Details

Time bar (total: 9.3s)

analyze332.0ms (3.6%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (26.5%)

Results
1.4s6329×body256valid
753.0ms1270×body1024valid
282.0ms650×body512valid
7.0ms7×body2048valid
Bogosity

preprocess99.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
1504×fma-def
632×associate-+l+
628×associate-+l-
566×associate--r+
440×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
159108
2142108
3248108
4440108
5787108
61691108
72595108
83620108
94098108
104130108
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(+.f64 y (fma.f64 (sin.f64 x) (neg.f64 z) (cos.f64 x)))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (cos.f64 y) (-.f64 (*.f64 x (sin.f64 y)) z))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) z))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify39.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
392×fma-def
246×associate-+l-
218×associate--r+
182×associate--l+
156×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12027
24327
37227
412327
520427
639827
766227
886027
9119627
10130027
11131027
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))

eval1.0ms (0%)

Compiler

Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 24 to 16 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(sin.f64 y)
✓0.01%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓0.2%
(*.f64 z (sin.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts
3 → 44
Calls

18 calls:

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

rewrite109.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1090×associate-*r/
1080×distribute-lft-in
1030×associate-*l/
446×associate-+l+
270×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
124043
2337043
Stop Event
1×node limit
Counts
3 → 213
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(sin.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 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/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))

simplify154.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1214×+-commutative
824×fma-def
712×associate-*r*
646×associate-*l*
602×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053813483
1154812355
2702412355
Stop Event
1×node limit
Counts
257 → 300
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 x (+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 x (*.f64 1 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (*.f64 1 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))
(+.f64 (cos.f64 y) (*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(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)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(+.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(-.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 y y) x)) (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 x (+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 x (-.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 x (-.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 x (-.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 x (-.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 x (-.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (*.f64 1 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 x (-.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(fabs.f64 (-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.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)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(fabs.f64 (sin.f64 y))
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 y)
✓0.08%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Compiler

Compiled 25 to 8 computations (68% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1046×*-commutative
820×unswap-sqr
584×swap-sqr
522×distribute-lft-in
504×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
124723
2318623
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))))

simplify71.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
984×distribute-lft-in
942×distribute-rgt-in
854×*-commutative
690×fma-def
636×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01362647
13562487
212782481
351272477
Stop Event
1×node limit
Counts
77 → 82
Calls
Call 1
Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))
(+.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)
(+.f64 (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 1) (cos.f64 y))
(+.f64 (*.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(-.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(-.f64 (+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 (cos.f64 y)))) 1)
(-.f64 (+.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) (fma.f64 y (*.f64 y -1/2) x)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (fma.f64 y (*.f64 y -1/2) x)) (*.f64 y z)))
(+.f64 1 (+.f64 (fma.f64 y (*.f64 y -1/2) x) (*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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x
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(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))
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(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
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(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
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(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 2))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))

eval163.0ms (1.8%)

Compiler

Compiled 9938 to 2664 computations (73.2% saved)

prune94.0ms (1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New39713410
Fresh000
Picked011
Done011
Total39715412
Error
0.01%
Counts
412 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.08%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
42.56%
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
1.59%
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
✓0.09%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.14%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
▶9.55%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
▶0.13%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
39.03%
(-.f64 (+.f64 x 1) (*.f64 y z))
37.94%
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.24%
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
▶47.27%
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
32.57%
(+.f64 (cos.f64 y) x)
▶41.51%
(+.f64 x 1)
▶66.6%
(*.f64 (sin.f64 y) (neg.f64 z))
60.96%
x
Compiler

Compiled 330 to 229 computations (30.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
✓0.2%
(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
✓0.27%
(expm1.f64 (log1p.f64 (sin.f64 y)))
✓0.45%
(log1p.f64 (sin.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series90.0ms (1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
56.0ms
y
@inf
(log1p.f64 (sin.f64 y))
32.0ms
y
@-inf
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(log1p.f64 (sin.f64 y))
0.0ms
y
@0
(expm1.f64 (log1p.f64 (sin.f64 y)))
0.0ms
y
@0
(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))

rewrite150.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1176×associate-*r/
1138×distribute-lft-in
1070×associate-*l/
460×associate-+l+
288×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01352
127852
2359952
Stop Event
1×node limit
Counts
4 → 246
Calls
Call 1
Inputs
(log1p.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (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 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1)) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) 1) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1)) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) 1) z) (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) 1) 3) 1) z) (+.f64 (*.f64 (+.f64 (sin.f64 y) 1) (+.f64 (sin.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (sin.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 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simplify169.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
858×associate-*r*
796×associate-+r+
788×associate-+l+
758×associate-*l*
650×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061714694
1172213740
Stop Event
1×node limit
Counts
330 → 346
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
(log.f64 (+.f64 1 (sin.f64 y)))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 y)))) 1)
(*.f64 (log1p.f64 (sin.f64 y)) 1)
(*.f64 1 (log1p.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) (sqrt.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 2) (cbrt.f64 (log1p.f64 (sin.f64 y))))
(pow.f64 (log1p.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 2))
(log.f64 (+.f64 (sin.f64 y) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 y))) 1))
(+.f64 (sin.f64 y) 0)
(+.f64 1 (+.f64 (sin.f64 y) -1))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (+.f64 (sin.f64 y) 1) -1)
(+.f64 -1 (+.f64 (sin.f64 y) 1))
(-.f64 (+.f64 (sin.f64 y) 1) 1)
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) 1) (neg.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 3)) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(exp.f64 (log.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
Outputs
y
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) y)
(fma.f64 -1/2 (*.f64 y y) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) y) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/12 (pow.f64 y 4))))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
(log.f64 (+.f64 1 (sin.f64 y)))
(log1p.f64 (sin.f64 y))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.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))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) (*.f64 -1/5040 (pow.f64 y 7)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(+.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 (pow.f64 y 3) z) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 (pow.f64 y 3) z) x)) (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
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(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))

localize40.0ms (0.4%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize35.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 37 to 23 computations (37.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0ms
y
@0
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0ms
y
@-inf
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0ms
z
@0
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0ms
z
@inf
(*.f64 y (-.f64 (*.f64 y -1/2) z))

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1848×add-sqr-sqrt
1826×*-un-lft-identity
1708×add-cube-cbrt
1688×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117319
2224019
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 y (-.f64 (*.f64 y -1/2) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) (fma.f64 y -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (fma.f64 y -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))))

simplify73.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1310×fma-def
936×associate-*r*
838×associate-*l*
630×log-prod
500×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074919
1176919
2492919
33104919
47035919
Stop Event
1×node limit
Counts
43 → 35
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))
(+.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))) 1)
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) (fma.f64 y -1/2 z))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (fma.f64 y -1/2 z))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 y -1/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))) 1)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) (fma.f64 y -1/2 z))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) (/.f64 (fma.f64 y -1/2 z) y))
(*.f64 (/.f64 y (fma.f64 y -1/2 z)) (-.f64 (*.f64 y (*.f64 y 1/4)) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 y (*.f64 y 1/4)) (*.f64 z z)) (/.f64 y (fma.f64 y -1/2 z)))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) (/.f64 (fma.f64 (*.f64 y y) 1/4 (*.f64 z (fma.f64 y -1/2 z))) y))
(*.f64 (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))) (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (neg.f64 (pow.f64 z 3))) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (fma.f64 y -1/2 z))
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) (/.f64 (fma.f64 y -1/2 z) y))
(*.f64 (/.f64 y (fma.f64 y -1/2 z)) (-.f64 (*.f64 y (*.f64 y 1/4)) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 y (*.f64 y 1/4)) (*.f64 z z)) (/.f64 y (fma.f64 y -1/2 z)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) (/.f64 (fma.f64 (*.f64 y y) 1/4 (*.f64 z (fma.f64 y -1/2 z))) y))
(*.f64 (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))) (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (neg.f64 (pow.f64 z 3))) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 3)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) 1/3)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 y -1/2) z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 1))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 y)
✓0.2%
(*.f64 (sin.f64 y) (neg.f64 z))
Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1350×add-sqr-sqrt
1338×*-un-lft-identity
1236×add-cube-cbrt
1218×add-cbrt-cube
1202×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116011
2198911
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify60.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1578×fma-def
856×*-commutative
694×associate--r+
688×associate-*r*
656×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058753
1153675
2514583
32320579
46481579
Stop Event
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (fma.f64 1/5040 (pow.f64 y 7) (neg.f64 y))))
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
✓0.13%
(exp.f64 (sin.f64 y))
✓0.2%
(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
✓4%
(log.f64 (exp.f64 (sin.f64 y)))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series2.0ms (0%)

Counts
4 → 76
Calls

21 calls:

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

rewrite116.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1180×distribute-lft-in
1090×associate-*r/
1030×associate-*l/
452×associate-+l+
280×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01352
127052
2356252
Stop Event
1×node limit
Counts
4 → 245
Calls
Call 1
Inputs
(log.f64 (exp.f64 (sin.f64 y)))
(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
(exp.f64 (sin.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.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 (+.f64 0 (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 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))))) (#(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 cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
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(*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))

simplify124.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1036×fma-def
814×associate-+l+
792×associate-*r*
738×associate-+r+
724×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060814141
1168512937
Stop Event
1×node limit
Counts
321 → 341
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 1/2 (pow.f64 y 2)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (sin.f64 y) 0)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 0 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(-.f64 (+.f64 0 (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 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(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))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))))
(+.f64 (*.f64 z 0) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 z (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (*.f64 z (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 y)))) 1)
(*.f64 (exp.f64 (sin.f64 y)) 1)
(*.f64 1 (exp.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2) (cbrt.f64 (exp.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (sin.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1))
(+.f64 x (+.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z))))
(+.f64 x (*.f64 1 (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 (sin.f64 y) z)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 (*.f64 -1/6 (pow.f64 y 3)) z (*.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(+.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 (+.f64 y 1) (*.f64 1/2 (*.f64 y y)))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) y))
(+.f64 1 (+.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 y 1) (fma.f64 -1/8 (pow.f64 y 4) (*.f64 1/2 (*.f64 y y))))
(+.f64 y (+.f64 (fma.f64 1/2 (*.f64 y y) (*.f64 -1/8 (pow.f64 y 4))) 1))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 (fma.f64 (*.f64 y y) -1/2 x) (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 (pow.f64 y 3) z) x))))
(+.f64 (fma.f64 (*.f64 y y) -1/2 (fma.f64 (*.f64 (pow.f64 y 3) z) 1/6 x)) (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)))
(sin.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))))
(sin.f64 y)
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y))))))
(sin.f64 y)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(-.f64 (+.f64 0 (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 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(fabs.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(+.f64 (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))) (*.f64 z (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y))))))
(*.f64 (sin.f64 y) z)
(+.f64 (*.f64 z 0) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(+.f64 (*.f64 z (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) 2))) (*.f64 z (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y))))))
(*.f64 (sin.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(fabs.f64 (*.f64 (sin.f64 y) z))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 (sin.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 y)))) 1)
(exp.f64 (sin.f64 y))
(*.f64 (exp.f64 (sin.f64 y)) 1)
(exp.f64 (sin.f64 y))
(*.f64 1 (exp.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))))
(exp.f64 (sin.f64 y))
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(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 (sin.f64 y) z) 6)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 z (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) (+.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 (sin.f64 y) z) 6)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 z (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))) (pow.f64 (+.f64 (cos.f64 y) x) 2)) (fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 (sin.f64 y) z) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (fma.f64 (sin.f64 y) (*.f64 z (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (fma.f64 (sin.f64 y) (*.f64 z (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (fma.f64 (sin.f64 y) (*.f64 z (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 1)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3) 1/3)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) 2))
(fabs.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))

eval193.0ms (2.1%)

Compiler

Compiled 19249 to 5546 computations (71.2% saved)

prune134.0ms (1.5%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New77412786
Fresh538
Picked101
Done246
Total78219801
Error
0%
Counts
801 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.08%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
42.56%
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2)
▶0.2%
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 (+.f64 2 (sin.f64 y)) (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)))))
▶9.58%
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1)))
9.7%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2)))
9.71%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))))
✓0.09%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
39.03%
(-.f64 (+.f64 x 1) (*.f64 y z))
37.94%
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
0.24%
(+.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
55.39%
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
▶32.57%
(+.f64 (cos.f64 y) x)
✓41.51%
(+.f64 x 1)
▶67.08%
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))
✓66.6%
(*.f64 (sin.f64 y) (neg.f64 z))
66.65%
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (neg.f64 z))
66.64%
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
▶88.49%
(*.f64 y (neg.f64 z))
60.96%
x
Compiler

Compiled 424 to 302 computations (28.8% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.28%
(/.f64 (+.f64 2 (sin.f64 y)) (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)))
✓0.34%
(/.f64 z (/.f64 (+.f64 2 (sin.f64 y)) (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y))))
✓0.38%
(*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y))
✓0.62%
(+.f64 1 (sin.f64 y))
Compiler

Compiled 90 to 48 computations (46.7% saved)

series3.0ms (0%)

Counts
4 → 52
Calls

15 calls:

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

rewrite102.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1608×distribute-rgt-in
1560×distribute-lft-in
360×associate-+l+
334×associate-+r+
306×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014112
131754
2441654
Stop Event
1×node limit
Counts
4 → 220
Calls
Call 1
Inputs
(+.f64 1 (sin.f64 y))
(*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y))
(/.f64 z (/.f64 (+.f64 2 (sin.f64 y)) (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y))))
(/.f64 (+.f64 2 (sin.f64 y)) (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3 (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 0 (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 0 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 2 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) (sqrt.f64 (+.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2) (cbrt.f64 (+.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (/.f64 1 (-.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sin.f64 y)) (*.f64 (cos.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))) (+.f64 1 (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (-.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (sin.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 y) 2) 1) (-.f64 (sin.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 y) (cos.f64 y))) (neg.f64 (-.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) 1)))))
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simplify106.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
846×+-commutative
710×associate-+l-
642×associate-*r*
628×associate-*l*
626×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05364974
114244824
259414824
Stop Event
1×node limit
Counts
272 → 302
Calls
Call 1
Inputs
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (pow.f64 y 2))
(+.f64 (*.f64 2 y) (+.f64 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 3))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) 0)
(-.f64 (+.f64 (sin.f64 y) 2) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 3 (sin.f64 y)))) 2)
(-.f64 (/.f64 1 (-.f64 0 (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 0 (sin.f64 y))) 1))
(-.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))))
(-.f64 (/.f64 4 (-.f64 2 (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 2 (sin.f64 y))) 1))
(*.f64 1 (+.f64 1 (sin.f64 y)))
(*.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) (sqrt.f64 (+.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2) (cbrt.f64 (+.f64 1 (sin.f64 y))))
(*.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (/.f64 1 (-.f64 1 (sin.f64 y))))
(*.f64 (+.f64 1 (pow.f64 (sin.f64 y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)))))
(/.f64 1 (/.f64 (-.f64 1 (sin.f64 y)) (*.f64 (cos.f64 y) (cos.f64 y))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))) (+.f64 1 (pow.f64 (sin.f64 y) 3))))
(/.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (-.f64 1 (sin.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) 1) (-.f64 (sin.f64 y) 1))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) (cos.f64 y))) (neg.f64 (-.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (sin.f64 y) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y)))))
(pow.f64 (+.f64 1 (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3))
(expm1.f64 (log.f64 (+.f64 (sin.f64 y) 2)))
(exp.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sin.f64 y))))
(fma.f64 1 (sin.f64 y) 1)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)))
(+.f64 (sin.f64 y) (*.f64 1 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))
(+.f64 (sin.f64 y) (*.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) 1))
(+.f64 (sin.f64 y) (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) 1))
(+.f64 (+.f64 1 (sin.f64 y)) (-.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) 1))
(+.f64 (+.f64 1 (sin.f64 y)) (-.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) 1))
(+.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (fma.f64 (neg.f64 (+.f64 1 (sin.f64 y))) 1 (+.f64 1 (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 y)))) (sqrt.f64 (+.f64 1 (sin.f64 y))) (+.f64 1 (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2) (+.f64 1 (sin.f64 y))))
(+.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) 2))
(+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (neg.f64 (+.f64 1 (sin.f64 y))) (sin.f64 y)))
(+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (+.f64 -1 (*.f64 -1 (sin.f64 y))) (sin.f64 y)))
(+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 y)))) (sqrt.f64 (+.f64 1 (sin.f64 y)))) (sin.f64 y)))
(+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2)) (cbrt.f64 (+.f64 1 (sin.f64 y)))) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) 2) (pow.f64 (sin.f64 y) 2))
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (sin.f64 y))
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (+.f64 1 (sin.f64 y))) 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)))
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 y)))) (sqrt.f64 (+.f64 1 (sin.f64 y))) (+.f64 1 (sin.f64 y))) (sin.f64 y)))
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (sin.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2) (+.f64 1 (sin.f64 y))) (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1) (*.f64 (*.f64 (sin.f64 y) 2) 1))
(+.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (neg.f64 (+.f64 1 (sin.f64 y))))
(+.f64 (+.f64 (sin.f64 y) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (+.f64 -1 (*.f64 -1 (sin.f64 y))))
(+.f64 (+.f64 (sin.f64 y) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 y)))) (sqrt.f64 (+.f64 1 (sin.f64 y)))))
(+.f64 (+.f64 (sin.f64 y) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2)) (cbrt.f64 (+.f64 1 (sin.f64 y)))))
(+.f64 (*.f64 1 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))) (sin.f64 y))
(+.f64 (*.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) 1) (sin.f64 y))
(+.f64 (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) 1) (sin.f64 y))
(+.f64 (*.f64 (*.f64 (sin.f64 y) 2) 1) (*.f64 (pow.f64 (sin.f64 y) 2) 1))
(-.f64 (+.f64 1 (sin.f64 y)) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))))
(-.f64 (+.f64 1 (sin.f64 y)) (-.f64 1 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))
(-.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (-.f64 (sin.f64 y) (sin.f64 y)))
(-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))) (-.f64 1 (sin.f64 y)))
(-.f64 1/2 (-.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (*.f64 (sin.f64 y) 2)))
(-.f64 (+.f64 (sin.f64 y) (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (+.f64 1 (sin.f64 y)))
(-.f64 (+.f64 (sin.f64 y) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (sin.f64 y))
(-.f64 (+.f64 (*.f64 (sin.f64 y) 2) 1/2) (*.f64 1/2 (cos.f64 (+.f64 y y))))
(/.f64 (*.f64 (sin.f64 y) (-.f64 4 (pow.f64 (sin.f64 y) 2))) (-.f64 2 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (-.f64 -2 (sin.f64 y)))) (-.f64 0 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (+.f64 8 (pow.f64 (sin.f64 y) 3))) (+.f64 4 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 (sin.f64 y) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (sin.f64 y) 2)) (sin.f64 y)) (-.f64 2 (sin.f64 y)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (-.f64 -2 (sin.f64 y))) (sin.f64 y)) (-.f64 0 (sin.f64 y)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (sin.f64 y) 3)) (sin.f64 y)) (+.f64 4 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (sin.f64 y)) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))))
(pow.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (sin.f64 y) 2)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (sin.f64 y) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))))
(+.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)))
(+.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)))
(+.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) 2)))
(+.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (pow.f64 (sin.f64 y) 2)))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (sin.f64 y)) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (sin.f64 y)) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y))) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (sin.f64 y)))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (sin.f64 y)))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (*.f64 (sin.f64 y) 2)))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (*.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (pow.f64 (sin.f64 y) 2)))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) 1) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (+.f64 1 (sin.f64 y))))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (+.f64 1 (sin.f64 y))) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) 1))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (sin.f64 y)) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) 2))
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) 2) (*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 z (+.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (/.f64 z (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 z (+.f64 (sin.f64 y) 2))) (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (/.f64 z (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (/.f64 z (+.f64 (sin.f64 y) 2))) (*.f64 (sin.f64 y) (/.f64 z (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (/.f64 z (+.f64 (sin.f64 y) 2))) (*.f64 (sin.f64 y) (/.f64 z (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 z (+.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (sin.f64 y) 2) (/.f64 z (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (*.f64 (sin.f64 y) 2) (/.f64 z (+.f64 (sin.f64 y) 2))) (*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 z (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)) (*.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)))
(+.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)) (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)))
(+.f64 (*.f64 (*.f64 (+.f64 1 (sin.f64 y)) (sin.f64 y)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)) (*.f64 (sin.f64 y) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)))
(+.f64 (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)) (*.f64 (sin.f64 y) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)))
(+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)) (*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) 2) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1)))
(+.f64 (*.f64 1 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))) (*.f64 (+.f64 1 (sin.f64 y)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))))
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))) (*.f64 1 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))) (*.f64 2 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))))
(+.f64 (*.f64 2 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))) (*.f64 (sin.f64 y) (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 1 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(*.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) (/.f64 z (+.f64 (sin.f64 y) 2)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 -1 (sin.f64 y))))
(*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) 1) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))
(*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (+.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) 2)) (sin.f64 y))
(*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(*.f64 (*.f64 (/.f64 z (+.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 z 1) (sin.f64 y))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (/.f64 z (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 z (/.f64 1 (sqrt.f64 (sin.f64 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 2)) (/.f64 z (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(*.f64 (/.f64 z (-.f64 -2 (sin.f64 y))) (*.f64 (sin.f64 y) (-.f64 -2 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 z) (+.f64 (sin.f64 y) 2)) (/.f64 (sqrt.f64 z) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (+.f64 (sin.f64 y) 2)) (/.f64 (cbrt.f64 z) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 z) (/.f64 1 (sqrt.f64 (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 y) z)))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 y) z)) -1)
(neg.f64 (/.f64 z (/.f64 -1 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (*.f64 (+.f64 1 (sin.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (+.f64 1 (sin.f64 y))))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (+.f64 1 (sin.f64 y))) (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 1))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (sin.f64 y)) (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2) (*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (sin.f64 y)))
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(+.f64 (*.f64 (sin.f64 y) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (*.f64 (sin.f64 y) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 y)))
(*.f64 (+.f64 (sin.f64 y) 2) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 1 (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 2) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) 2))
(*.f64 (-.f64 -2 (sin.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (-.f64 -2 (sin.f64 y)))))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (/.f64 (+.f64 (sin.f64 y) 2) (sin.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (/.f64 (+.f64 (sin.f64 y) 2) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2)) (/.f64 (+.f64 (sin.f64 y) 2) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) 1) (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (sin.f64 y)) (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (sin.f64 y)) (/.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (+.f64 (sin.f64 y) 2)) (/.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(pow.f64 (sin.f64 y) -1)
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (-.f64 -2 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 3) (pow.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
Outputs
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 1 y))
(+.f64 y (fma.f64 -1/6 (pow.f64 y 3) 1))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 1 y) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) 1))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (*.f64 2 y) (pow.f64 y 2))
(fma.f64 2 y (*.f64 y y))
(*.f64 y (+.f64 2 y))
(*.f64 y (+.f64 y 2))
(+.f64 (*.f64 2 y) (+.f64 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 3))))
(+.f64 (fma.f64 2 y (*.f64 y y)) (*.f64 (pow.f64 y 3) -1/3))
(fma.f64 y 2 (fma.f64 (pow.f64 y 3) -1/3 (*.f64 y y)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 3)))))
(fma.f64 2 y (fma.f64 -1/3 (pow.f64 y 4) (+.f64 (*.f64 y y) (*.f64 (pow.f64 y 3) -1/3))))
(fma.f64 y 2 (fma.f64 -1/3 (pow.f64 y 4) (fma.f64 (pow.f64 y 3) -1/3 (*.f64 y y))))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 (+.f64 2 (sin.f64 y)) (sin.f64 y))
(*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 z (fma.f64 1/120 (pow.f64 y 5) y))) (*.f64 (pow.f64 y 7) (*.f64 z -1/5040)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(fma.f64 y 1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (/.f64 1 y) (fma.f64 y 1/6 (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 y 1/6 (*.f64 (pow.f64 y 3) 7/360)) (fma.f64 (pow.f64 y 5) 31/15120 (/.f64 1 y)))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(/.f64 1 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) 0)
(+.f64 1 (sin.f64 y))
(-.f64 (+.f64 (sin.f64 y) 2) 1)
(+.f64 1 (sin.f64 y))
(-.f64 (exp.f64 (log.f64 (+.f64 3 (sin.f64 y)))) 2)
(+.f64 1 (sin.f64 y))
(-.f64 (/.f64 1 (-.f64 0 (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (-.f64 0 (sin.f64 y))) 1))
(-.f64 (-.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (neg.f64 (sin.f64 y)))) 1)
(+.f64 (-.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (neg.f64 (sin.f64 y)))) -1)
(+.f64 -1 (-.f64 (/.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (neg.f64 (sin.f64 y)))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (sin.f64 y)) (/.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) 2)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (+.f64 (sin.f64 y) 2)) (/.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (sqrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)))))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2))) 2)) (cbrt.f64 (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y)))) 2)))
(pow.f64 (sin.f64 y) -1)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(pow.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) 2)
(/.f64 1 (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) 3)
(/.f64 1 (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3) 1/3)
(/.f64 1 (sin.f64 y))
(neg.f64 (/.f64 (+.f64 (sin.f64 y) 2) (*.f64 (sin.f64 y) (-.f64 -2 (sin.f64 y)))))
(*.f64 (-.f64 -2 (sin.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (-.f64 -2 (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 -2 (sin.f64 y)) (sin.f64 y)) (-.f64 -2 (sin.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 2))
(fabs.f64 (/.f64 1 (sin.f64 y)))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))
(/.f64 1 (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 y)) 3))
(/.f64 1 (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 3) (pow.f64 (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) (+.f64 2 (sin.f64 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(/.f64 1 (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))
(/.f64 1 (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))
(/.f64 1 (sin.f64 y))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1)))
✓0.23%
(*.f64 z (+.f64 (sin.f64 y) 1))
✓0.62%
(+.f64 (sin.f64 y) 1)
✓3.91%
(+.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1))
Compiler

Compiled 54 to 28 computations (48.1% saved)

series4.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite139.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1062×associate-/r*
988×associate-+l+
456×associate-+r+
450×+-commutative
380×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01690
135974
2537362
Stop Event
1×node limit
Counts
4 → 443
Calls
Call 1
Inputs
(+.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1))
(+.f64 (sin.f64 y) 1)
(*.f64 z (+.f64 (sin.f64 y) 1))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1)))
Outputs
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1 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (sin.f64 y)) (fma.f64 z -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (fma.f64 z (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (neg.f64 (fma.f64 z (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (fma.f64 1 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (fma.f64 z 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (fma.f64 z -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) z))) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) z))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) z))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))))) (#(struct:change #<rule 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(2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (/.f64 (/.f64 1 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3))) 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simplify198.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1428×+-commutative
806×associate-*r*
740×associate-*l*
654×associate-/r*
652×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099625627
1286724873
Stop Event
1×node limit
Counts
539 → 737
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(+.f64 (*.f64 -1 z) z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 z) z))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1 z) z)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1 z) (+.f64 z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
z
(+.f64 (*.f64 y z) z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) z))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 z (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(-.f64 (cos.f64 y) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
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(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z)))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))
(pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(fma.f64 1 x (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(neg.f64 (fma.f64 (+.f64 -1 (neg.f64 (sin.f64 y))) z z))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(neg.f64 (fma.f64 (+.f64 -1 (neg.f64 (sin.f64 y))) z z))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(neg.f64 (fma.f64 (+.f64 -1 (neg.f64 (sin.f64 y))) z z))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z))
(neg.f64 (fma.f64 (+.f64 -1 (neg.f64 (sin.f64 y))) z z))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 -1 z) z)
0
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 z) z))
(fma.f64 y z 0)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1 z) z)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) 0))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1 z) (+.f64 z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (+.f64 0 (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (+.f64 (*.f64 z (*.f64 1/120 (pow.f64 y 5))) 0)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z))
(*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y 1))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (+.f64 y 1) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
z
(+.f64 (*.f64 y z) z)
(fma.f64 y z z)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) z))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) z))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 z (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 y z (+.f64 (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) z) (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 y z (+.f64 (*.f64 z (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) z)))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(*.f64 (+.f64 1 (sin.f64 y)) z)
(*.f64 z (+.f64 (sin.f64 y) 1))
(-.f64 (cos.f64 y) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(-.f64 (cos.f64 y) (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1))))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
x
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
x
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 1 x) (+.f64 (*.f64 -1 z) z))
(+.f64 1 (-.f64 x 0))
(+.f64 1 x)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) (+.f64 (*.f64 -1 z) z))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 z y) x) 0))
(+.f64 1 (fma.f64 -1 (*.f64 z y) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))) (+.f64 (*.f64 -1 z) z))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y y) x)) 0))
(+.f64 1 (fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y y) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))) (+.f64 (*.f64 -1 z) z))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))) 0)
(+.f64 1 (fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -1 z) (*.f64 (+.f64 1 (sin.f64 y)) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (+.f64 -1 (+.f64 (sin.f64 y) 1)))))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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(/.f64 (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (*.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)) (-.f64 x (cos.f64 y)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (-.f64 x (cos.f64 y))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (*.f64 z (sin.f64 y)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z)))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (*.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 z (sin.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (cos.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 x (cos.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z)))) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (-.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (*.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)) (-.f64 x (cos.f64 y)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (-.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (*.f64 z (*.f64 (sin.f64 y) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z)))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) z) 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 z (fma.f64 z (sin.f64 y) z))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 1)
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 2)
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 3)
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(pow.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 3) 1/3)
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 2))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) 3))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(exp.f64 (log.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) 1))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(fma.f64 1 x (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 z (sin.f64 y) (cos.f64 y)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 y)
✓0.2%
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))
✓0.97%
(cbrt.f64 (sin.f64 y))
✓0.99%
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
Compiler

Compiled 26 to 12 computations (53.8% saved)

series7.0ms (0.1%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
1.0ms
y
@0
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
0.0ms
y
@inf
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))
0.0ms
z
@inf
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))

rewrite64.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1714×add-sqr-sqrt
1682×*-un-lft-identity
1582×add-cube-cbrt
1562×add-cbrt-cube
194×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
122725
2254925
Stop Event
1×node limit
Counts
3 → 59
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)))) (#(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 (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 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 1/6)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 1/6) 3) (pow.f64 (pow.f64 (sin.f64 y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify61.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
588×distribute-lft-neg-in
588×distribute-rgt-neg-in
544×+-commutative
538×associate-/r*
524×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391085
13061073
211721047
336631047
Stop Event
1×node limit
Counts
99 → 81
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 1/6)) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 1/6) 3) (pow.f64 (pow.f64 (sin.f64 y) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) (cbrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)
(*.f64 (cbrt.f64 (sin.f64 y)) 1)
(*.f64 1 (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))
(pow.f64 (cbrt.f64 (sin.f64 y)) 1)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) (sin.f64 y))
(sin.f64 y)
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1)
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(sin.f64 y)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (sin.f64 y) 1/6)) (pow.f64 (sin.f64 y) 1/6))
(sin.f64 y)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 1/6) 3) (pow.f64 (pow.f64 (sin.f64 y) 1/6) 3))
(sin.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(sin.f64 y)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)
(cbrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) 1)
(cbrt.f64 (sin.f64 y))
(*.f64 1 (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))
(cbrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(cbrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/3))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 1)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)
(cbrt.f64 (sin.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(cbrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
(cbrt.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))
(cbrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))
(cbrt.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(*.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(*.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(*.f64 (sin.f64 y) z)
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(*.f64 (sin.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(*.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(*.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sin.f64 y) z)

eval357.0ms (3.9%)

Compiler

Compiled 26438 to 9515 computations (64% saved)

prune388.0ms (4.2%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New114351148
Fresh4610
Picked011
Done268
Total1149181167
Error
0%
Counts
1167 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.08%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
16.45%
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
▶0.19%
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
9.92%
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))))
9.59%
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (sin.f64 y) 1)))) (*.f64 z -1)))
▶9.7%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2)))
✓0.09%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶39.03%
(-.f64 (+.f64 x 1) (*.f64 y z))
37.94%
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
55.39%
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
✓32.57%
(+.f64 (cos.f64 y) x)
✓41.51%
(+.f64 x 1)
✓67.08%
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))
▶75.67%
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
✓66.6%
(*.f64 (sin.f64 y) (neg.f64 z))
▶66.64%
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
✓88.49%
(*.f64 y (neg.f64 z))
60.96%
x
Compiler

Compiled 341 to 253 computations (25.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 y)
✓0.01%
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
✓0.18%
(/.f64 1 (sin.f64 y))
✓0.34%
(/.f64 z (/.f64 1 (sin.f64 y)))
Compiler

Compiled 36 to 16 computations (55.6% saved)

series1.0ms (0%)

Counts
3 → 64
Calls

18 calls:

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

rewrite141.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1314×associate-/r*
1076×distribute-lft-in
952×associate-/l*
646×associate-/r/
388×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
128449
2407849
Stop Event
1×node limit
Counts
3 → 226
Calls
Call 1
Inputs
(/.f64 z (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (neg.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 z (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
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simplify127.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1080×associate-*r*
876×associate-*l*
836×associate-+l+
674×associate-+r+
620×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060313660
1183312528
Stop Event
1×node limit
Counts
290 → 349
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 (sin.f64 y))))
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(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 (/.f64 1 (sin.f64 y)) z)) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) 1)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (/.f64 (/.f64 1 (sin.f64 y)) z))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 -1 (sin.f64 y))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (neg.f64 z))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (/.f64 -1 (sin.f64 y)))
(pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y 1/6))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360)))
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 (pow.f64 y 3) 7/360))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 z y) x))
(+.f64 x (-.f64 1 (*.f64 z y)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 z y)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 z y) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (-.f64 1 (*.f64 z y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 z -1) (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) 1) (sin.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 (sqrt.f64 z) (cbrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (sin.f64 y) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1) (sqrt.f64 (sin.f64 y)))
(*.f64 z (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) 1) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (*.f64 z (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (sin.f64 y))) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 3)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (sin.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (/.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 z (*.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) z) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) z) -1)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 (sin.f64 y) (log.f64 (exp.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)
(/.f64 1 (sin.f64 y))
(*.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) 1)
(/.f64 1 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (/.f64 -1 (sin.f64 y)) -1)
(/.f64 1 (sin.f64 y))
(*.f64 -1 (/.f64 -1 (sin.f64 y)))
(/.f64 1 (sin.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) -1) (pow.f64 (sqrt.f64 (sin.f64 y)) -1))
(pow.f64 (sqrt.f64 (sin.f64 y)) -2)
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(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (sin.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) z)) (-.f64 x (cos.f64 y))) (/.f64 1 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (/.f64 1 (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (*.f64 z (-.f64 x (cos.f64 y)))) (/.f64 (-.f64 x (cos.f64 y)) (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 x (cos.f64 y)) (sin.f64 y))) z))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 (/.f64 1 (sin.f64 y)) z)) (*.f64 (-.f64 x (cos.f64 y)) 1)) (-.f64 x (cos.f64 y))) (/.f64 (/.f64 1 (sin.f64 y)) z))
(/.f64 (-.f64 (*.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (-.f64 x (cos.f64 y))) (/.f64 (/.f64 (-.f64 x (cos.f64 y)) (sin.f64 y)) z))
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (*.f64 z (-.f64 x (cos.f64 y)))) -1) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 -1 (sin.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (neg.f64 z))) (-.f64 x (cos.f64 y))) (/.f64 -1 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (/.f64 -1 (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (*.f64 (neg.f64 z) (-.f64 x (cos.f64 y)))) (*.f64 (/.f64 -1 (sin.f64 y)) (-.f64 x (cos.f64 y))))
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 (-.f64 x (cos.f64 y)) (/.f64 -1 (sin.f64 y)))) z) (/.f64 -1 (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (sin.f64 y))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) z)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (/.f64 1 (sin.f64 y)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (sin.f64 y)) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (sin.f64 y)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) z))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 (/.f64 1 (sin.f64 y)) z)) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) 1)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (/.f64 (/.f64 1 (sin.f64 y)) z))
(/.f64 (-.f64 (*.f64 (/.f64 1 (*.f64 z (sin.f64 y))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (/.f64 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (sin.f64 y)) z))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 z (sin.f64 y))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) -1) (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 -1 (sin.f64 y))) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (neg.f64 z))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (/.f64 -1 (sin.f64 y)))
(/.f64 (-.f64 (*.f64 (/.f64 -1 (sin.f64 y)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (*.f64 (/.f64 -1 (sin.f64 y)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(*.f64 (sin.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 -1 (sin.f64 y)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) z) -1))
(pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) 2)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) 3)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 3) 1/3)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 3))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) 1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2)) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))

localize8.0ms (0.1%)

Compiler

Compiled 20 to 10 computations (50% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 y)
✓0.2%
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
0.62%
(+.f64 1 (sin.f64 y))
✓4.01%
(+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y))))
Compiler

Compiled 37 to 25 computations (32.4% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
0.0ms
z
@inf
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
0.0ms
y
@inf
(+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y))))
0.0ms
y
@-inf
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
0.0ms
y
@-inf
(+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y))))

rewrite80.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1126×associate-*r/
954×*-commutative
890×associate-*l/
702×distribute-lft-in
672×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01248
125036
2322128
Stop Event
1×node limit
Counts
2 → 150
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y))))
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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simplify100.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
838×associate-+l+
658×associate-/l*
642×associate-+r+
586×+-commutative
522×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03646532
19855898
248375778
Stop Event
1×node limit
Counts
158 → 257
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(-.f64 1 (+.f64 1 (sin.f64 y)))
(-.f64 (+.f64 1 (sin.f64 y)) -1)
(-.f64 (+.f64 (sin.f64 y) 2) 0)
(-.f64 0 (sin.f64 y))
(-.f64 (-.f64 1 (sin.f64 y)) 1)
(-.f64 2 (neg.f64 (sin.f64 y)))
(-.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))) 1))
(-.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))))
(*.f64 1 (+.f64 (sin.f64 y) 2))
(*.f64 (+.f64 (sin.f64 y) 2) 1)
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (/.f64 1 (+.f64 (sin.f64 y) 2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (sin.f64 y) 2) 2))
(*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (+.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1)) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2))) (neg.f64 (+.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 1 (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 1 (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 1 (pow.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (sin.f64 y) 2)))
(/.f64 (+.f64 (sin.f64 y) 2) 1)
(/.f64 (+.f64 (sin.f64 y) 2) (/.f64 (+.f64 (sin.f64 y) 2) (+.f64 (sin.f64 y) 2)))
(/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (+.f64 (sin.f64 y) 2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (/.f64 (+.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)))
(/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (sqrt.f64 (+.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) (sin.f64 y))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (*.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2))) (pow.f64 (+.f64 (sin.f64 y) 2) 3))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) 3)) (*.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 3)) (*.f64 (+.f64 (sin.f64 y) 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1)) (sin.f64 y))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2))) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) 1) (sin.f64 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2)) 1) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (sqrt.f64 (+.f64 (sin.f64 y) 2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2))) (/.f64 1 (+.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 (sin.f64 y) 2) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 (sin.f64 y) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (pow.f64 (+.f64 1 (sin.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3) (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (cbrt.f64 (+.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2))
(/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (/.f64 1 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) 1) (sin.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) 1) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(pow.f64 (+.f64 (sin.f64 y) 2) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 y) 2))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 3))
(expm1.f64 (log.f64 (-.f64 1 (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 (sin.f64 y) 2)))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) 2)))
(fma.f64 1 (+.f64 1 (sin.f64 y)) 1)
(fma.f64 -1 (+.f64 1 (sin.f64 y)) 1)
(fma.f64 (+.f64 1 (sin.f64 y)) -1 1)
(fma.f64 (sqrt.f64 (+.f64 1 (sin.f64 y))) (sqrt.f64 (+.f64 1 (sin.f64 y))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 y))) 2) (cbrt.f64 (+.f64 1 (sin.f64 y))) 1)
(+.f64 z (+.f64 z (*.f64 z (sin.f64 y))))
(+.f64 z (*.f64 1 (+.f64 z (*.f64 z (sin.f64 y)))))
(+.f64 z (*.f64 (+.f64 z (*.f64 z (sin.f64 y))) 1))
(+.f64 (+.f64 z (*.f64 z (sin.f64 y))) z)
(+.f64 (*.f64 1 (+.f64 z (*.f64 z (sin.f64 y)))) z)
(+.f64 (*.f64 z -1) (*.f64 z (-.f64 1 (sin.f64 y))))
(+.f64 (*.f64 z 0) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 (+.f64 z (*.f64 z (sin.f64 y))) 1) z)
(+.f64 (*.f64 -1 z) (*.f64 (-.f64 1 (sin.f64 y)) z))
(+.f64 (*.f64 0 z) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (sin.f64 y) 2) z))) 1)
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (+.f64 z (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 (+.f64 z (*.f64 z (sin.f64 y))) (exp.f64 (log1p.f64 z))) 1)
(/.f64 z (/.f64 1 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 1)
(/.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (/.f64 (+.f64 (sin.f64 y) 2) z))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) z))
(/.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 1 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2))) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 1 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 z (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1)) (sin.f64 y))
(/.f64 (*.f64 z (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 z (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2))) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 z (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) 2)) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) z) (sin.f64 y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2)) z) (neg.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) z) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) 1) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2)))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) 1) (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (sqrt.f64 (+.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (/.f64 1 (+.f64 (sin.f64 y) 2)))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) 1) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 (sin.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (sin.f64 y) 2) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 (sin.f64 y) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))
(fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))
(-.f64 (*.f64 1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(-.f64 (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) y)
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))
(fma.f64 1/5040 (pow.f64 y 7) (-.f64 (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) y))
(*.f64 -1 (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 (pow.f64 y 5) z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(-.f64 (*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 (pow.f64 y 7) z) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 (pow.f64 y 5) z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 (pow.f64 y 7) z) (-.f64 (*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z)))
(*.f64 z (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))))
(-.f64 1 (+.f64 1 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(-.f64 (+.f64 1 (sin.f64 y)) -1)
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(-.f64 (+.f64 (sin.f64 y) 2) 0)
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(-.f64 0 (sin.f64 y))
(neg.f64 (sin.f64 y))
(-.f64 (-.f64 1 (sin.f64 y)) 1)
(neg.f64 (sin.f64 y))
(-.f64 2 (neg.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(-.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))) 1))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y)))) 1)
(+.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y)))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y)))))
(-.f64 (/.f64 1 (+.f64 (sin.f64 y) 2)) (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))
(-.f64 (/.f64 -1 (-.f64 -2 (sin.f64 y))) (/.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (+.f64 (sin.f64 y) 2)))
(*.f64 (/.f64 -1 (-.f64 -2 (sin.f64 y))) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 2)))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y))))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y)))) 1)
(+.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y)))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1 (sin.f64 y)))))
(*.f64 1 (+.f64 (sin.f64 y) 2))
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(*.f64 (+.f64 (sin.f64 y) 2) 1)
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(*.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(*.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2))
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2) (/.f64 1 (+.f64 (sin.f64 y) 2)))
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(/.f64 (fma.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (+.f64 (sin.f64 y) 2))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 1 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2))) (+.f64 (sin.f64 y) 2))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 1 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) z)
(/.f64 (fma.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 z (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1)) (sin.f64 y))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) -1) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (sin.f64 y)) z)
(*.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (sin.f64 y)) (sin.f64 y)) z)
(/.f64 (*.f64 z (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 z (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) z)
(/.f64 (*.f64 z (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2))) (neg.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 z (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 z (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (neg.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (sin.f64 y))) z)
(*.f64 (/.f64 z (-.f64 (sin.f64 y) (pow.f64 (+.f64 1 (sin.f64 y)) 2))) (-.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 z (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (hypot.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3/2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2))) (+.f64 (sin.f64 y) 2)) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))))
(*.f64 (/.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 4)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) 1) z) (sin.f64 y))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) -1) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (sin.f64 y)) z)
(*.f64 (/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (sin.f64 y)) (sin.f64 y)) z)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 z (/.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) z)
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (sin.f64 y) 2) 2)) z) (neg.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) z) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 z (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (+.f64 (neg.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2)) (sin.f64 y))) z)
(*.f64 (/.f64 z (-.f64 (sin.f64 y) (pow.f64 (+.f64 1 (sin.f64 y)) 2))) (-.f64 -1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) 1) (+.f64 (sin.f64 y) 2))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (*.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) 1) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) z)
(/.f64 (fma.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2))))
(/.f64 (*.f64 z (*.f64 (sqrt.f64 (+.f64 (sin.f64 y) 2)) (hypot.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3/2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (sin.f64 y) 2) (*.f64 z (sqrt.f64 (+.f64 (sin.f64 y) 2)))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) 1) (+.f64 (sin.f64 y) 2))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (sqrt.f64 (+.f64 (sin.f64 y) 2))) (sqrt.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 y) 2)) 2)) (cbrt.f64 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (/.f64 1 (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(/.f64 (/.f64 (*.f64 z (pow.f64 (+.f64 (sin.f64 y) 2) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(/.f64 (/.f64 z (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (pow.f64 (+.f64 (sin.f64 y) 2) 2))) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)) (*.f64 (/.f64 z (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (pow.f64 (+.f64 (sin.f64 y) 2) 2)))
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) 1) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) z)
(/.f64 (fma.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) z)
(/.f64 (fma.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(/.f64 (/.f64 (+.f64 z (*.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (sin.f64 y)) 3)) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y))) z)
(/.f64 (fma.f64 z (pow.f64 (+.f64 1 (sin.f64 y)) 3) z) (-.f64 (pow.f64 (+.f64 1 (sin.f64 y)) 2) (sin.f64 y)))
(pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 1)
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)) 2)
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)) 3)
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 3) 1/3)
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) 2)) 2))
(fabs.f64 (*.f64 z (+.f64 (sin.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 (sin.f64 y) 2)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (sin.f64 y) 2) z))))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 y) 2) z) 3))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 (sin.f64 y) 2) 3)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(exp.f64 (log.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (sin.f64 y) 2) z)))
(+.f64 (+.f64 z z) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (sin.f64 y) 2))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2)))
✓0.12%
(+.f64 (sin.f64 y) 2)
✓0.2%
(*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2))
✓4.37%
(-.f64 (+.f64 (sin.f64 y) 2) 2)
Compiler

Compiled 46 to 24 computations (47.8% saved)

series2.0ms (0%)

Counts
4 → 84
Calls

21 calls:

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

rewrite127.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
670×associate-+l+
540×associate-/r*
416×associate-/l*
396×+-commutative
370×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01472
132554
2473054
Stop Event
1×node limit
Counts
4 → 321
Calls
Call 1
Inputs
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2))
(+.f64 (sin.f64 y) 2)
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2)))
Outputs
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egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))))))

simplify182.0ms (2%)

Algorithm
1×egg-herbie
Rules
1064×associate-+r+
998×distribute-lft-in
994×+-commutative
950×associate-*r*
900×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084119561
1241819141
Stop Event
1×node limit
Counts
405 → 536
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
2
(+.f64 2 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(+.f64 2 (sin.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (sin.f64 y) -2))
(+.f64 2 (+.f64 (+.f64 (sin.f64 y) -2) 0))
(+.f64 2 (-.f64 (+.f64 (sin.f64 y) -2) 0))
(+.f64 (+.f64 2 (sin.f64 y)) -2)
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) -2) 2)
(+.f64 -2 (+.f64 2 (sin.f64 y)))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (/.f64 1 (+.f64 (sin.f64 y) 4)))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (/.f64 1 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(*.f64 (/.f64 1 (+.f64 (sin.f64 y) 4)) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))
(*.f64 (/.f64 1 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)))) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (sin.f64 y))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 2 (+.f64 2 (sin.f64 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y)))) (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y))))))) (-.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (+.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) 3) (pow.f64 (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y)))) (-.f64 (+.f64 4 (*.f64 2 (+.f64 2 (sin.f64 y)))) (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(/.f64 1 (/.f64 1 (sin.f64 y)))
(/.f64 1 (/.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 2 (sin.f64 y)) -2)) (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (+.f64 (sin.f64 y) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 2 (sin.f64 y)) -2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (/.f64 (+.f64 (sin.f64 y) 4) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (/.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (/.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 2 (sin.f64 y)) -2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))) (/.f64 (+.f64 (sin.f64 y) 4) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))) (/.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))) (/.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 2 (sin.f64 y)) -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) 0) (sin.f64 y))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) 64) (*.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) 64) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 2 (sin.f64 y)) -2)) (+.f64 8 (pow.f64 (+.f64 2 (sin.f64 y)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) 16) (*.f64 (+.f64 (sin.f64 y) 4) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) 3) 0) (-.f64 (+.f64 (pow.f64 (sin.f64 y) 2) 0) (*.f64 (sin.f64 y) 0)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 3) 512) (*.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) (+.f64 64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 8)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 3) 512) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (*.f64 (+.f64 2 (sin.f64 y)) -2)) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) (pow.f64 (+.f64 2 (sin.f64 y)) 3)) (+.f64 64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) 8)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) 3) 64) (*.f64 (+.f64 (sin.f64 y) 4) (+.f64 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) (pow.f64 (+.f64 2 (sin.f64 y)) 2)) (+.f64 16 (*.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4)) (neg.f64 (+.f64 (sin.f64 y) 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8)) (neg.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) 1) (+.f64 (sin.f64 y) 4))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (sqrt.f64 (+.f64 (sin.f64 y) 4))) (sqrt.f64 (+.f64 (sin.f64 y) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 2) -4) (*.f64 (cbrt.f64 (+.f64 (sin.f64 y) 4)) (cbrt.f64 (+.f64 (sin.f64 y) 4)))) (cbrt.f64 (+.f64 (sin.f64 y) 4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) 1) (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (sqrt.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2))))) (sqrt.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 (sin.f64 y)) 3) -8) (*.f64 (cbrt.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))) (cbrt.f64 (+.f64 (*.f64 2 (+.f64 2 (sin.f64 y))) (+.f64 4 (pow.f64 (+.f64 2 (sin.f64 y)) 2)))))
(pow.f64 (sin.f64 y) 1)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
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(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) 2)))))
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (/.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (/.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))) (/.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (*.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 3)) (+.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 3)) (*.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))) (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (neg.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) (*.f64 -1/5040 (pow.f64 y 7)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (*.f64 (pow.f64 y 5) (*.f64 1/120 z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) z) (*.f64 (pow.f64 y 5) (*.f64 1/120 z)))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
2
(+.f64 2 y)
(+.f64 y 2)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 y))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y 2))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 2 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 2 (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(+.f64 2 (sin.f64 y))
(+.f64 (sin.f64 y) 2)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(+.f64 1 x)
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(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 y)
✓0.2%
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
0.27%
(expm1.f64 (log1p.f64 (sin.f64 y)))
0.45%
(log1p.f64 (sin.f64 y))
Compiler

Compiled 23 to 8 computations (65.2% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
0.0ms
y
@inf
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
0.0ms
y
@-inf
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
0.0ms
z
@inf
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
0.0ms
z
@-inf
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))

rewrite54.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1514×add-sqr-sqrt
1502×*-un-lft-identity
1388×add-cube-cbrt
1368×add-cbrt-cube
1350×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01015
119811
2221911
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1608×fma-def
856×*-commutative
706×associate--r+
678×associate-*r*
640×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060776
1156692
2525594
32332590
46374590
Stop Event
1×node limit
Counts
38 → 36
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (fma.f64 1/5040 (pow.f64 y 7) (neg.f64 y))))
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 (*.f64 z (sin.f64 y)) 1) -1)
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))

eval441.0ms (4.8%)

Compiler

Compiled 33158 to 14767 computations (55.5% saved)

prune325.0ms (3.5%)

Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New138261388
Fresh246
Picked011
Done2911
Total1386201406
Error
0%
Counts
1406 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.08%
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
16.45%
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
✓0.19%
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
9.73%
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (+.f64 2 (sin.f64 y)) z) (*.f64 -2 z)))
✓9.7%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2)))
✓0.09%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓39.03%
(-.f64 (+.f64 x 1) (*.f64 y z))
37.94%
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
55.39%
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
75.68%
(+.f64 (*.f64 z -1) (*.f64 z (-.f64 1 (sin.f64 y))))
✓32.57%
(+.f64 (cos.f64 y) x)
✓41.51%
(+.f64 x 1)
75.69%
(*.f64 (-.f64 (-.f64 1 (sin.f64 y)) 1) z)
75.67%
(*.f64 (-.f64 1 (+.f64 1 (sin.f64 y))) z)
97.51%
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
✓66.6%
(*.f64 (sin.f64 y) (neg.f64 z))
✓66.64%
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
66.65%
(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (sin.f64 y)))) z)
✓88.49%
(*.f64 y (neg.f64 z))
60.96%
x
Compiler

Compiled 217 to 162 computations (25.3% saved)

regimes80.0ms (0.9%)

Counts
38 → 1
Calls
Call 1
Inputs
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (-.f64 1 (+.f64 1 (sin.f64 y))) z)
(*.f64 (-.f64 (-.f64 1 (sin.f64 y)) 1) z)
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
(+.f64 (*.f64 z -1) (*.f64 z (-.f64 1 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2)))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1)))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (+.f64 2 (sin.f64 y)) z) (*.f64 -2 z)))
(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (sin.f64 y)))) z)
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (neg.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) 2)
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y))))))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (log.f64 (exp.f64 (+.f64 (sin.f64 y) 1)))) (*.f64 z -1)))
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 (+.f64 2 (sin.f64 y)) (*.f64 (+.f64 1 (+.f64 1 (sin.f64 y))) (sin.f64 y)))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (*.f64 2 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Calls

4 calls:

21.0ms
y
17.0ms
x
17.0ms
z
15.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.08%1x
0.08%1y
0.08%1z
0.08%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 418 to 185 computations (55.7% saved)

regimes53.0ms (0.6%)

Counts
25 → 1
Calls
Call 1
Inputs
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (-.f64 1 (+.f64 1 (sin.f64 y))) z)
(*.f64 (-.f64 (-.f64 1 (sin.f64 y)) 1) z)
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
(+.f64 (*.f64 z -1) (*.f64 z (-.f64 1 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (/.f64 z (/.f64 1 (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (-.f64 (+.f64 (sin.f64 y) 2) 2)))
(-.f64 (+.f64 z (+.f64 (cos.f64 y) x)) (*.f64 z (+.f64 (sin.f64 y) 1)))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (+.f64 (sin.f64 y) 1)) (*.f64 z -1)))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (+.f64 2 (sin.f64 y)) z) (*.f64 -2 z)))
(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (sin.f64 y)))) z)
(*.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) (neg.f64 z))
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) (neg.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 3) (neg.f64 z))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

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

Compiled 233 to 123 computations (47.2% saved)

regimes188.0ms (2%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (-.f64 1 (+.f64 1 (sin.f64 y))) z)
(*.f64 (-.f64 (-.f64 1 (sin.f64 y)) 1) z)
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
(+.f64 (*.f64 z -1) (*.f64 z (-.f64 1 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

79.0ms
y
74.0ms
x
31.0ms
z
Results
ErrorSegmentsBranch
7.08%3x
12.91%7y
13.24%3z
Compiler

Compiled 116 to 70 computations (39.7% saved)

bsearch79.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
0.015854824116037534
407.16700315833515
39.0ms
-1037552843129.8165
-8879056.540280156
Results
36.0ms75×body1024valid
30.0ms169×body256valid
8.0ms28×body512valid
Compiler

Compiled 341 to 251 computations (26.4% saved)

regimes151.0ms (1.6%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (-.f64 1 (+.f64 1 (sin.f64 y))) z)
(*.f64 (-.f64 (-.f64 1 (sin.f64 y)) 1) z)
(*.f64 (+.f64 1 (*.f64 -1 (+.f64 1 (sin.f64 y)))) z)
(+.f64 (*.f64 z -1) (*.f64 z (-.f64 1 (sin.f64 y))))
Outputs
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Calls

3 calls:

62.0ms
x
55.0ms
y
31.0ms
z
Results
ErrorSegmentsBranch
23.98%9x
16.36%7y
15.42%3z
Compiler

Compiled 102 to 66 computations (35.3% saved)

bsearch57.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
1.4596813970532034e+96
7.97090842238819e+101
21.0ms
-3.098069268706543e+96
-4.9135357262479735e+95
Results
32.0ms184×body256valid
16.0ms35×body1024valid
7.0ms21×body512valid
Compiler

Compiled 273 to 208 computations (23.8% saved)

regimes50.0ms (0.5%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

17.0ms
z
16.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
30.28%3x
23.03%3y
25.7%3z
Compiler

Compiled 61 to 41 computations (32.8% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
4292321663903844000.0
1.2692388224616833e+20
24.0ms
-171473.36802917285
-1713.1111248967513
Results
43.0ms224×body256valid
Compiler

Compiled 340 to 251 computations (26.2% saved)

regimes43.0ms (0.5%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (*.f64 y -1/2)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
Outputs
(+.f64 x 1)
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 x 1)
Calls

3 calls:

15.0ms
z
14.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
34.38%2x
31.79%3y
34.63%3z
Compiler

Compiled 57 to 39 computations (31.6% saved)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
4292321663903844000.0
1.2692388224616833e+20
23.0ms
-171473.36802917285
-1713.1111248967513
Results
40.0ms224×body256valid
Compiler

Compiled 326 to 251 computations (23% saved)

regimes37.0ms (0.4%)

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

3 calls:

13.0ms
z
13.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
34.38%2x
31.95%3y
34.64%3z
Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch43.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
4292321663903844000.0
1.2692388224616833e+20
21.0ms
-27119803.24859472
-171473.36802917285
Results
40.0ms224×body256valid
Compiler

Compiled 270 to 209 computations (22.6% saved)

regimes20.0ms (0.2%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 (+.f64 1 (*.f64 -1 1)) z)
Outputs
(*.f64 y (neg.f64 z))
(+.f64 x 1)
Calls

3 calls:

10.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
41.51%1x
41.51%1y
39.45%2z
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch36.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
-9.379527220517005e+198
-1.272571013129324e+193
Results
17.0ms103×body256valid
13.0ms27×body1024valid
4.0ms14×body512valid
Compiler

Compiled 153 to 121 computations (20.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total -12.7b remaining (-47.7%)

Threshold costs -12.7b (-47.7%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(+.f64 x 1)
Outputs
(+.f64 x 1)
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
41.51%1x
41.51%1y
41.51%1z
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
26×+-commutative
24×*-commutative
10×sub-neg
10×neg-mul-1
10×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064378
1105378
2122378
3131378
4136378
5137378
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -19000000) (+.f64 (cos.f64 y) x) (if (<=.f64 x 8358680908399641/288230376151711744) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 z -2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -1750) (+.f64 (cos.f64 y) x) (if (<=.f64 y 4400000000000000000) (+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -29000) (+.f64 x 1) (if (<=.f64 y 6200000000000000000) (+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 x 1)))
(if (<=.f64 y -3500000) (+.f64 x 1) (if (<=.f64 y 90000000000000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -310000000000000001452482939340260927704695429061417321733249029577526463418878053444241270215975132669800334700196463110706942295970284015452312115361671305354380699145430923268821546291139767697408) (*.f64 y (neg.f64 z)) (+.f64 x 1))
(+.f64 x 1)
x
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 x -19000000) (+.f64 (cos.f64 y) x) (if (<=.f64 x 8358680908399641/288230376151711744) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 x -19000000) (not (<=.f64 x 8358680908399641/288230376151711744))) (+.f64 x (cos.f64 y)) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(if (<=.f64 z -2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (or (<=.f64 z -2500000000000000183939684619278124599394015538044364199811464475337939785950547550512669914038272) (not (<=.f64 z 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440))) (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(if (<=.f64 y -1750) (+.f64 (cos.f64 y) x) (if (<=.f64 y 4400000000000000000) (+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -1750) (not (<=.f64 y 4400000000000000000))) (+.f64 x (cos.f64 y)) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 x 1)))
(if (<=.f64 y -29000) (+.f64 x 1) (if (<=.f64 y 6200000000000000000) (+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 x 1)))
(if (<=.f64 y -29000) (+.f64 x 1) (if (<=.f64 y 6200000000000000000) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 x 1)) (+.f64 x 1)))
(if (<=.f64 y -3500000) (+.f64 x 1) (if (<=.f64 y 90000000000000000000) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -310000000000000001452482939340260927704695429061417321733249029577526463418878053444241270215975132669800334700196463110706942295970284015452312115361671305354380699145430923268821546291139767697408) (*.f64 y (neg.f64 z)) (+.f64 x 1))
(+.f64 x 1)
x
Compiler

Compiled 171 to 120 computations (29.8% saved)

soundness67.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
392×fma-def
246×associate-+l-
218×associate--r+
182×associate--l+
156×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12027
24327
37227
412327
520427
639827
766227
886027
9119627
10130027
11131027
Stop Event
1×saturated
Compiler

Compiled 51 to 15 computations (70.6% saved)

end70.0ms (0.8%)

Compiler

Compiled 144 to 79 computations (45.1% saved)

Profiling

Loading profile data...