -1/2)) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2) (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/6)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) -1/2) (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -2))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) -2)))
(/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) -2)) 4) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) -1) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (/.f64 -1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2))) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 3)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(pow.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3) 1/3)
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -3))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 3))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.21%
(*.f64 y (*.f64 y (*.f64 z -1/2)))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 y (*.f64 y (*.f64 z -1/2)))
0.0ms
z
@-inf
(*.f64 y (*.f64 y (*.f64 z -1/2)))
0.0ms
z
@0
(*.f64 y (*.f64 y (*.f64 z -1/2)))
0.0ms
z
@inf
(*.f64 y (*.f64 y (*.f64 z -1/2)))
0.0ms
y
@inf
(*.f64 y (*.f64 y (*.f64 z -1/2)))

rewrite54.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1538×add-sqr-sqrt
1522×*-un-lft-identity
1412×add-cube-cbrt
1388×add-cbrt-cube
1372×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116219
2192519
Stop Event
1×node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 y (*.f64 y (*.f64 z -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (*.f64 z -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1686×distribute-rgt-in
1660×distribute-lft-in
920×associate-*r*
862×associate-+r+
840×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040684
1101684
2379684
32406684
Stop Event
1×node limit
Counts
36 → 15
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(-.f64 (+.f64 1 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 1)
(pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 1)
(pow.f64 (*.f64 y (sqrt.f64 (*.f64 z -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y (*.f64 z -1/2))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(-.f64 (+.f64 1 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 1)
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 1)
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(pow.f64 (*.f64 y (sqrt.f64 (*.f64 z -1/2))) 2)
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 3)
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(pow.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 3) 1/3)
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 2))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y (*.f64 z -1/2))))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y (*.f64 z -1/2))) 3))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(exp.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))) 1))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y (*.f64 z -1/2)))))
(*.f64 -1/2 (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(+.f64 x (sin.f64 y))
✓0.48%
(-.f64 (+.f64 x (sin.f64 y)) 1)
✓5.02%
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
Compiler

Compiled 26 to 12 computations (53.8% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1472×associate-*r/
1236×associate-*l/
896×*-commutative
352×associate-+l+
298×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
122328
2316228
Stop Event
1×node limit
Counts
2 → 229
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(-.f64 (+.f64 x (sin.f64 y)) 1)
Outputs
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(sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (sin.f64 y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) -1))))) (#(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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (sin.f64 y) -1))))))

simplify111.0ms (1%)

Algorithm
1×egg-herbie
Rules
802×distribute-lft-in
742×distribute-rgt-in
560×associate-*r*
518×associate-/l*
504×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060512819
1171212147
Stop Event
1×node limit
Counts
277 → 372
Calls
Call 1
Inputs
(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))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(-.f64 (sin.f64 y) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
x
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
x
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 x 1)
(-.f64 (+.f64 y x) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x)) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x))) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(-.f64 (+.f64 x (sin.f64 y)) 0)
(-.f64 (+.f64 1 (+.f64 x (sin.f64 y))) 1)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (sin.f64 y) 0)))
(-.f64 (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2) (-.f64 2 (+.f64 x (sin.f64 y)))))
(-.f64 (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))) (-.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2) (-.f64 2 (+.f64 x (sin.f64 y)))) 0))
(-.f64 (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2) (-.f64 2 (+.f64 x (sin.f64 y)))) 0))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))) (-.f64 (/.f64 1 (+.f64 1 (+.f64 x (sin.f64 y)))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) 1))
(-.f64 (/.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 x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) 0))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) 0))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) (/.f64 1 (+.f64 1 (+.f64 x (sin.f64 y)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(-.f64 (+.f64 (sin.f64 y) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 x (sin.f64 y)))
(*.f64 (+.f64 x (sin.f64 y)) 1)
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)) (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))) (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2)))) (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)))
(*.f64 (/.f64 1 (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(*.f64 (/.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 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (+.f64 x (sin.f64 y)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)) (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))) (+.f64 x (sin.f64 y)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)) (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3))) (+.f64 1 (+.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2)) (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2))))) (-.f64 1 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2)) (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2))) (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))) (-.f64 (*.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 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (*.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 1 (/.f64 1 (+.f64 x (sin.f64 y))))
(/.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)) (-.f64 2 (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)) (+.f64 1 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2))))
(/.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 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) 1))
(/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (/.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (+.f64 x (sin.f64 y))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))) (/.f64 (-.f64 2 (+.f64 x (sin.f64 y))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (/.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 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 (-.f64 x (sin.f64 y)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)))) (/.f64 (-.f64 2 (+.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (/.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 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (/.f64 (-.f64 x (sin.f64 y)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (-.f64 (sin.f64 y) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2) 1) (+.f64 (+.f64 x (sin.f64 y)) -2))
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 x (sin.f64 y))) (+.f64 1 (+.f64 x (sin.f64 y)))) 1) (+.f64 (+.f64 x (sin.f64 y)) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x (sin.f64 y))) 3) 1) (+.f64 (*.f64 (+.f64 1 (+.f64 x (sin.f64 y))) (+.f64 1 (+.f64 x (sin.f64 y)))) (+.f64 (+.f64 x (sin.f64 y)) 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))) (neg.f64 (-.f64 2 (+.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) (+.f64 (+.f64 x (sin.f64 y)) -2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 x (sin.f64 y))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1)) (/.f64 (+.f64 1 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 x (sin.f64 y)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1))) (/.f64 (+.f64 1 (+.f64 x (sin.f64 y))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 x (sin.f64 y)) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1))) (+.f64 (-.f64 x (sin.f64 y)) 1))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sin.f64 y) -1) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1)) (*.f64 x (+.f64 (sin.f64 y) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1)) (neg.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1)))) (+.f64 (-.f64 x (sin.f64 y)) 1))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sin.f64 y) -1) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1)) (*.f64 x (+.f64 (sin.f64 y) -1)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1))) (neg.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1))) (sqrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1))) (cbrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1))) 1) (+.f64 (-.f64 x (sin.f64 y)) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sin.f64 y) -1) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (sin.f64 y) -1) (+.f64 (sin.f64 y) -1)) (*.f64 x (+.f64 (sin.f64 y) -1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1)) 1) (neg.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1)) (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1)))) (sqrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 2)) (cbrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (/.f64 1 (+.f64 1 (+.f64 x (sin.f64 y))))) (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) 1) (/.f64 1 (+.f64 1 (+.f64 x (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))))) (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1) 1) (+.f64 1 (+.f64 x (sin.f64 y))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1) (sqrt.f64 (+.f64 1 (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) -1) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))) (cbrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))))
(pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (sin.f64 y) -1)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3))
(expm1.f64 (log.f64 (+.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))
(fma.f64 1 x (+.f64 (sin.f64 y) -1))
(fma.f64 1 (+.f64 x (sin.f64 y)) -1)
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (sin.f64 y) -1))
Outputs
(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 (*.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 (sin.f64 y) 1)
(+.f64 (sin.f64 y) -1)
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
x
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
x
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 y x) 1)
(+.f64 y (-.f64 x 1))
(+.f64 y (+.f64 x -1))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x)) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (+.f64 y x)) -1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x))) -1)
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (-.f64 (fma.f64 1/120 (pow.f64 y 5) x) 1)))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (sin.f64 y) x) 1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(-.f64 (+.f64 x (sin.f64 y)) 0)
(+.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (+.f64 x (sin.f64 y))) 1)
(+.f64 (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 x))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sin.f64 y)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (sin.f64 y))
(+.f64 (sin.f64 y) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (sin.f64 y) 0)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (sin.f64 y))
(+.f64 (sin.f64 y) (expm1.f64 (log1p.f64 x)))
(-.f64 (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2) (-.f64 2 (+.f64 x (sin.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) (-.f64 x 1)) 2)) (-.f64 2 (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x -1)) 2)) (-.f64 (-.f64 2 x) (sin.f64 y)))
(-.f64 (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))) (-.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2) (-.f64 2 (+.f64 x (sin.f64 y)))) 0))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) (-.f64 x 1)) 2)) (-.f64 2 (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x -1)) 2)) (-.f64 (-.f64 2 x) (sin.f64 y)))
(-.f64 (/.f64 1 (-.f64 2 (+.f64 x (sin.f64 y)))) (+.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2) (-.f64 2 (+.f64 x (sin.f64 y)))) 0))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) (-.f64 x 1)) 2)) (-.f64 2 (+.f64 (sin.f64 y) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x -1)) 2)) (-.f64 (-.f64 2 x) (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y)))) (-.f64 (/.f64 1 (+.f64 1 (+.f64 x (sin.f64 y)))) 1))
(+.f64 (sin.f64 y) x)
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (+.f64 (+.f64 (+.f64 x 1) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) 2))) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 y) x) 3)) (+.f64 1 (+.f64 (+.f64 (sin.f64 y) x) (pow.f64 (+.f64 (sin.f64 y) x) 2)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) 0))
(+.f64 (sin.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) 0))
(+.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 1 (+.f64 x (sin.f64 y))))) (/.f64 1 (+.f64 1 (+.f64 x (sin.f64 y)))))
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(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 2)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sin.f64 y) -1))) 3)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3) 1/3)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (-.f64 x 1)) 2))
(fabs.f64 (+.f64 (sin.f64 y) (+.f64 x -1)))
(log.f64 (exp.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (sin.f64 y) -1)))))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (sin.f64 y) -1)) 3))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(expm1.f64 (log.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(exp.f64 (log.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (sin.f64 y) -1))))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(fma.f64 1 x (+.f64 (sin.f64 y) -1))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(fma.f64 1 (+.f64 x (sin.f64 y)) -1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) -1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sin.f64 y) -1))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))) -1)
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (sin.f64 y) -1))
(+.f64 (sin.f64 y) (-.f64 x 1))
(+.f64 (sin.f64 y) (+.f64 x -1))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 x (sin.f64 y))
✓0.01%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓0.14%
(*.f64 (cos.f64 y) (sqrt.f64 z))
✓0.43%
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
Compiler

Compiled 42 to 10 computations (76.2% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

21 calls:

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

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1040×associate-*r/
1034×distribute-lft-in
1010×associate-*l/
460×associate-+l+
294×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01353
127649
2379449
Stop Event
1×node limit
Counts
3 → 127
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
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 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 (exp.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3/2) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 (cos.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(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 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) z) (/.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 x (sin.f64 y)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(fma.f64 (cos.f64 y) z (+.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 (cos.f64 y) z) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.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 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))))))) (#(struct:change #<rule 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egg-rr> (2) ((x fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (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)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (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 (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)) (+.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 (cos.f64 y) z) (sin.f64 y)))))))

simplify116.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1166×associate-+r+
1064×associate-+l+
948×+-commutative
634×associate-*r*
536×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03838775
110808529
252638529
Stop Event
1×node limit
Counts
199 → 224
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(sqrt.f64 z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (*.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.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 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.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 (exp.f64 (*.f64 (cos.f64 y) z)))
(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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))) 1)
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3/2)))
(cbrt.f64 (*.f64 (pow.f64 z 3/2) (pow.f64 (cos.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (+.f64 x (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 (+.f64 (*.f64 (cos.f64 y) z) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (-.f64 1 (*.f64 (cos.f64 y) z)))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (/.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 (cos.f64 y) z)))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1)
(*.f64 1 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (/.f64 1 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(*.f64 (/.f64 1 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))))
(/.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 1 (/.f64 1 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) (-.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (*.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (*.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) (-.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) 1) (-.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) (*.f64 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) 1) (neg.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (/.f64 1 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 3)) (/.f64 1 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (+.f64 x (sin.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (+.f64 x (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) 1) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (sqrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z)))) (-.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))
(fma.f64 1 x (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(fma.f64 1 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.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 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) z)
(+.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 z (*.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))))
(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)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))

eval565.0ms (5.2%)

Compiler

Compiled 46729 to 20938 computations (55.2% saved)

prune331.0ms (3.1%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New134871355
Fresh21214
Picked101
Done268
Total1353251378
Error
0%
Counts
1378 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
▶2.16%
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
45.72%
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) 2))
49.01%
(/.f64 1 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) (-.f64 (*.f64 z (*.f64 (pow.f64 (cos.f64 y) 2) z)) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
28.45%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (fabs.f64 (+.f64 (sin.f64 y) x)))))
▶28.28%
(/.f64 1 (/.f64 1 (+.f64 z x)))
57.76%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
54.92%
(/.f64 1 (/.f64 1 x))
7.99%
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
34.27%
(+.f64 (+.f64 y z) x)
▶60.02%
(+.f64 (+.f64 y x) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶28.26%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
✓0.84%
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓0.05%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
43.77%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓40.28%
(+.f64 (sin.f64 y) x)
✓28.09%
(+.f64 z x)
✓60.32%
(+.f64 y x)
45.95%
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (sin.f64 y) -1)))))
85.78%
(+.f64 1 (-.f64 (sin.f64 y) 1))
▶58.2%
(+.f64 1 (-.f64 x 1))
98.16%
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
57.69%
(*.f64 (cos.f64 y) z)
✓98.06%
(*.f64 y (*.f64 y (*.f64 z -1/2)))
83.45%
(sin.f64 y)
54.79%
x
Compiler

Compiled 504 to 368 computations (27% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.05%
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.43%
(/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
0.92%
(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
✓1.29%
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
Compiler

Compiled 57 to 16 computations (71.9% saved)

series46.0ms (0.4%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
8.0ms
z
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
8.0ms
x
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
7.0ms
x
@0
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
5.0ms
z
@0
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
752×associate-*r/
630×distribute-rgt-in
608×associate-*l/
598×distribute-lft-in
336×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01639
132723
2399823
Stop Event
1×node limit
Counts
1 → 61
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
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 x (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) 1))))) (#(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 z (cos.f64 y)) 1) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) x) (sin.f64 y))))) (#(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 1 (*.f64 (*.f64 z (cos.f64 y)) 1)) (+.f64 x (sin.f64 y)))))) (#(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 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) 1) (+.f64 x (sin.f64 y)))))) (#(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 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 1)))) (#(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 (*.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 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 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 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (/.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 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (#(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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2) -3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -3))))) (#(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 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.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 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) 1) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.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 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6) (pow.f64 (cbrt.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)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.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)))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.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)) -1)))) (#(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 exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))

simplify169.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1274×associate-*r*
982×associate-*l*
888×fma-def
818×associate-*r/
816×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056418237
1193218035
2707418035
Stop Event
1×node limit
Counts
81 → 122
Calls
Call 1
Inputs
(*.f64 (+.f64 (sin.f64 y) x) (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (sin.f64 y) x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/9) (cos.f64 y))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/9) (cos.f64 y)))) z))
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(-.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 (*.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 (*.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 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) 1) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(*.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 (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 (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 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2) -3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2) -3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -2)) -3) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -3))
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -1)
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) 1) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -1)
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (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 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6) (pow.f64 (cbrt.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)))) -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.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)))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(/.f64 (*.f64 (neg.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)) -1)
(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)))
Outputs
(*.f64 (+.f64 (sin.f64 y) x) (pow.f64 1 1/3))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (+.f64 (sin.f64 y) x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/9) (cos.f64 y))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/9) (cos.f64 y)))) z))
(+.f64 (+.f64 (sin.f64 y) x) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18)) (cos.f64 y)) 1) z))
(fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18)) (cos.f64 y)) z (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (+.f64 (sin.f64 y) x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/9) (cos.f64 y))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/9) (cos.f64 y)))) z) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) 1) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) 1) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/9) (pow.f64 (cos.f64 y) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 17)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 20)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -2 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) 1) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/9) (pow.f64 (cos.f64 y) 2)))))))))) (pow.f64 z 2))))
(+.f64 (+.f64 (sin.f64 y) x) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18)) (cos.f64 y)) 1) z (*.f64 (fma.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4))) (*.f64 -1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18)))))) (fma.f64 2/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 17)) 1/18))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 20)) 1/18))) (*.f64 -2 (*.f64 (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18)) (pow.f64 (cos.f64 y) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4))) (*.f64 -1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18))))) (cbrt.f64 (+.f64 (sin.f64 y) x)))))))) (*.f64 z z))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 4)) 1/18)) (cos.f64 y)) z (+.f64 (sin.f64 y) x)) (*.f64 z (*.f64 z (-.f64 (fma.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 20)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 20)) 1/18))) (*.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18))) (*.f64 (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18))) (pow.f64 (cos.f64 y) 2) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (*.f64 -1/3 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4))))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) -2))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 17)) 1/18))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2)) (fma.f64 -1/9 (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/18))) (*.f64 (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/18))) (pow.f64 (cos.f64 y) 2) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 3))) (*.f64 -1/3 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4))))))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 10)) 1/9) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 20)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -2 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) 1) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/9) (pow.f64 (cos.f64 y) 2))))))) (cos.f64 y)))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) x) 1) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) 1) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 16)) 1/3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) x) 4)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (cos.f64 y)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 13)) 1/9) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 (sin.f64 y) x) 3)))) (pow.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) 4) 1) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 23)) 1/9) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))) (*.f64 -1/9 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) x) 35)) 1/9) (pow.f64 (cos.f64 y) 2))) (*.f64 -1 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(/.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.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 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.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 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) 1) (cbrt.f64 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) 2) (cbrt.f64 (/.f64 1 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) 2) (cbrt.f64 (/.f64 1 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) -1/2))
(/.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) 1/6) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) -1/2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) -1/2)) (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) 1/6))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 2) 1) (neg.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) -1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) x) 2)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)))
(/.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 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (+.f64 (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sin.f64 y) x) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (fma.f64 (+.f64 (sin.f64 y) x) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))))
(/.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 1/6) (pow.f64 (cbrt.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)))) -1/2))
(/.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) 1/6) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) -1/2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) -1/2)) (pow.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) 1/6))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.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)))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(/.f64 (*.f64 (neg.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)) -1)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) 2))
(fabs.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) 3))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.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)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.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)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) 1))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.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)))))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.92%
(+.f64 1 (-.f64 x 1))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1286×add-sqr-sqrt
1270×*-un-lft-identity
1196×add-cube-cbrt
1188×add-cbrt-cube
1180×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11351
218601
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 1 (-.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (+.f64 x -1))) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (+.f64 x -1)) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)))))

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1552×associate-/r*
1214×associate-+r-
1026×associate-*r*
830×associate-*l*
646×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088645
1223541
2996503
35777503
Stop Event
1×node limit
Counts
47 → 47
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 x 0)
(-.f64 (+.f64 1 x) 1)
(-.f64 (/.f64 1 (-.f64 1 (+.f64 x -1))) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 (+.f64 x -1))))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 x -1)) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (+.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 1 (+.f64 x -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 x -1) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 x 0)
x
(-.f64 (+.f64 1 x) 1)
x
(-.f64 (/.f64 1 (-.f64 1 (+.f64 x -1))) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
x
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (-.f64 2 x) (pow.f64 (+.f64 x -1) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 x -1)) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (-.f64 2 x) (pow.f64 (+.f64 x -1) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (-.f64 2 x) (pow.f64 (+.f64 x -1) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 1 (+.f64 x -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (-.f64 2 x) (pow.f64 (+.f64 x -1) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (+.f64 (+.f64 1 x) 1))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1) (+.f64 2 x))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (+.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (fma.f64 (+.f64 x 1) (+.f64 x 1) (+.f64 2 x)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (-.f64 2 x) (pow.f64 (+.f64 x -1) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 (+.f64 x -1) 1)
x
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
x

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.04%
(/.f64 1 (+.f64 z x))
✓0.31%
(/.f64 1 (/.f64 1 (+.f64 z x)))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
z
@inf
(/.f64 1 (+.f64 z x))
0.0ms
z
@0
(/.f64 1 (+.f64 z x))
0.0ms
x
@0
(/.f64 1 (+.f64 z x))
0.0ms
z
@-inf
(/.f64 1 (+.f64 z x))
0.0ms
x
@inf
(/.f64 1 (+.f64 z x))

rewrite58.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1626×add-sqr-sqrt
1606×*-un-lft-identity
1506×add-cube-cbrt
1492×add-cbrt-cube
154×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117520
2206520
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (+.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) 2) (cbrt.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 z z (*.f64 x (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 z x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 z x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z x) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 z x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z x) -1/2) (pow.f64 (+.f64 z x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) (cbrt.f64 (pow.f64 (+.f64 z x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z x) -2)) (/.f64 1 (cbrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 z x)) -1) (pow.f64 (sqrt.f64 (+.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 z x))))))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1330×unswap-sqr
934×associate-/r*
840×associate-*r/
688×associate-/l*
570×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01541863
13811755
216241683
Stop Event
1×node limit
Counts
107 → 97
Calls
Call 1
Inputs
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(+.f64 z x)
(+.f64 x z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) 1)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))
(*.f64 1 (+.f64 z x))
(*.f64 (+.f64 z x) 1)
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) 2) (cbrt.f64 (+.f64 z x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 z z (*.f64 x (-.f64 x z)))))
(*.f64 -1 (neg.f64 (+.f64 z x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 z x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 z x) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z x) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) -1))
(pow.f64 (+.f64 z x) 1)
(pow.f64 (/.f64 1 (+.f64 z x)) -1)
(pow.f64 (sqrt.f64 (+.f64 z x)) 2)
(pow.f64 (cbrt.f64 (+.f64 z x)) 3)
(pow.f64 (pow.f64 (+.f64 z x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 z x) 2))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z x))))
(cbrt.f64 (pow.f64 (+.f64 z x) 3))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 z x))) -1))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(fma.f64 1 z x)
(fma.f64 1 x z)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 z x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 z x)))
(*.f64 (/.f64 1 (+.f64 z x)) 1)
(*.f64 (pow.f64 (+.f64 z x) -1/2) (pow.f64 (+.f64 z x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) (cbrt.f64 (pow.f64 (+.f64 z x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 z x) -2)) (/.f64 1 (cbrt.f64 (+.f64 z x))))
(*.f64 -1 (/.f64 -1 (+.f64 z x)))
(*.f64 (/.f64 1 (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 z x)) -1) (pow.f64 (sqrt.f64 (+.f64 z x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 z x)) -1))
(pow.f64 (+.f64 z x) -1)
(pow.f64 (/.f64 1 (+.f64 z x)) 1)
(pow.f64 (pow.f64 (+.f64 z x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 z x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 z x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 z x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 z x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 z x))))
Outputs
x
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
z
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
z
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
z
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
x
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
x
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(+.f64 z x)
(+.f64 x z)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) (/.f64 (*.f64 z z) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (*.f64 z z) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (+.f64 (/.f64 z (*.f64 x x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 x (*.f64 z z)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3)))
(+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z))))
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))))
(fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 x (*.f64 z z)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3)))
(+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z))))
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))))
(fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 x (*.f64 z z)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3)))
(+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z))))
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))))
(fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) (/.f64 (*.f64 z z) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (*.f64 z z) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (+.f64 (/.f64 z (*.f64 x x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) (/.f64 (*.f64 z z) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (*.f64 z z) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)))
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (+.f64 (/.f64 z (*.f64 x x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))))
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)))
(+.f64 z x)
(+.f64 x z)
(+.f64 x z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) 1)
(+.f64 x z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))
(+.f64 x z)
(*.f64 1 (+.f64 z x))
(+.f64 x z)
(*.f64 (+.f64 z x) 1)
(+.f64 x z)
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(+.f64 x z)
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) 2))
(+.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) 2) (cbrt.f64 (+.f64 z x)))
(+.f64 x z)
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
(+.f64 x z)
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 z 3)) 1) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(*.f64 -1 (neg.f64 (+.f64 z x)))
(+.f64 x z)
(*.f64 (pow.f64 (pow.f64 (+.f64 z x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 z x) -1/2) -1))
(+.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z x) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x z) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 x z)))))
(/.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (pow.f64 (+.f64 x z) -2)))
(pow.f64 (+.f64 z x) 1)
(+.f64 x z)
(pow.f64 (/.f64 1 (+.f64 z x)) -1)
(+.f64 x z)
(pow.f64 (sqrt.f64 (+.f64 z x)) 2)
(+.f64 x z)
(pow.f64 (cbrt.f64 (+.f64 z x)) 3)
(+.f64 x z)
(pow.f64 (pow.f64 (+.f64 z x) 3) 1/3)
(+.f64 x z)
(sqrt.f64 (pow.f64 (+.f64 z x) 2))
(+.f64 x z)
(log.f64 (exp.f64 (+.f64 z x)))
(+.f64 x z)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z x))))
(+.f64 x z)
(cbrt.f64 (pow.f64 (+.f64 z x) 3))
(+.f64 x z)
(expm1.f64 (log1p.f64 (+.f64 z x)))
(+.f64 x z)
(exp.f64 (log.f64 (+.f64 z x)))
(+.f64 x z)
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) 1))
(+.f64 x z)
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 z x))) -1))
(+.f64 x z)
(log1p.f64 (expm1.f64 (+.f64 z x)))
(+.f64 x z)
(fma.f64 1 z x)
(+.f64 x z)
(fma.f64 1 x z)
(+.f64 x z)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(+.f64 x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) z)
(+.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) x)
(+.f64 x z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 z x)))) 1)
(/.f64 1 (+.f64 x z))
(*.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (+.f64 x z))
(*.f64 (/.f64 1 (+.f64 z x)) 1)
(/.f64 1 (+.f64 x z))
(*.f64 (pow.f64 (+.f64 z x) -1/2) (pow.f64 (+.f64 z x) -1/2))
(/.f64 1 (+.f64 x z))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) (cbrt.f64 (pow.f64 (+.f64 z x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x z) -2)) (/.f64 1 (cbrt.f64 (+.f64 x z))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) -2)) (cbrt.f64 (+.f64 x z)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 z x) -2)) (/.f64 1 (cbrt.f64 (+.f64 z x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x z) -2)) (/.f64 1 (cbrt.f64 (+.f64 x z))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) -2)) (cbrt.f64 (+.f64 x z)))
(*.f64 -1 (/.f64 -1 (+.f64 z x)))
(/.f64 1 (+.f64 x z))
(*.f64 (/.f64 1 (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))
(/.f64 1 (+.f64 x z))
(*.f64 (/.f64 1 (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 z 3))))
(/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 z x)) -1) (pow.f64 (sqrt.f64 (+.f64 z x)) -1))
(/.f64 1 (+.f64 x z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 z x)) -1))
(/.f64 1 (+.f64 x z))
(pow.f64 (+.f64 z x) -1)
(/.f64 1 (+.f64 x z))
(pow.f64 (/.f64 1 (+.f64 z x)) 1)
(/.f64 1 (+.f64 x z))
(pow.f64 (pow.f64 (+.f64 z x) -1/2) 2)
(/.f64 1 (+.f64 x z))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) 3)
(/.f64 1 (+.f64 x z))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3) 1/3)
(/.f64 1 (+.f64 x z))
(sqrt.f64 (pow.f64 (+.f64 z x) -2))
(/.f64 1 (+.f64 x z))
(log.f64 (exp.f64 (/.f64 1 (+.f64 z x))))
(/.f64 1 (+.f64 x z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 z x)))))
(/.f64 1 (+.f64 x z))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3))
(/.f64 1 (+.f64 x z))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 z x))))
(/.f64 1 (+.f64 x z))
(exp.f64 (neg.f64 (log.f64 (+.f64 z x))))
(/.f64 1 (+.f64 x z))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) -1))
(/.f64 1 (+.f64 x z))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 z x))) 1))
(/.f64 1 (+.f64 x z))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 z x))))
(/.f64 1 (+.f64 x z))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
0.15%
(*.f64 z (cos.f64 y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite170.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1094×*-commutative
902×associate-*r/
866×distribute-lft-in
846×distribute-rgt-in
802×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121719
2305919
Stop Event
1×node limit
Counts
1 → 94
Calls
Call 1
Inputs
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
Outputs
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cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (+.f64 x (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 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simplify138.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1802×associate-/r*
718×+-commutative
646×associate-/r/
606×associate-+r+
572×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02896754
18466362
238026362
Stop Event
1×node limit
Counts
130 → 188
Calls
Call 1
Inputs
(+.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 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 y (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 y x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 y (*.f64 z (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (+.f64 x (*.f64 z (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) (-.f64 1 (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) 2) (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(-.f64 (+.f64 (+.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 y x)))) 1)
(-.f64 (+.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 y y) (-.f64 y x))) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 y))) 1)
(-.f64 (+.f64 (+.f64 y (*.f64 z (cos.f64 y))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 1)
(*.f64 1 (fma.f64 z (cos.f64 y) (+.f64 y x)))
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(*.f64 (/.f64 1 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))) (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))) (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (fma.f64 z (cos.f64 y) (+.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 y x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (+.f64 y x) 2)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))) (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 y x) 2) 3) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (+.f64 y x) 2)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))) (*.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) (/.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))) (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))) (/.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))) (fma.f64 z (cos.f64 y) (+.f64 y x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (/.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y))))) (-.f64 y (+.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 y x) 2)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.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 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))) (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (+.f64 y x) 2)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (*.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))) (+.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 x (*.f64 z (cos.f64 y))) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y)))) (*.f64 y (+.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 y x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 y x) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (*.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))) (+.f64 (*.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (+.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 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 y y) (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y)))))) (-.f64 y (+.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 y x) 2))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 x (*.f64 z (cos.f64 y))) 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y)))) (*.f64 y (+.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (neg.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y))))) 1) (-.f64 y (+.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (+.f64 y x) 2)) 1) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 x (*.f64 z (cos.f64 y))) 3)) 1) (+.f64 (*.f64 y y) (-.f64 (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y)))) (*.f64 y (+.f64 x (*.f64 z (cos.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 1) (neg.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2)) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (+.f64 y x) 2)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (/.f64 1 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 y x) 2) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 3)) (/.f64 1 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))))) (+.f64 (*.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (+.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 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))) (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 y x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 3)) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y)))))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (+.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (cos.f64 y))))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(fma.f64 z (cos.f64 y) (+.f64 y x))
(fma.f64 (cos.f64 y) z (+.f64 y x))
(fma.f64 1 y (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 1 (+.f64 y x) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (+.f64 y x)) (*.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 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 z x) y)
(+.f64 z (+.f64 x y))
(+.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 (+.f64 z x) y))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 x (+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 y z) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x)))
(+.f64 (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x) (+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 y (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) y)
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 y (*.f64 z (cos.f64 y)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (+.f64 y (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) y) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (-.f64 1 (+.f64 x y)))
(+.f64 y (+.f64 x (expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))
(+.f64 x (+.f64 y (expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (+.f64 x (*.f64 z (cos.f64 y)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y)) (pow.f64 (+.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (neg.f64 y)) x) (pow.f64 (+.f64 x y) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y)) (pow.f64 (+.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (neg.f64 y)) x) (pow.f64 (+.f64 x y) 2)))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 1)
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 2)
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))) 3)
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 3) 1/3)
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x y)) 2))
(fabs.f64 (fma.f64 z (cos.f64 y) (+.f64 x y)))
(fabs.f64 (+.f64 x (fma.f64 z (cos.f64 y) y)))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 y x)) 3))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (+.f64 y x))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 z (cos.f64 y) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 (cos.f64 y) z (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 1 y (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 1 (+.f64 y x) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 1 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (+.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (+.f64 y x) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
0.14%
(*.f64 (cos.f64 y) (sqrt.f64 z))
0.43%
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite122.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1030×associate-*r/
1018×distribute-lft-in
960×associate-*l/
454×associate-+l+
274×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01223
125719
2357519
Stop Event
1×node limit
Counts
1 → 99
Calls
Call 1
Inputs
(+.f64 (+.f64 y x) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (+.f64 x (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 (+.f64 x (*.f64 (cos.f64 y) z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y x))) (-.f64 1 (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 y (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (-.f64 (/.f64 x (/.f64 (-.f64 y x) x)) (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 y x) 2) (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) 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simplify114.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
858×associate-/r/
780×+-commutative
732×associate-/l/
680×associate-+r+
636×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03086885
19176555
242396555
Stop Event
1×node limit
Counts
135 → 194
Calls
Call 1
Inputs
(+.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 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (sqrt.f64 (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z)))) (sqrt.f64 (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (+.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (+.f64 y x)))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))))))
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))))
(fma.f64 (cos.f64 y) z (+.f64 y x))
(fma.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z)) (+.f64 y x))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 y x))
(fma.f64 1 y (+.f64 x (*.f64 (cos.f64 y) z)))
(fma.f64 1 (+.f64 y x) (*.f64 (cos.f64 y) z))
(fma.f64 1 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 (cos.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (+.f64 y x)) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 x (*.f64 (cos.f64 y) z)))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 z x) y)
(+.f64 z (+.f64 x y))
(+.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 (+.f64 z x) y))
(+.f64 (+.f64 z x) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 z (+.f64 x (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) z)) x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 (+.f64 y z) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x)))
(+.f64 (+.f64 z (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) x)) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
y
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 y (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) y)
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z))) x))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) (-.f64 1 (+.f64 y x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) (+.f64 x y))
(+.f64 x (+.f64 y (expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (+.f64 x (*.f64 (cos.f64 y) z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 y)) 1) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) x) (expm1.f64 (log1p.f64 y)))
(-.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (*.f64 (+.f64 x (*.f64 (cos.f64 y) z)) 1)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 y)) 1) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) x) (expm1.f64 (log1p.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) (-.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) 1) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (expm1.f64 (log1p.f64 (+.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 y (*.f64 (cos.f64 y) z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (+.f64 y (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) y) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)))) 1)
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (-.f64 (/.f64 x (/.f64 (-.f64 y x) x)) (*.f64 (cos.f64 y) z)))
(+.f64 (-.f64 (/.f64 y (/.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 y x)) x)) (*.f64 z (cos.f64 y)))
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 y (/.f64 (-.f64 y x) y))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) 2) (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(-.f64 (+.f64 (+.f64 y x) (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1) (+.f64 x y))
(+.f64 x (+.f64 y (expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (exp.f64 (log1p.f64 (+.f64 y x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) 1) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (expm1.f64 (log1p.f64 (+.f64 x y))))
(-.f64 (+.f64 (*.f64 (cos.f64 y) z) (/.f64 (*.f64 y y) (-.f64 y x))) (/.f64 x (/.f64 (-.f64 y x) x)))
(+.f64 (-.f64 (/.f64 y (/.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 y x)) x)) (*.f64 z (cos.f64 y)))
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 y (/.f64 (-.f64 y x) y))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (+.f64 (+.f64 x (*.f64 (cos.f64 y) z)) (exp.f64 (log1p.f64 y))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 y)) 1) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) x) (expm1.f64 (log1p.f64 y)))
(-.f64 (+.f64 (+.f64 y (*.f64 (cos.f64 y) z)) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (+.f64 y (*.f64 z (cos.f64 y))))
(+.f64 (fma.f64 z (cos.f64 y) y) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 y x)) 1)
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 1 (fma.f64 (cos.f64 y) z (+.f64 y x)))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))) (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))) 2))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (+.f64 y x))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (/.f64 1 (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 z (cos.f64 y) (-.f64 (neg.f64 y) x))) (pow.f64 (+.f64 x y) 2)))
(*.f64 (/.f64 1 (-.f64 (+.f64 y x) (*.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 y x))))) (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 z (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (cos.f64 y) (*.f64 z (fma.f64 z (cos.f64 y) (-.f64 (neg.f64 y) x))) (pow.f64 (+.f64 x y) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)) (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (fma.f64 (cos.f64 y) z (+.f64 y x)))
(fma.f64 z (cos.f64 y) (+.f64 x y))
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(fma.f64 z (cos.f64 y) (+.f64 x y))
(+.f64 x (fma.f64 z (cos.f64 y) y))

eval619.0ms (5.7%)

Compiler

Compiled 41622 to 18666 computations (55.2% saved)

prune279.0ms (2.6%)

Pruning

31 alts after pruning (24 fresh and 7 done)

PrunedKeptTotal
New997121009
Fresh21214
Picked011
Done4610
Total1003311034
Error
0%
Counts
1034 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
44.9%
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) -3)
29.55%
(pow.f64 (cbrt.f64 (+.f64 z x)) 3)
48.88%
(/.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)))
45.72%
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) 2))
28.45%
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (fabs.f64 (+.f64 (sin.f64 y) x)))))
57.76%
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
71.04%
(/.f64 1 (/.f64 1 z))
54.92%
(/.f64 1 (/.f64 1 x))
55.06%
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)))
55.38%
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))))
7.99%
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
58.19%
(-.f64 (+.f64 1 x) 1)
34.27%
(+.f64 (+.f64 z x) y)
28.9%
(+.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3))
✓60.02%
(+.f64 (+.f64 y x) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓28.26%
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
✓0.05%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
43.77%
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓40.28%
(+.f64 (sin.f64 y) x)
✓28.09%
(+.f64 z x)
✓60.32%
(+.f64 y x)
45.95%
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (sin.f64 y) -1)))))
85.78%
(+.f64 1 (-.f64 (sin.f64 y) 1))
67.61%
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
98.16%
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
57.69%
(*.f64 (cos.f64 y) z)
✓98.06%
(*.f64 y (*.f64 y (*.f64 z -1/2)))
83.45%
(sin.f64 y)
70.99%
z
94.76%
y
54.79%
x
Compiler

Compiled 336 to 243 computations (27.7% saved)

regimes125.0ms (1.2%)

Counts
47 → 1
Calls
Call 1
Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 1 (-.f64 x 1))
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y z) x)
(+.f64 (+.f64 z x) y)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (sin.f64 y) -1)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(pow.f64 (cbrt.f64 (+.f64 z x)) 3)
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3))
(+.f64 (+.f64 y x) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (+.f64 (+.f64 (*.f64 z (cos.f64 y)) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 y) z) x) (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(/.f64 1 (/.f64 1 (fma.f64 z (cos.f64 y) (fabs.f64 (+.f64 (sin.f64 y) x)))))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) -3)
(/.f64 1 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) -1/2) 2))
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) 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 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x)) (-.f64 (*.f64 z (*.f64 (pow.f64 (cos.f64 y) 2) z)) (pow.f64 (+.f64 (sin.f64 y) x) 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) 2) (/.f64 (cbrt.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2)))))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

50.0ms
z
22.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
0.05%1x
0.05%1y
0.05%1z
0.05%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 468 to 203 computations (56.6% saved)

regimes226.0ms (2.1%)

Counts
31 → 3
Calls
Call 1
Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 1 (-.f64 x 1))
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y z) x)
(+.f64 (+.f64 z x) y)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (sin.f64 y) -1)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(pow.f64 (cbrt.f64 (+.f64 z x)) 3)
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
Outputs
(+.f64 z x)
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(+.f64 z x)
Calls

3 calls:

122.0ms
z
56.0ms
y
41.0ms
x
Results
ErrorSegmentsBranch
9.4%3x
11.91%4y
10.42%4z
Compiler

Compiled 206 to 104 computations (49.5% saved)

bsearch75.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
4.140449932455953e-20
3.774260071263151e-6
35.0ms
-3.5462796942515304e-53
-9.228462821396662e-56
Results
31.0ms69×body1024valid
27.0ms175×body256valid
13.0ms44×body512valid
Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes150.0ms (1.4%)

Counts
29 → 4
Calls
Call 1
Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 1 (-.f64 x 1))
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y z) x)
(+.f64 (+.f64 z x) y)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 (sin.f64 y) -1)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 y (+.f64 z x)))
(pow.f64 (cbrt.f64 (+.f64 z x)) 3)
Outputs
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

61.0ms
z
40.0ms
x
39.0ms
y
Results
ErrorSegmentsBranch
22.25%3x
14.41%3y
10.42%4z
Compiler

Compiled 192 to 102 computations (46.9% saved)

bsearch94.0ms (0.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
2.3161763333624116e+141
1.4491397629753558e+146
33.0ms
3.0236020764024944e-6
5.866754942403375
29.0ms
-1.1707615934019083e+21
-656990748081.9652
Results
48.0ms312×body256valid
30.0ms67×body1024valid
10.0ms37×body512valid
Compiler

Compiled 453 to 326 computations (28% saved)

regimes284.0ms (2.6%)

Counts
24 → 4
Calls
Call 1
Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 1 (-.f64 x 1))
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y z) x)
(+.f64 (+.f64 z x) y)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 1 (-.f64 (+.f64 x (sin.f64 y)) 1))
Outputs
(+.f64 z x)
(+.f64 (sin.f64 y) x)
(+.f64 z x)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

133.0ms
x
92.0ms
y
54.0ms
z
Results
ErrorSegmentsBranch
20.42%5x
12.91%5y
11.25%4z
Compiler

Compiled 146 to 82 computations (43.8% saved)

bsearch124.0ms (1.1%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
2.3161763333624116e+141
1.4491397629753558e+146
30.0ms
3.0236020764024944e-6
5.866754942403375
63.0ms
-1.1707615934019083e+21
-656990748081.9652
Results
49.0ms320×body256valid
47.0ms48×body512valid
22.0ms48×body1024valid
Compiler

Compiled 408 to 299 computations (26.7% saved)

regimes343.0ms (3.2%)

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

3 calls:

155.0ms
z
94.0ms
y
91.0ms
x
Results
ErrorSegmentsBranch
20.42%5x
20.93%6y
18.88%6z
Compiler

Compiled 128 to 72 computations (43.8% saved)

bsearch186.0ms (1.7%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
2.3161763333624116e+141
1.4491397629753558e+146
37.0ms
1.369119804598324e-46
9.221139369784353e-42
30.0ms
1.8176663520317455e-107
3.803441524670967e-99
46.0ms
3.1197845809080524e-206
6.314161297330007e-204
44.0ms
9.44828775665937e-289
7.676636999263375e-285
Results
106.0ms523×body256valid
42.0ms62×body512valid
29.0ms71×body1024valid
Compiler

Compiled 567 to 431 computations (24% saved)

regimes132.0ms (1.2%)

Counts
20 → 5
Calls
Call 1
Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 1 (-.f64 x 1))
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y z) x)
(+.f64 (+.f64 z x) y)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
(sin.f64 y)
Outputs
(+.f64 z x)
(sin.f64 y)
(+.f64 z x)
(sin.f64 y)
(+.f64 z x)
Calls

3 calls:

50.0ms
y
47.0ms
z
31.0ms
x
Results
ErrorSegmentsBranch
25.83%3x
23.93%5y
23.69%5z
Compiler

Compiled 124 to 70 computations (43.5% saved)

bsearch106.0ms (1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
1.369119804598324e-46
9.221139369784353e-42
26.0ms
1.8176663520317455e-107
3.803441524670967e-99
23.0ms
3.1197845809080524e-206
6.314161297330007e-204
26.0ms
9.44828775665937e-289
7.676636999263375e-285
Results
66.0ms433×body256valid
23.0ms55×body1024valid
11.0ms40×body512valid
Compiler

Compiled 447 to 343 computations (23.3% saved)

regimes98.0ms (0.9%)

Counts
19 → 3
Calls
Call 1
Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 1 (-.f64 x 1))
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y z) x)
(+.f64 (+.f64 z x) y)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 1 z))
(*.f64 -1/2 (*.f64 z (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 z -1/2)))
(*.f64 (*.f64 y y) (*.f64 -1/2 z))
(/.f64 1 (/.f64 1 (+.f64 z x)))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))))
(/.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 1 (-.f64 z x)))
Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z x)
Calls

3 calls:

27.0ms
y
27.0ms
x
9.0ms
z
Results
ErrorSegmentsBranch
25.99%3x
25.74%3y
28.09%1z
Compiler

Compiled 122 to 69 computations (43.4% saved)

bsearch95.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
69.0ms
7.364207822490947e+86
2.3479152521947462e+90
26.0ms
-2.347139519074494e+69
-5.085335048055516e+60
Results
51.0ms195×body256valid
40.0ms77×body512valid
Compiler

Compiled 290 to 200 computations (31% saved)

regimes51.0ms (0.5%)

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

3 calls:

39.0ms
z
5.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
28.09%1x
28.09%1y
28.09%1z
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes54.0ms (0.5%)

Counts
4 → 3
Calls
Call 1
Inputs
x
y
z
(+.f64 y x)
Outputs
x
z
x
Calls

3 calls:

27.0ms
y
15.0ms
z
11.0ms
x
Results
ErrorSegmentsBranch
40.24%3x
45.43%7y
43.97%3z
Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch126.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
101.0ms
6.288306304317655e-87
3.702853420009926e-79
25.0ms
-9.228462821396662e-56
-9.544386332192176e-57
Results
62.0ms160×body256valid
38.0ms25×body512valid
23.0ms55×body1024valid
Compiler

Compiled 168 to 133 computations (20.8% saved)

regimes16.0ms (0.2%)

Accuracy

Total -28.7b remaining (-85.1%)

Threshold costs -28.7b (-85.1%)

Counts
2 → 3
Calls
Call 1
Inputs
x
y
Outputs
x
y
x
Calls

3 calls:

9.0ms
x
4.0ms
z
3.0ms
y
Results
ErrorSegmentsBranch
52.74%3x
54.79%1y
54.79%1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch126.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
57.0ms
1.789115660860561e-174
3.113712972818717e-174
70.0ms
-2.620526181063888e-108
-3.8451181053335388e-121
Results
66.0ms139×body256valid
51.0ms61×body1024valid
7.0ms24×body512valid
Compiler

Compiled 158 to 125 computations (20.9% saved)

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
14×if-if-or-not
10×if-not
8×not-or
6×not-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084471
1112471
2115471
3121469
4125469
5130469
6131469
7133469
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 x -7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 z x) (if (<=.f64 x 8239728901483491/158456325028528675187087900672) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 z x)))
(if (<=.f64 z -29000000000000000) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y))) (if (<=.f64 z 8028023020878397/2361183241434822606848) (+.f64 (sin.f64 y) x) (if (<=.f64 z 5500000000000000217245805913856543827573061857529117763492716043180573836558600043331892824114258837710603020990482453960339114978257068309348352) (+.f64 z x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z -660000000000) (+.f64 z x) (if (<=.f64 z 3659834024223975/1180591620717411303424) (+.f64 (sin.f64 y) x) (if (<=.f64 z 22000000000000000868983223655426175310292247430116471053970864172722295346234400173327571296457035350842412083961929815841356459913028273237393408) (+.f64 z x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (+.f64 z x) (if (<=.f64 z 6145054374149081/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) (sin.f64 y) (if (<=.f64 z 1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 z x) (if (<=.f64 z 7096238403447701/51422017416287688817342786954917203280710495801049370729644032) (sin.f64 y) (if (<=.f64 z 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160) (+.f64 z x) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (+.f64 z x) (if (<=.f64 z 5783580587434429/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) (sin.f64 y) (if (<=.f64 z 1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 z x) (if (<=.f64 z 7096238403447701/51422017416287688817342786954917203280710495801049370729644032) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 y -5900000000000000200920790699822669685485594872302417165156352) (+.f64 z x) (if (<=.f64 y 749999999999999969562543342262772048618997067236338579752304257355027942213215819137024) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x -6625676492918941/220855883097298041197912187592864814478435487109452369765200775161577472) x (if (<=.f64 x 750932942315945/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) z x))
(if (<=.f64 x -7450096924029971/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) x (if (<=.f64 x 3453019022126173/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) y x))
x
Outputs
(+.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 -7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 z x) (if (<=.f64 x 8239728901483491/158456325028528675187087900672) (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (+.f64 z x)))
(if (<=.f64 x -7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 x z) (if (<=.f64 x 8239728901483491/158456325028528675187087900672) (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (+.f64 x z)))
(if (<=.f64 z -29000000000000000) (+.f64 (+.f64 y x) (*.f64 z (cos.f64 y))) (if (<=.f64 z 8028023020878397/2361183241434822606848) (+.f64 (sin.f64 y) x) (if (<=.f64 z 5500000000000000217245805913856543827573061857529117763492716043180573836558600043331892824114258837710603020990482453960339114978257068309348352) (+.f64 z x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z -29000000000000000) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x y)) (if (<=.f64 z 8028023020878397/2361183241434822606848) (+.f64 x (sin.f64 y)) (if (<=.f64 z 5500000000000000217245805913856543827573061857529117763492716043180573836558600043331892824114258837710603020990482453960339114978257068309348352) (+.f64 x z) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z -660000000000) (+.f64 z x) (if (<=.f64 z 3659834024223975/1180591620717411303424) (+.f64 (sin.f64 y) x) (if (<=.f64 z 22000000000000000868983223655426175310292247430116471053970864172722295346234400173327571296457035350842412083961929815841356459913028273237393408) (+.f64 z x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z -660000000000) (+.f64 x z) (if (<=.f64 z 3659834024223975/1180591620717411303424) (+.f64 x (sin.f64 y)) (if (<=.f64 z 22000000000000000868983223655426175310292247430116471053970864172722295346234400173327571296457035350842412083961929815841356459913028273237393408) (+.f64 x z) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (+.f64 z x) (if (<=.f64 z 6145054374149081/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) (sin.f64 y) (if (<=.f64 z 1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 z x) (if (<=.f64 z 7096238403447701/51422017416287688817342786954917203280710495801049370729644032) (sin.f64 y) (if (<=.f64 z 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160) (+.f64 z x) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (+.f64 x z) (if (<=.f64 z 6145054374149081/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) (sin.f64 y) (if (<=.f64 z 1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 x z) (if (<=.f64 z 7096238403447701/51422017416287688817342786954917203280710495801049370729644032) (sin.f64 y) (if (<=.f64 z 9599999999999999892203179870608187029049523496078806786739211794943990924053135781602706238786921833644820564511713079096649814073481006940160) (+.f64 x z) (*.f64 z (cos.f64 y)))))))
(if (<=.f64 z 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (+.f64 z x) (if (<=.f64 z 5783580587434429/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) (sin.f64 y) (if (<=.f64 z 1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 z x) (if (<=.f64 z 7096238403447701/51422017416287688817342786954917203280710495801049370729644032) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 z 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (+.f64 x z) (if (<=.f64 z 5783580587434429/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) (sin.f64 y) (if (<=.f64 z 1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 x z) (if (<=.f64 z 7096238403447701/51422017416287688817342786954917203280710495801049370729644032) (sin.f64 y) (+.f64 x z)))))
(if (<=.f64 z 1255674149046407/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (+.f64 x z) (if (or (<=.f64 z 5783580587434429/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) (and (not (<=.f64 z 1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272)) (<=.f64 z 7096238403447701/51422017416287688817342786954917203280710495801049370729644032))) (sin.f64 y) (+.f64 x z)))
(if (<=.f64 y -5900000000000000200920790699822669685485594872302417165156352) (+.f64 z x) (if (<=.f64 y 749999999999999969562543342262772048618997067236338579752304257355027942213215819137024) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 y -5900000000000000200920790699822669685485594872302417165156352) (+.f64 x z) (if (<=.f64 y 749999999999999969562543342262772048618997067236338579752304257355027942213215819137024) (+.f64 y (+.f64 x z)) (+.f64 x z)))
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 x -6625676492918941/220855883097298041197912187592864814478435487109452369765200775161577472) x (if (<=.f64 x 750932942315945/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) z x))
(if (<=.f64 x -7450096924029971/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) x (if (<=.f64 x 3453019022126173/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456) y x))
x
Compiler

Compiled 227 to 134 computations (41% saved)

soundness0.0ms (0%)

end80.0ms (0.7%)

Compiler

Compiled 197 to 83 computations (57.9% saved)

Profiling

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