Details

Time bar (total: 7.2s)

analyze246.0ms (3.4%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (32.5%)

Results
1.2s6255×body256valid
876.0ms1343×body1024valid
221.0ms655×body512valid
2.0ms3×body2048valid
Bogosity

preprocess16.0ms (0.2%)

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 (0.2%)

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
0.1b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (sin.f64 y))
✓0.0b
(sin.f64 y)
✓0.2b
(*.f64 z (cos.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series4.0ms (0.1%)

Counts
3 → 44
Calls

15 calls:

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

rewrite76.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
936×*-commutative
780×unswap-sqr
554×swap-sqr
410×distribute-lft-in
404×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
120427
2261127
Stop Event
1×node limit
Counts
3 → 127
Calls
Call 1
Inputs
(*.f64 z (cos.f64 y))
(sin.f64 y)
(+.f64 x (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))) (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.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 (sin.f64 y) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(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 1 (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (neg.f64 (-.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 x x) (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) 2))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((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 (pow.f64 x 4) (*.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y)))) (cbrt.f64 (+.f64 x (sin.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y)))) (cbrt.f64 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y))))) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 x (sin.f64 y))))))) (#(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 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (/.f64 (fma.f64 x x (*.f64 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((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.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))))))

simplify89.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
742×associate-/r/
656×associate-+r+
604×+-commutative
560×associate-/l/
540×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03695019
110034659
244494655
Stop Event
1×node limit
Counts
171 → 206
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)))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(+.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 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) -1)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))) (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (exp.f64 (log1p.f64 (sin.f64 y)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) (-.f64 1 x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))
(-.f64 (+.f64 (sin.f64 y) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (+.f64 x (sin.f64 y)) 1)
(*.f64 1 (+.f64 x (sin.f64 y)))
(*.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 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 x (sin.f64 y))))
(*.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 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (sin.f64 y) x)))
(*.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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (neg.f64 (-.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (/.f64 1 (neg.f64 (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)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (+.f64 x (sin.f64 y)))
(*.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 x x) (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) 2))) (-.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 (pow.f64 x 4) (*.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y)))) (cbrt.f64 (+.f64 x (sin.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y)))) (cbrt.f64 (+.f64 x (sin.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y))))) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (sin.f64 y))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) 3) 1/6))
(/.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))
(/.f64 1 (/.f64 1 (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.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 (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 (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 (*.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 (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 (*.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 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (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 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x))))
(/.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 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.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)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) 1) (-.f64 (sin.f64 y) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 1) (neg.f64 (-.f64 x (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.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 (*.f64 (sqrt.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 (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 (*.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 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x 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 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (/.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 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.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 (sin.f64 y)) (sqrt.f64 x))) (-.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)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))) (+.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))))
(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)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (neg.f64 (-.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))
(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))))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(fma.f64 1 (sin.f64 y) x)
(fma.f64 1 x (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (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)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(+.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 (fma.f64 -1/6 (pow.f64 y 3) y) x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.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 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) -1)
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(*.f64 (cos.f64 y) z)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1) (*.f64 (cos.f64 y) z)) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (cos.f64 y) z)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1))
(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 (cos.f64 y)) z))
(*.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)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(+.f64 (exp.f64 (log1p.f64 (sin.f64 y))) -1)
(sin.f64 y)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))
(sin.f64 y)
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(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (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)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.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)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(*.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 (sin.f64 y) 3/2) (pow.f64 x 3/2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (sqrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)))
(*.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 (sin.f64 y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 y))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (-.f64 x (sin.f64 y))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (-.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)) 1) (-.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 1) (neg.f64 (-.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (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)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.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 (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))))
(*.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 (sin.f64 y) 3/2) (pow.f64 x 3/2)))
(/.f64 (*.f64 (sqrt.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 (sqrt.f64 (+.f64 (sin.f64 y) x)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) x)) (sqrt.f64 (-.f64 x (sin.f64 y)))) (sqrt.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 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)))
(*.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 (sin.f64 y) 3) (pow.f64 x 3))))
(/.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 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (-.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) x)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (/.f64 1 (-.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (-.f64 x (sin.f64 y))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 x x (pow.f64 (sin.f64 y) 2))))
(/.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 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (sin.f64 y) 2) 3)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4)) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (pow.f64 (sin.f64 y) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (sin.f64 y) x) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 (pow.f64 (sin.f64 y) 4) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (/.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 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6)) (*.f64 (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 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.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 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (sin.f64 y) 6) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))
(/.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 (sin.f64 y)) (sqrt.f64 x))) (-.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 (sin.f64 y)) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (*.f64 (+.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) (-.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 (sin.f64 y) 3) (pow.f64 x 3)) 1) (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)) (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 (sin.f64 y) 3) (pow.f64 x 3)) 1) (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)) (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 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (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)) (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 y)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))) (+.f64 (sin.f64 y) x)) (+.f64 1 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 (sin.f64 y) x)))) (+.f64 1 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))) (+.f64 (/.f64 x (/.f64 (-.f64 x (sin.f64 y)) x)) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x (sin.f64 y))) x) (*.f64 (/.f64 x (-.f64 x (sin.f64 y))) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))) (+.f64 (*.f64 (/.f64 x (-.f64 x (sin.f64 y))) x) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (/.f64 x (-.f64 x (sin.f64 y))) x (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y))))) (fma.f64 (/.f64 x (-.f64 x (sin.f64 y))) x (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x (sin.f64 y))) x (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (sin.f64 y)))) (fma.f64 (/.f64 x (-.f64 x (sin.f64 y))) x (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 x (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)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (neg.f64 (-.f64 x (sin.f64 y)))))
(+.f64 (sin.f64 y) x)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1) (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)) (fma.f64 x x (*.f64 (sin.f64 y) (-.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)
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(+.f64 (sin.f64 y) x)
(fma.f64 1 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(fma.f64 1 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 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 y))
(+.f64 (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) x)
(+.f64 (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 y))
(+.f64 (sin.f64 y) x)

eval56.0ms (0.8%)

Compiler

Compiled 4768 to 1705 computations (64.2% saved)

prune38.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2006206
Fresh000
Picked101
Done000
Total2016207
Error
0.0b
Counts
207 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
▶0.6b
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶11.5b
(+.f64 (+.f64 x (sin.f64 y)) z)
▶0.1b
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y)))
▶28.2b
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶9.6b
(+.f64 x (*.f64 z (cos.f64 y)))
Compiler

Compiled 144 to 102 computations (29.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))
✓0.1b
(expm1.f64 (log1p.f64 (sin.f64 y)))
0.2b
(*.f64 z (cos.f64 y))
✓0.3b
(log1p.f64 (sin.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series48.0ms (0.7%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
25.0ms
y
@inf
(log1p.f64 (sin.f64 y))
22.0ms
y
@-inf
(log1p.f64 (sin.f64 y))
1.0ms
y
@0
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(expm1.f64 (log1p.f64 (sin.f64 y)))
0.0ms
y
@0
(+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))

rewrite67.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1760×add-sqr-sqrt
1744×*-un-lft-identity
1624×add-cube-cbrt
1606×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118425
2215025
Stop Event
1×node limit
Counts
3 → 74
Calls
Call 1
Inputs
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) 1) (+.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) (+.f64 1 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2)) (/.f64 1 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2)) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (-.f64 (*.f64 x x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (*.f64 x x)) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))) (neg.f64 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))) (neg.f64 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (expm1.f64 (log1p.f64 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (expm1.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (expm1.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (expm1.f64 (log1p.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) x)))))

simplify56.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1396×fma-def
1082×distribute-lft-in
1044×unswap-sqr
998×distribute-rgt-in
510×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961704
14601666
219451656
Stop Event
1×node limit
Counts
122 → 117
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(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 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(*.f64 1 (log1p.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(+.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) -1)
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1)
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 1 (expm1.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) 1) (+.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) (+.f64 1 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1))))
(pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))
(log.f64 (exp.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))
(sin.f64 y)
(exp.f64 (log.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))) 1)
(-.f64 (+.f64 x (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(*.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 1 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(*.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2)) (/.f64 1 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x)))))
(/.f64 1 (/.f64 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2)) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (-.f64 (*.f64 x x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (*.f64 x x)) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))) (neg.f64 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))) (neg.f64 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x)))))
(pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 2))
(log.f64 (exp.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(fma.f64 1 (expm1.f64 (log1p.f64 (sin.f64 y))) x)
(fma.f64 1 x (expm1.f64 (log1p.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) x)
Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y -1/2) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 -1/2 (*.f64 y y) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(fma.f64 -1/2 (*.f64 y y) (+.f64 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/12 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/12 (pow.f64 y 4) y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(fma.f64 (pow.f64 y 3) -1/6 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
x
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
x
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
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))
(fma.f64 (pow.f64 y 3) -1/6 (+.f64 y x))
(+.f64 y (fma.f64 (pow.f64 y 3) -1/6 x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) x)))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) x))
(+.f64 (fma.f64 (pow.f64 y 3) -1/6 y) (fma.f64 1/120 (pow.f64 y 5) x))
(+.f64 y (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)
(log1p.f64 (sin.f64 y))
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(*.f64 1 (log1p.f64 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(log1p.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(log1p.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(log1p.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(log1p.f64 (sin.f64 y))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(log1p.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 (sin.f64 y) 1))
(log1p.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(log1p.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(log1p.f64 (sin.f64 y))
(+.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) -1)
(sin.f64 y)
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1)
(sin.f64 y)
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(*.f64 1 (expm1.f64 (log1p.f64 (sin.f64 y))))
(sin.f64 y)
(*.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(sin.f64 y)
(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(sin.f64 y)
(/.f64 (-.f64 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) 1) (+.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1))
(sin.f64 y)
(/.f64 (-.f64 (pow.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) (+.f64 1 (*.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) -1) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (fma.f64 (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (+.f64 2 (sin.f64 y)))))
(pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))
(sin.f64 y)
(log.f64 (exp.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(sin.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (sin.f64 y))))))
(sin.f64 y)
(cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))
(sin.f64 y)
(sin.f64 y)
(exp.f64 (log.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))))
(sin.f64 y)
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1) (-.f64 1 x))
(+.f64 x (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))) 1)
(+.f64 x (sin.f64 y))
(-.f64 (+.f64 x (+.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 1)) 1)
(+.f64 x (sin.f64 y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(*.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 1)
(+.f64 x (sin.f64 y))
(*.f64 1 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))
(+.f64 x (sin.f64 y))
(*.f64 (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(+.f64 x (sin.f64 y))
(*.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2))
(+.f64 x (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2) (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(+.f64 x (sin.f64 y))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2)) (/.f64 1 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 1 (/.f64 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2)) (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (-.f64 (*.f64 x x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2) (*.f64 x x)) (-.f64 (expm1.f64 (log1p.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 (*.f64 x x) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 2))) (neg.f64 (-.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) 3))) (neg.f64 (fma.f64 x x (*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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)) (fma.f64 x (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 1)
(+.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 2)
(+.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 3)
(+.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 3) 1/3)
(+.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 2))
(+.f64 x (sin.f64 y))
(log.f64 (exp.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(+.f64 x (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))))))
(+.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) 3))
(+.f64 x (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(+.f64 x (sin.f64 y))
(exp.f64 (log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(+.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))) 1))
(+.f64 x (sin.f64 y))
(log1p.f64 (expm1.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y))))))
(+.f64 x (sin.f64 y))
(fma.f64 1 (expm1.f64 (log1p.f64 (sin.f64 y))) x)
(+.f64 x (sin.f64 y))
(fma.f64 1 x (expm1.f64 (log1p.f64 (sin.f64 y))))
(+.f64 x (sin.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(+.f64 x (sin.f64 y))
(fma.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) (sqrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) x)
(+.f64 x (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (expm1.f64 (log1p.f64 (sin.f64 y))))
(+.f64 x (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (sin.f64 y)))) x)
(+.f64 x (sin.f64 y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (cos.f64 y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
0.0b
(sin.f64 y)
0.2b
(*.f64 z (cos.f64 y))
Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1984×add-sqr-sqrt
1968×*-un-lft-identity
1828×add-cube-cbrt
1808×add-cbrt-cube
196×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
118517
2241417
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (sin.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))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))))

simplify58.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1384×distribute-lft-in
1254×distribute-rgt-in
638×*-commutative
602×associate-+r+
524×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051673
12651623
210281623
337151623
Stop Event
1×node limit
Counts
61 → 55
Calls
Call 1
Inputs
z
(+.f64 y z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y))
(+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y))
(+.f64 z (fma.f64 (*.f64 y y) (*.f64 z -1/2) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y z)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (+.f64 z y)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 z (fma.f64 -1/2 (*.f64 z (*.f64 y y)) y)))
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (*.f64 y y) (*.f64 z -1/2) y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 1 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (sin.f64 y) 2)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) (fma.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (pow.f64 (sin.f64 y) 2)))
(pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 1)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3) 1/3)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 1))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.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))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 1 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sin.f64 y))
0.2b
(*.f64 z (cos.f64 y))
✓0.6b
(cbrt.f64 (*.f64 z (cos.f64 y)))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite58.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify81.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1340×distribute-lft-in
1338×distribute-rgt-in
1198×fma-def
520×associate-+r+
466×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02011795
15531709
220111635
376961635
Stop Event
1×node limit
Counts
81 → 89
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3))))) (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))) 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 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 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 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) z)) (*.f64 -1/6 (*.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))) (*.f64 1/36 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3)))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (*.f64 (*.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) (fma.f64 (*.f64 z -1/2) (*.f64 y y) 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 (*.f64 z -1/24) (*.f64 (cbrt.f64 (/.f64 1 z)) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (fma.f64 (*.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 (*.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (*.f64 z -1/2) (*.f64 y y) (fma.f64 (fma.f64 1/3 (*.f64 z -1/24) (fma.f64 (fma.f64 2/3 (*.f64 z (*.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (*.f64 -1/2 (*.f64 y y)) (fma.f64 (fma.f64 1/3 (*.f64 z -23/2160) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (*.f64 (*.f64 z -23/2160) 2/3) (*.f64 (*.f64 z -1/24) -1/9))) (cbrt.f64 z) (fma.f64 (*.f64 z -1/24) -1/9 (*.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (*.f64 -1/6 (cbrt.f64 z)))))) (pow.f64 y 6) (fma.f64 (fma.f64 (fma.f64 (*.f64 z -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 z))) (*.f64 1/36 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z) (fma.f64 z 1/18 (*.f64 z -1/72))) (pow.f64 y 4) z)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))
(fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(fma.f64 -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 (pow.f64 y 4) z) -1/24)) (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(fma.f64 -1/6 (*.f64 y (*.f64 y (cbrt.f64 z))) (fma.f64 (*.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (*.f64 z z)))) (*.f64 z -1/72) (cbrt.f64 z)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 6) (-.f64 (*.f64 -1/720 z) (+.f64 (*.f64 -1/216 z) (*.f64 -1/3 (-.f64 (*.f64 1/24 z) (*.f64 1/12 z)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/24 z) (*.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (-.f64 (*.f64 z -1/720) (fma.f64 -1/216 z (*.f64 -1/3 (*.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (*.f64 (*.f64 z -1/24) (pow.f64 y 4))) (+.f64 (*.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 z z)))) (+.f64 (*.f64 (-.f64 (*.f64 z 7/2160) (*.f64 z 1/72)) (pow.f64 y 6)) (*.f64 (*.f64 (pow.f64 y 4) z) -1/24))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (fma.f64 (*.f64 z -23/2160) (pow.f64 y 6) (*.f64 (*.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 -1/6 (*.f64 y (*.f64 y (cbrt.f64 z))) (cbrt.f64 z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1)
(*.f64 z (cos.f64 y))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 1/6) 3))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(*.f64 z (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)) 1))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)))
(*.f64 z (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

eval187.0ms (2.6%)

Compiler

Compiled 15467 to 6124 computations (60.4% saved)

prune160.0ms (2.2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New71716733
Fresh101
Picked101
Done134
Total72019739
Error
0.0b
Counts
739 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
24.7b
(+.f64 (+.f64 y x) z)
0.7b
(+.f64 (+.f64 x (sin.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))))
0.5b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
0.6b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
30.1b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶0.3b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
▶16.3b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓11.5b
(+.f64 (+.f64 x (sin.f64 y)) z)
11.5b
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) z)
✓28.2b
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
46.2b
(+.f64 z y)
34.9b
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
▶10.1b
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓9.6b
(+.f64 x (*.f64 z (cos.f64 y)))
▶20.9b
(+.f64 x z)
37.0b
(*.f64 (cos.f64 y) z)
▶53.8b
(sin.f64 y)
48.2b
z
Compiler

Compiled 460 to 298 computations (35.2% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
✓0.2b
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
✓0.2b
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓0.3b
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 57 to 22 computations (61.4% saved)

series16.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

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

rewrite72.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
121856
2249456
Stop Event
1×node limit
Counts
4 → 67
Calls
Call 1
Inputs
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))))

simplify79.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
864×associate-/l*
806×distribute-rgt-in
804×distribute-lft-in
792×associate-/r*
742×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01942335
14152289
216512253
360662247
Stop Event
1×node limit
Counts
139 → 131
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 -1/1701 (pow.f64 y 8)) (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z))))
(+.f64 (*.f64 -1/1701 (*.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))) 1)
(pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1)
(pow.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (*.f64 -23/6480 (pow.f64 y 6)) (+.f64 (*.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (*.f64 -1/6 (*.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (*.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
(+.f64 1 (+.f64 (*.f64 -1/1701 (pow.f64 y 8)) (+.f64 (*.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (*.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (*.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.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 (*.f64 y y) z) z)
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) z)
(*.f64 z (fma.f64 (*.f64 y y) -1/2 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 1/24 (pow.f64 y 4)) z))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 (pow.f64 y 4) 1/24) z z))
(*.f64 z (+.f64 (*.f64 (pow.f64 y 4) 1/24) (fma.f64 (*.f64 y y) -1/2 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/720 (*.f64 (pow.f64 y 6) z) (+.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 (pow.f64 y 6) z) (fma.f64 (*.f64 (pow.f64 y 4) 1/24) z z)))
(fma.f64 z (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)) (*.f64 z (fma.f64 (pow.f64 y 4) 1/24 1)))
(*.f64 z (+.f64 (fma.f64 (*.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
z
(+.f64 z (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 z (*.f64 -1/3 (*.f64 (*.f64 y y) z)))
(fma.f64 -1/3 (*.f64 y (*.f64 y z)) z)
(fma.f64 (*.f64 y y) (*.f64 -1/3 z) z)
(+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z))))
(+.f64 z (fma.f64 -1/405 (*.f64 (pow.f64 y 6) z) (*.f64 -1/3 (*.f64 (*.f64 y y) z))))
(+.f64 z (*.f64 z (fma.f64 (*.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405))))
(fma.f64 z (fma.f64 y (*.f64 y -1/3) (*.f64 (pow.f64 y 6) -1/405)) z)
(+.f64 (*.f64 -1/1701 (*.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (*.f64 -1/405 (*.f64 (pow.f64 y 6) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))))
(fma.f64 -1/1701 (*.f64 (pow.f64 y 8) z) (+.f64 z (fma.f64 -1/405 (*.f64 (pow.f64 y 6) z) (*.f64 -1/3 (*.f64 (*.f64 y y) z)))))
(+.f64 (*.f64 z (fma.f64 (*.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405))) (fma.f64 -1/1701 (*.f64 (pow.f64 y 8) z) z))
(+.f64 z (*.f64 z (fma.f64 y (*.f64 y -1/3) (fma.f64 -1/1701 (pow.f64 y 8) (*.f64 (pow.f64 y 6) -1/405)))))
(*.f64 z (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 2))
(*.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 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z) 1/3)
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (*.f64 z z)))
(fabs.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z))
(cbrt.f64 (*.f64 z (pow.f64 (*.f64 (cos.f64 y) z) 2)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

localize4.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (cos.f64 y))
0.6b
(cbrt.f64 (*.f64 z (cos.f64 y)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
Compiler

Compiled 34 to 12 computations (64.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 10 computations (77.8% saved)

series5.0ms (0.1%)

Counts
3 → 44
Calls

15 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 z (sqrt.f64 (cos.f64 y)))
0.0ms
y
@inf
(*.f64 z (sqrt.f64 (cos.f64 y)))
0.0ms
y
@-inf
(*.f64 z (sqrt.f64 (cos.f64 y)))
0.0ms
y
@0
(*.f64 z (sqrt.f64 (cos.f64 y)))
0.0ms
z
@-inf
(*.f64 z (sqrt.f64 (cos.f64 y)))

rewrite62.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1644×add-sqr-sqrt
1630×*-un-lft-identity
1504×add-cube-cbrt
1478×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
117535
2209035
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))))))

simplify66.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
704×log-prod
670×+-commutative
630×fma-def
592×distribute-lft-in
582×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01491361
13281329
212841295
345791265
Stop Event
1×node limit
Counts
93 → 97
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -19/5760 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z)))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))) 1)
(pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(pow.f64 (cos.f64 y) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (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 z (fma.f64 (*.f64 y -1/2) y 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) z) (*.f64 1/24 (*.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(*.f64 z (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 -1/720 (*.f64 z (pow.f64 y 6)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
z
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/4 (*.f64 z (*.f64 y y)) z)
(fma.f64 (*.f64 y (*.f64 y -1/4)) z z)
(fma.f64 z (*.f64 y (*.f64 y -1/4)) z)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/4 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 z (pow.f64 y 4)) -1/96))
(fma.f64 (*.f64 y (*.f64 y z)) -1/4 (*.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z))
(*.f64 z (fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1)))
(+.f64 (*.f64 -19/5760 (*.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1/96 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -19/5760 (*.f64 z (pow.f64 y 6)) (+.f64 (fma.f64 -1/4 (*.f64 z (*.f64 y y)) z) (*.f64 (*.f64 z (pow.f64 y 4)) -1/96)))
(fma.f64 (*.f64 z (pow.f64 y 6)) -19/5760 (fma.f64 (*.f64 y (*.f64 y z)) -1/4 (*.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z)))
(+.f64 z (*.f64 z (fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760)))))
(*.f64 z (fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/4 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (*.f64 y y) 1) (*.f64 (pow.f64 y 4) -1/96))
(fma.f64 (*.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) -1/96 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1))
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (*.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 (pow.f64 y 6) -19/5760)))
(+.f64 (fma.f64 (*.f64 y y) -1/4 1) (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760)))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 2))
(*.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 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) (*.f64 z z)))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 1))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(sqrt.f64 (cos.f64 y))
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(pow.f64 (cos.f64 y) 1/2)
(sqrt.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(sqrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(sqrt.f64 (cos.f64 y))
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(sqrt.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(sqrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(sqrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(sqrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))

eval173.0ms (2.4%)

Compiler

Compiled 13376 to 5343 computations (60.1% saved)

prune194.0ms (2.7%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New5939602
Fresh5611
Picked101
Done167
Total60021621
Error
0.0b
Counts
621 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.9b
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
24.7b
(+.f64 (+.f64 y x) z)
16.3b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))))
✓11.5b
(+.f64 (+.f64 x (sin.f64 y)) z)
✓28.2b
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶46.2b
(+.f64 z y)
34.9b
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
✓10.1b
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
10.2b
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
10.0b
(+.f64 x (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
10.1b
(+.f64 x (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
35.6b
(+.f64 x (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶9.8b
(+.f64 x (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
▶22.4b
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓9.6b
(+.f64 x (*.f64 z (cos.f64 y)))
✓20.9b
(+.f64 x z)
37.0b
(*.f64 (cos.f64 y) z)
✓53.8b
(sin.f64 y)
▶53.8b
(expm1.f64 (log1p.f64 (sin.f64 y)))
48.2b
z
59.9b
y
Compiler

Compiled 435 to 280 computations (35.6% saved)

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
0.2b
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
0.2b
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
0.3b
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 48 to 20 computations (58.3% saved)

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.1b
(expm1.f64 (log1p.f64 (sin.f64 y)))
0.3b
(log1p.f64 (sin.f64 y))
Compiler

Compiled 13 to 6 computations (53.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 8 computations (77.8% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (*.f64 z (cos.f64 y)) 2)
✓0.2b
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
✓0.3b
(pow.f64 (sin.f64 y) 2)
✓19.6b
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
Compiler

Compiled 83 to 32 computations (61.4% saved)

series32.0ms (0.4%)

Counts
4 → 76
Calls

21 calls:

TimeVariablePointExpression
24.0ms
z
@0
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
2.0ms
y
@-inf
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
1.0ms
y
@inf
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
1.0ms
y
@0
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
1.0ms
y
@inf
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))

rewrite135.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1782×associate-/r/
1002×associate-/l/
370×add-sqr-sqrt
360×*-un-lft-identity
356×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016152
135876
2503876
Stop Event
1×node limit
Counts
4 → 241
Calls
Call 1
Inputs
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (sin.f64 y) 2)
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
Outputs
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simplify193.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1548×associate-*l*
1236×associate-/l*
1108×*-commutative
994×distribute-lft-in
792×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077224397
1253824027
Stop Event
1×node limit
Counts
317 → 446
Calls
Call 1
Inputs
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 3))) (*.f64 1/2 (/.f64 1 z))))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 3))) (*.f64 1/2 (/.f64 1 z))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 z 2))) (/.f64 1 (pow.f64 z 4))))) (/.f64 1 z))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 1 (sin.f64 y))
(+.f64 (/.f64 1 (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (sin.f64 y) 3)) (+.f64 (/.f64 1 (sin.f64 y)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) 2)))))
(+.f64 (/.f64 1 (sin.f64 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (pow.f64 (sin.f64 y) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (pow.f64 (sin.f64 y) 3)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (+.f64 (/.f64 1 (*.f64 (cos.f64 y) z)) (*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
z
(+.f64 y z)
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(*.f64 (/.f64 1 (*.f64 (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)) (*.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) 1) (sqrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (sqrt.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (sqrt.f64 (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 2) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) 1) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (/.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) -1) (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) 2))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (*.f64 z (cos.f64 y)) 4))) (-.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (*.f64 z (cos.f64 y)) 4))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (*.f64 z (cos.f64 y)) 4))) (+.f64 (pow.f64 (sin.f64 y) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6))) (+.f64 (pow.f64 (sin.f64 y) 4) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (sin.f64 y) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6))) (-.f64 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (sin.f64 y) 4)) (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))) (-.f64 (-.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (*.f64 z (cos.f64 y)) 4)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (sin.f64 y) 6) (pow.f64 (*.f64 z (cos.f64 y)) 6))) (+.f64 (pow.f64 (pow.f64 (sin.f64 y) 4) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 (sin.f64 y) 4)) (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) (*.f64 (pow.f64 (sin.f64 y) 4) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (sqrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (sqrt.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) (cbrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 2))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (cos.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) 2)) 1) (cbrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) 2)) (cbrt.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) 2)) (cbrt.f64 (neg.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) (cbrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(pow.f64 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)
(pow.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) 2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(log.f64 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 3) (pow.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(exp.f64 (log.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(exp.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (log.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))) 1)
(*.f64 z (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) (*.f64 z (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (cos.f64 y))
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) z)
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
Outputs
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (/.f64 1 z))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 3))) (*.f64 1/2 (/.f64 1 z))))) (/.f64 1 z)))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (*.f64 z z))) (pow.f64 z 3)) (/.f64 1/2 z))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (pow.f64 z 2))) (pow.f64 z 3))) (*.f64 1/2 (/.f64 1 z))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 z 2))) (/.f64 1 (pow.f64 z 4))))) (/.f64 1 z))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (*.f64 z z))) (pow.f64 z 3)) (/.f64 1/2 z))) (fma.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 5/6 (*.f64 z z)) (/.f64 1 (pow.f64 z 4)))) (/.f64 1 z))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(/.f64 (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))
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(exp.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (log.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))) -1))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) -1)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))) 1))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(fma.f64 1 (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 z (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (cos.f64 y) (*.f64 z (*.f64 z (cos.f64 y))))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 z (*.f64 (cos.f64 y) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 z (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (*.f64 z (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 2))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z z))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 z (*.f64 (cos.f64 y) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 z (*.f64 (cos.f64 y) (*.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))))
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (cos.f64 y))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) z)
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(*.f64 (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (*.f64 (*.f64 z (cos.f64 y)) (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 z (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z (cos.f64 y)))) 1))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 z (cos.f64 y)) 2)

eval400.0ms (5.5%)

Compiler

Compiled 23602 to 10789 computations (54.3% saved)

prune590.0ms (8.2%)

Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New8487855
Fresh2810
Picked101
Done1910
Total85224876
Error
0.0b
Counts
876 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
29.0b
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
37.1b
(/.f64 1 (/.f64 1 (*.f64 z (cos.f64 y))))
48.3b
(/.f64 1 (/.f64 1 z))
48.5b
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3))))
24.7b
(+.f64 (+.f64 y x) z)
✓11.5b
(+.f64 (+.f64 x (sin.f64 y)) z)
✓28.2b
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓46.2b
(+.f64 z y)
34.9b
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
✓10.1b
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
10.0b
(+.f64 x (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
10.1b
(+.f64 x (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
35.6b
(+.f64 x (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓22.4b
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
22.4b
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))))
9.7b
(+.f64 x (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y))))
✓9.6b
(+.f64 x (*.f64 z (cos.f64 y)))
✓20.9b
(+.f64 x z)
37.0b
(*.f64 (cos.f64 y) z)
✓53.8b
(sin.f64 y)
✓53.8b
(expm1.f64 (log1p.f64 (sin.f64 y)))
60.2b
(expm1.f64 y)
48.2b
z
59.9b
y
Compiler

Compiled 250 to 179 computations (28.4% saved)

regimes112.0ms (1.6%)

Counts
39 → 1
Calls
Call 1
Inputs
y
z
(+.f64 x z)
(+.f64 z y)
(+.f64 (+.f64 y x) z)
(/.f64 1 (/.f64 1 z))
(expm1.f64 y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) z)
(/.f64 1 (/.f64 1 (*.f64 z (cos.f64 y))))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) z)
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(+.f64 x (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(+.f64 (+.f64 x (expm1.f64 (log1p.f64 (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(+.f64 x (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) 3))))
(/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) 3))
(+.f64 x (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y))))
(+.f64 x (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))))
(+.f64 x (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y))))
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))))
(+.f64 (+.f64 x (sin.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))))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

46.0ms
x
19.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms
z
19.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 437 to 152 computations (65.2% saved)

regimes82.0ms (1.1%)

Counts
13 → 3
Calls
Call 1
Inputs
y
z
(+.f64 x z)
(+.f64 z y)
(+.f64 (+.f64 y x) z)
(/.f64 1 (/.f64 1 z))
(expm1.f64 y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) z)
(/.f64 1 (/.f64 1 (*.f64 z (cos.f64 y))))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (*.f64 z (cos.f64 y)))
Calls

3 calls:

37.0ms
y
22.0ms
x
21.0ms
z
Results
ErrorSegmentsBranch
2.2b3x
5.2b5y
0.1b3z
Compiler

Compiled 68 to 33 computations (51.5% saved)

bsearch86.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
4.849172746682658e-23
1.514064581147685e-14
55.0ms
-219317959.27954176
-1.4364426898444793e-7
Results
36.0ms237×body256valid
24.0ms18×body512valid
22.0ms49×body1024valid
Compiler

Compiled 398 to 279 computations (29.9% saved)

regimes64.0ms (0.9%)

Counts
10 → 3
Calls
Call 1
Inputs
y
z
(+.f64 x z)
(+.f64 z y)
(+.f64 (+.f64 y x) z)
(/.f64 1 (/.f64 1 z))
(expm1.f64 y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 x (*.f64 z (cos.f64 y)))
Outputs
(+.f64 x (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 y x) z)
(+.f64 x (*.f64 z (cos.f64 y)))
Calls

3 calls:

18.0ms
y
17.0ms
x
6.0ms
z
Results
ErrorSegmentsBranch
8.5b3x
6.8b3y
9.6b1z
Compiler

Compiled 47 to 26 computations (44.7% saved)

bsearch90.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
3.980596596502586e-5
7.9979595071909655
33.0ms
-184215.11916511547
-3.334175376300404e-20
Results
86.0ms320×body256valid
Compiler

Compiled 398 to 273 computations (31.4% saved)

regimes124.0ms (1.7%)

Counts
9 → 8
Calls
Call 1
Inputs
y
z
(+.f64 x z)
(+.f64 z y)
(+.f64 (+.f64 y x) z)
(/.f64 1 (/.f64 1 z))
(expm1.f64 y)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
Outputs
(+.f64 x z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (+.f64 y x) z)
(*.f64 (cos.f64 y) z)
(+.f64 x z)
Calls

3 calls:

62.0ms
x
42.0ms
y
18.0ms
z
Results
ErrorSegmentsBranch
14.2b8x
15.0b8y
15.0b3z
Compiler

Compiled 41 to 24 computations (41.5% saved)

bsearch236.0ms (3.3%)

Algorithm
7×binary-search
Steps
TimeLeftRight
36.0ms
3.296820269389348e-96
8.438330859606745e-89
46.0ms
7.084612406195274e-244
1.3827468681377104e-228
49.0ms
-2.4649946367263758e-234
-4.012211785991005e-245
29.0ms
-7.59355626041423e-140
-1.0209656420132861e-141
25.0ms
-5.19461822904904e-134
-4.800268361269485e-135
17.0ms
-5.193917186671798e-37
-2.7520180954115854e-37
34.0ms
-1.5880667034408955e-13
-5.527181827161269e-17
Results
111.0ms223×body1024valid
86.0ms548×body256valid
27.0ms93×body512valid
Compiler

Compiled 835 to 619 computations (25.9% saved)

regimes49.0ms (0.7%)

Counts
8 → 5
Calls
Call 1
Inputs
y
z
(+.f64 x z)
(+.f64 z y)
(+.f64 (+.f64 y x) z)
(/.f64 1 (/.f64 1 z))
(expm1.f64 y)
(sin.f64 y)
Outputs
(+.f64 x z)
(sin.f64 y)
(+.f64 x z)
(+.f64 (+.f64 y x) z)
(+.f64 x z)
Calls

3 calls:

26.0ms
y
15.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
18.4b3x
16.6b5y
20.9b1z
Compiler

Compiled 37 to 22 computations (40.5% saved)

bsearch142.0ms (2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
25.0ms
3.980596596502586e-5
7.9979595071909655
27.0ms
-1.381547880652333e+72
-4.5685033056347886e+64
53.0ms
-2.8186949383404655e+191
-1.1675361043143032e+187
36.0ms
-1.2598884892777296e+207
-2.1124900628552293e+206
Results
67.0ms365×body256valid
66.0ms147×body1024valid
Compiler

Compiled 488 to 351 computations (28.1% saved)

regimes35.0ms (0.5%)

Counts
7 → 3
Calls
Call 1
Inputs
y
z
(+.f64 x z)
(+.f64 z y)
(+.f64 (+.f64 y x) z)
(/.f64 1 (/.f64 1 z))
(expm1.f64 y)
Outputs
(+.f64 x z)
(+.f64 (+.f64 y x) z)
(+.f64 x z)
Calls

3 calls:

14.0ms
y
14.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
18.4b3x
18.1b3y
20.9b1z
Compiler

Compiled 35 to 21 computations (40% saved)

bsearch52.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
3.980596596502586e-5
7.9979595071909655
28.0ms
-1.381547880652333e+72
-4.5685033056347886e+64
Results
49.0ms288×body256valid
Compiler

Compiled 306 to 211 computations (31% saved)

regimes20.0ms (0.3%)

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

3 calls:

11.0ms
x
4.0ms
z
4.0ms
y
Results
ErrorSegmentsBranch
18.8b3x
20.9b1y
20.9b1z
Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch63.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
2.5506069497672865e-153
5.302530992227708e-151
33.0ms
-3.550213921926078e-120
-2.0339003810778533e-121
Results
34.0ms74×body1024valid
21.0ms132×body256valid
5.0ms18×body512valid
Compiler

Compiled 214 to 153 computations (28.5% saved)

regimes12.0ms (0.2%)

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

3 calls:

4.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
20.9b1x
20.9b1y
20.9b1z
Compiler

Compiled 20 to 13 computations (35% saved)

regimes22.0ms (0.3%)

Accuracy

Total -16.3b remaining (-35.1%)

Threshold costs -16.3b (-35.1%)

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

3 calls:

9.0ms
y
8.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
48.2b1x
48.2b1y
46.3b3z
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch49.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
1.5175762163771354e-155
2.5289341006776886e-154
24.0ms
-5.731811326990336e-139
-4.2775742549608734e-141
Results
30.0ms184×body256valid
15.0ms34×body1024valid
2.0ms6×body512valid
Compiler

Compiled 158 to 125 computations (20.9% saved)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
12×if-if-or-not
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081462
1111462
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -4165829655317709/2251799813685248) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 1188422437713965/79228162514264337593543950336) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (*.f64 z (cos.f64 y)))))
(if (<=.f64 y -4574792530279969/295147905179352825856) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 y 6456360425798343/9223372036854775808) (+.f64 (+.f64 y x) z) (+.f64 x (*.f64 z (cos.f64 y)))))
(if (<=.f64 x -2271629875608987/40564819207303340847894502572032) (+.f64 x z) (if (<=.f64 x -4190417494555165/11972621413014756705924586149611790497021399392059392) (sin.f64 y) (if (<=.f64 x -2004951747336387/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (*.f64 (cos.f64 y) z) (if (<=.f64 x -4022342378982779/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (sin.f64 y) (if (<=.f64 x -6273160941879947/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 (cos.f64 y) z) (if (<=.f64 x 5498669552347193/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (+.f64 (+.f64 y x) z) (if (<=.f64 x 3302638007025703/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (*.f64 (cos.f64 y) z) (+.f64 x z))))))))
(if (<=.f64 y -275000000000000010695733826549306818609527435561805536669331550521151059295808466098469905421663678815147765857838336551221219181375953294548550509858489585974695112222196594747557753471053852103136161824768) (+.f64 x z) (if (<=.f64 y -244999999999999997990564923494737973612232213479603431391416499510369299135512394892297661930160054192333251533838956000638987371217969489292311217070866586505516892545737528531136897492189184) (sin.f64 y) (if (<=.f64 y -47999999999999999854178802589088715307512511647835901720421990400) (+.f64 x z) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 (+.f64 y x) z) (+.f64 x z)))))
(if (<=.f64 y -3300000000000000137586458048421043915963653280133303228528198680576) (+.f64 x z) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 (+.f64 y x) z) (+.f64 x z)))
(if (<=.f64 x -7675416928561609/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (+.f64 x z) (if (<=.f64 x 8019670152745775/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 z y) (+.f64 x z)))
(+.f64 x z)
(if (<=.f64 z -6435747806372447/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) z (if (<=.f64 z 634025687370019/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) y z))
y
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -4165829655317709/2251799813685248) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 z 1188422437713965/79228162514264337593543950336) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (*.f64 z (cos.f64 y)))))
(if (or (<=.f64 z -4165829655317709/2251799813685248) (not (<=.f64 z 1188422437713965/79228162514264337593543950336))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 (+.f64 x (sin.f64 y)) z))
(if (<=.f64 y -4574792530279969/295147905179352825856) (+.f64 x (*.f64 z (cos.f64 y))) (if (<=.f64 y 6456360425798343/9223372036854775808) (+.f64 (+.f64 y x) z) (+.f64 x (*.f64 z (cos.f64 y)))))
(if (or (<=.f64 y -4574792530279969/295147905179352825856) (not (<=.f64 y 6456360425798343/9223372036854775808))) (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 z (+.f64 x y)))
(if (<=.f64 x -2271629875608987/40564819207303340847894502572032) (+.f64 x z) (if (<=.f64 x -4190417494555165/11972621413014756705924586149611790497021399392059392) (sin.f64 y) (if (<=.f64 x -2004951747336387/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (*.f64 (cos.f64 y) z) (if (<=.f64 x -4022342378982779/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (sin.f64 y) (if (<=.f64 x -6273160941879947/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 (cos.f64 y) z) (if (<=.f64 x 5498669552347193/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (+.f64 (+.f64 y x) z) (if (<=.f64 x 3302638007025703/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (*.f64 (cos.f64 y) z) (+.f64 x z))))))))
(if (<=.f64 x -2271629875608987/40564819207303340847894502572032) (+.f64 x z) (if (<=.f64 x -4190417494555165/11972621413014756705924586149611790497021399392059392) (sin.f64 y) (if (<=.f64 x -2004951747336387/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (*.f64 z (cos.f64 y)) (if (<=.f64 x -4022342378982779/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (sin.f64 y) (if (<=.f64 x -6273160941879947/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 z (cos.f64 y)) (if (<=.f64 x 5498669552347193/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (+.f64 z (+.f64 x y)) (if (<=.f64 x 3302638007025703/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (*.f64 z (cos.f64 y)) (+.f64 x z))))))))
(if (<=.f64 y -275000000000000010695733826549306818609527435561805536669331550521151059295808466098469905421663678815147765857838336551221219181375953294548550509858489585974695112222196594747557753471053852103136161824768) (+.f64 x z) (if (<=.f64 y -244999999999999997990564923494737973612232213479603431391416499510369299135512394892297661930160054192333251533838956000638987371217969489292311217070866586505516892545737528531136897492189184) (sin.f64 y) (if (<=.f64 y -47999999999999999854178802589088715307512511647835901720421990400) (+.f64 x z) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 (+.f64 y x) z) (+.f64 x z)))))
(if (<=.f64 y -275000000000000010695733826549306818609527435561805536669331550521151059295808466098469905421663678815147765857838336551221219181375953294548550509858489585974695112222196594747557753471053852103136161824768) (+.f64 x z) (if (<=.f64 y -244999999999999997990564923494737973612232213479603431391416499510369299135512394892297661930160054192333251533838956000638987371217969489292311217070866586505516892545737528531136897492189184) (sin.f64 y) (if (<=.f64 y -47999999999999999854178802589088715307512511647835901720421990400) (+.f64 x z) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 z (+.f64 x y)) (+.f64 x z)))))
(if (<=.f64 y -3300000000000000137586458048421043915963653280133303228528198680576) (+.f64 x z) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 (+.f64 y x) z) (+.f64 x z)))
(if (<=.f64 y -3300000000000000137586458048421043915963653280133303228528198680576) (+.f64 x z) (if (<=.f64 y 6980579422424269/2251799813685248) (+.f64 z (+.f64 x y)) (+.f64 x z)))
(if (<=.f64 x -7675416928561609/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (+.f64 x z) (if (<=.f64 x 8019670152745775/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 z y) (+.f64 x z)))
(if (<=.f64 x -7675416928561609/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (+.f64 x z) (if (<=.f64 x 8019670152745775/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 y z) (+.f64 x z)))
(+.f64 x z)
(if (<=.f64 z -6435747806372447/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) z (if (<=.f64 z 634025687370019/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) y z))
y
Compiler

Compiled 218 to 127 computations (41.7% saved)

soundness0.0ms (0%)

end76.0ms (1%)

Compiler

Compiled 191 to 79 computations (58.6% saved)

Profiling

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