Details

Time bar (total: 9.7s)

analyze294.0ms (3%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (22.6%)

Results
1.1s6228×body256valid
661.0ms1292×body1024valid
373.0ms729×body512valid
5.0ms7×body2048valid
Bogosity

preprocess82.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 11 computations (26.7% saved)

simplify39.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
▶0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts
2 → 28
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 x (cos.f64 y))
1.0ms
z
@0
(*.f64 z (sin.f64 y))
1.0ms
y
@0
(*.f64 z (sin.f64 y))
0.0ms
z
@inf
(*.f64 z (sin.f64 y))
0.0ms
y
@-inf
(*.f64 z (sin.f64 y))

rewrite104.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
120422
2261122
Stop Event
1×node limit
Counts
2 → 102
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (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 -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.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 (sin.f64 y)) z))))) (#(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 cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 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 log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))))
((#(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 (cos.f64 y))) (-.f64 1 x))))) (#(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 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 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 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4)) (pow.f64 (*.f64 x (cos.f64 y)) 2))))))) (#(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 /.f64 (*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))) (sqrt.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 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(cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (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 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) (/.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 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (/.f64 1 (-.f64 x (cos.f64 y)))) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (/.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 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (*.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)) 1) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (-.f64 x (cos.f64 y)))) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 x (cos.f64 y))) (cbrt.f64 (-.f64 x (cos.f64 y))))) (cbrt.f64 (-.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 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) (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 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))) (+.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 neg.f64 (/.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 neg.f64 (/.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 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 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 x) (sqrt.f64 x) (cos.f64 y))))) (#(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 (pow.f64 (cbrt.f64 x) 2) (cbrt.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)))))

simplify76.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1692×associate-*r/
1354×associate-*l/
656×associate-/r/
518×+-commutative
514×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03254548
19134262
235984252
Stop Event
1×node limit
Counts
130 → 178
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 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.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 (sin.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (cos.f64 y)))
(-.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.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 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (/.f64 1 (neg.f64 (-.f64 x (cos.f64 y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (/.f64 1 (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) 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)))
(*.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 (pow.f64 x 4) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 2))) (-.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 (pow.f64 x 4) (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 x (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y))))) (*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (cos.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/6))
(/.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))))
(/.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))))
(/.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)))))
(/.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)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (cbrt.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))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))) (/.f64 (-.f64 x (cos.f64 y)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (*.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 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (*.f64 (-.f64 x (cos.f64 y)) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (*.f64 x (cos.f64 y)) 2))))
(/.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)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))) (sqrt.f64 (-.f64 x (cos.f64 y))))
(/.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)))))
(/.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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) 1) (-.f64 (cos.f64 y) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) 1) (neg.f64 (-.f64 x (cos.f64 y))))
(/.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)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2)) (cbrt.f64 (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) (/.f64 1 (-.f64 x (cos.f64 y)))) (+.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (cos.f64 y) 2) 3)) (/.f64 1 (-.f64 x (cos.f64 y)))) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (cos.f64 y) 4)) (pow.f64 (*.f64 x (cos.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (/.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 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) 1) (-.f64 x (cos.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (-.f64 x (cos.f64 y)))) (sqrt.f64 (-.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (cos.f64 y))) (cbrt.f64 (-.f64 x (cos.f64 y))))) (cbrt.f64 (-.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (sqrt.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)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))) (+.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y)))))
(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)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (neg.f64 (-.f64 x (cos.f64 y)))))
(neg.f64 (/.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))))))
(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))))
(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 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
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 (*.f64 1/120 (pow.f64 y 5)) z)))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.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 (*.f64 1/120 (pow.f64 y 5)) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (+.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)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.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 (*.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 (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 z (sin.f64 y)))) -1)
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))) (*.f64 z (sin.f64 y))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 z (sin.f64 y))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)
(+.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 x))
(+.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (cos.f64 y)))
(+.f64 (cos.f64 y) (expm1.f64 (log1p.f64 x)))
(-.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (cos.f64 y)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) (-.f64 1 x))
(+.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(-.f64 (+.f64 (cos.f64 y) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (cos.f64 y)))
(+.f64 (cos.f64 y) (expm1.f64 (log1p.f64 x)))
(*.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 (cos.f64 y) 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)))))
(/.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 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(+.f64 (cos.f64 y) x)
(*.f64 (/.f64 1 (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)))
(+.f64 (cos.f64 y) 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)))
(/.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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (/.f64 1 (neg.f64 (-.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (/.f64 1 (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 (-.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 (cos.f64 y) x)
(*.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 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.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 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (fma.f64 (cos.f64 y) (+.f64 (cos.f64 y) x) (*.f64 x 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 (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 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 2))) (-.f64 (*.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 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 2)) (-.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 x 4) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 2))) (fma.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 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 3) (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (neg.f64 (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 3) (pow.f64 x 6))) (fma.f64 (cos.f64 y) (*.f64 (-.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (neg.f64 (*.f64 x x)))) (pow.f64 x 4)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (*.f64 (-.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (neg.f64 (*.f64 x x)))) (pow.f64 x 4))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) 3) (pow.f64 x 6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 x (cos.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y))))) (*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (cbrt.f64 (+.f64 x (cos.f64 y))))))
(+.f64 (cos.f64 y) x)
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (cos.f64 y) 6) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) 1) (-.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (-.f64 x (cos.f64 y)))) (sqrt.f64 (-.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (cos.f64 y))) (cbrt.f64 (-.f64 x (cos.f64 y))))) (cbrt.f64 (-.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (+.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (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 (+.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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (sqrt.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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) (cbrt.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 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))) (+.f64 (cos.f64 y) x)) (+.f64 1 (exp.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 (cos.f64 y) x)))) (+.f64 1 (exp.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x))) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))) (+.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x (cos.f64 y))) x) (*.f64 (/.f64 x (-.f64 x (cos.f64 y))) x)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))) (+.f64 (*.f64 (/.f64 x (-.f64 x (cos.f64 y))) x) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y)))))
(/.f64 (fma.f64 (/.f64 x (-.f64 x (cos.f64 y))) x (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 (/.f64 x (-.f64 x (cos.f64 y))) x (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y)))) (+.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x (cos.f64 y))) x (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y)))) (fma.f64 (/.f64 x (-.f64 x (cos.f64 y))) x (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))) (+.f64 (cos.f64 y) 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)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (neg.f64 (-.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) x)
(neg.f64 (/.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))))
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(fabs.f64 (+.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)
(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 x) (sqrt.f64 x) (cos.f64 y))
(+.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 (pow.f64 (cbrt.f64 x) 2) (cbrt.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)

localize38.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (cos.f64 y))
✓0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Compiler

Compiled 25 to 8 computations (68% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite62.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify93.0ms (1%)

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

Useful iterations: 3 (0.0ms)

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

eval134.0ms (1.4%)

Compiler

Compiled 9692 to 3288 computations (66.1% saved)

prune84.0ms (0.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New39215407
Fresh000
Picked101
Done011
Total39316409
Error
0.0b
Counts
409 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
19.1b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
29.3b
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶0.3b
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
28.9b
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
20.8b
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
▶8.4b
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
▶27.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
19.1b
(-.f64 x (*.f64 z (sin.f64 y)))
29.4b
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
▶17.9b
(+.f64 (cos.f64 y) x)
23.7b
(+.f64 1 (-.f64 x (*.f64 y z)))
▶25.6b
(+.f64 1 x)
45.6b
(*.f64 (sin.f64 y) (neg.f64 z))
36.1b
x
Compiler

Compiled 338 to 241 computations (28.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
✓0.6b
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
✓7.2b
(cbrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite58.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1694×associate-+r+
1574×associate-+l+
1066×unswap-sqr
536×distribute-lft-neg-in
536×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01191035
12551035
28711035
333791035
Stop Event
1×node limit
Counts
73 → 62
Calls
Call 1
Inputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 1)
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)
(*.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(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))))
Outputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 1)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1/3))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 1 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

localize5.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 7
Calls

6 calls:

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

rewrite54.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1072×associate-*r*
956×associate-*l*
888×associate-+r+
594×associate-+l+
516×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051217
12661029
2959891
34650891
Stop Event
1×node limit
Counts
41 → 52
Calls
Call 1
Inputs
(+.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))))
(cos.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(*.f64 1 (+.f64 (cos.f64 y) x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.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 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.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 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 1))
(+.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 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(cos.f64 y)
x
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.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 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
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(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) x)) 1))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 1 x (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)
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(+.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 x (cos.f64 y))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 11 computations (54.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series2.0ms (0%)

Counts
1 → 16
Calls

6 calls:

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

rewrite82.0ms (0.8%)

Algorithm
1×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
1×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))))))))

simplify128.0ms (1.3%)

Algorithm
1×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
1×node limit
Counts
161 → 236
Calls
Call 1
Inputs
1
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(cos.f64 y)
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(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
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(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.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 (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)))

eval236.0ms (2.4%)

Compiler

Compiled 14898 to 5056 computations (66.1% saved)

prune155.0ms (1.6%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New57911590
Fresh4610
Picked011
Done145
Total58422606
Error
0b
Counts
606 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.1b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
37.9b
(/.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))))))
27.0b
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
32.6b
(-.f64 (+.f64 x 1) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
29.6b
(-.f64 (+.f64 x 1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓8.4b
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
23.7b
(-.f64 (+.f64 x 1) (*.f64 y z))
▶17.9b
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
✓27.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
19.4b
(-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
19.1b
(-.f64 x (*.f64 z (sin.f64 y)))
▶45.9b
(-.f64 1 (*.f64 y z))
29.4b
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
✓17.9b
(+.f64 (cos.f64 y) x)
▶17.9b
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
✓25.6b
(+.f64 1 x)
45.6b
(*.f64 (sin.f64 y) (neg.f64 z))
▶44.1b
(cos.f64 y)
36.1b
x
51.7b
1
Compiler

Compiled 426 to 302 computations (29.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (cos.f64 y) x)
✓0.2b
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
✓0.3b
(+.f64 1 (+.f64 (cos.f64 y) x))
Compiler

Compiled 26 to 12 computations (53.8% saved)

series1.0ms (0%)

Counts
2 → 31
Calls

12 calls:

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

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1436×associate-*l/
1116×distribute-lft-in
912×*-commutative
432×associate-+l+
318×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
122328
2316328
Stop Event
1×node limit
Counts
2 → 223
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) (-.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (+.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 1 (+.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2))) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3) (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 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simplify157.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1086×distribute-lft-in
1022×distribute-rgt-in
630×associate-/l*
580×+-commutative
566×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060713616
1188913278
Stop Event
1×node limit
Counts
254 → 391
Calls
Call 1
Inputs
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 2 (+.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 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 1 (cos.f64 y))
x
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)
(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 (+.f64 1 (+.f64 (cos.f64 y) x)) 0)
(-.f64 (+.f64 1 (cos.f64 y)) (-.f64 1 (+.f64 1 x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 1 (cos.f64 y))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) -1) 1) (+.f64 (cos.f64 y) (+.f64 x 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) -1) (sqrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2)))) (sqrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) -1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))) (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))))) (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(fma.f64 1 (cos.f64 y) x)
(fma.f64 1 x (cos.f64 y))
(fma.f64 1 (+.f64 1 (+.f64 (cos.f64 y) x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) -1)
(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 (+.f64 1 (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) -1)
(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
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.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 2 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 1 (cos.f64 y))
x
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.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)) 1)
(+.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 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) 1))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 0)
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(-.f64 (+.f64 1 (cos.f64 y)) (-.f64 1 (+.f64 1 x)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 1 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 0 (cos.f64 y)))
(+.f64 (cos.f64 y) (exp.f64 (log1p.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 1 (+.f64 (cos.f64 y) x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 1 (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 1 x) (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2))) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) (+.f64 x 2))) 1))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3) (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 3) (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2))) (/.f64 1 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3) -1) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (cos.f64 y) x) x)) 1))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))) (/.f64 1 (+.f64 (cos.f64 y) (+.f64 x 2))))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3) (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 3) (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2))) (/.f64 1 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3) -1) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y)))))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x))) (/.f64 x (/.f64 (-.f64 (cos.f64 y) x) x)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(-.f64 (+.f64 (+.f64 1 (cos.f64 y)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 0 (cos.f64 y)))
(+.f64 (cos.f64 y) (exp.f64 (log1p.f64 x)))
(*.f64 1 (+.f64 1 (+.f64 (cos.f64 y) x)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(*.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) 2))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (/.f64 1 (-.f64 1 (+.f64 (cos.f64 y) x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 1 (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 1 x) (cos.f64 y)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 1 (+.f64 (cos.f64 y) x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (/.f64 1 (+.f64 (-.f64 1 (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1)))))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 (cos.f64 y) x))) (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 1 (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 1 x) (cos.f64 y)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 1 (+.f64 (cos.f64 y) x)))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (/.f64 1 (+.f64 (-.f64 1 (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 1 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (+.f64 1 (+.f64 (cos.f64 y) x)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (+.f64 1 (+.f64 (+.f64 (cos.f64 y) x) (pow.f64 (+.f64 (cos.f64 y) x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3))) (+.f64 1 (+.f64 (+.f64 x (cos.f64 y)) (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (+.f64 1 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 (cos.f64 y) (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x))))) (+.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (+.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y)))))) (+.f64 (+.f64 x (cos.f64 y)) (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1))) (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1)))))) (+.f64 (+.f64 x (cos.f64 y)) (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x)) 3))) (-.f64 (+.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y))) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y)))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1))) (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1)))) (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1)))))) (+.f64 1 (pow.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) -1))) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1)) (+.f64 1 (+.f64 (cos.f64 y) x)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 1) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1)) (+.f64 1 (+.f64 (+.f64 (cos.f64 y) x) (pow.f64 (+.f64 (cos.f64 y) x) 2))))
(*.f64 (+.f64 1 (+.f64 (+.f64 x (cos.f64 y)) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) -1) (+.f64 1 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 (cos.f64 y) (+.f64 x 1))))))
(/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 y) x))))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 1 (+.f64 (cos.f64 y) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 1 (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 1 x) (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 1 (+.f64 (cos.f64 y) x))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2)) 1) (/.f64 1 (+.f64 (cos.f64 y) (+.f64 x 2)))) (+.f64 1 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 4) -1) (+.f64 (cos.f64 y) (+.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2)) (+.f64 x (cos.f64 y))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 3) 3) -1) (*.f64 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2)) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 3)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3) (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) 1) (-.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (sqrt.f64 (-.f64 (cos.f64 y) x))) (sqrt.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (*.f64 (sqrt.f64 (-.f64 (cos.f64 y) x)) (sqrt.f64 (-.f64 (cos.f64 y) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (cos.f64 y) x)) (cbrt.f64 (-.f64 (cos.f64 y) x)))) (cbrt.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (cos.f64 y) x)) (*.f64 (cbrt.f64 (-.f64 (cos.f64 y) x)) (cbrt.f64 (-.f64 (cos.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (*.f64 (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) -1) 1) (+.f64 (cos.f64 y) (+.f64 x 2)))
(+.f64 x (cos.f64 y))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) -1) (sqrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2)))) (sqrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2) -1) (*.f64 (sqrt.f64 (+.f64 (cos.f64 y) (+.f64 2 x))) (sqrt.f64 (+.f64 (cos.f64 y) (+.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) -1) (*.f64 (sqrt.f64 (+.f64 x (+.f64 2 (cos.f64 y)))) (sqrt.f64 (+.f64 x (+.f64 2 (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) -1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))) (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))))) (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 2 x))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 2 x))) (cbrt.f64 (+.f64 (cos.f64 y) (+.f64 2 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) -1) (*.f64 (cbrt.f64 (+.f64 x (+.f64 2 (cos.f64 y)))) (*.f64 (cbrt.f64 (+.f64 x (+.f64 2 (cos.f64 y)))) (cbrt.f64 (+.f64 x (+.f64 2 (cos.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2))))
(*.f64 (/.f64 1 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 3) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3) -1) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 3) -1) (*.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2))) (sqrt.f64 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3) -1) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y)))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y))))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 2) (+.f64 (cos.f64 y) (+.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 3) -1) (*.f64 (cbrt.f64 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2))) (*.f64 (cbrt.f64 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2))) (cbrt.f64 (+.f64 (+.f64 (cos.f64 y) (+.f64 2 x)) (pow.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 3) -1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y)))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 x (+.f64 2 (cos.f64 y)))))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)
(+.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)
(+.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)
(+.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) x))))
(+.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))
(+.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(fma.f64 1 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(fma.f64 1 x (cos.f64 y))
(+.f64 x (cos.f64 y))
(fma.f64 1 (+.f64 1 (+.f64 (cos.f64 y) x)) -1)
(+.f64 x (cos.f64 y))
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) -1)
(+.f64 x (cos.f64 y))
(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 (+.f64 1 (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 y) x))) -1)
(+.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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 7 computations (50% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.5%)

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

simplify88.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1108×div-sub
902×distribute-lft-in
732×distribute-rgt-in
646×associate-/l/
582×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0781039
1208959
2922939
33057939
Stop Event
1×node limit
Counts
53 → 40
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 y (neg.f64 z)))
(+.f64 1 (*.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (*.f64 y (neg.f64 z)) 1)
(*.f64 1 (-.f64 1 (*.f64 y z)))
(*.f64 (-.f64 1 (*.f64 y z)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) (sqrt.f64 (-.f64 1 (*.f64 y z))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2) (cbrt.f64 (-.f64 1 (*.f64 y z))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 y z)) (-.f64 1 (pow.f64 (*.f64 y z) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))) (-.f64 1 (pow.f64 (*.f64 y z) 3))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (+.f64 1 (*.f64 y z)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 1 (*.f64 y (neg.f64 z))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 1 (*.f64 y z))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(pow.f64 (-.f64 1 (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 y z))))
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 y (neg.f64 z))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 y z))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 y (neg.f64 z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 (*.f64 y (neg.f64 z)) 1))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 (*.f64 y (neg.f64 z)) 1)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 1 (-.f64 1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (-.f64 1 (*.f64 y z)) 1)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) (sqrt.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2) (cbrt.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.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 y z) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 y z)) (-.f64 1 (pow.f64 (*.f64 y z) 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 y z) (pow.f64 (*.f64 y z) 2))) (-.f64 1 (pow.f64 (*.f64 y z) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (+.f64 1 (*.f64 y z)))
(*.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 y z) 3)) (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 (-.f64 1 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 1 (*.f64 y (neg.f64 z))))
(*.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 y (neg.f64 z)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 1 (*.f64 y z))))
(*.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 y z) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(pow.f64 (-.f64 1 (*.f64 y z)) 1)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) 2)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 3)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3) 1/3)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 2))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(log.f64 (exp.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 y (neg.f64 z))) 1))
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (cos.f64 y))
✓0.2b
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
✓3.1b
(-.f64 (+.f64 x (cos.f64 y)) 1)
Compiler

Compiled 26 to 12 computations (53.8% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite85.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
122328
2316228
Stop Event
1×node limit
Counts
2 → 229
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
Outputs
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simplify153.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1096×associate-+r-
764×distribute-lft-in
690×distribute-rgt-in
560×associate-*r*
534×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061112845
1174012263
2797212251
Stop Event
1×node limit
Counts
277 → 371
Calls
Call 1
Inputs
(-.f64 (cos.f64 y) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
x
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)
(+.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 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(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 x (+.f64 (cos.f64 y) -1))
(+.f64 x (+.f64 (+.f64 (cos.f64 y) 0) -1))
(+.f64 x (-.f64 (+.f64 (cos.f64 y) 0) 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(+.f64 (+.f64 x (cos.f64 y)) -1)
(+.f64 1 (+.f64 (+.f64 x (cos.f64 y)) -2))
(+.f64 1 (+.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) -1))
(+.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 0)
(+.f64 0 (+.f64 x (+.f64 (cos.f64 y) -1)))
(+.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) -2)
(+.f64 (+.f64 (cos.f64 y) -1) x)
(+.f64 -1 (+.f64 x (cos.f64 y)))
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(/.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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (sqrt.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)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) (cbrt.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))))
(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 1 (+.f64 x (+.f64 (cos.f64 y) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 1)
(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 (+.f64 x (+.f64 (cos.f64 y) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 1)
(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
(-.f64 (cos.f64 y) 1)
(+.f64 (cos.f64 y) -1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
x
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)
(fma.f64 -1/2 (*.f64 y y) x)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.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) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(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 (fma.f64 -1/2 (*.f64 y y) x))
(+.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 (*.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 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.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 x (+.f64 (cos.f64 y) -1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 x (+.f64 (+.f64 (cos.f64 y) 0) -1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 x (-.f64 (+.f64 (cos.f64 y) 0) 1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 x (cos.f64 y)) -1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 1 (+.f64 (+.f64 x (cos.f64 y)) -2))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 1 (+.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) -1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 0)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 0 (+.f64 x (+.f64 (cos.f64 y) -1)))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) -2)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 (cos.f64 y) -1) x)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 -1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 x 1) (+.f64 (+.f64 (cos.f64 y) -1) -1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 x -1) (cos.f64 y))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 x -1) (+.f64 (cos.f64 y) 0))
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 (+.f64 x (cos.f64 y)) -2) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (+.f64 -1 (+.f64 x 1)) (+.f64 (cos.f64 y) -1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 1 (+.f64 x (+.f64 (cos.f64 y) -1)))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 2))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (/.f64 1 (+.f64 x (+.f64 (cos.f64 y) 1))))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (/.f64 1 (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 x (cos.f64 y)) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x (cos.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 1) (+.f64 1 (sqrt.f64 (+.f64 x (cos.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (cos.f64 y) 1))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 x (cos.f64 y)) 2)))) (+.f64 -1 (pow.f64 (+.f64 x (cos.f64 y)) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1)) (+.f64 x (+.f64 (cos.f64 y) -1)))
(+.f64 (cos.f64 y) (-.f64 x 1))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (-.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 2))) (-.f64 (-.f64 1 x) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 (-.f64 1 x) (cos.f64 y))) (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (-.f64 1 (+.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (+.f64 1 (pow.f64 (+.f64 x (cos.f64 y)) 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (cos.f64 y)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) (+.f64 (cos.f64 y) x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 x (+.f64 (cos.f64 y) 1))))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (+.f64 (cos.f64 y) 1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (*.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 x (+.f64 (cos.f64 y) 1))))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 x (+.f64 (cos.f64 y) 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (*.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (+.f64 (cos.f64 y) (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (cos.f64 y) (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (*.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (+.f64 (cos.f64 y) (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (-.f64 (-.f64 -1 (cos.f64 y)) x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 x (+.f64 (cos.f64 y) 1)))) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 x (+.f64 (cos.f64 y) 1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) 3) (pow.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) 3))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (-.f64 (*.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 x (+.f64 (cos.f64 y) 1))) (*.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) 3) (pow.f64 (+.f64 (cos.f64 y) x) 6))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) (*.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (-.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 (cos.f64 y) -1))))
(+.f64 (cos.f64 y) (-.f64 x 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 x (cos.f64 y)) -1))) (+.f64 -1 (pow.f64 (+.f64 x (cos.f64 y)) 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(/.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (/.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (+.f64 x (+.f64 (cos.f64 y) -1))))
(+.f64 (cos.f64 y) (-.f64 x 1))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1) (+.f64 x (+.f64 (cos.f64 y) 1)))
(+.f64 (cos.f64 y) (-.f64 x 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 x (cos.f64 y)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 x (cos.f64 y)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (/.f64 1 (+.f64 x (+.f64 (+.f64 (cos.f64 y) 1) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 3)) (+.f64 (+.f64 (cos.f64 y) (+.f64 1 x)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1)) (/.f64 (+.f64 x (+.f64 (cos.f64 y) 1)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) -1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (+.f64 x (+.f64 (cos.f64 y) 1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (+.f64 (cos.f64 y) (+.f64 1 x))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 6)) (/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 6)) (*.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 2 (+.f64 x (cos.f64 y)))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3) (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3) 3)) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 6)) (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 6) (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3))) (/.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 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (/.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 (pow.f64 x 6) (pow.f64 (cos.f64 y) 6)) (*.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 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 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 x 3)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3))) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (cos.f64 y) 6) (*.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 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)) (*.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (cos.f64 y) 3) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) 1) (-.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)) 1) (-.f64 2 (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2)) (-.f64 (-.f64 2 x) (cos.f64 y)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)) (sqrt.f64 (-.f64 2 (+.f64 x (cos.f64 y))))) (sqrt.f64 (-.f64 2 (+.f64 x (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2)) (-.f64 (-.f64 2 x) (cos.f64 y)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)) (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x (cos.f64 y)))) (cbrt.f64 (-.f64 2 (+.f64 x (cos.f64 y)))))) (cbrt.f64 (-.f64 2 (+.f64 x (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2)) (-.f64 (-.f64 2 x) (cos.f64 y)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (-.f64 x (cos.f64 y)))) (sqrt.f64 (-.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (-.f64 x (cos.f64 y))) (cbrt.f64 (-.f64 x (cos.f64 y))))) (cbrt.f64 (-.f64 x (cos.f64 y))))
(+.f64 (cos.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (+.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 2 (+.f64 x (cos.f64 y)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 2 (+.f64 x (cos.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 2 (+.f64 x (cos.f64 y))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 2 (+.f64 x (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 2 (+.f64 x (cos.f64 y))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 2 (+.f64 x (cos.f64 y))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 x) (cos.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) (-.f64 x 1)) 2) (-.f64 (-.f64 2 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)) (/.f64 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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))) (sqrt.f64 (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 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 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))) (cbrt.f64 (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 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))))
(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))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))
(fabs.f64 (+.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)
(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 1 (+.f64 x (+.f64 (cos.f64 y) -1)) 1)
(+.f64 (cos.f64 y) x)
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 1)
(+.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 (+.f64 x (+.f64 (cos.f64 y) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 1)
(+.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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
Compiler

Compiled 16 to 6 computations (62.5% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite50.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1574×add-sqr-sqrt
1562×*-un-lft-identity
1440×add-cube-cbrt
1422×add-cbrt-cube
1404×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
117913
2217613
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sin.f64 y) z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1218×associate-*r*
1000×associate-*l*
916×times-frac
622×associate-/l*
552×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0781006
1211948
2837928
33769924
Stop Event
1×node limit
Counts
58 → 48
Calls
Call 1
Inputs
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)
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)
(*.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)
(+.f64 x (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) x)
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) x)
(-.f64 (+.f64 1 (fma.f64 (sin.f64 y) z x)) 1)
(*.f64 (fma.f64 (sin.f64 y) z x) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z x))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) x))))
(pow.f64 (fma.f64 (sin.f64 y) z x) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 y z))
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x)
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) 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 y z) (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 y z))
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) (-.f64 x (*.f64 y z)))
(+.f64 x (*.f64 z (-.f64 (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.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)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.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)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.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)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 (sin.f64 y) z) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) x)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(-.f64 (+.f64 1 (fma.f64 (sin.f64 y) z x)) 1)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(*.f64 (fma.f64 (sin.f64 y) z x) 1)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(*.f64 1 (fma.f64 (sin.f64 y) z x))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)) (*.f64 x (-.f64 x (*.f64 z (sin.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 z z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (sin.f64 y) (*.f64 z (fma.f64 z (sin.f64 y) (neg.f64 x))))))
(pow.f64 (fma.f64 (sin.f64 y) z x) 1)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z x)) 1))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))
(fma.f64 (sin.f64 y) z x)
(fma.f64 z (sin.f64 y) x)

eval488.0ms (5%)

Compiler

Compiled 25414 to 13615 computations (46.4% saved)

prune490.0ms (5%)

Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New104361049
Fresh01212
Picked011
Done279
Total1045261071
Error
0b
Counts
1071 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.1b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
37.9b
(/.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))))))
27.0b
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
32.6b
(-.f64 (+.f64 x 1) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
29.6b
(-.f64 (+.f64 x 1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓8.4b
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
23.7b
(-.f64 (+.f64 x 1) (*.f64 y z))
▶44.2b
(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓27.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶19.4b
(-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
19.1b
(-.f64 x (*.f64 z (sin.f64 y)))
34.1b
(-.f64 x (*.f64 y z))
▶35.6b
(-.f64 x 1)
✓45.9b
(-.f64 1 (*.f64 y z))
▶29.4b
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
✓17.9b
(+.f64 (cos.f64 y) x)
44.2b
(+.f64 1 (-.f64 (cos.f64 y) 1))
▶18.0b
(+.f64 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))
✓25.6b
(+.f64 1 x)
45.6b
(*.f64 (sin.f64 y) (neg.f64 z))
56.3b
(*.f64 y (neg.f64 z))
✓44.1b
(cos.f64 y)
36.1b
x
51.7b
1
Compiler

Compiled 468 to 338 computations (27.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (+.f64 (cos.f64 y) -1) 1)
✓0.2b
(+.f64 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))
✓2.0b
(+.f64 (cos.f64 y) -1)
✓3.2b
(+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1))
Compiler

Compiled 44 to 30 computations (31.8% saved)

series3.0ms (0%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1))
0.0ms
y
@0
(+.f64 (cos.f64 y) -1)
0.0ms
x
@inf
(+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1))
0.0ms
y
@0
(-.f64 (+.f64 (cos.f64 y) -1) 1)
0.0ms
y
@0
(+.f64 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))

rewrite150.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
740×associate-+l+
664×associate-/r*
548×associate-+r+
480×associate--r+
474×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01374
130456
2445550
Stop Event
1×node limit
Counts
4 → 284
Calls
Call 1
Inputs
(+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1))
(+.f64 (cos.f64 y) -1)
(+.f64 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))
(-.f64 (+.f64 (cos.f64 y) -1) 1)
Outputs
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/.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (sqrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 y) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cos.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) (sqrt.f64 (+.f64 (cos.f64 y) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) -1)) -1)))))

simplify140.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
758×distribute-lft-in
718×+-commutative
700×fma-def
696×distribute-rgt-in
664×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071413616
1183813176
Stop Event
1×node limit
Counts
356 → 438
Calls
Call 1
Inputs
(-.f64 (cos.f64 y) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
x
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)
(+.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 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/40320 (pow.f64 y 8)) (*.f64 1/24 (pow.f64 y 4)))))
(-.f64 (cos.f64 y) 1)
(-.f64 (cos.f64 y) 1)
(-.f64 (cos.f64 y) 1)
(-.f64 (cos.f64 y) 1)
(-.f64 (cos.f64 y) 1)
(-.f64 (cos.f64 y) 1)
(-.f64 (cos.f64 y) 1)
(-.f64 (cos.f64 y) 1)
(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)
-1
(-.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))) 1)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) 1)
(-.f64 (cos.f64 y) 2)
(-.f64 (cos.f64 y) 2)
(-.f64 (cos.f64 y) 2)
(-.f64 (cos.f64 y) 2)
(-.f64 (cos.f64 y) 2)
(-.f64 (cos.f64 y) 2)
(-.f64 (cos.f64 y) 2)
(-.f64 (cos.f64 y) 2)
(-.f64 (+.f64 x 1) (-.f64 2 (cos.f64 y)))
(-.f64 (cos.f64 y) (-.f64 1 x))
(-.f64 (cos.f64 y) (+.f64 1 (-.f64 0 x)))
(-.f64 (+.f64 (cos.f64 y) -1) (-.f64 0 x))
(-.f64 (+.f64 x (cos.f64 y)) 1)
(-.f64 (+.f64 x 2) (-.f64 3 (cos.f64 y)))
(-.f64 (+.f64 1 (cos.f64 y)) (-.f64 1 (+.f64 x -1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 2)
(-.f64 (/.f64 1 (-.f64 (-.f64 2 (cos.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 (-.f64 2 (cos.f64 y)) x)) -1))
(-.f64 (/.f64 1 (-.f64 (-.f64 2 (cos.f64 y)) x)) (+.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) (-.f64 (-.f64 2 (cos.f64 y)) x)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (cos.f64 y)) (-.f64 (/.f64 1 (cos.f64 y)) (+.f64 x 1)))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 3) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (-.f64 (/.f64 1 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (+.f64 x 1)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (cos.f64 y) -2)))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (cos.f64 y))) (-.f64 (/.f64 1 (+.f64 1 (cos.f64 y))) x))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (cos.f64 y))) (+.f64 (/.f64 1 (+.f64 1 (cos.f64 y))) (-.f64 0 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 3 (cos.f64 y)))) (/.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 2) (+.f64 x (-.f64 3 (cos.f64 y)))))
(-.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 2)
(-.f64 (+.f64 x (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 1 (cos.f64 y)))) (/.f64 1 (+.f64 1 (cos.f64 y))))
(-.f64 (+.f64 (+.f64 x 1) (/.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (cos.f64 y))) (/.f64 1 (cos.f64 y)))
(-.f64 (+.f64 (+.f64 x 1) (/.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 3) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))) (/.f64 1 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(-.f64 (+.f64 (+.f64 (cos.f64 y) -2) (/.f64 (*.f64 x x) (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))
(*.f64 1 (+.f64 x (+.f64 (cos.f64 y) -1)))
(*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 1)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -2) 2)) (/.f64 1 (+.f64 x (-.f64 3 (cos.f64 y)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (cos.f64 y) (-.f64 -2 (+.f64 x 1)))))))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 (cos.f64 y) -1))))
(/.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (/.f64 (+.f64 x (-.f64 3 (cos.f64 y))) (+.f64 x (-.f64 3 (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -2) 2)) (+.f64 x (-.f64 3 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -2) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (cos.f64 y) (-.f64 -2 (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (cos.f64 y) (-.f64 -2 (+.f64 x 1))))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (cos.f64 y) (-.f64 -2 (+.f64 x 1))))) (+.f64 x (+.f64 (cos.f64 y) -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -2) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (cos.f64 y) (-.f64 -2 (+.f64 x 1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -2) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -2) 2))) (/.f64 (+.f64 x (-.f64 3 (cos.f64 y))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -2) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -2) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 (cos.f64 y) -2) (+.f64 (cos.f64 y) (-.f64 -2 (+.f64 x 1))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -2) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -2) 2)))) (/.f64 (+.f64 x (-.f64 3 (cos.f64 y))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -2) 2)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (+.f64 x (-.f64 1 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 2) (pow.f64 (+.f64 x 1) 2)) (+.f64 (cos.f64 y) (-.f64 -2 (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1) (+.f64 1 (+.f64 x (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (*.f64 x (+.f64 (cos.f64 y) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (+.f64 1 (+.f64 x (cos.f64 y)))))
(/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (cos.f64 y)) (*.f64 (+.f64 x -1) (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (*.f64 (+.f64 x -1) (cos.f64 y)))
(/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (*.f64 (+.f64 x -1) (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (*.f64 (+.f64 x -1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (cos.f64 y)) (*.f64 (fma.f64 x x (-.f64 1 x)) (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (cos.f64 y)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (+.f64 x -1)) (*.f64 (cos.f64 y) (fma.f64 x x -1))) (*.f64 (cos.f64 y) (+.f64 x -1)))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (fma.f64 x x (-.f64 1 x))) (*.f64 (cos.f64 y) (+.f64 1 (pow.f64 x 3)))) (*.f64 (cos.f64 y) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 x -1)) (*.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (fma.f64 x x -1))) (*.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (+.f64 x -1)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (fma.f64 x x (-.f64 1 x))) (*.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (fma.f64 x x (-.f64 1 x))))
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(/.f64 1 (/.f64 1 (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)) (-.f64 (-.f64 2 (cos.f64 y)) x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2))) (/.f64 (-.f64 (-.f64 2 (cos.f64 y)) x) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)))) (/.f64 (-.f64 (-.f64 2 (cos.f64 y)) x) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (-.f64 (+.f64 x 2) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2) 1) (+.f64 (cos.f64 y) (+.f64 -2 x)))
(/.f64 (-.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (pow.f64 (+.f64 (cos.f64 y) -2) 2)) (+.f64 (+.f64 x 1) (-.f64 3 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (*.f64 (+.f64 x 1) (+.f64 (cos.f64 y) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 3) (pow.f64 (+.f64 x 2) 3)) (+.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 2) (*.f64 (+.f64 x 2) (+.f64 (cos.f64 y) -2)))))
(/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (cos.f64 y))) (*.f64 (+.f64 x -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1))) (*.f64 (+.f64 x -1) (+.f64 1 (cos.f64 y))))
(/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1)))) (*.f64 (+.f64 x -1) (+.f64 -1 (pow.f64 (cos.f64 y) 3)))) (*.f64 (+.f64 x -1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (cos.f64 y))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 (cos.f64 y) (cos.f64 y) -1))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (cos.f64 y))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 -1 (pow.f64 (cos.f64 y) 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2))) (neg.f64 (-.f64 (-.f64 2 (cos.f64 y)) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)) 1) (-.f64 (-.f64 2 (cos.f64 y)) x))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)) (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 y)) x))) (sqrt.f64 (-.f64 (-.f64 2 (cos.f64 y)) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 y)) x)) (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 y)) x)))) (cbrt.f64 (-.f64 (-.f64 2 (cos.f64 y)) x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) 1) (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x)))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x))))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) (+.f64 -2 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (cos.f64 y))) (*.f64 (+.f64 x -1) (fma.f64 (cos.f64 y) (cos.f64 y) -1))) (+.f64 x -1)) (+.f64 1 (cos.f64 y)))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1)))) (*.f64 (+.f64 x -1) (+.f64 -1 (pow.f64 (cos.f64 y) 3)))) (+.f64 x -1)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (cos.f64 y))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 (cos.f64 y) (cos.f64 y) -1))) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (cos.f64 y)))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 -1 (pow.f64 (cos.f64 y) 3)))) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) -1))))
(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 (exp.f64 (+.f64 x 1)) (exp.f64 (+.f64 (cos.f64 y) -1))))
(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 (+.f64 x 1) (+.f64 (cos.f64 y) -1))
(fma.f64 1 (+.f64 x (+.f64 (cos.f64 y) -1)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (+.f64 (cos.f64 y) -1))
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) (sqrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 (cos.f64 y) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 1)
(+.f64 1 (+.f64 (+.f64 (cos.f64 y) -2) -1))
(+.f64 1 (-.f64 (+.f64 (cos.f64 y) -2) 1))
(+.f64 (cos.f64 y) -2)
(+.f64 -1 (+.f64 (cos.f64 y) -1))
(+.f64 (+.f64 (cos.f64 y) -1) -1)
(+.f64 (+.f64 (cos.f64 y) -2) 0)
(+.f64 0 (+.f64 (cos.f64 y) -2))
(+.f64 -2 (cos.f64 y))
(+.f64 (+.f64 1 (cos.f64 y)) -3)
(+.f64 (+.f64 -1 (+.f64 (cos.f64 y) -2)) 1)
(*.f64 1 (+.f64 (cos.f64 y) -2))
(*.f64 (+.f64 (cos.f64 y) -2) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) -2)) (sqrt.f64 (+.f64 (cos.f64 y) -2)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) 2) (cbrt.f64 (+.f64 (cos.f64 y) -2)))
(*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (/.f64 1 (cos.f64 y)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (/.f64 1 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (cos.f64 y) -1))) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) 1))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 y) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))) (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))))
(/.f64 (cos.f64 y) (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))
(/.f64 (+.f64 (cos.f64 y) -2) 1)
(/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (cos.f64 y))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (/.f64 (cos.f64 y) (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (/.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (/.f64 (cos.f64 y) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (/.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 4) (-.f64 (cos.f64 y) -2))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) -8) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) -2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (neg.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) 1) (cos.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (sqrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(pow.f64 (+.f64 (cos.f64 y) -2) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) -2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) -2))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 3))
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) -1)))
(exp.f64 (log.f64 (+.f64 (cos.f64 y) -2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) -2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) -2)))
(fma.f64 1 (cos.f64 y) -2)
(fma.f64 1 (+.f64 (cos.f64 y) -1) -1)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) -2)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) (sqrt.f64 (+.f64 (cos.f64 y) -1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) -1)) -1)
Outputs
(-.f64 (cos.f64 y) 1)
(+.f64 (cos.f64 y) -1)
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
x
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
x
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)
(fma.f64 -1/2 (*.f64 y y) x)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.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) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(-.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (cos.f64 y) (-.f64 x 1))
(+.f64 (cos.f64 y) (+.f64 x -1))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (cos.f64 y) -1))) 1)
(+.f64 (cos.f64 y) x)
(+.f64 1 (+.f64 (+.f64 (cos.f64 y) -2) -1))
(+.f64 (cos.f64 y) -2)
(+.f64 1 (-.f64 (+.f64 (cos.f64 y) -2) 1))
(+.f64 (cos.f64 y) -2)
(+.f64 (cos.f64 y) -2)
(+.f64 -1 (+.f64 (cos.f64 y) -1))
(+.f64 (cos.f64 y) -2)
(+.f64 (+.f64 (cos.f64 y) -1) -1)
(+.f64 (cos.f64 y) -2)
(+.f64 (+.f64 (cos.f64 y) -2) 0)
(+.f64 (cos.f64 y) -2)
(+.f64 0 (+.f64 (cos.f64 y) -2))
(+.f64 (cos.f64 y) -2)
(+.f64 -2 (cos.f64 y))
(+.f64 (cos.f64 y) -2)
(+.f64 (+.f64 1 (cos.f64 y)) -3)
(+.f64 (cos.f64 y) -2)
(+.f64 (+.f64 -1 (+.f64 (cos.f64 y) -2)) 1)
(+.f64 (cos.f64 y) -2)
(*.f64 1 (+.f64 (cos.f64 y) -2))
(+.f64 (cos.f64 y) -2)
(*.f64 (+.f64 (cos.f64 y) -2) 1)
(+.f64 (cos.f64 y) -2)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 y) -2)) (sqrt.f64 (+.f64 (cos.f64 y) -2)))
(+.f64 (cos.f64 y) -2)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) 2))
(+.f64 (cos.f64 y) -2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) 2) (cbrt.f64 (+.f64 (cos.f64 y) -2)))
(+.f64 (cos.f64 y) -2)
(*.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (/.f64 1 (cos.f64 y)))
(+.f64 (cos.f64 y) -2)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (/.f64 1 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (cos.f64 y) -1))) (-.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) 1))
(+.f64 (cos.f64 y) -2)
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 y) -2)))
(+.f64 (cos.f64 y) -2)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))) (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (cos.f64 y) (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))
(+.f64 (cos.f64 y) -2)
(/.f64 (+.f64 (cos.f64 y) -2) 1)
(+.f64 (cos.f64 y) -2)
(/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (cos.f64 y))
(+.f64 (cos.f64 y) -2)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (/.f64 (cos.f64 y) (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (sqrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (cos.f64 y))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (/.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (/.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))) (/.f64 (cos.f64 y) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)))))
(/.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (/.f64 (cos.f64 y) (*.f64 (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (cbrt.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (/.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) -1) 2) (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)))) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 4) (-.f64 (cos.f64 y) -2))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) -4) (+.f64 (cos.f64 y) 2))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) -8) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 4 (*.f64 (cos.f64 y) -2))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) -8) (+.f64 (+.f64 4 (pow.f64 (cos.f64 y) 2)) (*.f64 (cos.f64 y) 2)))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2))) (neg.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) -2)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3))) (neg.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (-.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) 1) (cos.f64 y))
(+.f64 (cos.f64 y) -2)
(/.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) -2)
(/.f64 (/.f64 (*.f64 (cos.f64 y) (+.f64 (cos.f64 y) -2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 (cos.f64 y) -2)
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (sqrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))) (sqrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) 1) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 (cos.f64 y) (pow.f64 (+.f64 (cos.f64 y) -1) 2)))
(pow.f64 (+.f64 (cos.f64 y) -2) 1)
(+.f64 (cos.f64 y) -2)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) -2)) 2)
(+.f64 (cos.f64 y) -2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -2)) 3)
(+.f64 (cos.f64 y) -2)
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 3) 1/3)
(+.f64 (cos.f64 y) -2)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 2))
(fabs.f64 (+.f64 (cos.f64 y) -2))
(log.f64 (exp.f64 (+.f64 (cos.f64 y) -2)))
(+.f64 (cos.f64 y) -2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 y) -2))))
(+.f64 (cos.f64 y) -2)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) -2) 3))
(+.f64 (cos.f64 y) -2)
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) -1)))
(+.f64 (cos.f64 y) -2)
(exp.f64 (log.f64 (+.f64 (cos.f64 y) -2)))
(+.f64 (cos.f64 y) -2)
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) -2)) 1))
(+.f64 (cos.f64 y) -2)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) -2)))
(+.f64 (cos.f64 y) -2)
(fma.f64 1 (cos.f64 y) -2)
(+.f64 (cos.f64 y) -2)
(fma.f64 1 (+.f64 (cos.f64 y) -1) -1)
(+.f64 (cos.f64 y) -2)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) -2)
(+.f64 (cos.f64 y) -2)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 y) -1)) (sqrt.f64 (+.f64 (cos.f64 y) -1)) -1)
(+.f64 (cos.f64 y) -2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) -2)
(+.f64 (cos.f64 y) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 y) -1)) -1)
(+.f64 (cos.f64 y) -2)

localize4.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
✓0.0b
(*.f64 y (-.f64 (*.f64 y -1/2) z))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
z
@0
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
0.0ms
y
@inf
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0ms
y
@0
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0ms
y
@-inf
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0ms
x
@0
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))

rewrite85.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1740×associate-*r/
1396×associate-*l/
480×associate-+l+
322×associate-/r*
300×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
126646
2365446
Stop Event
1×node limit
Counts
2 → 134
Calls
Call 1
Inputs
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
Outputs
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simplify115.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1252×associate-+r+
1200×associate-+l+
958×associate--r+
734×+-commutative
612×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03919978
110469692
246119668
Stop Event
1×node limit
Counts
194 → 223
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
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(*.f64 -1 (*.f64 y z))
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(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)))) (sqrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)))) (cbrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) 1) (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (pow.f64 (+.f64 1 x) 2)) 1) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x))) 1) (-.f64 (-.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x) 3)) 1) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x)) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))) 1) (neg.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))) (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)))) (sqrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 2)) (cbrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2)) (*.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))) (/.f64 1 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))))) (+.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) 2) 3) (pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) 3)) (/.f64 1 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 1 x) 2)) (*.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))) (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (*.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3) 3) (pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (*.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) 1) (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (sqrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))))) (sqrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))) (cbrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))) (cbrt.f64 (-.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(fma.f64 (-.f64 (*.f64 y -1/2) z) y (+.f64 1 x))
(fma.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))
(fma.f64 1 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2) (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 1 x))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
x
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
x
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 y (*.f64 (fma.f64 y -1/2 (neg.f64 z)) (-.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1) x)) (pow.f64 (+.f64 1 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 y (*.f64 (fma.f64 y -1/2 (neg.f64 z)) (-.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1) x)) (pow.f64 (+.f64 1 x) 2)))
(pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 1)
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 2)
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 3)
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 3) 1/3)
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 2))
(fabs.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)))))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
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(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(exp.f64 (log1p.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) x)))
(exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x)))
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(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
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(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(fma.f64 (-.f64 (*.f64 y -1/2) z) y (+.f64 1 x))
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(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(fma.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(fma.f64 1 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 1 x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2) (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 1 x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) (+.f64 1 x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.4b
(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓0.4b
(+.f64 1 (cos.f64 y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series0.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite77.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1666×add-sqr-sqrt
1650×*-un-lft-identity
1544×add-cube-cbrt
1532×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
117216
2230516
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(+.f64 1 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 1) (-.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(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 *.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 1 (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) (-.f64 1 (+.f64 (cos.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))))) (#(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 cos.f64 y)))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)))))

simplify73.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1292×associate-/l*
968×associate-+r+
952×associate-/r*
812×associate-+l+
684×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751686
14121560
221881552
Stop Event
1×node limit
Counts
92 → 108
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
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 (+.f64 (cos.f64 y) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 1))
(*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 1) (-.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(pow.f64 (+.f64 1 (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3))
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(exp.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y))))
(fma.f64 1 (cos.f64 y) 1)
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)
(+.f64 1 (+.f64 (cos.f64 y) -1))
(+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1))
(+.f64 (cos.f64 y) 0)
(+.f64 (+.f64 1 (cos.f64 y)) -1)
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(+.f64 -1 (+.f64 1 (cos.f64 y)))
(*.f64 1 (cos.f64 y))
(*.f64 (cos.f64 y) 1)
(*.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)))
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 1 (cos.f64 y)) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) (-.f64 1 (+.f64 (cos.f64 y) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(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))
(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))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)
Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 2 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(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 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1)
(+.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1))
(+.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 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) 1))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 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 (+.f64 (cos.f64 y) 2) 1)
(+.f64 1 (cos.f64 y))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(*.f64 1 (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(*.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(+.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 1))
(+.f64 1 (cos.f64 y))
(*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (/.f64 1 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 y)) (*.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))) (+.f64 1 (pow.f64 (cos.f64 y) 3))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) 1) (-.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) 1) (+.f64 (cos.f64 y) -1))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (sin.f64 y))) (neg.f64 (-.f64 1 (cos.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (-.f64 1 (cos.f64 y)))
(/.f64 (sin.f64 y) (tan.f64 (/.f64 y 2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 1 (cos.f64 y))))
(pow.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 2)
(+.f64 1 (cos.f64 y))
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 3)
(+.f64 1 (cos.f64 y))
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) 1/3)
(+.f64 1 (cos.f64 y))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2))
(fabs.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 y)))))
(+.f64 1 (cos.f64 y))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3))
(+.f64 1 (cos.f64 y))
(expm1.f64 (log.f64 (+.f64 (cos.f64 y) 2)))
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 y))))
(exp.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 y)) 1))
(exp.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 y))))
(+.f64 1 (cos.f64 y))
(fma.f64 1 (cos.f64 y) 1)
(+.f64 1 (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cos.f64 y))
(+.f64 1 (+.f64 (cos.f64 y) -1))
(cos.f64 y)
(+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) 0)
(cos.f64 y)
(+.f64 (+.f64 1 (cos.f64 y)) -1)
(cos.f64 y)
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(cos.f64 y)
(+.f64 -1 (+.f64 1 (cos.f64 y)))
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(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)
(*.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (/.f64 1 (+.f64 (cos.f64 y) 2)))
(cos.f64 y)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (-.f64 -2 (cos.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1) (-.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) 1))
(cos.f64 y)
(/.f64 1 (/.f64 (+.f64 (cos.f64 y) 2) (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))))
(cos.f64 y)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (-.f64 -2 (cos.f64 y)))))
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (+.f64 (cos.f64 y) 2))
(cos.f64 y)
(/.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y)) (-.f64 (+.f64 1 (cos.f64 y)) -1))
(cos.f64 y)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (-.f64 -2 (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (-.f64 -2 (cos.f64 y)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1))) (-.f64 1 (+.f64 (cos.f64 y) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 1 (cos.f64 y)))) (-.f64 2 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 y) (-.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))) (-.f64 2 (cos.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -1)) (+.f64 (cos.f64 y) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (-.f64 (+.f64 (cos.f64 y) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 y) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) -1) (+.f64 (cos.f64 y) -2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 y) 2) (cos.f64 y))) (neg.f64 (+.f64 (cos.f64 y) 2)))
(cos.f64 y)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 y)) 2) (+.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (+.f64 (+.f64 2 (cos.f64 y)) (pow.f64 (+.f64 1 (cos.f64 y)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 y)) 3)) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 y)) (-.f64 -2 (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))
(fabs.f64 (cos.f64 y))
(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)
(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)
(fma.f64 1 (+.f64 1 (cos.f64 y)) -1)
(cos.f64 y)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 y))) (sqrt.f64 (+.f64 1 (cos.f64 y))) -1)
(cos.f64 y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 y))) 2) (cbrt.f64 (+.f64 1 (cos.f64 y))) -1)
(cos.f64 y)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
0.1b
(*.f64 z (sin.f64 y))
0.6b
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
7.2b
(cbrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 34 to 12 computations (64.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

9 calls:

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

rewrite113.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1012×*-commutative
940×unswap-sqr
634×swap-sqr
474×distribute-lft-in
468×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
125317
2297617
Stop Event
1×node limit
Counts
1 → 150
Calls
Call 1
Inputs
(-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (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 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simplify145.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1454×associate-*r/
1214×associate-+l+
1102×associate-+r+
956×+-commutative
850×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037611234
1107210088
249619728
Stop Event
1×node limit
Counts
174 → 237
Calls
Call 1
Inputs
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) x)
x
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) x)
x
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) x)
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x
x
x
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(/.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)))))))
(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 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))
Outputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.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 (pow.f64 1 1/3) (*.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 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.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 (pow.f64 1 1/3) (*.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 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.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 (pow.f64 1 1/3) (*.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 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
x
x
x
x
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y)))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (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 (fma.f64 (sin.f64 y) (neg.f64 z) (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 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (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 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.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 x (fma.f64 (sin.f64 y) (neg.f64 z) (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 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (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 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (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 (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 2 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (-.f64 x (*.f64 z (sin.f64 y))))
(+.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 (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 2 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.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 x (fma.f64 (sin.f64 y) (neg.f64 z) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 x (+.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))) (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z))))
(+.f64 x (+.f64 (*.f64 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) 2) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 2 (*.f64 (sin.f64 y) (+.f64 (neg.f64 z) z)) (-.f64 x (*.f64 z (sin.f64 y))))
(fma.f64 2 (*.f64 (sin.f64 y) (+.f64 z (neg.f64 z))) (-.f64 x (*.f64 z (sin.f64 y))))
(+.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 x (*.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)))))
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eval489.0ms (5%)

Compiler

Compiled 26024 to 14462 computations (44.4% saved)

prune316.0ms (3.2%)

Pruning

27 alts after pruning (14 fresh and 13 done)

PrunedKeptTotal
New109361099
Fresh5813
Picked011
Done01212
Total1098271125
Error
0b
Counts
1125 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.1b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
48.3b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x))))
19.2b
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
✓0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
32.6b
(-.f64 (+.f64 x 1) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓8.4b
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
23.7b
(-.f64 (+.f64 x 1) (*.f64 y z))
✓44.2b
(-.f64 (+.f64 1 (cos.f64 y)) 1)
✓27.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓19.4b
(-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
19.1b
(-.f64 x (*.f64 (sin.f64 y) z))
34.1b
(-.f64 x (*.f64 y z))
✓35.6b
(-.f64 x 1)
✓45.9b
(-.f64 1 (*.f64 y z))
44.2b
(+.f64 (+.f64 (cos.f64 y) -1) 1)
29.4b
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
✓29.4b
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
52.6b
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
✓17.9b
(+.f64 (cos.f64 y) x)
✓18.0b
(+.f64 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))
✓25.6b
(+.f64 1 x)
45.6b
(*.f64 (sin.f64 y) (neg.f64 z))
56.3b
(*.f64 y (neg.f64 z))
✓44.1b
(cos.f64 y)
36.1b
x
51.7b
1
Compiler

Compiled 280 to 202 computations (27.9% saved)

regimes84.0ms (0.9%)

Counts
40 → 1
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 1 (-.f64 (cos.f64 y) 1))
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.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 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))
(-.f64 (+.f64 x 1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.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 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)))
(-.f64 x (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x 1) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x))))
(/.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))))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

20.0ms
x
18.0ms
y
18.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 379 to 170 computations (55.1% saved)

regimes134.0ms (1.4%)

Counts
29 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 1 (-.f64 (cos.f64 y) 1))
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.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 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))
(-.f64 (+.f64 x 1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.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:

52.0ms
x
49.0ms
z
26.0ms
y
Results
ErrorSegmentsBranch
0.5b3x
6.3b2y
0.6b3z
Compiler

Compiled 206 to 105 computations (49% saved)

bsearch71.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.0015582547322562355
0.02209923906738084
45.0ms
-6.191645109130717e-7
-7.75291861270606e-18
Results
31.0ms65×body1024valid
26.0ms153×body256valid
10.0ms38×body512valid
Compiler

Compiled 386 to 285 computations (26.2% saved)

regimes115.0ms (1.2%)

Counts
28 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 1 (-.f64 (cos.f64 y) 1))
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.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 1 (+.f64 (+.f64 x 1) (-.f64 (+.f64 (cos.f64 y) -1) 1)))
(-.f64 (+.f64 x 1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
Outputs
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
Calls

3 calls:

37.0ms
z
36.0ms
y
36.0ms
x
Results
ErrorSegmentsBranch
5.9b3x
6.3b2y
0.6b3z
Compiler

Compiled 199 to 104 computations (47.7% saved)

bsearch63.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
1.524075495211837e-14
7.410957101626708
27.0ms
-23142.12095958933
-0.8900797265305564
Results
34.0ms222×body256valid
19.0ms43×body1024valid
6.0ms23×body512valid
Compiler

Compiled 378 to 283 computations (25.1% saved)

regimes116.0ms (1.2%)

Counts
22 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 1 (-.f64 (cos.f64 y) 1))
(+.f64 (+.f64 (cos.f64 y) -1) 1)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(+.f64 1 (-.f64 (+.f64 x (cos.f64 y)) 1))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

38.0ms
z
37.0ms
y
37.0ms
x
Results
ErrorSegmentsBranch
10.0b4x
6.7b4y
4.4b3z
Compiler

Compiled 140 to 77 computations (45% saved)

bsearch61.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
1.524075495211837e-14
7.410957101626708
26.0ms
-23142.12095958933
-0.8900797265305564
Results
35.0ms227×body256valid
16.0ms39×body1024valid
6.0ms22×body512valid
Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes75.0ms (0.8%)

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

3 calls:

24.0ms
z
24.0ms
y
23.0ms
x
Results
ErrorSegmentsBranch
16.2b3x
11.5b3y
10.0b3z
Compiler

Compiled 106 to 60 computations (43.4% saved)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
8.706194660864122e+187
3.896794485290786e+189
26.0ms
-5.076051347531235e+94
-2.0573235651377891e+93
Results
24.0ms151×body256valid
20.0ms45×body1024valid
8.0ms28×body512valid
Compiler

Compiled 256 to 195 computations (23.8% saved)

regimes67.0ms (0.7%)

Counts
14 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

22.0ms
z
22.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
16.2b3x
11.5b3y
13.6b3z
Compiler

Compiled 89 to 50 computations (43.8% saved)

bsearch53.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
6840290707671657000.0
2.2142368014575527e+26
26.0ms
-121665897122.41286
-888.9127594491316
Results
49.0ms288×body256valid
Compiler

Compiled 486 to 355 computations (27% saved)

regimes69.0ms (0.7%)

Counts
13 → 4
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(cos.f64 y)
Outputs
(+.f64 1 x)
(cos.f64 y)
(+.f64 1 (-.f64 x (*.f64 y z)))
x
Calls

3 calls:

28.0ms
x
20.0ms
z
19.0ms
y
Results
ErrorSegmentsBranch
16.3b4x
19.1b3y
21.4b3z
Compiler

Compiled 85 to 49 computations (42.4% saved)

bsearch98.0ms (1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
22.0ms
1.22260832633744e+145
3.4372007772562167e+146
35.0ms
2.166498899709879e-221
3.0006076442729387e-208
41.0ms
-6.191645109130717e-7
-7.75291861270606e-18
Results
47.0ms308×body256valid
29.0ms66×body1024valid
17.0ms58×body512valid
Compiler

Compiled 430 to 337 computations (21.6% saved)

regimes60.0ms (0.6%)

Counts
12 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
Outputs
(+.f64 1 x)
(+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y)))
(-.f64 x 1)
Calls

3 calls:

20.0ms
y
19.0ms
x
19.0ms
z
Results
ErrorSegmentsBranch
21.1b3x
19.1b3y
21.4b3z
Compiler

Compiled 83 to 48 computations (42.2% saved)

bsearch66.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
6840290707671657000.0
2.2142368014575527e+26
27.0ms
-121665897122.41286
-888.9127594491316
Results
62.0ms288×body256valid
Compiler

Compiled 468 to 355 computations (24.1% saved)

regimes103.0ms (1.1%)

Counts
11 → 3
Calls
Call 1
Inputs
1
x
(+.f64 1 x)
(-.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 y z))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y y)) 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
Outputs
(+.f64 1 x)
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(-.f64 x 1)
Calls

3 calls:

47.0ms
z
35.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
21.1b3x
19.1b3y
21.4b3z
Compiler

Compiled 69 to 40 computations (42% saved)

bsearch78.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
6840290707671657000.0
2.2142368014575527e+26
51.0ms
-121665897122.41286
-888.9127594491316
Results
74.0ms288×body256valid
Compiler

Compiled 414 to 319 computations (22.9% saved)

regimes107.0ms (1.1%)

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

3 calls:

46.0ms
x
42.0ms
y
17.0ms
z
Results
ErrorSegmentsBranch
21.1b3x
19.1b3y
21.4b3z
Compiler

Compiled 58 to 33 computations (43.1% saved)

bsearch38.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
11.0ms
2.7595575420621546e+39
5.4047140049362455e+39
26.0ms
-121665897122.41286
-888.9127594491316
Results
35.0ms208×body256valid
Compiler

Compiled 252 to 195 computations (22.6% saved)

regimes50.0ms (0.5%)

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

3 calls:

21.0ms
y
14.0ms
x
13.0ms
z
Results
ErrorSegmentsBranch
22.4b3x
22.5b5y
22.2b3z
Compiler

Compiled 37 to 23 computations (37.8% saved)

bsearch108.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
72.0ms
8.706194660864122e+187
3.896794485290786e+189
35.0ms
-1.242881983355624e+101
-5.076051347531235e+94
Results
71.0ms170×body256valid
25.0ms56×body1024valid
8.0ms30×body512valid
Compiler

Compiled 274 to 205 computations (25.2% saved)

regimes39.0ms (0.4%)

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

3 calls:

14.0ms
y
14.0ms
x
9.0ms
z
Results
ErrorSegmentsBranch
22.4b3x
24.0b3y
24.2b2z
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch61.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
54037979.38090268
180156570.2754376
43.0ms
-6.191645109130717e-7
-7.75291861270606e-18
Results
26.0ms53×body1024valid
24.0ms156×body256valid
8.0ms31×body512valid
Compiler

Compiled 258 to 208 computations (19.4% saved)

regimes21.0ms (0.2%)

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

3 calls:

9.0ms
z
7.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
25.6b1x
25.6b1y
24.4b2z
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch28.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
28.0ms
-1.2030936061945287e+187
-7.633576692111556e+184
Results
11.0ms77×body256valid
10.0ms24×body1024valid
4.0ms11×body512valid
Compiler

Compiled 123 to 97 computations (21.1% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
25.6b1x
25.6b1y
25.6b1z
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes34.0ms (0.3%)

Accuracy

Total -36.1b remaining (-139.2%)

Threshold costs -36.1b (-139.2%)

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

3 calls:

15.0ms
y
9.0ms
x
8.0ms
z
Results
ErrorSegmentsBranch
25.9b3x
32.7b5y
35.0b3z
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch81.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
0.02209923906738084
15.011141692632998
42.0ms
-0.7876300608803821
-6.191645109130717e-7
Results
39.0ms80×body1024valid
23.0ms147×body256valid
13.0ms43×body512valid
2.0ms2×body2048valid
Compiler

Compiled 188 to 166 computations (11.7% saved)

simplify25.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
42×+-commutative
26×*-commutative
16×if-if-or-not
16×cancel-sign-sub-inv
14×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114728
1173720
2196720
3205720
4210720
5211720
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -6769984589841923/1208925819614629174706176) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x 7378697629483821/4611686018427387904) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -5854679515581645/4503599627370496) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 7656119366529843/9007199254740992) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -23000) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 4165829655317709/562949953421312) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 559999999999999963466050834889901255300205201987513587214846343524343643407885087185381584939678992158757923596815803630561261260128221293577569779975824510489506581231482379983666905350144) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -900) (+.f64 (cos.f64 y) x) (if (<=.f64 y 7000000000000000000) (+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -6165521680034609/604462909807314587353088) (+.f64 1 x) (if (<=.f64 x 4367760059630481/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (cos.f64 y) (if (<=.f64 x 13999999999999999292684917725809902661815891935945161835964606575452108324658445285471496367915557477820441278821419838539403673852121706162814976) (+.f64 1 (-.f64 x (*.f64 y z))) x)))
(if (<=.f64 y -1500000000) (+.f64 1 x) (if (<=.f64 y 530000000000000000000) (+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))) (-.f64 x 1)))
(if (<=.f64 y -23000000) (+.f64 1 x) (if (<=.f64 y 530000000000000000000) (+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))) (-.f64 x 1)))
(if (<=.f64 y -245000000) (+.f64 1 x) (if (<=.f64 y 4199999999999999716555353270367620694016) (+.f64 1 (-.f64 x (*.f64 y z))) (-.f64 x 1)))
(if (<=.f64 z -3100000000000000068725651362513036654386469723058226297256279933423225231890942226241218547667697664) (-.f64 x (*.f64 y z)) (if (<=.f64 z 2900000000000000190635165514376094522147791361893522916314311827254962307101955344159321764182990792379469448392472359968973364336163702845623003331671306522337968702141827339704389416779776) (+.f64 1 x) (-.f64 x (*.f64 y z))))
(if (<=.f64 x -7156840852118605/19342813113834066795298816) (+.f64 1 x) (if (<=.f64 x 55000000) (-.f64 1 (*.f64 y z)) (+.f64 1 x)))
(if (<=.f64 z -11999999999999999272337339647887288966366567055903681787445669214185006625272326888994164567129698753919009313959232620118650113167064415967591904728667491735388122075918633123892588183552) (*.f64 y (neg.f64 z)) (+.f64 1 x))
(+.f64 1 x)
(if (<=.f64 x -2206763817411543/4503599627370496) x (if (<=.f64 x 5404319552844595/4503599627370496) 1 x))
1
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -6769984589841923/1208925819614629174706176) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 x 7378697629483821/4611686018427387904) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 x -6769984589841923/1208925819614629174706176) (not (<=.f64 x 7378697629483821/4611686018427387904))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(if (<=.f64 z -5854679515581645/4503599627370496) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 7656119366529843/9007199254740992) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -5854679515581645/4503599627370496) (not (<=.f64 z 7656119366529843/9007199254740992))) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(if (<=.f64 z -23000) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 4165829655317709/562949953421312) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (or (<=.f64 z -23000) (not (<=.f64 z 4165829655317709/562949953421312))) (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(if (<=.f64 z -8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 559999999999999963466050834889901255300205201987513587214846343524343643407885087185381584939678992158757923596815803630561261260128221293577569779975824510489506581231482379983666905350144) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (or (<=.f64 z -8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (not (<=.f64 z 559999999999999963466050834889901255300205201987513587214846343524343643407885087185381584939678992158757923596815803630561261260128221293577569779975824510489506581231482379983666905350144))) (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))
(if (or (<=.f64 z -8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (not (<=.f64 z 559999999999999963466050834889901255300205201987513587214846343524343643407885087185381584939678992158757923596815803630561261260128221293577569779975824510489506581231482379983666905350144))) (*.f64 z (neg.f64 (sin.f64 y))) (+.f64 x (cos.f64 y)))
(if (<=.f64 y -900) (+.f64 (cos.f64 y) x) (if (<=.f64 y 7000000000000000000) (+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -900) (not (<=.f64 y 7000000000000000000))) (+.f64 x (cos.f64 y)) (+.f64 (+.f64 x 1) (+.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y (neg.f64 z)))))
(if (or (<=.f64 y -900) (not (<=.f64 y 7000000000000000000))) (+.f64 x (cos.f64 y)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z))))
(if (<=.f64 x -6165521680034609/604462909807314587353088) (+.f64 1 x) (if (<=.f64 x 4367760059630481/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (cos.f64 y) (if (<=.f64 x 13999999999999999292684917725809902661815891935945161835964606575452108324658445285471496367915557477820441278821419838539403673852121706162814976) (+.f64 1 (-.f64 x (*.f64 y z))) x)))
(if (<=.f64 x -6165521680034609/604462909807314587353088) (+.f64 x 1) (if (<=.f64 x 4367760059630481/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (cos.f64 y) (if (<=.f64 x 13999999999999999292684917725809902661815891935945161835964606575452108324658445285471496367915557477820441278821419838539403673852121706162814976) (+.f64 1 (-.f64 x (*.f64 y z))) x)))
(if (<=.f64 y -1500000000) (+.f64 1 x) (if (<=.f64 y 530000000000000000000) (+.f64 (+.f64 1 x) (+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))) (-.f64 x 1)))
(if (<=.f64 y -1500000000) (+.f64 x 1) (if (<=.f64 y 530000000000000000000) (+.f64 (+.f64 x 1) (+.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y (neg.f64 z)))) (+.f64 x -1)))
(if (<=.f64 y -1500000000) (+.f64 x 1) (if (<=.f64 y 530000000000000000000) (+.f64 (+.f64 x 1) (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z))) (+.f64 x -1)))
(if (<=.f64 y -23000000) (+.f64 1 x) (if (<=.f64 y 530000000000000000000) (+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z))) (-.f64 x 1)))
(if (<=.f64 y -23000000) (+.f64 x 1) (if (<=.f64 y 530000000000000000000) (+.f64 (+.f64 x 1) (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 x -1)))
(if (<=.f64 y -245000000) (+.f64 1 x) (if (<=.f64 y 4199999999999999716555353270367620694016) (+.f64 1 (-.f64 x (*.f64 y z))) (-.f64 x 1)))
(if (<=.f64 y -245000000) (+.f64 x 1) (if (<=.f64 y 4199999999999999716555353270367620694016) (+.f64 1 (-.f64 x (*.f64 y z))) (+.f64 x -1)))
(if (<=.f64 z -3100000000000000068725651362513036654386469723058226297256279933423225231890942226241218547667697664) (-.f64 x (*.f64 y z)) (if (<=.f64 z 2900000000000000190635165514376094522147791361893522916314311827254962307101955344159321764182990792379469448392472359968973364336163702845623003331671306522337968702141827339704389416779776) (+.f64 1 x) (-.f64 x (*.f64 y z))))
(if (or (<=.f64 z -3100000000000000068725651362513036654386469723058226297256279933423225231890942226241218547667697664) (not (<=.f64 z 2900000000000000190635165514376094522147791361893522916314311827254962307101955344159321764182990792379469448392472359968973364336163702845623003331671306522337968702141827339704389416779776))) (-.f64 x (*.f64 y z)) (+.f64 x 1))
(if (<=.f64 x -7156840852118605/19342813113834066795298816) (+.f64 1 x) (if (<=.f64 x 55000000) (-.f64 1 (*.f64 y z)) (+.f64 1 x)))
(if (<=.f64 x -7156840852118605/19342813113834066795298816) (+.f64 x 1) (if (<=.f64 x 55000000) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -11999999999999999272337339647887288966366567055903681787445669214185006625272326888994164567129698753919009313959232620118650113167064415967591904728667491735388122075918633123892588183552) (*.f64 y (neg.f64 z)) (+.f64 1 x))
(if (<=.f64 z -11999999999999999272337339647887288966366567055903681787445669214185006625272326888994164567129698753919009313959232620118650113167064415967591904728667491735388122075918633123892588183552) (*.f64 y (neg.f64 z)) (+.f64 x 1))
(+.f64 1 x)
(+.f64 x 1)
(if (<=.f64 x -2206763817411543/4503599627370496) x (if (<=.f64 x 5404319552844595/4503599627370496) 1 x))
1
Compiler

Compiled 325 to 228 computations (29.8% saved)

soundness0.0ms (0%)

end127.0ms (1.3%)

Compiler

Compiled 280 to 159 computations (43.2% saved)

Profiling

Loading profile data...