Details

Time bar (total: 19.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.2s (21.1%)

Results
1.8s4055×body1024valid
1.7s2089×body2048valid
494.0ms1370×body512valid
158.0ms741×body256valid
1.0msbody4096valid
Bogosity

preprocess27.0ms (0.1%)

Algorithm
egg-herbie
Rules
144×fma-def
80×associate--r+
72×associate-+l-
56×+-commutative
48×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
11942
22742
34142
45642
58442
617242
723742
831842
939942
1044742
1145142
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
80×fma-def
42×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11221
21721
32521
43421
55121
610321
714321
818721
923021
1025421
1125621
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
42.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
42.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.2b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.7b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite129.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1076×*-commutative
908×associate-*r/
752×distribute-lft-in
736×distribute-rgt-in
690×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
121232
2312132
Stop Event
node limit
Counts
2 → 160
Calls
Call 1
Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
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simplify165.0ms (0.8%)

Algorithm
egg-herbie
Rules
1352×associate-+l-
1152×associate-+r-
828×fma-def
724×associate--r+
538×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045610932
1128310512
2592010512
Stop Event
node limit
Counts
208 → 286
Calls
Call 1
Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) 1))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 1 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (cos.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (*.f64 -2 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))) 2)
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) 1) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (*.f64 (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1))
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
(+.f64 -1 (-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))) 1))
(+.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (fma.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 (+.f64 eps x)) 6))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (*.f64 (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) x))) (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))))) 1/2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

eval94.0ms (0.5%)

Compiler

Compiled 7078 to 2227 computations (68.5% saved)

prune79.0ms (0.4%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New25036286
Fresh000
Picked011
Done000
Total25037287
Error
0.2b
Counts
287 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
31.5b
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
50.8b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
42.2b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
42.2b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
42.2b
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
42.2b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
42.1b
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
25.9b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
31.6b
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
26.0b
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
56.8b
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
25.9b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
57.0b
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
43.5b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
44.1b
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
40.4b
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
25.9b
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
42.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
47.7b
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
42.2b
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
50.7b
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
42.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
42.1b
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
57.5b
(-.f64 (cos.f64 x) (cos.f64 x))
41.3b
(-.f64 (cos.f64 eps) (cos.f64 x))
41.4b
(-.f64 (cos.f64 eps) 1)
6.7b
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
25.9b
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
31.8b
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
42.2b
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
42.2b
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
36.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
37.6b
(*.f64 (neg.f64 eps) (sin.f64 x))
42.4b
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
16.0b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
42.2b
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
57.3b
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
Compiler

Compiled 1343 to 812 computations (39.5% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (cos.f64 eps))
0.1b
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.2b
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.9b
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
Compiler

Compiled 54 to 12 computations (77.8% saved)

series8.0ms (0%)

Counts
4 → 92
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms
eps
@inf
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms
eps
@0
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
1.0ms
x
@inf
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
0.0ms
eps
@0
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))

rewrite126.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1532×associate-*r/
1374×associate-*l/
628×associate-+l+
354×add-sqr-sqrt
346×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015116
132872
2489072
Stop Event
node limit
Counts
4 → 325
Calls
Call 1
Inputs
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
Outputs
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simplify222.0ms (1.1%)

Algorithm
egg-herbie
Rules
1320×associate-*r*
1250×associate-*l*
1010×+-commutative
830×associate-/r*
798×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084422979
1251322545
Stop Event
node limit
Counts
417 → 646
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/720 (*.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
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(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2)) 1) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) 1) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) 1) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) 3)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))) (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (*.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))))
(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2)
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1) 2)
(/.f64 (*.f64 (cos.f64 eps) (-.f64 0 (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 eps) (-.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) -2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x)))) 2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (cos.f64 x) 3)) (cos.f64 eps)) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 1) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) 1/2) (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1/2) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)) 1))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4))) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/720 (*.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/720 (*.f64 (cos.f64 eps) -1/720)) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (+.f64 1/720 (*.f64 (cos.f64 eps) -1/720)) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) -1))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
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(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(fma.f64 1 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0)
(*.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(*.f64 (cos.f64 eps) (cos.f64 x))
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))
(*.f64 1/2 (*.f64 2 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2)
(/.f64 (*.f64 2 (cos.f64 (+.f64 eps x))) 2)
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) -2)
(*.f64 1/2 (*.f64 2 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1) 2)
(/.f64 (*.f64 2 (cos.f64 (+.f64 eps x))) 2)
(/.f64 (*.f64 (cos.f64 eps) (-.f64 0 (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (cos.f64 eps) (-.f64 0 (pow.f64 (cos.f64 x) 3))) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x)))))
(/.f64 (cos.f64 eps) (/.f64 (+.f64 0 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 3))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) -2)
(*.f64 1/2 (*.f64 2 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x)))) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cos.f64 (+.f64 eps x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cos.f64 (+.f64 eps x))))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)) (cos.f64 x))
(/.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (cos.f64 x) 3)) (cos.f64 eps)) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x)))))
(/.f64 (cos.f64 eps) (/.f64 (+.f64 0 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 3))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 eps)))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1) -2)
(*.f64 1/2 (*.f64 2 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 1) 2)
(/.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (cos.f64 (+.f64 eps x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (cos.f64 (+.f64 eps x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) 1/2) (+.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))
(/.f64 (*.f64 2 (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (/.f64 (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) 0) 1/2))
(/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) 0))
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1/2) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(/.f64 0 0)
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)
(*.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3)
(*.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) 1/3)
(*.f64 (cos.f64 eps) (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))
(*.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))
(*.f64 (cos.f64 eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1))
(*.f64 (cos.f64 eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (cos.f64 x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.9b
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite51.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1364×add-sqr-sqrt
1348×*-un-lft-identity
1256×add-cube-cbrt
1244×add-cbrt-cube
1232×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114211
2171811
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))))

simplify126.0ms (0.6%)

Algorithm
egg-herbie
Rules
1718×associate-/r*
1544×associate-/l*
1028×associate-*r*
834×associate-*l*
618×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095839
1221779
2793749
33991749
Stop Event
node limit
Counts
35 → 49
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/40320 (pow.f64 eps 8)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(+.f64 (cos.f64 eps) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(+.f64 (cos.f64 eps) -1)
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.3b
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
3.7b
(cos.f64 (+.f64 eps x))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts
2 → 28
Calls

12 calls:

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

rewrite85.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1014×*-commutative
828×associate-*r/
676×distribute-lft-in
664×distribute-rgt-in
638×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122332
2315132
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(cos.f64 (+.f64 eps x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 1 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cbrt.f64 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (fabs.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))) (fabs.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) 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simplify160.0ms (0.8%)

Algorithm
egg-herbie
Rules
1342×+-commutative
1290×associate-+r-
948×associate--r+
890×fma-def
600×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043810256
112229398
260129398
Stop Event
node limit
Counts
186 → 280
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
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(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) 1) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cbrt.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x)))
Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 (*.f64 x x) -1/2)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (*.f64 x x) -1/2))) (*.f64 x (sin.f64 eps))))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (pow.f64 (cos.f64 x) 6)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (pow.f64 (cos.f64 x) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 6) (fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 1 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cbrt.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (-.f64 x (neg.f64 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
0.5b
(log1p.f64 (cos.f64 (+.f64 x eps)))
3.7b
(cos.f64 (+.f64 x eps))
17.4b
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series97.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
41.0ms
eps
@-inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
23.0ms
x
@inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
19.0ms
x
@-inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
11.0ms
eps
@inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
1.0ms
x
@0
(log1p.f64 (cos.f64 (+.f64 x eps)))

rewrite100.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1064×*-commutative
882×associate-*r/
708×distribute-lft-in
692×distribute-rgt-in
692×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
124047
2311047
Stop Event
node limit
Counts
3 → 191
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log1p.f64 (cos.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
Outputs
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simplify108.0ms (0.5%)

Algorithm
egg-herbie
Rules
1048×fma-def
756×associate-*r*
666×associate-+l+
622×associate-*l*
610×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057412773
1163412195
Stop Event
node limit
Counts
263 → 350
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(log.f64 (+.f64 (cos.f64 eps) 1))
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3))))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 (cos.f64 x) 1))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))))) (+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (+.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 x eps))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (*.f64 (sin.f64 eps) (neg.f64 x))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) 1)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (+.f64 (cos.f64 eps) 1))
(log1p.f64 (cos.f64 eps))
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))))
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1)))
(-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))))
(fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))))) (*.f64 x x) (-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (fma.f64 -1 (/.f64 (sin.f64 eps) (/.f64 (+.f64 (cos.f64 eps) 1) x)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -3 (/.f64 (cos.f64 eps) (/.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 -2 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))))))
(+.f64 (fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))))) (*.f64 x x) (-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x))) (*.f64 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) (tan.f64 (/.f64 eps 2)))) (*.f64 1/6 (pow.f64 x 3))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 (cos.f64 x) 1))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(-.f64 (log1p.f64 (cos.f64 x)) (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))))
(+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(+.f64 (-.f64 (log1p.f64 (cos.f64 x)) (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (cos.f64 x)))) (*.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))) (*.f64 1/2 (*.f64 eps eps))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))))) (+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -3 (/.f64 (cos.f64 x) (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (sin.f64 x))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))) (+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x))))))
(+.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))) (*.f64 1/2 (*.f64 eps eps))) (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (cos.f64 x)))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2))))) (log1p.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (sin.f64 eps) (neg.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
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(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)
(cos.f64 (+.f64 eps x))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1))
(+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1)))
(-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) 1) (fma.f64 (sin.f64 eps) (sin.f64 x) 1))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1))
(+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1)))
(-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) 1) (fma.f64 (sin.f64 eps) (sin.f64 x) 1))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2)
(cos.f64 (+.f64 eps x))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(*.f64 1 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 1) (cos.f64 (+.f64 eps x))) (+.f64 2 (cos.f64 (+.f64 eps x))))
(/.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (/.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (+.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 3) -1) (fma.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 2 (cos.f64 (+.f64 eps x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 1)) 1)) (+.f64 (cos.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 1) (cos.f64 (+.f64 eps x))) (+.f64 2 (cos.f64 (+.f64 eps x))))
(/.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (/.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (+.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 3) -1) (fma.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 2 (cos.f64 (+.f64 eps x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 1)) 1) 1) (+.f64 (cos.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 (+.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 1) (cos.f64 (+.f64 eps x))) (+.f64 2 (cos.f64 (+.f64 eps x))))
(/.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (/.f64 (+.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) (+.f64 (cos.f64 (+.f64 x eps)) 1)) (+.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 3) -1) (fma.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 2 (cos.f64 (+.f64 eps x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (cos.f64 (+.f64 eps x))) (+.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(cos.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(cos.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(cos.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
0.2b
(*.f64 eps (sin.f64 x))
0.8b
(*.f64 (sin.f64 x) (pow.f64 eps 3))
7.4b
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
Compiler

Compiled 77 to 36 computations (53.2% saved)

series9.0ms (0%)

Counts
4 → 76
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
1.0ms
x
@-inf
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
1.0ms
eps
@0
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
1.0ms
eps
@inf
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
0.0ms
x
@0
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))

rewrite88.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1314×unswap-sqr
1084×swap-sqr
434×distribute-rgt-in
376×distribute-lft-in
360×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01898
136898
2423798
Stop Event
node limit
Counts
4 → 84
Calls
Call 1
Inputs
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (sin.f64 x) (pow.f64 eps 3))
(*.f64 eps (sin.f64 x))
(*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (*.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) 1) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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simplify94.0ms (0.5%)

Algorithm
egg-herbie
Rules
1516×distribute-rgt-in
1516×distribute-lft-in
636×associate-*r*
522×associate-*l*
354×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02786032
17256008
229355770
Stop Event
node limit
Counts
160 → 164
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
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(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 eps (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) eps))) 1)
(pow.f64 (*.f64 (sin.f64 x) eps) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) x) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) x) (*.f64 1/4 (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 1/4))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 x x) 1/4))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) x) (fma.f64 -1/36 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/4 (*.f64 (*.f64 eps eps) (*.f64 x x))))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) x) (fma.f64 1/4 (*.f64 eps (*.f64 eps (*.f64 x x))) (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) -1/36)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 x x) 1/4))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 x 1/6) (*.f64 (pow.f64 x 3) -1/36))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (pow.f64 eps 3) x))
(fma.f64 (pow.f64 eps 3) x (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (pow.f64 eps 3) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x)))
(fma.f64 1/120 (*.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (pow.f64 eps 3) x)))
(fma.f64 1/120 (*.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 (pow.f64 eps 3) x (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) -1/6))))
(fma.f64 1/120 (*.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 (pow.f64 eps 3) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x))))
(fma.f64 1/120 (*.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/5040 (*.f64 (pow.f64 eps 3) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (pow.f64 eps 3) x))))
(fma.f64 1/120 (*.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/5040 (*.f64 (pow.f64 eps 3) (pow.f64 x 7)) (fma.f64 (pow.f64 eps 3) x (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) -1/6)))))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
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(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3)) (pow.f64 (*.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))) 3)) (fma.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/6)))) (*.f64 1/36 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 eps 6) -1/8) (pow.f64 (*.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))) 3)) (fma.f64 (*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x))))) (*.f64 1/36 (pow.f64 (*.f64 eps (cbrt.f64 (sin.f64 x))) 6))))
(pow.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 1)
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 2)
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 3)
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 3) 1/3)
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 2))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 3))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps (*.f64 1/6 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 (sin.f64 x))) 2)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (*.f64 eps (cbrt.f64 (sin.f64 x))) 3)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3) 1/3)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 3) 3)))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))) 1))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) eps))) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) eps) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) eps)) 2)
(*.f64 eps (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3)
(*.f64 eps (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3) 1/3)
(*.f64 eps (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 2))
(*.f64 eps (sin.f64 x))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) eps))))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 eps (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) eps)) 1))
(*.f64 eps (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1)
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) 1)
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) 2)
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 3)
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) 1/3)
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (*.f64 (pow.f64 eps 4) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2))))
(fabs.f64 (*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2) (cos.f64 x)))
(*.f64 (cos.f64 x) (log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2)))
(*.f64 (cos.f64 x) (*.f64 -1/2 (log.f64 (pow.f64 (exp.f64 eps) eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3)))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 1))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (cos.f64 x)))

eval644.0ms (3.2%)

Compiler

Compiled 40905 to 14632 computations (64.2% saved)

prune652.0ms (3.3%)

Pruning

62 alts after pruning (60 fresh and 2 done)

PrunedKeptTotal
New1517501567
Fresh211031
Picked101
Done325
Total1542621604
Error
0.0b
Counts
1604 → 62
Alt Table
Click to see full alt table
StatusErrorProgram
25.9b
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))
52.1b
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
42.2b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
61.7b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
41.6b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
42.2b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
42.2b
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
41.5b
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
35.8b
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
46.8b
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3)))
26.3b
(-.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) 1) (fma.f64 (sin.f64 eps) (sin.f64 x) 1)) (cos.f64 x))
42.3b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
26.3b
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
25.9b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
30.2b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
6.7b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
43.5b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
40.4b
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
26.2b
(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
31.5b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
6.7b
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
25.9b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
25.9b
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
41.0b
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2)))
31.9b
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
42.2b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
42.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
47.9b
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
56.7b
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
47.4b
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
26.1b
(-.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
57.6b
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
42.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
57.6b
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
57.5b
(-.f64 (cos.f64 x) (cos.f64 x))
41.3b
(-.f64 (cos.f64 eps) (cos.f64 x))
41.4b
(-.f64 (cos.f64 eps) 1)
31.8b
(+.f64 (fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
7.0b
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 6)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
10.4b
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
21.2b
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
6.7b
(+.f64 (+.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
8.2b
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
18.1b
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
6.8b
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
16.5b
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
31.4b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
42.1b
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
61.7b
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
42.0b
(+.f64 -1 (cos.f64 (+.f64 x eps)))
42.2b
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
50.0b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
16.0b
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
37.6b
(*.f64 (neg.f64 eps) (sin.f64 x))
51.9b
(*.f64 -1/2 (*.f64 eps eps))
56.6b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
57.5b
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
41.5b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
61.7b
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
41.5b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
49.9b
(expm1.f64 (log.f64 (cos.f64 eps)))
41.5b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
Compiler

Compiled 1965 to 1303 computations (33.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 eps) (cos.f64 x))
0.1b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
0.2b
(*.f64 (sin.f64 x) (sin.f64 eps))
1.9b
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series3.0ms (0%)

Counts
4 → 64
Calls

24 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
0.0ms
x
@0
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
0.0ms
x
@0
(*.f64 (sin.f64 x) (sin.f64 eps))
0.0ms
eps
@inf
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
0.0ms
eps
@0
(*.f64 (sin.f64 x) (sin.f64 eps))

rewrite175.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1620×associate-*r/
1440×associate-*l/
462×associate-+l+
338×+-commutative
328×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013100
129592
2431072
Stop Event
node limit
Counts
4 → 304
Calls
Call 1
Inputs
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 eps) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) 1/2) (+.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))))

simplify212.0ms (1.1%)

Algorithm
egg-herbie
Rules
938×associate-*r*
846×+-commutative
822×associate-*l*
688×associate-+r+
528×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082923178
1224721630
Stop Event
node limit
Counts
368 → 507
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/720 (*.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(*.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
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(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) -2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) -2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) 1/2) (+.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (cos.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/40320 (*.f64 (cos.f64 x) (pow.f64 eps 8)) (fma.f64 -1/720 (*.f64 (cos.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(+.f64 (+.f64 (cos.f64 eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x))) -1)
(+.f64 (cos.f64 eps) (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)) (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x) -1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 1/720 (*.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/720 (*.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) 1))
(+.f64 (fma.f64 (+.f64 1/720 (*.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps))))
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(fma.f64 eps (sin.f64 x) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (sin.f64 x))))
(fma.f64 eps (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 eps (sin.f64 x) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) eps)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) -1)
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 (pow.f64 x 3) 1/6) (neg.f64 x))) (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 6) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 6)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 4) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 6) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 6))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 6) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 6) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 6) (*.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 6) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 6))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(*.f64 (cos.f64 x) (cos.f64 eps))
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) -2)
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) 2)
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) -2)
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 2)) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) -2)
(*.f64 1/2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 2)) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 1/2))
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2)
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) 1/2) (+.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(/.f64 (*.f64 1/2 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))) 1/2)
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (cos.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (cos.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (cos.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))

localize5.0ms (0%)

Compiler

Compiled 12 to 6 computations (50% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
0.1b
(*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
0.2b
(*.f64 eps (sin.f64 x))
Compiler

Compiled 41 to 16 computations (61% saved)

series2.0ms (0%)

Counts
3 → 52
Calls

15 calls:

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

rewrite112.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
778×distribute-rgt-in
718×distribute-lft-in
546×associate-*r/
436×associate-*l/
360×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
127961
2368161
Stop Event
node limit
Counts
3 → 225
Calls
Call 1
Inputs
(*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(sin.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (cos.f64 x)) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))))
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(pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) (*.f64 (sin.f64 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) -1/2 (*.f64 (sin.f64 x) (neg.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))))

simplify198.0ms (1%)

Algorithm
egg-herbie
Rules
1270×fma-def
1174×+-commutative
982×associate-*r*
820×associate-*l*
510×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058018347
1170116139
2767016139
Stop Event
node limit
Counts
277 → 344
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 2) (pow.f64 x 6))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 1)
(pow.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) 1)
(pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) 1/3)
(sqrt.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (cos.f64 x)) (*.f64 eps eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (*.f64 eps (sin.f64 x)) 0)) 1))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) 1))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0)) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) 1) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (fma.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 1 (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0)) (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) 1) (*.f64 2 (*.f64 (*.f64 eps (sin.f64 x)) 0))))
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) (*.f64 (*.f64 eps (sin.f64 x)) 0))) 1) (-.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3) (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) 3)) 1) (+.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2) (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) (-.f64 (*.f64 (*.f64 eps (sin.f64 x)) 0) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2))) 1) (*.f64 (neg.f64 eps) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) 1) (neg.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))) (sqrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2))) (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))) (cbrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))) (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (pow.f64 (*.f64 eps (sin.f64 x)) 2))) (/.f64 1 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) 3) (pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 3)) (/.f64 1 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (+.f64 (*.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) 3) (pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) eps) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) 1) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (sqrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (sqrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) (cbrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(fma.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 eps eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 1 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0))
(fma.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (*.f64 (*.f64 eps (sin.f64 x)) 0))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2)) (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (*.f64 (*.f64 eps (sin.f64 x)) 0))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) -1/2 (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(log1p.f64 (expm1.f64 (sin.f64 x)))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/48 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x))))
(fma.f64 -1/48 (*.f64 eps (*.f64 eps (pow.f64 x 4))) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 2) (pow.f64 x 6))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/48 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/1440 (*.f64 (*.f64 eps eps) (pow.f64 x 6)) (*.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 x x)))))
(fma.f64 -1/48 (*.f64 eps (*.f64 eps (pow.f64 x 4))) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 6) 1/1440)))))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
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(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) 1) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (sqrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (sqrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) (cbrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 -1/2 (cos.f64 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x)))) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 -1/2 (cos.f64 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x)))) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 eps (*.f64 -1/2 (cos.f64 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x)))) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))))
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1)
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3) 1/3)
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))) 2))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 1))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 eps eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 1 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 (*.f64 eps (sin.f64 x)) 0))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (*.f64 (*.f64 eps (sin.f64 x)) 0))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) 2) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) 2) (*.f64 eps (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2)) (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (*.f64 (*.f64 eps (sin.f64 x)) 0))
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))) 2)))
(*.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) 2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))) (cbrt.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))) (cbrt.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))))) (*.f64 eps (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) -1/2 (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.1b
(*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
0.2b
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
Compiler

Compiled 50 to 18 computations (64% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms
eps
@inf
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms
x
@inf
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms
x
@0
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms
x
@-inf
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
648×distribute-rgt-in
598×distribute-lft-in
546×associate-*r/
450×associate-*l/
328×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01543
131639
2419139
Stop Event
node limit
Counts
1 → 128
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
Outputs
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simplify160.0ms (0.8%)

Algorithm
egg-herbie
Rules
1016×times-frac
964×associate-*r*
904×associate-*l*
766×+-commutative
676×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036015392
1115314618
2727814610
Stop Event
node limit
Counts
152 → 231
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
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(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
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(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
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(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(-.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(-.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(-.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1 (*.f64 (sin.f64 eps) (sin.f64 x)))))
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(-.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(-.f64 0 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (-.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
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(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2)) (/.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (*.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))) (/.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (+.f64 (*.f64 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4)) (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4))) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2))))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2)) (/.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 2)) (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2)) (/.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (+.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))))) (-.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 eps eps) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 1 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) -1/2 (*.f64 (sin.f64 eps) (sin.f64 x)))
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (neg.f64 (*.f64 eps (sin.f64 x))))))
(+.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (*.f64 -1/120 (pow.f64 eps 5)))))
(+.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/120 (pow.f64 eps 5)) (*.f64 1/6 (pow.f64 eps 3)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
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(/.f64 (fma.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))) 2) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 eps (sin.f64 eps))) (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))) 2) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 eps (sin.f64 eps))) (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))) 2) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 eps (sin.f64 eps))) (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) 3) -1/8) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))) 2) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) 3) -1/8) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 eps (sin.f64 eps))) (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 2)))
(pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 1)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 2)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 3)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3) 1/3)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))) 2))
(fabs.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))) 1))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 eps eps) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 eps (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2) (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) -1/2 (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (pow.f64 eps 4))
0.1b
(*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
0.2b
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
14.4b
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
Compiler

Compiled 85 to 38 computations (55.3% saved)

series4.0ms (0%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
1.0ms
x
@0
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
1.0ms
x
@-inf
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
0.0ms
eps
@inf
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
0.0ms
eps
@0
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))

rewrite79.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1182×unswap-sqr
926×swap-sqr
538×sqr-pow
516×pow-sqr
382×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01664
132664
2372658
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
(*.f64 (cos.f64 x) (pow.f64 eps 4))
Outputs
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eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))))

simplify78.0ms (0.4%)

Algorithm
egg-herbie
Rules
1288×fma-def
1032×*-commutative
954×unswap-sqr
724×times-frac
632×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02114338
16004270
222424206
Stop Event
node limit
Counts
92 → 105
Calls
Call 1
Inputs
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/576 (pow.f64 eps 4)) (*.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 (+.f64 (*.f64 1/1440 (pow.f64 eps 2)) (*.f64 -1/17280 (pow.f64 eps 4))) (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/576 (pow.f64 eps 4)) (*.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(pow.f64 eps 4)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (pow.f64 eps 4))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4))) (pow.f64 eps 4)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 4) (pow.f64 x 6))) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 1 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1) 1) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 1 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))) 1)
(*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) -1/2)))
(*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 1)
(*.f64 1 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 3) 1/6))
(/.f64 (-.f64 (*.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 4)) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3) (pow.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) (+.f64 (*.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 4))) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) -1/2))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3) (pow.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3))) (+.f64 (*.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 4)) 1) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) -1/2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3) (pow.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) 1) (+.f64 (*.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 4) (*.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 4)) (-.f64 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 2))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)
(pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))
(cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
Outputs
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (fma.f64 1/4 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (*.f64 eps (*.f64 eps 1/4))) (*.f64 x x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 eps (*.f64 eps 1/4) (*.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/576 (pow.f64 eps 4)) (*.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (fma.f64 1/576 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/48)) (pow.f64 x 4) (*.f64 (fma.f64 1/4 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 eps (*.f64 eps -1/2) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (*.f64 eps (*.f64 eps 1/4))) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 eps 4) 1/576 (*.f64 eps (*.f64 eps -1/48))) (pow.f64 x 4)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 eps (*.f64 eps 1/4) (*.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x) (fma.f64 eps (*.f64 eps -1/2) (*.f64 (fma.f64 eps (*.f64 eps -1/48) (*.f64 (pow.f64 eps 4) 1/576)) (pow.f64 x 4)))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 (+.f64 (*.f64 1/1440 (pow.f64 eps 2)) (*.f64 -1/17280 (pow.f64 eps 4))) (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/576 (pow.f64 eps 4)) (*.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 1/1440 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/17280)) (pow.f64 x 6) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (fma.f64 1/576 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/48)) (pow.f64 x 4) (*.f64 (fma.f64 1/4 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/17280 (*.f64 eps (*.f64 eps 1/1440))) (pow.f64 x 6) (fma.f64 eps (*.f64 eps -1/2) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (*.f64 eps (*.f64 eps 1/4))) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 eps 4) 1/576 (*.f64 eps (*.f64 eps -1/48))) (pow.f64 x 4))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))

eval694.0ms (3.5%)

Compiler

Compiled 46547 to 19053 computations (59.1% saved)

prune596.0ms (3%)

Pruning

74 alts after pruning (70 fresh and 4 done)

PrunedKeptTotal
New1399351434
Fresh203555
Picked101
Done246
Total1422741496
Error
0.0b
Counts
1496 → 74
Alt Table
Click to see full alt table
StatusErrorProgram
26.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
26.0b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
52.1b
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
51.1b
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
42.2b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
61.7b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
41.6b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
32.0b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
42.2b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
42.2b
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
41.5b
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
47.8b
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
35.8b
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
31.8b
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
23.9b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
49.2b
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
7.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 3) (*.f64 (sin.f64 x) (sin.f64 eps)))
42.3b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
26.3b
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
25.9b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
9.6b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
6.7b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
6.7b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
35.8b
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
43.5b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
37.8b
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
21.2b
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
40.4b
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
26.2b
(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
44.8b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
31.6b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
34.9b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
31.9b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
6.7b
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
31.8b
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
25.9b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
25.9b
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
31.4b
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
48.9b
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
49.0b
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
42.2b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
6.8b
(-.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
42.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
47.9b
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
56.7b
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
47.4b
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
42.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
57.6b
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
57.5b
(-.f64 (cos.f64 x) (cos.f64 x))
41.3b
(-.f64 (cos.f64 eps) (cos.f64 x))
41.4b
(-.f64 (cos.f64 eps) 1)
6.8b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (*.f64 (sin.f64 x) (sin.f64 eps)))
25.6b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
33.1b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
31.5b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
31.5b
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
42.1b
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
61.7b
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
42.0b
(+.f64 -1 (cos.f64 (+.f64 x eps)))
32.0b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))))
50.0b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
16.0b
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
37.6b
(*.f64 (sin.f64 x) (neg.f64 eps))
32.0b
(*.f64 (cbrt.f64 eps) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (pow.f64 (cbrt.f64 eps) 2)))
31.5b
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
51.7b
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
51.9b
(*.f64 -1/2 (*.f64 eps eps))
56.6b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
57.5b
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
41.5b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
61.7b
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
41.5b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
49.9b
(expm1.f64 (log.f64 (cos.f64 eps)))
41.5b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
Compiler

Compiled 2166 to 1452 computations (33% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
0.1b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
0.2b
(*.f64 (sin.f64 x) (sin.f64 eps))
1.9b
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
Compiler

Compiled 59 to 12 computations (79.7% saved)

series108.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
65.0ms
eps
@inf
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
15.0ms
eps
@-inf
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
14.0ms
x
@inf
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
12.0ms
x
@-inf
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
1.0ms
x
@0
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1714×associate-*r/
1504×associate-*l/
500×associate-+l+
360×+-commutative
344×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01564
133060
2447340
Stop Event
node limit
Counts
2 → 190
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 1))))))

simplify211.0ms (1.1%)

Algorithm
egg-herbie
Rules
1838×associate-+l-
1360×associate-+r-
966×fma-def
664×associate-*r*
648×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054717450
1158516170
2636116170
Stop Event
node limit
Counts
238 → 307
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (sin.f64 eps) x)
(+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 3)) (*.f64 -1 (sin.f64 eps))) (pow.f64 x 3))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 3)) (*.f64 -1 (sin.f64 eps))) (pow.f64 x 3))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -6 (pow.f64 (sin.f64 eps) 4)) (*.f64 4 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 4))))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 2 (pow.f64 (sin.f64 x) 3))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 2 (pow.f64 (sin.f64 x) 3))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 4 (pow.f64 (sin.f64 x) 2)) (*.f64 -6 (pow.f64 (sin.f64 x) 4))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1)))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1)))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
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(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) 1)
(*.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(*.f64 1 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
(log.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 1))
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) eps)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) eps))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) eps))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x))) 1))
(+.f64 -1 (+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (-.f64 (*.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (*.f64 x x)) 1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (sin.f64 eps) x (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (sin.f64 eps) 2)))
(fma.f64 x (sin.f64 eps) (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1/2 (*.f64 x x))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 3)) (*.f64 -1 (sin.f64 eps))) (pow.f64 x 3))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (pow.f64 (sin.f64 eps) 3) (neg.f64 (sin.f64 eps)))) (fma.f64 (sin.f64 eps) x (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 3)) (sin.f64 eps))) (fma.f64 x (sin.f64 eps) (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1/2 (*.f64 x x)))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 3)) (*.f64 -1 (sin.f64 eps))) (pow.f64 x 3))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -6 (pow.f64 (sin.f64 eps) 4)) (*.f64 4 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 4))))))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (pow.f64 (sin.f64 eps) 3) (neg.f64 (sin.f64 eps)))) (fma.f64 (sin.f64 eps) x (fma.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 eps) 2)) (*.f64 1/24 (*.f64 (fma.f64 -6 (pow.f64 (sin.f64 eps) 4) (*.f64 4 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 4))))))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 3)) (sin.f64 eps))) (fma.f64 x (sin.f64 eps) (fma.f64 1/24 (*.f64 (fma.f64 4 (pow.f64 (sin.f64 eps) 2) (*.f64 -6 (pow.f64 (sin.f64 eps) 4))) (pow.f64 x 4)) (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 -1/2 (*.f64 x x))))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))))
(fma.f64 eps (sin.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (pow.f64 (sin.f64 x) 2)))
(fma.f64 eps (sin.f64 x) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/2 eps) eps)))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 2 (pow.f64 (sin.f64 x) 3))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (sin.f64 x) (*.f64 2 (pow.f64 (sin.f64 x) 3)))) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (pow.f64 (sin.f64 x) 2))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (sin.f64 x) 3) (neg.f64 (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 -1/2 eps) eps))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 2 (pow.f64 (sin.f64 x) 3))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 4 (pow.f64 (sin.f64 x) 2)) (*.f64 -6 (pow.f64 (sin.f64 x) 4))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (sin.f64 x) (*.f64 2 (pow.f64 (sin.f64 x) 3)))) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 4 (pow.f64 (sin.f64 x) 2) (*.f64 -6 (pow.f64 (sin.f64 x) 4)))) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (sin.f64 x) 3) (neg.f64 (sin.f64 x)))) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 eps 4) (*.f64 (fma.f64 4 (pow.f64 (sin.f64 x) 2) (*.f64 -6 (pow.f64 (sin.f64 x) 4))) 1/24)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
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(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 2)
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
(fabs.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 1))
(log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.4b
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite93.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
964×*-commutative
768×unswap-sqr
608×swap-sqr
520×distribute-lft-in
514×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
120119
2270719
Stop Event
node limit
Counts
1 → 176
Calls
Call 1
Inputs
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
Outputs
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simplify124.0ms (0.6%)

Algorithm
egg-herbie
Rules
1376×associate-+r+
1190×associate-/r/
984×fma-def
902×+-commutative
660×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044410546
113529012
261319000
Stop Event
node limit
Counts
200 → 254
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (*.f64 eps (neg.f64 x)))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (*.f64 (*.f64 eps x) 0)))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x))))
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(fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) 2) (cbrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) (*.f64 (*.f64 eps x) 0))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 eps (*.f64 -1/2 eps))) (*.f64 eps (neg.f64 x)))
(fma.f64 (*.f64 -1/2 eps) eps (*.f64 eps (neg.f64 x)))
Outputs
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 eps -1/2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 eps -1/2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 eps -1/2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (*.f64 eps (neg.f64 x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (*.f64 (*.f64 eps x) 0)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (fma.f64 (neg.f64 eps) x (*.f64 eps x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (fma.f64 (*.f64 eps (neg.f64 x)) 1 (*.f64 eps x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (fma.f64 (*.f64 eps (neg.f64 x)) 1 (*.f64 eps x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x))))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x))))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (*.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x))))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (+.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x))))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (*.f64 eps (*.f64 -1/2 eps)) (*.f64 (+.f64 (*.f64 eps (neg.f64 x)) (*.f64 (*.f64 eps x) 0)) 1))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 2 (*.f64 (*.f64 eps x) 0)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (fma.f64 (*.f64 eps (neg.f64 x)) 1 (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (*.f64 2 (*.f64 (*.f64 eps x) 0)) (*.f64 (*.f64 eps x) 0)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (neg.f64 eps) x (*.f64 eps x)) (*.f64 (*.f64 eps x) 0)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (*.f64 eps (neg.f64 x)) 1 (*.f64 eps x)) (*.f64 (*.f64 eps x) 0)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)) (*.f64 (*.f64 eps x) 0)))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)) (*.f64 (*.f64 eps x) 0)))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (*.f64 (*.f64 eps x) 0) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (*.f64 2 (*.f64 (*.f64 eps x) 0)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (neg.f64 eps) x (*.f64 eps x)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (*.f64 eps (neg.f64 x)) 1 (*.f64 eps x)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)) (*.f64 eps x)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)) (*.f64 2 (*.f64 (*.f64 eps x) 0))))
(fma.f64 eps (-.f64 (*.f64 eps -1/2) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 eps x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 eps (*.f64 eps -1/2)))
(+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (*.f64 (*.f64 eps x) 0) (fma.f64 (neg.f64 eps) x (*.f64 eps x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (+.f64 (*.f64 2 (*.f64 (*.f64 eps x) 0)) (fma.f64 (neg.f64 eps) x (*.f64 eps x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
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(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (fma.f64 eps -1/2 x) (*.f64 eps (*.f64 eps x)) (*.f64 (pow.f64 eps 4) 1/4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 eps)) 3) (pow.f64 (*.f64 eps x) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 x (*.f64 -1/2 eps)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 x (*.f64 -1/2 eps))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps x) 3)) 1) (fma.f64 (pow.f64 eps 4) 1/4 (*.f64 eps (*.f64 (*.f64 eps x) (+.f64 x (*.f64 eps -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (fma.f64 eps -1/2 x) (*.f64 eps (*.f64 eps x)) (*.f64 (pow.f64 eps 4) 1/4)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 eps)) 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 x (*.f64 -1/2 eps))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 x (*.f64 -1/2 eps))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 x (*.f64 -1/2 eps))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps x) 3)) 1) (fma.f64 (pow.f64 eps 4) 1/4 (*.f64 eps (*.f64 (*.f64 eps x) (+.f64 x (*.f64 eps -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (fma.f64 eps -1/2 x) (*.f64 eps (*.f64 eps x)) (*.f64 (pow.f64 eps 4) 1/4)))
(pow.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) 1)
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) 2)
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) 3)
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) 3) 1/3)
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (neg.f64 (+.f64 x (*.f64 -1/2 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 eps 4) -1/4)) (*.f64 eps (neg.f64 (+.f64 x (*.f64 eps -1/2)))))
(/.f64 (fma.f64 (pow.f64 eps 4) -1/4 (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (neg.f64 (fma.f64 eps -1/2 x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 eps)) 3) (pow.f64 (*.f64 eps x) 3)) (neg.f64 (+.f64 (*.f64 (pow.f64 eps 4) 1/4) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 x (*.f64 -1/2 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps x) 3))) (neg.f64 (fma.f64 (pow.f64 eps 4) 1/4 (*.f64 eps (*.f64 (*.f64 eps x) (+.f64 x (*.f64 eps -1/2)))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (fma.f64 eps -1/2 x) (*.f64 eps (*.f64 eps x)) (*.f64 (pow.f64 eps 4) 1/4))))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) 2))
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)) 2))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(log.f64 (exp.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) 3))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(fma.f64 (*.f64 eps eps) -1/2 (*.f64 eps (neg.f64 x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(fma.f64 1 (*.f64 eps (*.f64 -1/2 eps)) (*.f64 eps (neg.f64 x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(fma.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(fma.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) (*.f64 (*.f64 eps x) 0))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(fma.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) 2) (cbrt.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))) (*.f64 (*.f64 eps x) 0))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 eps (*.f64 -1/2 eps))) (*.f64 eps (neg.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (neg.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 eps (*.f64 eps -1/2)))) (*.f64 eps x))
(fma.f64 (*.f64 -1/2 eps) eps (*.f64 eps (neg.f64 x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 eps (neg.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 eps (*.f64 (cos.f64 x) -1/2))
0.1b
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
0.4b
(/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
0.5b
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
Compiler

Compiled 68 to 36 computations (47.1% saved)

series45.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
38.0ms
x
@-inf
(/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
1.0ms
x
@inf
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
1.0ms
x
@-inf
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
1.0ms
eps
@0
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
1.0ms
x
@inf
(/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))

rewrite116.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1568×associate-*r/
1250×associate-*l/
796×associate-/r*
436×associate-/l*
414×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015122
1319122
23813122
Stop Event
node limit
Counts
4 → 259
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) -1/2))
Outputs
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(*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 eps 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simplify262.0ms (1.3%)

Algorithm
egg-herbie
Rules
1066×associate-/l*
696×*-commutative
686×associate-*l*
678×associate-*r*
580×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067420893
1181619555
2741119555
Stop Event
node limit
Counts
355 → 412
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
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(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3)) eps) 1) (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3))) (*.f64 (sqrt.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) eps)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) eps)) (sqrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))) (sqrt.f64 (/.f64 (/.f64 -1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(/.f64 (/.f64 -1 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2)) (neg.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -2))) (neg.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 eps) (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2)))) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3)))) (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))
(/.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) -1)) (/.f64 1 eps))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) -1)) (pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2) -1)) (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) -1))
(/.f64 (/.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 1) (/.f64 1 eps))
(/.f64 (/.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (sqrt.f64 (/.f64 1 eps))) (sqrt.f64 (/.f64 1 eps)))
(/.f64 (/.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (cbrt.f64 (/.f64 1 eps)))) (cbrt.f64 (/.f64 1 eps)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 1) (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))) (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2))) (sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2) (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2))) (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (/.f64 -1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))) (sqrt.f64 (/.f64 (/.f64 -1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (/.f64 -1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))) (cbrt.f64 (/.f64 (/.f64 -1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2))) (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -2)))) (/.f64 1 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2))) 1) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))) (sqrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (cbrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))) (cbrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))) (cbrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3))) 1) (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2)) eps) 1) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2)) eps) (sqrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))) (sqrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (pow.f64 (sin.f64 x) 2)) eps) (*.f64 (cbrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))) (cbrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))) (cbrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3)) eps) 1) (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3)) eps) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) (pow.f64 (sin.f64 x) 3)) eps) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 (cos.f64 x) -1/2) (sin.f64 x))))))
(pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1)
(pow.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) -1)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))) -1))
(log1p.f64 (expm1.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)))) 1)
(pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 (cos.f64 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x))))
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(*.f64 eps (*.f64 -1/2 (cos.f64 x)))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) 2))
(fabs.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 (cos.f64 x) -1/2)))
(*.f64 eps (*.f64 -1/2 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(*.f64 eps (*.f64 -1/2 (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(*.f64 eps (*.f64 -1/2 (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(*.f64 eps (*.f64 -1/2 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))) 1))
(*.f64 eps (*.f64 -1/2 (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2))))
(*.f64 eps (*.f64 -1/2 (cos.f64 x)))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
0.5b
(expm1.f64 (cos.f64 (+.f64 x eps)))
3.7b
(cos.f64 (+.f64 x eps))
6.5b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1064×*-commutative
866×associate-*r/
700×distribute-lft-in
684×distribute-rgt-in
674×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
123947
2310347
Stop Event
node limit
Counts
3 → 183
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(expm1.f64 (cos.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
Outputs
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simplify153.0ms (0.8%)

Algorithm
egg-herbie
Rules
1292×associate-+r-
1066×fma-def
724×associate-*r*
618×associate-*l*
530×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055312355
1155011797
2714211797
Stop Event
node limit
Counts
255 → 339
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (exp.f64 (cos.f64 eps)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))) (exp.f64 (cos.f64 x)))) (exp.f64 (cos.f64 x))))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (*.f64 (sin.f64 eps) (neg.f64 x))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(+.f64 -1 (+.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (exp.f64 (cos.f64 eps)) 1)
(expm1.f64 (cos.f64 eps))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps))) 1)
(+.f64 (neg.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) (expm1.f64 (cos.f64 eps)))
(fma.f64 (neg.f64 (exp.f64 (cos.f64 eps))) (*.f64 x (sin.f64 eps)) (expm1.f64 (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (exp.f64 (cos.f64 eps))) (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (cos.f64 eps))))) -1)
(fma.f64 (neg.f64 (exp.f64 (cos.f64 eps))) (*.f64 x (sin.f64 eps)) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2))))) (expm1.f64 (cos.f64 eps))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (fma.f64 (exp.f64 (cos.f64 eps)) (*.f64 (pow.f64 x 3) (fma.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps)) (fma.f64 1/6 (sin.f64 eps) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3))))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (cos.f64 eps))))))) -1)
(+.f64 -1 (-.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) 1/6)))) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2))) (*.f64 x (*.f64 x (exp.f64 (cos.f64 eps)))) (exp.f64 (cos.f64 eps)))) (*.f64 x (*.f64 (sin.f64 eps) (exp.f64 (cos.f64 eps))))))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 x)) 1)
(expm1.f64 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x))) 1)
(+.f64 (*.f64 (neg.f64 eps) (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x)))) (expm1.f64 (cos.f64 x)))
(fma.f64 (neg.f64 eps) (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))) (expm1.f64 (cos.f64 x)))
(-.f64 (expm1.f64 (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))) 1)
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (exp.f64 (cos.f64 x))) (+.f64 (*.f64 (neg.f64 eps) (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x)))) (expm1.f64 (cos.f64 x))))
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (exp.f64 (cos.f64 x)) (fma.f64 (neg.f64 eps) (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))) (expm1.f64 (cos.f64 x))))
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (exp.f64 (cos.f64 x)) (-.f64 (expm1.f64 (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))) (exp.f64 (cos.f64 x)))) (exp.f64 (cos.f64 x))))) 1)
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (fma.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x)))) (fma.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x))))) (exp.f64 (cos.f64 x))))) -1)
(fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (+.f64 (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6)))) 1) (exp.f64 (cos.f64 x))) (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) -1))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 (*.f64 x x) -1/2)) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 (*.f64 x x) -1/2)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
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(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(cos.f64 (+.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(*.f64 1 (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(cos.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(cos.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(cos.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(cos.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 x) (sin.f64 eps))
0.5b
(+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))
0.6b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1))
10.5b
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
Compiler

Compiled 71 to 25 computations (64.8% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

18 calls:

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

rewrite131.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1240×associate-+l+
574×+-commutative
466×associate-+r+
406×add-sqr-sqrt
398×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017117
138373
2547849
Stop Event
node limit
Counts
3 → 313
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1))
(+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) 1) (*.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) (-.f64 -1 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) 1) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 1 (-.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 1 (neg.f64 (+.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (-.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule 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simplify198.0ms (1%)

Algorithm
egg-herbie
Rules
1176×+-commutative
760×associate-*r/
618×associate-+l-
602×distribute-lft-in
586×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075919627
1220218585
2774818561
Stop Event
node limit
Counts
373 → 488
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
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(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
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(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 1 (cos.f64 eps))
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(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (cos.f64 eps) (pow.f64 x 4)))))))
(+.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x)))
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(+.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))))
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(*.f64 (*.f64 (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (/.f64 1 (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps))))))
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(*.f64 (+.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1)) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1))) (-.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))) (*.f64 (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))) (cos.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 2) (*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1) (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))))) (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1) 3))))
(/.f64 (*.f64 (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))) (cos.f64 (+.f64 x eps))) (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 2) (*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1) (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))))))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) (+.f64 -1 (cos.f64 (+.f64 x eps))))) (-.f64 1 (+.f64 -1 (cos.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 2) (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 1 (cos.f64 (+.f64 x eps)))) 1) (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) (+.f64 -1 (cos.f64 (+.f64 x eps)))) (+.f64 -1 (cos.f64 (+.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3) (pow.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 2) (-.f64 (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) 3)) (+.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 1 (cos.f64 (+.f64 x eps)))) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) -1))))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) -1)) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 -1 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)))) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) (sin.f64 eps) -1)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (+.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) -1))))) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 1 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))) (*.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (+.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) -1))))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (fma.f64 (sin.f64 x) (sin.f64 eps) -1)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (+.f64 -1 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (fma.f64 (sin.f64 x) (sin.f64 eps) -1)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (+.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) -1))))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (+.f64 1 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (+.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) -1))))))
(/.f64 (neg.f64 (*.f64 (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps)))) (cos.f64 (+.f64 x eps)))) (neg.f64 (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 2) (*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) 1) (+.f64 1 (+.f64 1 (cos.f64 (-.f64 x eps))))))))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(-.f64 (+.f64 2 (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(*.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) 1))
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(*.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2)) (/.f64 1 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2)) (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) 1) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))) (neg.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1))))
(pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)
(fma.f64 (cos.f64 x) (cos.f64 eps) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(+.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
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(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(cos.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 0)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1))) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (-.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 eps) (cos.f64 x) -1))
(-.f64 (+.f64 2 (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(*.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) 1))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(*.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2)) (/.f64 1 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (-.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 eps) (cos.f64 x) -1))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 x) (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 eps) (cos.f64 x) -1)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (-.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 eps) (cos.f64 x) -1))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 x) (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 eps) (cos.f64 x) -1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2)) (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (-.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 eps) (cos.f64 x) -1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 x) (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 eps) (cos.f64 x) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) 1) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (-.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 eps) (cos.f64 x) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))) (neg.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (-.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 eps) (cos.f64 x) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 x) (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (fma.f64 (cos.f64 eps) (cos.f64 x) -1)))
(pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 3)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3) 1/3)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) 1) 2))
(fabs.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) 1))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1))))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1) 3))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1))
(exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(fma.f64 (cos.f64 x) (cos.f64 eps) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(fma.f64 (cos.f64 eps) (cos.f64 x) 1)

eval1.0s (5.2%)

Compiler

Compiled 59648 to 24518 computations (58.9% saved)

prune993.0ms (5%)

Pruning

79 alts after pruning (72 fresh and 7 done)

PrunedKeptTotal
New2126212147
Fresh145165
Picked011
Done268
Total2142792221
Error
0.0b
Counts
2221 → 79
Alt Table
Click to see full alt table
StatusErrorProgram
26.0b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
52.1b
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
51.1b
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
42.2b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
61.7b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
41.6b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
32.0b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
42.2b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
42.2b
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
41.5b
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
47.8b
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))
57.8b
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
35.8b
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
31.9b
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
31.8b
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
49.3b
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
37.8b
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
52.1b
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
56.1b
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
31.9b
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
23.9b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
7.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 3) (*.f64 (sin.f64 x) (sin.f64 eps)))
30.6b
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
26.6b
(-.f64 (-.f64 (-.f64 (+.f64 2 (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
42.3b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
26.3b
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
25.9b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
6.7b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
35.8b
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
43.5b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
37.8b
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
21.2b
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
26.2b
(-.f64 (+.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
40.4b
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
26.2b
(-.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))) (cos.f64 x))
31.6b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
31.9b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
6.7b
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
31.8b
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
25.9b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
31.4b
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
48.9b
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
49.0b
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
41.3b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
6.8b
(-.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
42.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
47.9b
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
56.7b
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
47.4b
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
42.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
57.6b
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
57.5b
(-.f64 (cos.f64 x) (cos.f64 x))
41.3b
(-.f64 (cos.f64 eps) (cos.f64 x))
41.4b
(-.f64 (cos.f64 eps) 1)
25.6b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
33.1b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
31.5b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
42.1b
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
61.7b
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
42.0b
(+.f64 -1 (cos.f64 (+.f64 x eps)))
32.0b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
31.5b
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
31.5b
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
49.0b
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
50.0b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
16.0b
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
37.6b
(*.f64 (sin.f64 x) (neg.f64 eps))
51.7b
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
54.9b
(*.f64 eps (neg.f64 x))
51.7b
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
51.9b
(*.f64 -1/2 (*.f64 eps eps))
56.6b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
57.5b
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
41.5b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
61.7b
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
41.5b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
57.1b
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
49.9b
(expm1.f64 (log.f64 (cos.f64 eps)))
41.5b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
Compiler

Compiled 1141 to 792 computations (30.6% saved)

regimes441.0ms (2.2%)

Counts
143 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 eps) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(-.f64 (+.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))) (cos.f64 x))
(-.f64 (-.f64 (-.f64 (+.f64 2 (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 3) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))))
(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (expm1.f64 (log1p.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) 1) (fma.f64 (sin.f64 eps) (sin.f64 x) 1)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2)))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (+.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 4) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 6)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
Calls

3 calls:

183.0ms
eps
174.0ms
x
41.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.5b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 2234 to 829 computations (62.9% saved)

bsearch60.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
0.0012555254466174014
0.026994173790327824
36.0ms
-15141.258689214897
-0.00040297864318082356
Results
22.0ms59×body1024valid
22.0ms161×body256valid
9.0ms34×body512valid
1.0msbody2048valid
Compiler

Compiled 647 to 451 computations (30.3% saved)

regimes504.0ms (2.5%)

Counts
113 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 eps) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(-.f64 (+.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))) (cos.f64 x))
(-.f64 (-.f64 (-.f64 (+.f64 2 (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 3) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))))
(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
Calls

3 calls:

311.0ms
x
132.0ms
eps
32.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.5b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1431 to 594 computations (58.5% saved)

bsearch73.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
0.0012555254466174014
0.026994173790327824
40.0ms
-15141.258689214897
-0.00040297864318082356
Results
32.0ms68×body1024valid
21.0ms145×body256valid
10.0ms36×body512valid
5.0msbody2048valid
Compiler

Compiled 647 to 451 computations (30.3% saved)

regimes361.0ms (1.8%)

Counts
102 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 eps) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(-.f64 (+.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))) (cos.f64 x))
(-.f64 (-.f64 (-.f64 (+.f64 2 (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
Outputs
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
Calls

3 calls:

162.0ms
x
125.0ms
eps
49.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.5b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1234 to 532 computations (56.9% saved)

bsearch86.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
0.0012555254466174014
0.026994173790327824
37.0ms
-15141.258689214897
-0.00040297864318082356
Results
30.0ms32×body512valid
28.0ms73×body1024valid
20.0ms145×body256valid
4.0msbody2048valid
Compiler

Compiled 647 to 451 computations (30.3% saved)

regimes464.0ms (2.3%)

Counts
101 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 eps) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(-.f64 (+.f64 (+.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))) (cos.f64 x))
(-.f64 (-.f64 (-.f64 (+.f64 2 (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
Outputs
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
Calls

3 calls:

250.0ms
x
131.0ms
eps
26.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.5b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1221 to 530 computations (56.6% saved)

bsearch82.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
0.0012555254466174014
0.026994173790327824
34.0ms
-15141.258689214897
-0.00040297864318082356
Results
41.0ms60×body1024valid
22.0ms149×body256valid
10.0ms42×body512valid
3.0msbody2048valid
Compiler

Compiled 654 to 458 computations (30% saved)

regimes496.0ms (2.5%)

Counts
89 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
Outputs
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
Calls

3 calls:

248.0ms
eps
138.0ms
x
85.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.5b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1004 to 450 computations (55.2% saved)

bsearch70.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
0.0012555254466174014
0.026994173790327824
39.0ms
-15141.258689214897
-0.00040297864318082356
Results
30.0ms68×body1024valid
21.0ms145×body256valid
10.0ms37×body512valid
4.0msbody2048valid
Compiler

Compiled 654 to 458 computations (30% saved)

regimes347.0ms (1.7%)

Counts
88 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
Outputs
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
Calls

3 calls:

138.0ms
x
114.0ms
eps
73.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.5b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 990 to 447 computations (54.8% saved)

bsearch72.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.0012555254466174014
0.026994173790327824
39.0ms
-15141.258689214897
-0.00040297864318082356
Results
27.0ms75×body1024valid
22.0ms136×body256valid
16.0ms43×body512valid
1.0msbody2048valid
Compiler

Compiled 645 to 467 computations (27.6% saved)

regimes389.0ms (2%)

Counts
86 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
Outputs
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
Calls

3 calls:

173.0ms
x
135.0ms
eps
30.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.5b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 962 to 441 computations (54.2% saved)

bsearch110.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
74.0ms
0.0012555254466174014
0.026994173790327824
35.0ms
-15141.258689214897
-0.00040297864318082356
Results
74.0ms67×body1024valid
20.0ms145×body256valid
11.0ms43×body512valid
1.0msbody2048valid
Compiler

Compiled 638 to 474 computations (25.7% saved)

regimes309.0ms (1.6%)

Counts
84 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (log1p.f64 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 3))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps)))) (cos.f64 x))
Outputs
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))
Calls

3 calls:

140.0ms
x
125.0ms
eps
23.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.7b3eps
6.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 913 to 415 computations (54.5% saved)

bsearch125.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
56.0ms
9.822392177907237e-40
2.6860032985148058e-20
69.0ms
-2.4113783215459094e-25
-2.898665802650079e-48
Results
70.0ms174×body1024valid
20.0ms33×body2048valid
18.0ms73×body512valid
11.0ms72×body256valid
Compiler

Compiled 850 to 626 computations (26.4% saved)

regimes146.0ms (0.7%)

Counts
75 → 1
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
Outputs
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
Calls

3 calls:

68.0ms
x
38.0ms
eps
21.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
16.0b1x
16.0b1eps
16.0b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 777 to 353 computations (54.6% saved)

regimes231.0ms (1.2%)

Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) eps)
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 eps) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1))
(/.f64 1 (/.f64 1 (/.f64 eps (/.f64 1 (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

112.0ms
x
84.0ms
eps
21.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
22.1b5x
15.1b3eps
16.6b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 398 to 200 computations (49.7% saved)

bsearch68.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
41.0ms
0.0012555254466174014
0.026994173790327824
27.0ms
-0.00040297864318082356
-4.25126234630339e-6
Results
23.0ms60×body1024valid
17.0ms127×body256valid
9.0ms35×body512valid
1.0msbody2048valid
Compiler

Compiled 322 to 234 computations (27.3% saved)

regimes205.0ms (1%)

Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

142.0ms
x
40.0ms
eps
16.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
22.2b5x
15.4b3eps
17.1b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 265 to 131 computations (50.6% saved)

bsearch57.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
0.0012555254466174014
0.026994173790327824
28.0ms
-0.00040297864318082356
-4.25126234630339e-6
Results
27.0ms67×body1024valid
16.0ms117×body256valid
9.0ms38×body512valid
1.0msbody2048valid
Compiler

Compiled 308 to 220 computations (28.6% saved)

regimes130.0ms (0.7%)

Counts
19 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 x (sin.f64 eps)))
(/.f64 1 (-.f64 (*.f64 4 (/.f64 x (pow.f64 eps 3))) (/.f64 2 (*.f64 eps eps))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/4 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (*.f64 eps x))
Outputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

97.0ms
x
29.0ms
eps
Results
ErrorSegmentsBranch
23.5b5x
16.0b3eps
Compiler

Compiled 191 to 105 computations (45% saved)

bsearch55.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
0.0012555254466174014
0.026994173790327824
28.0ms
-0.00040297864318082356
-4.25126234630339e-6
Results
22.0ms60×body1024valid
19.0ms133×body256valid
9.0ms30×body512valid
1.0msbody2048valid
Compiler

Compiled 294 to 220 computations (25.2% saved)

regimes111.0ms (0.6%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 -1 (cos.f64 (+.f64 x eps)))
(fabs.f64 (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 -1/2 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

83.0ms
x
22.0ms
eps
Results
ErrorSegmentsBranch
22.5b7x
21.9b3eps
Compiler

Compiled 138 to 80 computations (42% saved)

bsearch66.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
0.0012555254466174014
0.026994173790327824
38.0ms
-9.979540626135996e-8
-8.649575600171436e-13
Results
24.0ms62×body1024valid
20.0ms150×body256valid
13.0ms36×body512valid
6.0msbody2048valid
Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes43.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
(-.f64 (cos.f64 eps) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

26.0ms
x
15.0ms
eps
Results
ErrorSegmentsBranch
37.8b5x
32.9b3eps
Compiler

Compiled 90 to 54 computations (40% saved)

bsearch62.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
1.0180616076969638e-11
8.970247735143908e-10
25.0ms
-4.25126234630339e-6
-1.182884123106695e-6
Results
28.0ms67×body1024valid
23.0ms99×body256valid
5.0ms21×body512valid
3.0msbody2048valid
Compiler

Compiled 218 to 166 computations (23.9% saved)

regimes16.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(/.f64 1 (/.f64 -2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x))))
(/.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0))) (-.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 eps x) 0)))
Outputs
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
Calls

2 calls:

9.0ms
eps
5.0ms
x
Results
ErrorSegmentsBranch
49.0b1x
49.0b1eps
Compiler

Compiled 86 to 51 computations (40.7% saved)

regimes16.0ms (0.1%)

Accuracy

Total -8.3b remaining (-16.5%)

Threshold costs -8.3b (-16.5%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
Outputs
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (neg.f64 x))
(*.f64 -1/2 (*.f64 eps eps))
Calls

2 calls:

9.0ms
eps
6.0ms
x
Results
ErrorSegmentsBranch
50.8b2x
50.2b3eps
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch124.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
69.0ms
7.820696275513979e-131
4.499795828794302e-125
54.0ms
-1.9451660523638986e-162
-7.128094095249081e-163
Results
63.0ms84×body2048valid
56.0ms136×body1024valid
1.0msbody512valid
Compiler

Compiled 224 to 164 computations (26.8% saved)

simplify42.0ms (0.2%)

Algorithm
egg-herbie
Rules
68×+-commutative
58×*-commutative
40×sub-neg
20×neg-mul-1
20×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291697
12201697
22661697
32831697
42881697
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -1498797955988901/288230376151711744) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 x -5226737155905615/21778071482940061661655974875633165533184) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 2201533868018767/83076749736557242056487941267521536) (*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -7378697629483821/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/288230376151711744) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7378697629483821/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3112888062438487/1152921504606846976) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7378697629483821/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3804640965202595/2305843009213693952) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1851167661284901/18889465931478580854784) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5810724383218509/4611686018427387904) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -4958484807013127/1180591620717411303424) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8510837770086989/9671406556917033397649408) (*.f64 (-.f64 (*.f64 -1/2 eps) x) eps) (-.f64 (cos.f64 eps) 1)))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(if (<=.f64 eps -7699296465697155/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (*.f64 -1/2 (*.f64 eps eps)) (if (<=.f64 eps 7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 eps (neg.f64 x))
Outputs
(if (<=.f64 eps -1498797955988901/288230376151711744) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 6110483974416289/1152921504606846976) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 eps -1498797955988901/288230376151711744) (not (<=.f64 eps 1498797955988901/288230376151711744))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps))))
(if (<=.f64 x -5226737155905615/21778071482940061661655974875633165533184) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 2201533868018767/83076749736557242056487941267521536) (*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 x -5226737155905615/21778071482940061661655974875633165533184) (not (<=.f64 x 2201533868018767/83076749736557242056487941267521536))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -7378697629483821/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/288230376151711744) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7378697629483821/18446744073709551616) (not (<=.f64 eps 3458764513820541/288230376151711744))) (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3112888062438487/1152921504606846976) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7378697629483821/18446744073709551616) (not (<=.f64 eps 3112888062438487/1152921504606846976))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3804640965202595/2305843009213693952) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -7378697629483821/18446744073709551616) (not (<=.f64 eps 3804640965202595/2305843009213693952))) (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -1851167661284901/18889465931478580854784) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5810724383218509/4611686018427387904) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -1851167661284901/18889465931478580854784) (not (<=.f64 eps 5810724383218509/4611686018427387904))) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -4958484807013127/1180591620717411303424) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8510837770086989/9671406556917033397649408) (*.f64 (-.f64 (*.f64 -1/2 eps) x) eps) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -4958484807013127/1180591620717411303424) (not (<=.f64 eps 8510837770086989/9671406556917033397649408))) (+.f64 (cos.f64 eps) -1) (*.f64 eps (-.f64 (*.f64 eps -1/2) x)))
(*.f64 (-.f64 (*.f64 -1/2 eps) x) eps)
(*.f64 eps (-.f64 (*.f64 eps -1/2) x))
(if (<=.f64 eps -7699296465697155/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (*.f64 -1/2 (*.f64 eps eps)) (if (<=.f64 eps 7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (*.f64 eps (neg.f64 x)) (*.f64 -1/2 (*.f64 eps eps))))
(if (or (<=.f64 eps -7699296465697155/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (not (<=.f64 eps 7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424))) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps (neg.f64 x)))
(*.f64 eps (neg.f64 x))
Compiler

Compiled 607 to 356 computations (41.4% saved)

soundness457.0ms (2.3%)

Algorithm
egg-herbie
Rules
1352×associate-+l-
1352×associate-+l-
1342×+-commutative
1320×associate-*r*
1290×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045610932
1128310512
2592010512
043810256
112229398
260129398
084422979
1251322545
082923178
1224721630
045610932
1128310512
2592010512
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 525 to 185 computations (64.8% saved)

end256.0ms (1.3%)

Compiler

Compiled 575 to 245 computations (57.4% saved)

Profiling

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