Details

Time bar (total: 9.5s)

analyze224.0ms (2.4%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (24.7%)

Results
1.2s6226×body256valid
808.0ms1358×body1024valid
309.0ms667×body512valid
8.0msbody2048valid
Bogosity

preprocess87.0ms (0.9%)

Algorithm
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
saturated
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)

simplify36.0ms (0.4%)

Algorithm
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
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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
0.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

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

rewrite153.0ms (1.6%)

Algorithm
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
01154
124054
2337054
Stop Event
node limit
Counts
4 → 293
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(cos.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 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 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y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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))) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (/.f64 (-.f64 x (cos.f64 y)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) 1) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) 1) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) 1) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) 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(sin.f64 y)) 3))) (/.f64 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 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 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 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))))) (#(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)) 1) (+.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)) (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 (*.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)))))))))) (#(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)) (*.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)))) (#(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 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))))

simplify190.0ms (2%)

Algorithm
egg-herbie
Rules
1090×associate-*r*
942×associate-*l*
730×associate-/l*
728×+-commutative
694×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073919795
1213218633
Stop Event
node limit
Counts
361 → 444
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)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.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))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(-.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 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (cos.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (cos.f64 y)))) 1)
(-.f64 (+.f64 (cos.f64 y) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (+.f64 x (cos.f64 y)) 1)
(*.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(*.f64 (/.f64 1 (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (*.f64 x x) (*.f64 (cos.f64 y) (+.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))
(/.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))))
(/.f64 1 (/.f64 1 (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.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 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (*.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.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 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (*.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 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.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 1 (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (neg.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 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.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)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.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)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (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 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.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 (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.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 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.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 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)) (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 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (+.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 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 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 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 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 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 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 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.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)))))
(/.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)))))
(/.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 (-.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 (-.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 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (cos.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 (+.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))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
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(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (+.f64 (cos.f64 y) x) 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 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 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 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.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 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 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 z (sin.f64 y)) 3) 3)) (/.f64 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 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (*.f64 (/.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 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))) (pow.f64 (*.f64 z (sin.f64 y)) 6))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (sqrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) 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)))))
(/.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 (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 z (*.f64 (sin.f64 y) (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 z (*.f64 (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 z (*.f64 (sin.f64 y) (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 (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 z (*.f64 (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 z (*.f64 (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 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x)) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (sqrt.f64 x) (sqrt.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 (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (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))))
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)

eval210.0ms (2.2%)

Compiler

Compiled 12599 to 3579 computations (71.6% saved)

prune121.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New43212444
Fresh000
Picked101
Done000
Total43312445
Error
0b
Counts
445 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
24.5b
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
0.2b
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
24.0b
(-.f64 (+.f64 x (+.f64 1 (*.f64 y (*.f64 y -1/2)))) (*.f64 z (sin.f64 y)))
0.0b
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
28.1b
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
19.7b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
7.3b
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
26.8b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
20.3b
(-.f64 x (*.f64 z (sin.f64 y)))
0.1b
(+.f64 x (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
22.7b
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
46.2b
(*.f64 z (neg.f64 (sin.f64 y)))
Compiler

Compiled 324 to 224 computations (30.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
0.1b
(log1p.f64 (expm1.f64 (cos.f64 y)))
0.6b
(expm1.f64 (cos.f64 y))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series2.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite107.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1136×associate-*r/
1118×distribute-lft-in
1062×associate-*l/
460×associate-+l+
288×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341
127741
2359841
Stop Event
node limit
Counts
3 → 228
Calls
Call 1
Inputs
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
Outputs
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simplify176.0ms (1.8%)

Algorithm
egg-herbie
Rules
1284×associate-+r-
1022×fma-def
698×associate-*r*
614×+-commutative
602×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057315606
1162114378
2737214378
Stop Event
node limit
Counts
288 → 331
Calls
Call 1
Inputs
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.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 (expm1.f64 (cos.f64 y)) 0)
(+.f64 1 (+.f64 (expm1.f64 (cos.f64 y)) -1))
(+.f64 1 (-.f64 (expm1.f64 (cos.f64 y)) 1))
(+.f64 (exp.f64 (cos.f64 y)) -1)
(+.f64 -1 (exp.f64 (cos.f64 y)))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (+.f64 (expm1.f64 (cos.f64 y)) 2) 2)
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(*.f64 1 (expm1.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1)) (+.f64 (expm1.f64 (cos.f64 y)) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.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 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)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y)))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))))
(/.f64 (/.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)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.f64 y))))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (+.f64 x (*.f64 z (sin.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 (cos.f64 y) x) (*.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 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (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 (neg.f64 (sin.f64 y))))
Outputs
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (exp.f64 1)) 1)
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 y y)) (E.f64)) (expm1.f64 1))
(fma.f64 (*.f64 -1/2 (*.f64 y y)) (E.f64) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (exp.f64 1))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4)) (E.f64))) -1)
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 1/6 (pow.f64 y 4)))) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 1))) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 1))) (exp.f64 1)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4)) (fma.f64 -31/720 (*.f64 (E.f64) (pow.f64 y 6)) (E.f64)))) -1)
(fma.f64 -1/2 (*.f64 (E.f64) (*.f64 y y)) (+.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/6 (pow.f64 y 4)) (*.f64 -31/720 (pow.f64 y 6)))) (expm1.f64 1)))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (*.f64 -1/2 (*.f64 y y))) (fma.f64 (pow.f64 y 6) -1/720 1))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.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 (+.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 (+.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.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 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.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 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(*.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))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.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 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.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 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(*.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))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.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 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.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 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (expm1.f64 (cos.f64 y)) 0)
(expm1.f64 (cos.f64 y))
(+.f64 1 (+.f64 (expm1.f64 (cos.f64 y)) -1))
(expm1.f64 (cos.f64 y))
(+.f64 1 (-.f64 (expm1.f64 (cos.f64 y)) 1))
(expm1.f64 (cos.f64 y))
(+.f64 (exp.f64 (cos.f64 y)) -1)
(expm1.f64 (cos.f64 y))
(+.f64 -1 (exp.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 (expm1.f64 (cos.f64 y)) 2) 2)
(expm1.f64 (cos.f64 y))
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 1 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(expm1.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2))
(/.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) -1) (+.f64 2 (expm1.f64 (cos.f64 y))))
(/.f64 (expm1.f64 (*.f64 2 (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 y)) 3)) (+.f64 (+.f64 1 (exp.f64 (cos.f64 y))) (exp.f64 (*.f64 2 (cos.f64 y)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1)) (+.f64 (expm1.f64 (cos.f64 y)) 2))
(/.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) -1) (+.f64 2 (expm1.f64 (cos.f64 y))))
(/.f64 (expm1.f64 (*.f64 2 (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 y)) 3)) (+.f64 (+.f64 1 (exp.f64 (cos.f64 y))) (exp.f64 (*.f64 2 (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) 1) (+.f64 (expm1.f64 (cos.f64 y)) 2))
(/.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) -1) (+.f64 2 (expm1.f64 (cos.f64 y))))
(/.f64 (expm1.f64 (*.f64 2 (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 y)) 3)) (+.f64 (+.f64 1 (exp.f64 (cos.f64 y))) (exp.f64 (*.f64 2 (cos.f64 y)))))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(expm1.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(expm1.f64 (cos.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(expm1.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(fabs.f64 (expm1.f64 (cos.f64 y)))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 y)))))
(expm1.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(expm1.f64 (cos.f64 y))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) 1))
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
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(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))

localize10.0ms (0.1%)

Compiler

Compiled 32 to 16 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 28
Calls

9 calls:

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

rewrite86.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
902×*-commutative
748×unswap-sqr
548×swap-sqr
414×distribute-lft-in
408×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118917
2249117
Stop Event
node limit
Counts
1 → 148
Calls
Call 1
Inputs
(-.f64 x (*.f64 z (sin.f64 y)))
Outputs
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simplify121.0ms (1.3%)

Algorithm
egg-herbie
Rules
1650×associate-*r/
1222×associate-+r+
1188×associate-+l+
1020×+-commutative
742×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041111116
111909994
248969802
Stop Event
node limit
Counts
176 → 241
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
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(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
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(*.f64 -1 (*.f64 z (sin.f64 y)))
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(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
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(/.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.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 (-.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.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 (-.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 (-.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) (*.f64 (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))) (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 (-.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 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 x (*.f64 z (sin.f64 y)))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 x (+.f64 (*.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 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(+.f64 x (+.f64 (*.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 (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))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.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 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.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 (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))) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))) (+.f64 x (*.f64 (*.f64 0 (*.f64 z (sin.f64 y))) 2)))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) x)) (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 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
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(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 x (*.f64 z (sin.f64 y)))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (/.f64 x (/.f64 (+.f64 (*.f64 z (sin.f64 y)) x) x)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (*.f64 z (sin.f64 y)) x))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (*.f64 z (sin.f64 y)) x))) (+.f64 (/.f64 x (/.f64 (+.f64 (*.f64 z (sin.f64 y)) x) x)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (+.f64 (*.f64 (/.f64 x (fma.f64 z (sin.f64 y) x)) x) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) x)))) (+.f64 (*.f64 (/.f64 x (fma.f64 z (sin.f64 y) x)) x) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) x)))))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (neg.f64 (fma.f64 z (sin.f64 y) x)))
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 z (*.f64 (sin.f64 y) (+.f64 (*.f64 z (sin.f64 y)) x)))))
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(sqrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 2))
(fabs.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
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(fma.f64 z (neg.f64 (sin.f64 y)) x)
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(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 7 computations (69.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 16
Calls

6 calls:

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

rewrite125.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
904×*-commutative
748×unswap-sqr
548×swap-sqr
422×distribute-lft-in
416×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118921
2249421
Stop Event
node limit
Counts
1 → 145
Calls
Call 1
Inputs
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
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(cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))))

simplify145.0ms (1.5%)

Algorithm
egg-herbie
Rules
1586×associate-*r/
1224×associate-+r+
1216×associate-+l+
978×+-commutative
714×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040412013
1115810763
2481610571
Stop Event
node limit
Counts
161 → 236
Calls
Call 1
Inputs
1
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(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (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))) (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 (-.f64 (cos.f64 y) (*.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 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 y y))))
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 z (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z)))
(+.f64 (-.f64 1 (*.f64 y z)) (fma.f64 -1/2 (*.f64 y y) (*.f64 z (*.f64 1/6 (pow.f64 y 3)))))
(cos.f64 y)
(+.f64 (*.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))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.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))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.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))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.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 (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 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 (cos.f64 y) (+.f64 (*.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 (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 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.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 (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 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 (-.f64 (cos.f64 y) (*.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 (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 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.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 (*.f64 0 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (+.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y))))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 2 (*.f64 0 (*.f64 z (sin.f64 y)))) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (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))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.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 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))) (*.f64 0 (*.f64 z (sin.f64 y)))))
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(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
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(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))) (-.f64 (cos.f64 y) (+.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 0 (*.f64 z (sin.f64 y))))) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (*.f64 0 (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.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 (-.f64 (cos.f64 y) (*.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 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.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 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 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.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) (fma.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 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (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))) (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 (-.f64 (cos.f64 y) (*.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 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (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))) (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) (fma.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 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(/.f64 (fma.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) -1) (+.f64 1 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))) (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

eval635.0ms (6.7%)

Compiler

Compiled 28534 to 8080 computations (71.7% saved)

prune274.0ms (2.9%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1052141066
Fresh707
Picked011
Done224
Total1061171078
Error
0b
Counts
1078 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
40.4b
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
20.4b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
0.0b
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
19.7b
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 y z))
26.8b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
20.3b
(-.f64 x (*.f64 z (sin.f64 y)))
35.5b
(-.f64 x (*.f64 z y))
34.1b
(-.f64 1 (*.f64 z (sin.f64 y)))
45.1b
(-.f64 1 (*.f64 y z))
20.4b
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
41.0b
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
45.7b
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
24.1b
(+.f64 1 x)
46.2b
(*.f64 (sin.f64 y) (neg.f64 z))
43.6b
(cos.f64 y)
36.7b
x
50.5b
1
Compiler

Compiled 327 to 232 computations (29.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
0.0b
(cos.f64 y)
0.1b
(log1p.f64 (expm1.f64 (cos.f64 y)))
0.6b
(expm1.f64 (cos.f64 y))
Compiler

Compiled 34 to 9 computations (73.5% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
0.0ms
y
@0
(+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
0.0ms
x
@inf
(+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
0.0ms
y
@inf
(+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
0.0ms
y
@-inf
(+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))

rewrite59.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1754×add-sqr-sqrt
1738×*-un-lft-identity
1618×add-cube-cbrt
1600×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
118311
2214411
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))))

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
1194×associate-*r*
1072×associate-*l*
852×associate-+r+
644×associate-+l+
556×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01081119
12631089
29041089
348701089
Stop Event
node limit
Counts
59 → 54
Calls
Call 1
Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(*.f64 (+.f64 x (cos.f64 y)) 1)
(*.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (+.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 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(fma.f64 1 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 x (fma.f64 y (*.f64 y -1/2) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x)))
(fma.f64 y (*.f64 y -1/2) (+.f64 1 (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(+.f64 (cos.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(*.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 (cos.f64 y) x)
(*.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))
(+.f64 (cos.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.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 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.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 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (+.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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.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 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) 1) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.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 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))
(pow.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 (cos.f64 y) x)
(pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)
(+.f64 (cos.f64 y) x)
(pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)
(+.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)
(+.f64 (cos.f64 y) x)
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(+.f64 (cos.f64 y) x)
(log.f64 (exp.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))
(+.f64 (cos.f64 y) x)
(expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(exp.f64 (log.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))
(+.f64 (cos.f64 y) x)
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 1 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
(+.f64 (cos.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 (cos.f64 y) x)

localize5.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize5.0ms (0.1%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts
1 → 16
Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1814×add-sqr-sqrt
1798×*-un-lft-identity
1666×add-cube-cbrt
1650×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118217
2223617
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 1 (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.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 1 (*.f64 z (sin.f64 y))) (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 1 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 z (neg.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))))))

simplify62.0ms (0.7%)

Algorithm
egg-herbie
Rules
1110×div-sub
894×distribute-lft-in
736×distribute-rgt-in
654×*-commutative
652×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0991252
12641160
210851122
334241122
Stop Event
node limit
Counts
46 → 55
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) 1)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) 1)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) 1)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 1 (+.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 (neg.f64 (sin.f64 y))))
(+.f64 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)
(*.f64 1 (-.f64 1 (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 1 (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 z (sin.f64 y))) (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 1 (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 1 (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
Outputs
1
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) 1)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) 1)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) 1)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 z y)))
(-.f64 1 (*.f64 z y))
(fma.f64 y (neg.f64 z) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 1 (fma.f64 -1 (*.f64 z y) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(+.f64 1 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) 1)
(+.f64 1 (+.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 (fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(+.f64 1 (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)))
(+.f64 1 (*.f64 z (-.f64 (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) y)))
(-.f64 1 (*.f64 z (-.f64 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))))
(+.f64 1 (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 1 (-.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 1)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 1 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) 1))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (fma.f64 z (sin.f64 y) 1) (*.f64 z (sin.f64 y)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) 1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 z (sin.f64 y))) (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 1 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (fma.f64 z (sin.f64 y) 1) (*.f64 z (sin.f64 y)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) 1)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 1 (*.f64 z (sin.f64 y))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 1 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (fma.f64 z (sin.f64 y) 1) (*.f64 z (sin.f64 y)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) 1)) 1))
(/.f64 (-.f64 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 1 (*.f64 z (neg.f64 (sin.f64 y)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 1 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 z (neg.f64 (sin.f64 y))))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (fma.f64 z (sin.f64 y) 1) (*.f64 z (sin.f64 y)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) 1)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 1 (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 1 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 1 (fma.f64 z (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (fma.f64 z (sin.f64 y) 1) (*.f64 z (sin.f64 y)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) 1)) 1))
(pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 1)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 2)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z (sin.f64 y)))) 3)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 3) 1/3)
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 2))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(log.f64 (exp.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 z (sin.f64 y))))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z (sin.f64 y))) 3))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 z (neg.f64 (sin.f64 y)))) 1))
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z (sin.f64 y)))))
(-.f64 1 (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) 1)

eval62.0ms (0.7%)

Compiler

Compiled 3610 to 1789 computations (50.4% saved)

prune57.0ms (0.6%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New2564260
Fresh369
Picked011
Done167
Total26017277
Error
0b
Counts
277 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
40.4b
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
20.4b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
0.0b
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
26.8b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
20.3b
(-.f64 x (*.f64 z (sin.f64 y)))
35.5b
(-.f64 x (*.f64 z y))
34.1b
(-.f64 1 (*.f64 z (sin.f64 y)))
45.1b
(-.f64 1 (*.f64 z y))
20.4b
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
45.9b
(+.f64 1 (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)))
51.6b
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
24.1b
(+.f64 1 x)
46.2b
(*.f64 (sin.f64 y) (neg.f64 z))
43.6b
(log1p.f64 (expm1.f64 (cos.f64 y)))
43.6b
(cos.f64 y)
36.7b
x
50.5b
1
Compiler

Compiled 271 to 197 computations (27.3% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (neg.f64 (sin.f64 y)) x)
0.1b
(*.f64 z (sin.f64 y))
54.1b
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
Compiler

Compiled 60 to 14 computations (76.7% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite65.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
956×*-commutative
712×unswap-sqr
554×swap-sqr
404×sqr-pow
402×pow-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01244
123834
2293514
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (+.f64 (*.f64 (sin.f64 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (-.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 x)))) (+.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 y) z))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) 1) (-.f64 (*.f64 (sin.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (fma.f64 z (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 z (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))))))

simplify62.0ms (0.7%)

Algorithm
egg-herbie
Rules
1466×fma-def
1184×times-frac
754×associate-/r*
632×associate-/l*
620×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01892646
15352388
220232214
Stop Event
node limit
Counts
110 → 93
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
0
(+.f64 (*.f64 (sin.f64 y) z) x)
(+.f64 x (*.f64 (sin.f64 y) z))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) -1)
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 (*.f64 (sin.f64 y) z) 1))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) z) x)))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (-.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 x)))) (+.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 y) z))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 y) z))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) z) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) 1) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (fma.f64 z (sin.f64 y) x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x)))))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(fabs.f64 (fma.f64 z (sin.f64 y) x))
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
Outputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
0
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y))
(fma.f64 z (fma.f64 -1 y (*.f64 (pow.f64 y 3) 1/6)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(-.f64 (fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 (pow.f64 y 3) 1/6)) x) (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
0
(*.f64 (*.f64 0 z) y)
(*.f64 y 0)
(+.f64 (*.f64 (sin.f64 y) z) x)
(fma.f64 z (sin.f64 y) x)
(+.f64 x (*.f64 (sin.f64 y) z))
(fma.f64 z (sin.f64 y) x)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) -1)
(fma.f64 z (sin.f64 y) x)
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)
(fma.f64 z (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (-.f64 1 x))
(fma.f64 z (sin.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 (*.f64 (sin.f64 y) z) 1))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 x))) 1)
(fma.f64 z (sin.f64 y) x)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(fma.f64 z (sin.f64 y) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 (sin.f64 y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(*.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 z (sin.f64 y) x))
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2))
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (sin.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (fma.f64 z (sin.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))))
(fma.f64 z (sin.f64 y) x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)))))
(fma.f64 z (sin.f64 y) x)
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))) (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (fabs.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3/2))
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/6))
(fma.f64 z (sin.f64 y) x)
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (-.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 x)))) (+.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (cbrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)))) (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)))
(*.f64 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (-.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)))))
(*.f64 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (-.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 y) z))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 y) z))))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (-.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)))) (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)))
(*.f64 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (-.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)))))
(*.f64 (+.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)) (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (-.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (fma.f64 z (sin.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (fma.f64 z (sin.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 (sin.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (sin.f64 y) (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) 1) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (fma.f64 z (sin.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (fma.f64 z (sin.f64 y) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 z (sin.f64 y) x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1))
(fma.f64 z (sin.f64 y) x)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)) (log1p.f64 (fma.f64 z (sin.f64 y) x)))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) 3)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 z (sin.f64 y) x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 z (sin.f64 y) x)))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 z (sin.f64 y) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)) (fma.f64 z (sin.f64 y) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x (fma.f64 z (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x (fma.f64 z (sin.f64 y) x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(pow.f64 (fma.f64 z (sin.f64 y) x) 1)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) x)) 2)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) x)) 3)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3) 1/3)
(fma.f64 z (sin.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 2))
(fma.f64 z (sin.f64 y) x)
(fabs.f64 (fma.f64 z (sin.f64 y) x))
(fma.f64 z (sin.f64 y) x)
(log.f64 (exp.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) x))))
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) x) 3))
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) x)))
(fma.f64 z (sin.f64 y) x)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 z y))
Compiler

Compiled 14 to 7 computations (50% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1470×add-sqr-sqrt
1454×*-un-lft-identity
1352×add-cube-cbrt
1340×add-cbrt-cube
1330×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114513
2181513
Stop Event
node limit
Counts
1 → 29
Calls
Call 1
Inputs
(-.f64 1 (*.f64 z y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 z y))) (sqrt.f64 (-.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 2) (cbrt.f64 (-.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2)) (/.f64 1 (+.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 z y)) (-.f64 1 (pow.f64 (*.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2))) (-.f64 1 (pow.f64 (*.f64 z y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2)) (+.f64 1 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3)) (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 1 (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2))) (neg.f64 (+.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 z (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z y))))))))

simplify54.0ms (0.6%)

Algorithm
egg-herbie
Rules
1070×div-sub
912×distribute-lft-in
740×distribute-rgt-in
720×associate-/l/
560×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0791039
1208959
2901939
32973939
Stop Event
node limit
Counts
53 → 44
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 z (neg.f64 y)))
(+.f64 1 (*.f64 (*.f64 z (neg.f64 y)) 1))
(+.f64 (*.f64 z (neg.f64 y)) 1)
(*.f64 1 (-.f64 1 (*.f64 z y)))
(*.f64 (-.f64 1 (*.f64 z y)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 z y))) (sqrt.f64 (-.f64 1 (*.f64 z y))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 2) (cbrt.f64 (-.f64 1 (*.f64 z y))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2)) (/.f64 1 (+.f64 1 (*.f64 z y))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 z y)) (-.f64 1 (pow.f64 (*.f64 z y) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2))) (-.f64 1 (pow.f64 (*.f64 z y) 3))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2)) (+.f64 1 (*.f64 z y)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3)) (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2))))
(/.f64 (-.f64 1 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 1 (*.f64 z (neg.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2))) (neg.f64 (+.f64 1 (*.f64 z y))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2)))))
(pow.f64 (-.f64 1 (*.f64 z y)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z y))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 z y))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z y))))
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 y))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 z (neg.f64 y))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z y))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 z (neg.f64 y)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 (*.f64 z (neg.f64 y)) 1))
(-.f64 1 (*.f64 y z))
(+.f64 (*.f64 z (neg.f64 y)) 1)
(-.f64 1 (*.f64 y z))
(*.f64 1 (-.f64 1 (*.f64 z y)))
(-.f64 1 (*.f64 y z))
(*.f64 (-.f64 1 (*.f64 z y)) 1)
(-.f64 1 (*.f64 y z))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 z y))) (sqrt.f64 (-.f64 1 (*.f64 z y))))
(-.f64 1 (*.f64 y z))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 2))
(-.f64 1 (*.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 2) (cbrt.f64 (-.f64 1 (*.f64 z y))))
(-.f64 1 (*.f64 y z))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2)) (/.f64 1 (+.f64 1 (*.f64 z y))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(*.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (fma.f64 z y (pow.f64 (*.f64 y z) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (fma.f64 y (*.f64 y z) y) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (*.f64 y (fma.f64 y z 1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 z y)) (-.f64 1 (pow.f64 (*.f64 z y) 2))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2))) (-.f64 1 (pow.f64 (*.f64 z y) 3))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (fma.f64 z y (pow.f64 (*.f64 y z) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (fma.f64 y (*.f64 y z) y) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (*.f64 y (fma.f64 y z 1)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2)) (+.f64 1 (*.f64 z y)))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3)) (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (fma.f64 z y (pow.f64 (*.f64 y z) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (fma.f64 y (*.f64 y z) y) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (*.f64 y (fma.f64 y z 1)) 1))
(/.f64 (-.f64 1 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 1 (*.f64 z (neg.f64 y))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 y)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (fma.f64 z y (pow.f64 (*.f64 y z) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (fma.f64 y (*.f64 y z) y) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (*.f64 y (fma.f64 y z 1)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z y) 2))) (neg.f64 (+.f64 1 (*.f64 z y))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 z y) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 z y) (pow.f64 (*.f64 z y) 2)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (fma.f64 z y (pow.f64 (*.f64 y z) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (fma.f64 y (*.f64 y z) y) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 z (*.f64 y (fma.f64 y z 1)) 1))
(pow.f64 (-.f64 1 (*.f64 z y)) 1)
(-.f64 1 (*.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z y))) 2)
(-.f64 1 (*.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z y))) 3)
(-.f64 1 (*.f64 y z))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 3) 1/3)
(-.f64 1 (*.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 2))
(-.f64 1 (*.f64 y z))
(log.f64 (exp.f64 (-.f64 1 (*.f64 z y))))
(-.f64 1 (*.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z y)) 3))
(-.f64 1 (*.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z y))))
(-.f64 1 (*.f64 y z))
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 y))))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 y z))))
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 z (neg.f64 y))) 1))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 y z))))
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 y))))
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z y))))
(-.f64 1 (*.f64 y z))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.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
@-inf
(*.f64 (sin.f64 y) (neg.f64 z))
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
z
@inf
(*.f64 (sin.f64 y) (neg.f64 z))

rewrite49.0ms (0.5%)

Algorithm
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
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)))))))

simplify58.0ms (0.6%)

Algorithm
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
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))

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/6 (pow.f64 y 3))
0.2b
(*.f64 -1/120 (pow.f64 y 5))
3.7b
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5))))
19.2b
(+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))
Compiler

Compiled 89 to 64 computations (28.1% saved)

series9.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(*.f64 -1/120 (pow.f64 y 5))
2.0ms
z
@0
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5))))
1.0ms
y
@0
(+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))
0.0ms
y
@inf
(+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))
0.0ms
z
@inf
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5))))

rewrite104.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
884×swap-sqr
666×associate-*r/
658×distribute-rgt-in
622×distribute-lft-in
560×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01486
131386
2381786
Stop Event
node limit
Counts
4 → 179
Calls
Call 1
Inputs
(+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))
(*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5))))
(*.f64 -1/120 (pow.f64 y 5))
(*.f64 1/6 (pow.f64 y 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/120 (pow.f64 y 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/120 (pow.f64 y 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/14400 (pow.f64 y 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/120) (pow.f64 y 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/120 (pow.f64 y 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/120 (pow.f64 y 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/120 (pow.f64 y 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))))))

simplify186.0ms (2%)

Algorithm
egg-herbie
Rules
1398×associate-/r/
794×associate-*r*
782×associate-*l*
692×associate-/l*
606×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047013147
1126213013
2605613001
Stop Event
node limit
Counts
215 → 261
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 y 3))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(*.f64 -1/120 (pow.f64 y 5))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(*.f64 -1/120 (pow.f64 y 5))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3))) z)
(*.f64 1/6 (*.f64 (pow.f64 y 3) z))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 -1/120 (*.f64 (pow.f64 y 5) z))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(*.f64 -1/120 (*.f64 (pow.f64 y 5) z))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5)))) (-.f64 1 (*.f64 1/6 (pow.f64 y 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) (-.f64 1 (*.f64 -1/120 (pow.f64 y 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))) 1)
(-.f64 (/.f64 (pow.f64 y 6) (/.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)) 1/36)) (/.f64 (*.f64 1/14400 (pow.f64 y 10)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) (exp.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5))))) 1)
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))) 1)
(*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) 1)
(*.f64 1 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))))
(*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))))
(*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) (/.f64 1 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(*.f64 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))) (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 1/1728000 (pow.f64 (pow.f64 y 5) 3)))) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 -1/120 (pow.f64 y 5)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) (-.f64 (*.f64 1/1296 (*.f64 (pow.f64 y 6) (pow.f64 y 6))) (*.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) -1/6)) (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) -1/6)))))) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 (pow.f64 y 5) 1/120) (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) -1/6)))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) (+.f64 (pow.f64 (*.f64 (pow.f64 y 6) 1/36) 3) (pow.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (pow.f64 y 5) 1/120))) 3))) (+.f64 (*.f64 1/1296 (*.f64 (pow.f64 y 6) (pow.f64 y 6))) (*.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (pow.f64 y 5) 1/120))) (-.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (pow.f64 y 5) 1/120))) (*.f64 (pow.f64 y 6) 1/36)))))
(/.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (/.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 1 (/.f64 1 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(/.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))) (/.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) (/.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))) (/.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)))) (/.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)))))
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(/.f64 (*.f64 z (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))))) (neg.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (*.f64 1 (*.f64 z (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)))) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))
(/.f64 (*.f64 1 (*.f64 z (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))))) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))
(/.f64 (*.f64 1 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z)) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 6) 1/36)) (*.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 z z)))) (*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (pow.f64 y 3) (*.f64 1/6 z)) 3) (pow.f64 (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)) 3))) (+.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 6) 1/36)) (*.f64 (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)) (-.f64 (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)) (*.f64 (pow.f64 y 3) (*.f64 1/6 z))))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)))) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))))) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))))) (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 -1/36 (pow.f64 y 6))) z) (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) -1/6)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) z) (neg.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))) z) (neg.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (*.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) 1) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))
(/.f64 (*.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))) 1) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z) 1) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z) 1) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 6) 1/36)) (*.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 z z))) 1) (*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y 3) (*.f64 1/6 z)) 3) (pow.f64 (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)) 3)) 1) (+.f64 (*.f64 (*.f64 z z) (*.f64 (pow.f64 y 6) 1/36)) (*.f64 (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)) (-.f64 (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)) (*.f64 (pow.f64 y 3) (*.f64 1/6 z))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) (*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) z)) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))) (*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) z)) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) 1) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))
(/.f64 (/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400))) (+.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))) (-.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2))))
(/.f64 (/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))) 1) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(/.f64 (/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))) (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))) (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z) 1) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z) (+.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))) (-.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z) 1) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))) (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))) (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)))
(exp.f64 (log.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)))
(fma.f64 (*.f64 1/6 (pow.f64 y 3)) z (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)))
(fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5)))) 1)
(pow.f64 (*.f64 -1/120 (pow.f64 y 5)) 1)
(pow.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/120 (pow.f64 y 5))) 3)
(pow.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)) 1/3)
(sqrt.f64 (*.f64 1/14400 (pow.f64 y 10)))
(log.f64 (pow.f64 (exp.f64 -1/120) (pow.f64 y 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/120 (pow.f64 y 5)))))
(cbrt.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5))))
(exp.f64 (log.f64 (*.f64 -1/120 (pow.f64 y 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/120 (pow.f64 y 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/120 (pow.f64 y 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1)
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 y 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))
Outputs
(*.f64 1/6 (pow.f64 y 3))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
(*.f64 -1/120 (pow.f64 y 5))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
(*.f64 -1/120 (pow.f64 y 5))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
(+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))
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(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y 6) 1/36 (*.f64 (pow.f64 y 10) -1/14400)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) z)
(*.f64 z (/.f64 (fma.f64 (pow.f64 y 6) 1/36 (*.f64 (pow.f64 y 10) -1/14400)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))
(*.f64 z (/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 1/14400 (pow.f64 y 10))) (fma.f64 -1/120 (pow.f64 y 5) (*.f64 (pow.f64 y 3) -1/6))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (pow.f64 y 10) -1/14400)) z) (+.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))) (-.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 y 6) 1/36 (*.f64 (pow.f64 y 10) -1/14400))) (*.f64 (-.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2))) (fma.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y 6) 1/36 (*.f64 (pow.f64 y 10) -1/14400)) (-.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2)))) (/.f64 z (fma.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y 6) 1/36 (*.f64 (pow.f64 y 10) -1/14400)) (*.f64 (fma.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6))) (-.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2))))) z)
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z) 1) (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) (fma.f64 1/14400 (pow.f64 y 10) (*.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))) z)
(*.f64 z (/.f64 (fma.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3) (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) (*.f64 1/14400 (pow.f64 y 10)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))) (sqrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) (fma.f64 1/14400 (pow.f64 y 10) (*.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))) z)
(*.f64 z (/.f64 (fma.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3) (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) (*.f64 1/14400 (pow.f64 y 10)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) z) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))) (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))) (cbrt.f64 (+.f64 (*.f64 1/14400 (pow.f64 y 10)) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) 1/216 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3))) (fma.f64 1/14400 (pow.f64 y 10) (*.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120)))))) z)
(*.f64 z (/.f64 (fma.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3) (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216)) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/6 (pow.f64 y 3) (*.f64 (pow.f64 y 5) 1/120))) (*.f64 1/14400 (pow.f64 y 10)))))
(pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 1)
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)) 2)
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)) 3)
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 3) 1/3)
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3)))) 2))
(fabs.f64 (*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z))))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z) 3))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) 3) (pow.f64 z 3)))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) 3)))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(exp.f64 (log.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)) 1))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) z)))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(fma.f64 (*.f64 1/6 (pow.f64 y 3)) z (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (*.f64 (pow.f64 y 5) (*.f64 -1/120 z)))
(*.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5)))) 1)
(*.f64 -1/120 (pow.f64 y 5))
(pow.f64 (*.f64 -1/120 (pow.f64 y 5)) 1)
(*.f64 -1/120 (pow.f64 y 5))
(pow.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 y 5/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/120 (pow.f64 y 5))) 3)
(*.f64 -1/120 (pow.f64 y 5))
(pow.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)) 1/3)
(cbrt.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))
(sqrt.f64 (*.f64 1/14400 (pow.f64 y 10)))
(log.f64 (pow.f64 (exp.f64 -1/120) (pow.f64 y 5)))
(*.f64 -1/120 (pow.f64 y 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/120 (pow.f64 y 5)))))
(*.f64 -1/120 (pow.f64 y 5))
(cbrt.f64 (*.f64 -1/1728000 (pow.f64 (pow.f64 y 5) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 y 5))))
(*.f64 -1/120 (pow.f64 y 5))
(exp.f64 (log.f64 (*.f64 -1/120 (pow.f64 y 5))))
(*.f64 -1/120 (pow.f64 y 5))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/120 (pow.f64 y 5))) 1))
(*.f64 -1/120 (pow.f64 y 5))
(log1p.f64 (expm1.f64 (*.f64 -1/120 (pow.f64 y 5))))
(*.f64 -1/120 (pow.f64 y 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1)
(*.f64 1/6 (pow.f64 y 3))
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)
(*.f64 1/6 (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3)
(*.f64 1/6 (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216))
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 y 3)))
(*.f64 1/6 (pow.f64 y 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/6 (pow.f64 y 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) 1/216))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))
(*.f64 1/6 (pow.f64 y 3))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))))
(*.f64 1/6 (pow.f64 y 3))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1))
(*.f64 1/6 (pow.f64 y 3))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))
(*.f64 1/6 (pow.f64 y 3))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 35 to 10 computations (71.4% saved)

series13.0ms (0.1%)

Counts
2 → 32
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@0
(sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))
2.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
1.0ms
z
@inf
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
1.0ms
z
@inf
(sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))

rewrite144.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1008×*-commutative
818×unswap-sqr
612×swap-sqr
444×associate-*r/
434×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
125338
2293338
Stop Event
node limit
Counts
2 → 210
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify197.0ms (2.1%)

Algorithm
egg-herbie
Rules
902×fma-def
872×associate-*r*
792×associate-+r-
784×associate-*l*
542×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061515822
1174313352
2753013352
Stop Event
node limit
Counts
242 → 354
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x))
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x
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x
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(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 z (sin.f64 y))))
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(sqrt.f64 x)
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (*.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y))))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) 1)
(*.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) 1/2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4)) (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4)) (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2) 1/6) (pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2) 1/6))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x))
(fma.f64 (+.f64 (+.f64 (/.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (*.f64 (*.f64 -1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) 2)))) (pow.f64 x 4) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x))
(fma.f64 (-.f64 (*.f64 (/.f64 -1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) 5/64) (+.f64 (/.f64 -1/16 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 -1/8 (/.f64 -1 (sqrt.f64 -1)))) 2))) (pow.f64 x 4) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x))
(fma.f64 (+.f64 (+.f64 (/.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (neg.f64 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (*.f64 (*.f64 -1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3)))) 2)))) (pow.f64 x 4) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x))
(fma.f64 (-.f64 (*.f64 (/.f64 -1 (pow.f64 (*.f64 z (sin.f64 y)) 3)) 5/64) (+.f64 (/.f64 -1/16 (pow.f64 (*.f64 z (sin.f64 y)) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 z (sin.f64 y)) 3))) (*.f64 -1/8 (/.f64 -1 (sqrt.f64 -1)))) 2))) (pow.f64 x 4) (fma.f64 z (neg.f64 (sin.f64 y)) x))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) x) 0) (*.f64 z z) x))
(-.f64 (fma.f64 (*.f64 z z) 0 x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 2)))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) x))) (pow.f64 z 2)) x)))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 x x)) 0) (pow.f64 z 3) (fma.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) x) 0) (*.f64 z z) x)))
(-.f64 (fma.f64 (pow.f64 z 3) 0 (fma.f64 (*.f64 z z) 0 x)) (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) x))
(fma.f64 (*.f64 (/.f64 (*.f64 z z) x) 0) (*.f64 y y) (fma.f64 -1 (*.f64 z y) x))
(fma.f64 (*.f64 y y) 0 (-.f64 x (*.f64 z y)))
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2)))))) (pow.f64 y 3)) x)))
(fma.f64 (*.f64 (/.f64 (*.f64 z z) x) 0) (*.f64 y y) (fma.f64 -1 (*.f64 z y) (fma.f64 (fma.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)) (neg.f64 (fma.f64 -1/6 z (*.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)))))) (pow.f64 y 3) x)))
(fma.f64 (*.f64 y y) 0 (-.f64 (fma.f64 (-.f64 (*.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x))) (fma.f64 1/8 (/.f64 (pow.f64 z 3) (*.f64 x x)) (*.f64 z -1/6))) (pow.f64 y 3) x) (*.f64 z y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)) x)
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(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x)) (cbrt.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) x))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (fma.f64 z (sin.f64 y) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (cbrt.f64 (fma.f64 x x (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) x)))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) x)) (cbrt.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))) (cbrt.f64 (fma.f64 z (sin.f64 y) x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2)
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1)
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) 2)
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 3)
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))
(sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x))

eval550.0ms (5.8%)

Compiler

Compiled 32275 to 14971 computations (53.6% saved)

prune254.0ms (2.7%)

Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New107451079
Fresh055
Picked011
Done2911
Total1076201096
Error
0b
Counts
1096 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
40.4b
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
55.1b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2)
49.5b
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2)) 2)
20.4b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
0.0b
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
57.5b
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
26.8b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
20.3b
(-.f64 x (*.f64 z (sin.f64 y)))
35.5b
(-.f64 x (*.f64 z y))
34.1b
(-.f64 1 (*.f64 z (sin.f64 y)))
45.1b
(-.f64 1 (*.f64 z y))
46.3b
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
51.6b
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
24.1b
(+.f64 1 x)
46.2b
(*.f64 (sin.f64 y) (neg.f64 z))
56.9b
(*.f64 z (neg.f64 y))
43.6b
(log1p.f64 (expm1.f64 (cos.f64 y)))
43.6b
(cos.f64 y)
36.7b
x
50.5b
1
Compiler

Compiled 199 to 148 computations (25.6% saved)

regimes75.0ms (0.8%)

Counts
36 → 1
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 1 (*.f64 z y))
(-.f64 x (*.f64 z y))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(cos.f64 y)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 1 (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 x (+.f64 1 (*.f64 y (*.f64 y -1/2)))) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
(+.f64 1 (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 z y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 y z))
(-.f64 (+.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2)) 2)
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) x) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

17.0ms
y
17.0ms
z
16.0ms
x
16.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 363 to 156 computations (57% saved)

regimes95.0ms (1%)

Counts
20 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 1 (*.f64 z y))
(-.f64 x (*.f64 z y))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(cos.f64 y)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 1 (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 x (+.f64 1 (*.f64 y (*.f64 y -1/2)))) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
Calls

3 calls:

34.0ms
x
28.0ms
y
28.0ms
z
Results
ErrorSegmentsBranch
0.0b3x
5.8b3y
4.5b3z
Compiler

Compiled 137 to 67 computations (51.1% saved)

bsearch75.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
1.7975920122706597e-16
1.5335639175382894e-11
40.0ms
-0.0027508137762450664
-1.4292278679879251e-18
Results
33.0ms212×body256valid
29.0ms67×body1024valid
8.0ms24×body512valid
1.0msbody2048valid
Compiler

Compiled 455 to 336 computations (26.2% saved)

regimes137.0ms (1.4%)

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

3 calls:

76.0ms
z
46.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
5.6b3x
7.3b1y
4.5b3z
Compiler

Compiled 130 to 66 computations (49.2% saved)

bsearch70.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
5.4055937958104345e-137
1.1183258452039361e-134
46.0ms
-9.213845788851385e-143
-5.136808123678392e-143
Results
41.0ms23×body1024valid
23.0ms141×body256valid
3.0ms12×body512valid
Compiler

Compiled 282 to 200 computations (29.1% saved)

regimes47.0ms (0.5%)

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

3 calls:

25.0ms
x
9.0ms
z
9.0ms
y
Results
ErrorSegmentsBranch
5.6b3x
7.3b1y
7.3b1z
Compiler

Compiled 98 to 53 computations (45.9% saved)

bsearch112.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
41.0ms
-2.1553596791513283e-296
-1.8268472309573586e-302
71.0ms
-1.0855375157873912e-154
-9.035239967248675e-168
Results
58.0ms190×body256valid
41.0ms89×body1024valid
7.0ms25×body512valid
Compiler

Compiled 360 to 279 computations (22.5% saved)

regimes97.0ms (1%)

Counts
15 → 5
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 1 (*.f64 z y))
(-.f64 x (*.f64 z y))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(cos.f64 y)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 1 (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 1 (*.f64 z (sin.f64 y)))
(cos.f64 y)
(-.f64 1 (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

46.0ms
x
24.0ms
z
24.0ms
y
Results
ErrorSegmentsBranch
6.9b5x
7.8b3y
10.7b3z
Compiler

Compiled 90 to 50 computations (44.4% saved)

bsearch147.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
1.5335639175382894e-11
158.0477458381971
37.0ms
-2.1553596791513283e-296
-1.8268472309573586e-302
42.0ms
-1.0855375157873912e-154
-9.035239967248675e-168
23.0ms
-201.28835915464242
-28.68012795997294
Results
59.0ms130×body1024valid
58.0ms364×body256valid
18.0ms61×body512valid
5.0msbody2048valid
Compiler

Compiled 642 to 500 computations (22.1% saved)

regimes100.0ms (1%)

Counts
14 → 5
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 1 (*.f64 z y))
(-.f64 x (*.f64 z y))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(cos.f64 y)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 1 (*.f64 z (sin.f64 y)))
Outputs
(+.f64 1 x)
(-.f64 1 (*.f64 z (sin.f64 y)))
(cos.f64 y)
(-.f64 1 (*.f64 z (sin.f64 y)))
(+.f64 1 x)
Calls

3 calls:

44.0ms
x
30.0ms
y
23.0ms
z
Results
ErrorSegmentsBranch
11.1b5x
14.9b4y
15.2b3z
Compiler

Compiled 84 to 49 computations (41.7% saved)

bsearch154.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.080622698606943e-52
4.903456464600457e-52
39.0ms
-2.1553596791513283e-296
-1.8268472309573586e-302
58.0ms
-1.0855375157873912e-154
-9.035239967248675e-168
36.0ms
-201.28835915464242
-28.68012795997294
Results
66.0ms308×body256valid
62.0ms115×body1024valid
19.0ms55×body512valid
1.0msbody2048valid
Compiler

Compiled 509 to 414 computations (18.7% saved)

regimes109.0ms (1.1%)

Counts
13 → 7
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 1 (*.f64 z y))
(-.f64 x (*.f64 z y))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(cos.f64 y)
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(+.f64 1 x)
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(cos.f64 y)
(+.f64 1 x)
Calls

3 calls:

50.0ms
y
34.0ms
x
21.0ms
z
Results
ErrorSegmentsBranch
16.1b5x
13.2b7y
16.3b3z
Compiler

Compiled 78 to 46 computations (41% saved)

bsearch167.0ms (1.8%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.3391040474108623e+120
4.0131439104224456e+120
30.0ms
1423331209.566676
1863856034408543200.0
19.0ms
-44401589491208.66
-4781373695392.623
20.0ms
-2.672752927375892e+42
-3.446032078336853e+41
38.0ms
-4.528702172619291e+91
-2.6486836416592633e+74
38.0ms
-1.6940674521139008e+177
-4.825115967199085e+175
Results
94.0ms523×body256valid
33.0ms98×body512valid
31.0ms67×body1024valid
Compiler

Compiled 850 to 668 computations (21.4% saved)

regimes80.0ms (0.8%)

Counts
11 → 5
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 1 (*.f64 z y))
(-.f64 x (*.f64 z y))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(cos.f64 y)
Outputs
(+.f64 1 x)
(cos.f64 y)
(-.f64 1 (*.f64 y z))
(cos.f64 y)
(+.f64 1 x)
Calls

3 calls:

32.0ms
x
26.0ms
y
20.0ms
z
Results
ErrorSegmentsBranch
16.1b5x
16.6b4y
19.8b3z
Compiler

Compiled 68 to 41 computations (39.7% saved)

bsearch136.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
39.0ms
1.7975920122706597e-16
1.5335639175382894e-11
21.0ms
2.080622698606943e-52
4.903456464600457e-52
35.0ms
2.1835028201883367e-296
3.474190506071369e-292
41.0ms
-0.0027508137762450664
-1.4292278679879251e-18
Results
61.0ms133×body1024valid
49.0ms321×body256valid
17.0ms55×body512valid
3.0msbody2048valid
Compiler

Compiled 460 to 378 computations (17.8% saved)

regimes54.0ms (0.6%)

Counts
10 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 1 (*.f64 z y))
(-.f64 x (*.f64 z y))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 x)
Calls

3 calls:

17.0ms
x
17.0ms
y
17.0ms
z
Results
ErrorSegmentsBranch
19.6b3x
18.1b3y
19.8b3z
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
0.0006054873749142162
74.24728578205735
9.0ms
-1.8729090190268274e+38
-1.4081484271774487e+38
Results
30.0ms192×body256valid
Compiler

Compiled 258 to 205 computations (20.5% saved)

regimes50.0ms (0.5%)

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

3 calls:

19.0ms
x
15.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
20.5b3x
22.6b3y
20.8b3z
Compiler

Compiled 46 to 29 computations (37% saved)

bsearch71.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
1.0788682386986563e-44
2.1469233919473485e-43
43.0ms
-0.0027508137762450664
-1.4292278679879251e-18
Results
29.0ms176×body256valid
27.0ms63×body1024valid
11.0ms33×body512valid
Compiler

Compiled 290 to 234 computations (19.3% saved)

regimes21.0ms (0.2%)

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

3 calls:

11.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
24.1b1x
24.1b1y
22.6b2z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
5.513447860186073e+192
1.599819831698992e+193
Results
9.0ms56×body256valid
7.0ms17×body1024valid
2.0msbody512valid
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes13.0ms (0.1%)

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

3 calls:

5.0ms
x
4.0ms
z
3.0ms
y
Results
ErrorSegmentsBranch
24.1b1x
24.1b1y
24.1b1z
Compiler

Compiled 20 to 15 computations (25% saved)

regimes33.0ms (0.3%)

Accuracy

Total -36.7b remaining (-144.4%)

Threshold costs -36.7b (-144.4%)

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

3 calls:

14.0ms
y
10.0ms
z
9.0ms
x
Results
ErrorSegmentsBranch
25.4b3x
33.7b5y
35.4b3z
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch86.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
1.5335639175382894e-11
158.0477458381971
38.0ms
-28.68012795997294
-0.0027508137762450664
Results
35.0ms80×body1024valid
30.0ms171×body256valid
12.0ms33×body512valid
5.0msbody2048valid
Compiler

Compiled 198 to 175 computations (11.6% saved)

simplify24.0ms (0.3%)

Algorithm
egg-herbie
Rules
42×+-commutative
20×*-commutative
18×cancel-sign-sub-inv
16×sub-neg
12×if-if-or-not
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121796
1174784
2199784
3206784
4209784
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -6769984589841923/19342813113834066795298816) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x 8239728901483491/158456325028528675187087900672) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -6809879278849565/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 3109721077501335/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x -4886469533914257/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x -966439829301981/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x -29) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x -6506440412005397/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (-.f64 1 (*.f64 z (sin.f64 y))) (if (<=.f64 x -5655053629744163/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (cos.f64 y) (if (<=.f64 x 4728779608739021/4503599627370496) (-.f64 1 (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))))
(if (<=.f64 x -29) (+.f64 1 x) (if (<=.f64 x -942947155616211/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (-.f64 1 (*.f64 z (sin.f64 y))) (if (<=.f64 x -966439829301981/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (cos.f64 y) (if (<=.f64 x 3235193600058077/6739986666787659948666753771754907668409286105635143120275902562304) (-.f64 1 (*.f64 z (sin.f64 y))) (+.f64 1 x)))))
(if (<=.f64 y -290000000000000013407488831959543725544524801404069270158539132735457139967555618006072715827152722736056740014534690297082652395317072031116930218659458485279284232397437009920) (+.f64 1 x) (if (<=.f64 y -26999999999999999020910369426861293148463994523612259532468324448315304312832) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -699999999999999984997247401451381441167360) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) (if (<=.f64 y -36000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 58000000000000000) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) (if (<=.f64 y 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (cos.f64 y) (+.f64 1 x)))))))
(if (<=.f64 x -2780529385113647/2417851639229258349412352) (+.f64 1 x) (if (<=.f64 x 3145962986009053/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (cos.f64 y) (if (<=.f64 x 3909192266736843/13479973333575319897333507543509815336818572211270286240551805124608) (-.f64 1 (*.f64 y z)) (if (<=.f64 x 4456584141427369/1237940039285380274899124224) (cos.f64 y) (+.f64 1 x)))))
(if (<=.f64 y -145000000000000003347087320028752642048) (+.f64 1 x) (if (<=.f64 y 7093169413108531/2251799813685248) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) (+.f64 1 x)))
(if (<=.f64 x -1662273001970115/302231454903657293676544) (+.f64 1 x) (if (<=.f64 x 8034690221294951/50216813883093446110686315385661331328818843555712276103168) (-.f64 1 (*.f64 y z)) (+.f64 1 x)))
(if (<=.f64 z 9199999999999999717795637038611350129149469629341253263698495916600868316924898551770558318121412661586395823545888903413369697008571357560529404779711529773458378965522712135368949064794112000) (+.f64 1 x) (*.f64 z (neg.f64 y)))
(+.f64 1 x)
(if (<=.f64 x -2206763817411543/2251799813685248) x (if (<=.f64 x 8106479329266893/9007199254740992) 1 x))
1
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -6769984589841923/19342813113834066795298816) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x 8239728901483491/158456325028528675187087900672) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 x -6769984589841923/19342813113834066795298816) (not (<=.f64 x 8239728901483491/158456325028528675187087900672))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(if (<=.f64 z -6809879278849565/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 3109721077501335/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -6809879278849565/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (not (<=.f64 z 3109721077501335/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z)))
(if (<=.f64 x -4886469533914257/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x -966439829301981/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 x -4886469533914257/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (not (<=.f64 x -966439829301981/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (cos.f64 y))
(if (<=.f64 x -29) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x -6506440412005397/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (-.f64 1 (*.f64 z (sin.f64 y))) (if (<=.f64 x -5655053629744163/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (cos.f64 y) (if (<=.f64 x 4728779608739021/4503599627370496) (-.f64 1 (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))))
(if (<=.f64 x -29) (+.f64 1 x) (if (<=.f64 x -942947155616211/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (-.f64 1 (*.f64 z (sin.f64 y))) (if (<=.f64 x -966439829301981/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (cos.f64 y) (if (<=.f64 x 3235193600058077/6739986666787659948666753771754907668409286105635143120275902562304) (-.f64 1 (*.f64 z (sin.f64 y))) (+.f64 1 x)))))
(if (<=.f64 x -29) (+.f64 x 1) (if (<=.f64 x -942947155616211/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (-.f64 1 (*.f64 z (sin.f64 y))) (if (<=.f64 x -966439829301981/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (cos.f64 y) (if (<=.f64 x 3235193600058077/6739986666787659948666753771754907668409286105635143120275902562304) (-.f64 1 (*.f64 z (sin.f64 y))) (+.f64 x 1)))))
(if (<=.f64 y -290000000000000013407488831959543725544524801404069270158539132735457139967555618006072715827152722736056740014534690297082652395317072031116930218659458485279284232397437009920) (+.f64 1 x) (if (<=.f64 y -26999999999999999020910369426861293148463994523612259532468324448315304312832) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -699999999999999984997247401451381441167360) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) (if (<=.f64 y -36000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 58000000000000000) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x)) (if (<=.f64 y 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (cos.f64 y) (+.f64 1 x)))))))
(if (<=.f64 y -290000000000000013407488831959543725544524801404069270158539132735457139967555618006072715827152722736056740014534690297082652395317072031116930218659458485279284232397437009920) (+.f64 x 1) (if (<=.f64 y -26999999999999999020910369426861293148463994523612259532468324448315304312832) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -699999999999999984997247401451381441167360) (+.f64 1 (+.f64 x (*.f64 z (neg.f64 y)))) (if (<=.f64 y -36000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 58000000000000000) (+.f64 1 (+.f64 x (*.f64 z (neg.f64 y)))) (if (<=.f64 y 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (cos.f64 y) (+.f64 x 1)))))))
(if (<=.f64 y -290000000000000013407488831959543725544524801404069270158539132735457139967555618006072715827152722736056740014534690297082652395317072031116930218659458485279284232397437009920) (+.f64 x 1) (if (<=.f64 y -26999999999999999020910369426861293148463994523612259532468324448315304312832) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y -699999999999999984997247401451381441167360) (+.f64 1 (-.f64 x (*.f64 y z))) (if (<=.f64 y -36000000000000) (*.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 58000000000000000) (+.f64 1 (-.f64 x (*.f64 y z))) (if (<=.f64 y 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (cos.f64 y) (+.f64 x 1)))))))
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(if (<=.f64 z 9199999999999999717795637038611350129149469629341253263698495916600868316924898551770558318121412661586395823545888903413369697008571357560529404779711529773458378965522712135368949064794112000) (+.f64 1 x) (*.f64 z (neg.f64 y)))
(if (<=.f64 z 9199999999999999717795637038611350129149469629341253263698495916600868316924898551770558318121412661586395823545888903413369697008571357560529404779711529773458378965522712135368949064794112000) (+.f64 x 1) (*.f64 z (neg.f64 y)))
(if (<=.f64 z 9199999999999999717795637038611350129149469629341253263698495916600868316924898551770558318121412661586395823545888903413369697008571357560529404779711529773458378965522712135368949064794112000) (+.f64 x 1) (*.f64 y (neg.f64 z)))
(+.f64 1 x)
(+.f64 x 1)
(if (<=.f64 x -2206763817411543/2251799813685248) x (if (<=.f64 x 8106479329266893/9007199254740992) 1 x))
1
Compiler

Compiled 350 to 229 computations (34.6% saved)

soundness0.0ms (0%)

end129.0ms (1.4%)

Compiler

Compiled 311 to 166 computations (46.6% saved)

Profiling

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