Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 4.9s)

analyze17.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample2.5s (51.8%)

Results
732.0ms1054×body1024valid
622.0ms2482×body256infinite
534.0ms1053×body1024infinite
375.0ms2606×body256valid
146.0ms522×body512valid
107.0ms537×body512infinite
1.0msbody2048valid
Bogosity

preprocess111.0ms (2.3%)

Algorithm
egg-herbie
Rules
1576×div-sub
1272×times-frac
944×fma-neg
914×distribute-lft-neg-in
836×distribute-rgt-neg-in
Problems
256×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023150
151150
2117150
3332150
41093150
54801150
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) (/.f64 x (cos.f64 y)))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 29 to 13 computations (55.2% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize93.0ms (1.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(cos.f64 x)
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
99.8%
(/.f64 (cos.f64 x) y)
100.0%
(cos.f64 x)
100.0%
(/.f64 (sinh.f64 y) y)
Compiler

Compiled 37 to 9 computations (75.7% saved)

series13.0ms (0.3%)

Counts
5 → 48
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
2.0ms
y
@-inf
(/.f64 (sinh.f64 y) y)
1.0ms
y
@inf
(/.f64 (sinh.f64 y) y)
1.0ms
x
@inf
(/.f64 (cos.f64 x) y)
1.0ms
y
@-inf
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))

rewrite139.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
880×log-prod
826×log1p-expm1-u
826×expm1-log1p-u
604×pow-prod-down
382×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01380
115980
2216780
Stop Event
node limit
Counts
5 → 187
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) y)
(cos.f64 x)
(/.f64 (cos.f64 x) y)
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(cos.f64 x)
Outputs
(+.f64 0 (/.f64 (sinh.f64 y) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 (/.f64 (sinh.f64 y) y) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) 1) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sinh.f64 y) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(+.f64 0 (/.f64 (cos.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) y))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) y))) 1)
(*.f64 (cos.f64 x) (/.f64 1 y))
(*.f64 (/.f64 (cos.f64 x) y) 1)
(*.f64 (/.f64 (cos.f64 x) y) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (cos.f64 x) y))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (cos.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) y))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))
(pow.f64 (/.f64 (cos.f64 x) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)
(pow.f64 (/.f64 y (cos.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 y (cos.f64 x)) 1) -1)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) y))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (cos.f64 x) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (cos.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))
(+.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) 2))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y (cos.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (cos.f64 x)) (*.f64 2 y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 y 2))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 2 (sinh.f64 y))) 2)
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) 2)
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 1) y)
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) -1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))

simplify101.0ms (2.1%)

Algorithm
egg-herbie
Rules
944×log-prod
664×associate-*r*
602×associate-*l*
554×cube-prod
454×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04446504
110056285
246396285
Stop Event
node limit
Counts
235 → 235
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))
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(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
1
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(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
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(+.f64 (cos.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
1
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(+.f64 0 (/.f64 (sinh.f64 y) y))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 (/.f64 (sinh.f64 y) y) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
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(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) 1) -1)
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(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
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(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sinh.f64 y) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
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(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
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(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1/3))
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(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) 2)
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(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) -1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 1/6 (pow.f64 y 2) 1)
(+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 1/6 (pow.f64 y 2) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (pow.f64 y 2) 1) (*.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (pow.f64 y 2) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 1/6 (pow.f64 y 2) 1))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 (pow.f64 x 2) y) (/.f64 1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (/.f64 1 y)))
(fma.f64 -1/2 (/.f64 (pow.f64 x 2) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (/.f64 1 y))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 2) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 x 2) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 x 2) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (*.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 -1/1440 (/.f64 (pow.f64 x 6) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/48 (/.f64 (pow.f64 x 4) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 x 2) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/1440 (*.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (*.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 -1/1440 (*.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 1/48 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))) y)
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 1/2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))
(*.f64 (fma.f64 1/6 (pow.f64 y 2) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x)) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (fma.f64 1/6 (pow.f64 y 2) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))))
(+.f64 (cos.f64 x) (fma.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x)) (fma.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x)) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4)))) (*.f64 (fma.f64 1/6 (pow.f64 y 2) 1) (cos.f64 x)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) y)) 1) 1))
(/.f64 (cos.f64 x) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 x) y))) 3))
(/.f64 (cos.f64 x) y)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (cos.f64 x) y))) 1/3))
(/.f64 (cos.f64 x) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 x) y))) 2))
(/.f64 (cos.f64 x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (cos.f64 x))) -1))
(/.f64 (cos.f64 x) y)
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))
(/.f64 (cos.f64 x) y)
(+.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (cos.f64 x)) (*.f64 2 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 y 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 2 (sinh.f64 y))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 1) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 3)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2) 1/2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) -1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)) 1/3)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 1) 1))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 1/3))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) 2))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 1)))
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(cos.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(cos.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1/3))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

eval58.0ms (1.2%)

Compiler

Compiled 3911 to 1666 computations (57.4% saved)

prune97.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2723275
Fresh000
Picked112
Done000
Total2734277
Accuracy
100.0%
Counts
277 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
59.8%
(*.f64 (/.f64 1 y) (sinh.f64 y))
53.2%
(cos.f64 x)
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
59.8%
(*.f64 (/.f64 1 y) (sinh.f64 y))
53.2%
(cos.f64 x)
Compiler

Compiled 60 to 42 computations (30% saved)

localize252.0ms (5.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(cos.f64 x)
99.9%
(*.f64 (/.f64 1 y) (sinh.f64 y))
100.0%
(cos.f64 x)
Compiler

Compiled 36 to 13 computations (63.9% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
676×unpow-prod-down
450×log-prod
442×cbrt-prod
422×log1p-expm1-u
422×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
19717
2118617
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (sinh.f64 y))
Outputs
(+.f64 0 (/.f64 (sinh.f64 y) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 -1 (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (neg.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (*.f64 2 (sinh.f64 y))) 2)
(/.f64 (*.f64 (sinh.f64 y) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)
(/.f64 (/.f64 (sinh.f64 y) 1) y)
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) (sinh.f64 y))) (cbrt.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 (sinh.f64 y) y)))
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))

simplify65.0ms (1.3%)

Algorithm
egg-herbie
Rules
1694×log-div
972×associate-*r*
912×associate-*l*
788×fma-neg
674×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01352159
13252121
29891094
369001094
Stop Event
node limit
Counts
53 → 60
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 0 (/.f64 (sinh.f64 y) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 -1 (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (neg.f64 y)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (*.f64 2 (sinh.f64 y))) 2)
(/.f64 (*.f64 (sinh.f64 y) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)
(/.f64 (/.f64 (sinh.f64 y) 1) y)
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) (sinh.f64 y))) (cbrt.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 (sinh.f64 y) y)))
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 1/6 (pow.f64 y 2) 1)
(+.f64 1 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 1/6 (pow.f64 y 2) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 1/6 (pow.f64 y 2) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (pow.f64 y 2) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (pow.f64 y 2) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(+.f64 0 (/.f64 (sinh.f64 y) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (sinh.f64 y) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 -1 (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (neg.f64 y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (/.f64 1 y) (*.f64 2 (sinh.f64 y))) 2)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (sinh.f64 y) -1) (neg.f64 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 -1 (sinh.f64 y)) (neg.f64 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) 1) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (pow.f64 (/.f64 (sinh.f64 y) y) 2))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 2))) (cbrt.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2) 1/2)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (E.f64) (log.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)) 1/3)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)) 1/3))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (sinh.f64 y) y)

eval46.0ms (0.9%)

Compiler

Compiled 2336 to 1118 computations (52.1% saved)

prune30.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2164220
Fresh000
Picked123
Done011
Total2177224
Accuracy
100.0%
Counts
224 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (sinh.f64 y) y)
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
59.8%
(/.f64 1 (/.f64 y (sinh.f64 y)))
31.9%
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
53.2%
(cos.f64 x)
27.0%
1
59.8%
(/.f64 (sinh.f64 y) y)
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
59.8%
(/.f64 1 (/.f64 y (sinh.f64 y)))
31.9%
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
53.2%
(cos.f64 x)
27.0%
1
Compiler

Compiled 96 to 72 computations (25% saved)

localize135.0ms (2.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (sinh.f64 y) y)
100.0%
(*.f64 -1/2 (pow.f64 x 2))
Compiler

Compiled 43 to 24 computations (44.2% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -1/2 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 -1/2 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 -1/2 (pow.f64 x 2))

rewrite115.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
848×associate-*r*
756×expm1-udef
728×associate-*l*
404×unpow-prod-down
286×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
16916
270616
3764016
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))

simplify49.0ms (1%)

Algorithm
egg-herbie
Rules
772×times-frac
710×distribute-lft-out
648×fma-neg
514×associate--l+
496×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085533
1205531
2580531
32681103
Stop Event
node limit
Counts
25 → 32
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 0 (log.f64 (cbrt.f64 (pow.f64 1 -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(*.f64 -1/2 (pow.f64 x 2))
0
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 0)) 2)) (cbrt.f64 (log.f64 0)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 0))) (sqrt.f64 (log.f64 0)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(*.f64 -1/2 (pow.f64 x 2))
0
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
0
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(*.f64 -1/2 (pow.f64 x 2))
0
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(*.f64 -1/2 (pow.f64 x 2))
0
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0

eval25.0ms (0.5%)

Compiler

Compiled 1064 to 676 computations (36.5% saved)

prune230.0ms (4.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New98098
Fresh011
Picked033
Done033
Total987105
Accuracy
100.0%
Counts
105 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (sinh.f64 y) y)
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
59.8%
(/.f64 1 (/.f64 y (sinh.f64 y)))
31.9%
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
53.2%
(cos.f64 x)
27.0%
1
59.8%
(/.f64 (sinh.f64 y) y)
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
59.8%
(/.f64 1 (/.f64 y (sinh.f64 y)))
31.9%
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
53.2%
(cos.f64 x)
27.0%
1
Compiler

Compiled 96 to 72 computations (25% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (sinh.f64 y) y)
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
59.8%
(/.f64 1 (/.f64 y (sinh.f64 y)))
31.9%
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
53.2%
(cos.f64 x)
27.0%
1
Compiler

Compiled 97 to 58 computations (40.2% saved)

regimes28.0ms (0.6%)

Counts
9 → 1
Calls
Call 1
Inputs
1
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(/.f64 1 (/.f64 y (sinh.f64 y)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
Calls

5 calls:

8.0ms
(cos.f64 x)
6.0ms
y
6.0ms
x
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(cos.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 74 to 39 computations (47.3% saved)

regimes28.0ms (0.6%)

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

5 calls:

7.0ms
y
6.0ms
x
5.0ms
(cos.f64 x)
4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(cos.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 67 to 38 computations (43.3% saved)

regimes49.0ms (1%)

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

4 calls:

19.0ms
x
14.0ms
(cos.f64 x)
11.0ms
y
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
75.8%4x
85.6%2y
76.8%2(cos.f64 x)
85.6%2(/.f64 (sinh.f64 y) y)
Compiler

Compiled 44 to 29 computations (34.1% saved)

regimes13.0ms (0.3%)

Counts
4 → 2
Calls
Call 1
Inputs
1
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
Outputs
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
Calls

2 calls:

9.0ms
y
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
85.6%2y
85.6%2(/.f64 (sinh.f64 y) y)
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes12.0ms (0.2%)

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

3 calls:

4.0ms
(cos.f64 x)
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
53.2%1x
53.2%1(cos.f64 x)
53.2%1y
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
1
Outputs
1
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
27.0%1x
27.0%1y
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000003784
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000003784
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022175
125175
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
1
Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
1
Compiler

Compiled 57 to 37 computations (35.1% saved)

soundness443.0ms (9.1%)

Rules
1694×log-div
1576×div-sub
1272×times-frac
972×associate-*r*
944×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023150
151150
2117150
3332150
41093150
54801150
01380
115980
2216780
01352159
13252121
29891094
369001094
01017
19717
2118617
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 176 to 97 computations (44.9% saved)

end0.0ms (0%)

preprocess138.0ms (2.8%)

Remove

(abs y)

(abs x)

Compiler

Compiled 148 to 70 computations (52.7% saved)

Profiling

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