Details

Time bar (total: 16.4s)

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)

sample4.7s (28.5%)

Results
2.3s4058×body1024valid
1.7s2081×body2048valid
477.0ms1339×body512valid
189.0ms776×body256valid
2.0msbody4096valid
Bogosity

preprocess16.0ms (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)

simplify62.0ms (0.4%)

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
59.29%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
59.29%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.42%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.56%
(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))

rewrite90.0ms (0.5%)

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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simplify194.0ms (1.2%)

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 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
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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))

eval83.0ms (0.5%)

Compiler

Compiled 7078 to 2227 computations (68.5% saved)

prune101.0ms (0.6%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New25333286
Fresh000
Picked011
Done000
Total25334287
Error
0.26%
Counts
287 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
49.98%
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
59.64%
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
59.75%
(/.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)
59.36%
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
35.98%
(-.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))
35.95%
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
76.81%
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
59.55%
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
36.14%
(-.f64 (/.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)))))) (cos.f64 x))
36.2%
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
36.08%
(-.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))
35.97%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.91%
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
35.98%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
59.31%
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
59.56%
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
72%
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
59.32%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
59.29%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
85.91%
(-.f64 (cos.f64 x) (cos.f64 x))
58.62%
(-.f64 (cos.f64 eps) (cos.f64 x))
59.06%
(-.f64 (cos.f64 eps) 1)
8.76%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
36.01%
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
51.97%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
57.85%
(*.f64 (neg.f64 eps) (sin.f64 x))
59.83%
(*.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)))))))
51.89%
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) x)))))
23.6%
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
59.45%
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
59.35%
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
84.85%
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
75.43%
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
59.43%
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
Compiler

Compiled 1159 to 706 computations (39.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.13%
(*.f64 (cos.f64 x) (cos.f64 eps))
0.18%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.4%
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
3.28%
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
Compiler

Compiled 54 to 12 computations (77.8% saved)

series9.0ms (0.1%)

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)))
1.0ms
eps
@0
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))

rewrite130.0ms (0.8%)

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (*.f64 -1 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify196.0ms (1.2%)

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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(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
3.19%
(-.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)

rewrite63.0ms (0.4%)

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)))))

simplify52.0ms (0.3%)

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)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.47%
(-.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))))
4.76%
(+.f64 x (-.f64 eps x))
5.36%
(cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
5.37%
(-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
Compiler

Compiled 204 to 80 computations (60.8% saved)

series8.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite186.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1364×associate-+l+
712×+-commutative
694×associate-+r+
480×add-sqr-sqrt
468×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017178
1432132
26923132
Stop Event
node limit
Counts
4 → 315
Calls
Call 1
Inputs
(-.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)))
(+.f64 x (-.f64 eps x))
(-.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))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (*.f64 (fma.f64 2 x eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (+.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (+.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (+.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (*.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1/2 (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1/2 (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1/2 (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify218.0ms (1.3%)

Algorithm
egg-herbie
Rules
536×+-commutative
314×fma-def
286×associate-+r+
168×*-commutative
106×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078426675
1228326675
Stop Event
unsound
Counts
411 → 450
Calls
Call 1
Inputs
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(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 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 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)))))
(+.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 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(-.f64 1 (cos.f64 eps))
(-.f64 (+.f64 1 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) (cos.f64 eps))
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))) (cos.f64 eps))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 (neg.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 (neg.f64 x)))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 (neg.f64 x))))) (cos.f64 x))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps))))
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(+.f64 (*.f64 (+.f64 eps 0) 1/2) (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1))
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(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) 1)))
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(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1/2 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1/2 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1/2 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (fma.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1 (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2) (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2) (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2) (*.f64 1/2 (fma.f64 2 x eps)))))
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(+.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))) (*.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) 1))
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(+.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 1/2 (fma.f64 2 x eps))))
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(pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(fma.f64 1 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 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 (*.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 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)))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(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 (*.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 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)))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(-.f64 1 (cos.f64 eps))
(-.f64 0 (cos.f64 eps))
(-.f64 (+.f64 1 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 0 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) (cos.f64 eps))
(+.f64 0 (-.f64 (fma.f64 (sin.f64 eps) x (neg.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))))) (cos.f64 eps))
(-.f64 (fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (+.f64 0 (fma.f64 (sin.f64 eps) x (neg.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))))) (cos.f64 eps))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 (neg.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 (neg.f64 x)))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 (neg.f64 x))))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)))) (cos.f64 x))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (+.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))) (*.f64 1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))) (*.f64 -1/2 eps))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (*.f64 (fma.f64 2 x eps) -1/2))
(*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1))
(*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) (*.f64 2 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (*.f64 (fma.f64 2 x eps) -1/2) 1) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 (fma.f64 2 x eps) -1/2 (*.f64 1/2 (+.f64 (fma.f64 2 x eps) (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (+.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))))))
(fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) (*.f64 2 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))))
(+.f64 (*.f64 (+.f64 eps 0) 1/2) (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps)))) (+.f64 (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))) (fma.f64 -1/2 (fma.f64 2 x eps) (*.f64 1/2 (fma.f64 2 x eps))))))
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(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))) (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 2)) (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) (-.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) 2))) (neg.f64 (+.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 2))) (neg.f64 (+.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))))
(pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 1)
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))) 2)
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))) 3)
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 3) 1/3)
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 2))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))) 3))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))) 1))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps))))))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(fma.f64 1 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))
(fma.f64 0 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 0 (fma.f64 2 x eps)))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.29%
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
0.82%
(log1p.f64 (cos.f64 (+.f64 x eps)))
5.56%
(cos.f64 (+.f64 x eps))
29.71%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series146.0ms (0.9%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
59.0ms
eps
@inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
35.0ms
eps
@-inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
27.0ms
x
@-inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
22.0ms
x
@inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
1.0ms
eps
@0
(log1p.f64 (cos.f64 (+.f64 x eps)))

rewrite132.0ms (0.8%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.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 (cos.f64 (+.f64 x eps)) (+.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 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (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 (cos.f64 (+.f64 x eps)) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (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 (+.f64 x 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 (+.f64 x 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 (+.f64 x 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 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify139.0ms (0.8%)

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)))))
(cos.f64 eps)
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(+.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 (+.f64 x eps)) (neg.f64 (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 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
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(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
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(/.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 (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 (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 (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 (-.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 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 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 (*.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 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 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 (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)) (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)) 2) (pow.f64 (cos.f64 x) 2)) 2) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (cos.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2))))
(/.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)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))) 1)
(*.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 1)
(*.f64 1 (log1p.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))
(pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 2))
(log.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) 0)
(+.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 1 (+.f64 (cos.f64 (+.f64 x eps)) -1))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1))
(+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) -1)
(+.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 (*.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 -1 (+.f64 (cos.f64 (+.f64 x 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 (+.f64 x eps)) 1) 1)
(-.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 (*.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 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2)
(*.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))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.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 (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 (+.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 (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 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 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 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 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 (-.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 (*.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))
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(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)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.13%
(*.f64 (cos.f64 x) (cos.f64 eps))
0.13%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
0.4%
(*.f64 (sin.f64 x) (sin.f64 eps))
4.47%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
Compiler

Compiled 47 to 10 computations (78.7% saved)

series3.0ms (0%)

Counts
3 → 44
Calls

18 calls:

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

rewrite170.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1760×associate-*r/
1578×associate-*l/
766×associate-+l+
346×+-commutative
328×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01395
129447
2428247
Stop Event
node limit
Counts
3 → 382
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.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 x) (cos.f64 eps)) (-.f64 0 (fma.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)) (neg.f64 (fma.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 (+.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)))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (neg.f64 (cos.f64 x))))))) (#(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))) (+.f64 (neg.f64 (cos.f64 x)) (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 x) (cos.f64 eps)) (+.f64 (+.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 (neg.f64 (cos.f64 x)) (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 x) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (+.f64 (neg.f64 (cos.f64 x)) (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 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) 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simplify236.0ms (1.4%)

Algorithm
egg-herbie
Rules
1150×+-commutative
1002×associate-+r+
754×associate-*r*
746×associate-+l+
688×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093326480
1247524384
Stop Event
node limit
Counts
426 → 577
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)
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(-.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))))
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(-.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 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
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(-.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)
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(*.f64 eps (sin.f64 x))
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(cos.f64 eps)
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(cos.f64 x)
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(fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.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 (+.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 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (-.f64 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 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)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (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))))
(fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 x) eps) eps) (*.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 (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)) (fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 x) eps) eps) (*.f64 eps (neg.f64 (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)) (fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 x) eps) eps) (*.f64 eps (neg.f64 (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (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 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(*.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 (pow.f64 x 3) -1/6)))
(+.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 (pow.f64 x 3) -1/6))))
(+.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 (pow.f64 x 3) -1/6))))
(*.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 (sin.f64 x) (pow.f64 eps 3)) -1/6))
(*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))
(+.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 (sin.f64 x) (pow.f64 eps 3)) -1/6)))
(fma.f64 eps (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.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 (sin.f64 x) (pow.f64 eps 3)) -1/6))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) eps)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (neg.f64 (*.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)) (neg.f64 (*.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)) (neg.f64 (*.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)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (neg.f64 (*.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)) (neg.f64 (*.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)) (neg.f64 (*.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))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (+.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)))) (neg.f64 (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (neg.f64 (cos.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (+.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 (neg.f64 (cos.f64 x)) (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) (-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x)))
(-.f64 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 2 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 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) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 6) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 6) (*.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 (-.f64 x eps))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 6) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 6))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 (-.f64 x eps)))))))
(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))
(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))
(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 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (cos.f64 (+.f64 eps x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (cos.f64 (+.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (cos.f64 (+.f64 eps x)))

eval1.4s (8.6%)

Compiler

Compiled 72001 to 30450 computations (57.7% saved)

prune987.0ms (6%)

Pruning

65 alts after pruning (62 fresh and 3 done)

PrunedKeptTotal
New2217542271
Fresh20828
Picked011
Done325
Total2240652305
Error
0.07%
Counts
2305 → 65
Alt Table
Click to see full alt table
StatusErrorProgram
35.93%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
78.97%
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
59.41%
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
81.36%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 (-.f64 eps x) 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)
60.16%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 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)
79.99%
(/.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 (fma.f64 0 (-.f64 eps x) x) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
85.24%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
59.74%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
59.49%
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
92.6%
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
51.51%
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
59.36%
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
35.97%
(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
35.95%
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
76.81%
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
36.8%
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
36.7%
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
59.29%
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
36.18%
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
35.97%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
35.98%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
36.28%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
50.23%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
8.76%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
82.21%
(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
57.73%
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.91%
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
36.19%
(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
49.98%
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
96.65%
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
89.91%
(-.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
36.01%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
59.31%
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
58.72%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
59.29%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
85.83%
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
85.91%
(-.f64 (cos.f64 x) (cos.f64 x))
58.62%
(-.f64 (cos.f64 eps) (cos.f64 x))
59.06%
(-.f64 (cos.f64 eps) 1)
30.56%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
8.66%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
30.23%
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
27.47%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
9.94%
(+.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)))
29.46%
(+.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))))
8.83%
(+.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)))))
27.43%
(+.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))))
54.94%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
51.67%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
22.73%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
91.3%
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
8.71%
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
96.45%
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
59.47%
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
51.89%
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
23.6%
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
57.85%
(*.f64 (neg.f64 eps) (sin.f64 x))
78.2%
(*.f64 -1/2 (*.f64 eps eps))
84.34%
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
90.09%
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
59.22%
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
59.13%
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
76.29%
(expm1.f64 (log.f64 (cos.f64 eps)))
59.43%
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
59.2%
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
Compiler

Compiled 2149 to 1485 computations (30.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 x)
0.01%
(sin.f64 eps)
0.28%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))))
3.19%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
Compiler

Compiled 67 to 12 computations (82.1% saved)

series4.0ms (0%)

Counts
4 → 56
Calls

18 calls:

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

rewrite87.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1016×*-commutative
720×unswap-sqr
556×swap-sqr
414×sqr-pow
410×pow-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01380
125968
2321568
Stop Event
node limit
Counts
4 → 185
Calls
Call 1
Inputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))))
(sin.f64 eps)
(sin.f64 x)
Outputs
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simplify146.0ms (0.9%)

Algorithm
egg-herbie
Rules
1336×associate-/r/
962×associate-*r*
838×+-commutative
720×associate--l+
698×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04838939
112098111
261138109
Stop Event
node limit
Counts
241 → 317
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 (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 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (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 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
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 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 0 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) -1)
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 0 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(*.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 x)))))
(*.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (-.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(*.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 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (/.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(*.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3) 1/6))
(/.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 1)
(/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) 1) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) 1) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (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 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2)) (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 1))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.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) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) -1)
(+.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 0) (cos.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 1) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) (*.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 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (-.f64 1 (*.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 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 0) (cos.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 1)
(*.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 1 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 3) 1/6))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (-.f64 (*.f64 (+.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)))) (pow.f64 (cos.f64 x) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) 1))
(pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (sin.f64 eps) 0)
(+.f64 0 (sin.f64 eps))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) -1)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
(-.f64 0 (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sin.f64 eps)))) 1)
(*.f64 (sin.f64 eps) 1)
(*.f64 (sin.f64 eps) -1)
(*.f64 1 (sin.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 1 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(*.f64 -1 (sin.f64 eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (sin.f64 eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (sin.f64 eps) 2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))) (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6))
(/.f64 (sin.f64 eps) 1)
(/.f64 (sin.f64 eps) -1)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) -1) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1))
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(neg.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 x))) -1)
(-.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)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(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)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
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 (cos.f64 eps) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.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 (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 (*.f64 (fma.f64 (cos.f64 eps) 1/24 -1/24) (pow.f64 x 4)) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.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 (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 (fma.f64 (fma.f64 (cos.f64 eps) -1/720 1/720) (pow.f64 x 6) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (*.f64 (fma.f64 (cos.f64 eps) 1/24 -1/24) (pow.f64 x 4)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
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(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
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(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))
(*.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
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(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
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(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 (cos.f64 x) (*.f64 eps eps)))))
(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 (cos.f64 x) (*.f64 eps eps))))))
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(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (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 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
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(-.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)
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(+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (cos.f64 eps)) (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)
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(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.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 -1/2 (cos.f64 x)) (*.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)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (cos.f64 x)) (*.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)) (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 (*.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
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(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))
(fma.f64 (pow.f64 eps 3) -1/6 eps)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.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)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
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(fma.f64 (cos.f64 x) (cos.f64 eps) (cos.f64 x))
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(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(sin.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 1 (pow.f64 (sin.f64 eps) 2)))
(sin.f64 eps)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(*.f64 -1 (sin.f64 eps))
(neg.f64 (sin.f64 eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (sin.f64 eps))
(sin.f64 eps)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))) (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))))
(sin.f64 eps)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2))
(sin.f64 eps)
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6))
(sin.f64 eps)
(/.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(/.f64 (sin.f64 eps) -1)
(neg.f64 (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) -1) (pow.f64 (sin.f64 eps) 2))
(neg.f64 (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) (exp.f64 (log1p.f64 (sin.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 eps)))) (sin.f64 eps)) (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 eps)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 eps)))) (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 eps)))))
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(sin.f64 eps)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(sin.f64 eps)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(sin.f64 eps)
(neg.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(fabs.f64 (sin.f64 eps))
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(sin.f64 eps)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(sin.f64 eps)
(exp.f64 (log.f64 (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (exp.f64 (log1p.f64 (sin.f64 x))) -1)
(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)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(sin.f64 x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(sin.f64 x)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2))
(sin.f64 x)
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6))
(sin.f64 x)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 x)))) (sin.f64 x)) (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 x)))) (+.f64 1 (exp.f64 (log1p.f64 (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)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(*.f64 -1/2 (*.f64 eps eps))
Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite70.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1076×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
986×add-cube-cbrt
978×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2140913
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))))))

simplify39.0ms (0.2%)

Algorithm
egg-herbie
Rules
1470×distribute-rgt-in
1446×distribute-lft-in
1164×log-prod
760×associate-*r*
704×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
193299
2347299
31912299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3) 1/3)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(+.f64 x (+.f64 x eps))
0.26%
(*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
4.76%
(+.f64 x (-.f64 eps x))
6.05%
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
Compiler

Compiled 88 to 34 computations (61.4% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
0.0ms
eps
@0
(*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
0.0ms
x
@0
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
0.0ms
x
@0
(*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
0.0ms
eps
@-inf
(*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))

rewrite93.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1234×associate-/r*
604×associate-+l+
454×+-commutative
380×add-sqr-sqrt
370×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01587
135387
2528987
Stop Event
node limit
Counts
3 → 98
Calls
Call 1
Inputs
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
(*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
(+.f64 x (+.f64 x eps))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (-.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x eps))) (/.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x eps) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x x) (exp.f64 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x x) 1) (exp.f64 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 x eps))) (sqrt.f64 (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 2) (cbrt.f64 (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 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eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))))))

simplify156.0ms (0.9%)

Algorithm
egg-herbie
Rules
1456×associate-/l*
1118×associate-+r+
950×associate-/r*
756×+-commutative
582×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03475084
19204250
239294146
Stop Event
node limit
Counts
170 → 204
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 1)
(*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)
(*.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))))))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2) (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (+.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x eps)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (-.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x eps))) (/.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x (+.f64 x eps))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (+.f64 x eps)))) 1)
(-.f64 (+.f64 x (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (+.f64 (+.f64 x eps) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x x) (exp.f64 (log1p.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 x x) 1) (exp.f64 (log1p.f64 eps))) 1)
(*.f64 (+.f64 x (+.f64 x eps)) 1)
(*.f64 1 (+.f64 x (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x eps))) (sqrt.f64 (+.f64 x (+.f64 x eps))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 2) (cbrt.f64 (+.f64 x (+.f64 x eps))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))
(/.f64 (+.f64 x (+.f64 x eps)) 1)
(/.f64 1 (/.f64 (-.f64 x (+.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (-.f64 x (+.f64 x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 eps (-.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (+.f64 x (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3)) (-.f64 (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (*.f64 (+.f64 x x) eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1) (+.f64 eps (-.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) 1) (-.f64 x (+.f64 x eps)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (sqrt.f64 (-.f64 x (+.f64 x eps)))) (sqrt.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (*.f64 (cbrt.f64 (-.f64 x (+.f64 x eps))) (cbrt.f64 (-.f64 x (+.f64 x eps))))) (cbrt.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (sqrt.f64 (+.f64 eps (-.f64 x x)))) (sqrt.f64 (+.f64 eps (-.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (cbrt.f64 (+.f64 eps (-.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x x))) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x x))) 2)) (cbrt.f64 (+.f64 eps (-.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2))) (/.f64 1 (+.f64 x (-.f64 x eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)))
(pow.f64 (+.f64 x (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x eps))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 1 x (+.f64 x eps))
(fma.f64 1 (+.f64 x eps) x)
(fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))
Outputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/2) (*.f64 x x) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))
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(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 -1/8 (*.f64 eps (*.f64 eps (sin.f64 x))) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
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(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 1/2 eps) (sin.f64 x))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (*.f64 1/2 eps) (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (*.f64 (*.f64 1/2 eps) (sin.f64 x))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (*.f64 1/2 eps) (sin.f64 x)))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4))))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 1)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(*.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(pow.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
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(log.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps x))
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(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (sqrt.f64 (-.f64 x (+.f64 x eps)))) (sqrt.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (-.f64 0 eps))
(/.f64 (*.f64 (fma.f64 x 2 eps) (neg.f64 eps)) (neg.f64 eps))
(/.f64 (fma.f64 x 2 eps) (/.f64 eps eps))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (*.f64 (cbrt.f64 (-.f64 x (+.f64 x eps))) (cbrt.f64 (-.f64 x (+.f64 x eps))))) (cbrt.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (-.f64 0 eps))
(/.f64 (*.f64 (fma.f64 x 2 eps) (neg.f64 eps)) (neg.f64 eps))
(/.f64 (fma.f64 x 2 eps) (/.f64 eps eps))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x eps))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x))) (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))))
(/.f64 (*.f64 (fma.f64 x 2 eps) (neg.f64 eps)) (*.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 x 2 eps) (/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 eps x)))) (neg.f64 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) 1) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 x x (*.f64 eps (+.f64 eps x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) 1) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 x x (*.f64 eps (+.f64 eps x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 eps (-.f64 x x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) 1) (fma.f64 x x (*.f64 (+.f64 eps x) (+.f64 eps 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)) (fma.f64 x x (*.f64 eps (+.f64 eps x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (sqrt.f64 (+.f64 eps (-.f64 x x)))) (sqrt.f64 (+.f64 eps (-.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (-.f64 0 eps))
(/.f64 (*.f64 (fma.f64 x 2 eps) (neg.f64 eps)) (neg.f64 eps))
(/.f64 (fma.f64 x 2 eps) (/.f64 eps eps))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (cbrt.f64 (+.f64 eps (-.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x x))) 2))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (-.f64 0 eps))
(/.f64 (*.f64 (fma.f64 x 2 eps) (neg.f64 eps)) (neg.f64 eps))
(/.f64 (fma.f64 x 2 eps) (/.f64 eps eps))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x x))) 2)) (cbrt.f64 (+.f64 eps (-.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) 2)) (-.f64 0 eps))
(/.f64 (*.f64 (fma.f64 x 2 eps) (neg.f64 eps)) (neg.f64 eps))
(/.f64 (fma.f64 x 2 eps) (/.f64 eps eps))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2))) (/.f64 1 (+.f64 x (-.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 x x)) (*.f64 (/.f64 1 (-.f64 (+.f64 x x) eps)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2))))
(*.f64 (+.f64 x (-.f64 x eps)) (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (*.f64 eps (+.f64 x (-.f64 x eps)))))
(*.f64 (-.f64 x (-.f64 eps x)) (/.f64 (fma.f64 x 2 eps) (/.f64 (*.f64 eps (-.f64 x (-.f64 eps x))) eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) 1) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x)))))
(*.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (+.f64 eps (*.f64 x -2)))) (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x)))) (*.f64 eps (fma.f64 x 2 eps))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 x x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))))
(/.f64 (*.f64 (fma.f64 x 2 eps) eps) (*.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))))
(/.f64 (*.f64 eps (fma.f64 x 2 eps)) (*.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x))))
(pow.f64 (+.f64 x (+.f64 x eps)) 1)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x eps))) 2)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 3)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3) 1/3)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 x eps) 2))
(fabs.f64 (fma.f64 x 2 eps))
(log.f64 (exp.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x eps)))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(exp.f64 (log.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x eps))) 1))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 1 x (+.f64 x eps))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 1 (+.f64 x eps) x)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)

localize39.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.22%
(expm1.f64 (log1p.f64 (cos.f64 eps)))
0.51%
(log1p.f64 (cos.f64 eps))
25.2%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series27.0ms (0.2%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
14.0ms
eps
@-inf
(log1p.f64 (cos.f64 eps))
11.0ms
eps
@inf
(log1p.f64 (cos.f64 eps))
0.0ms
eps
@0
(log1p.f64 (cos.f64 eps))
0.0ms
eps
@0
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
0.0ms
x
@0
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))

rewrite108.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1996×add-sqr-sqrt
1978×*-un-lft-identity
1842×add-cube-cbrt
1822×add-cbrt-cube
196×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
120429
2240629
Stop Event
node limit
Counts
3 → 75
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
(log1p.f64 (cos.f64 eps))
(expm1.f64 (log1p.f64 (cos.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((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 (-.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 (-.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 (neg.f64 (cos.f64 x)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))) (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 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 (exp.f64 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 eps))) (sqrt.f64 (log1p.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 2) (cbrt.f64 (log1p.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.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 (+.f64 (cos.f64 eps) 1) 1)))) (#(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 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) 1) (+.f64 (+.f64 (cos.f64 eps) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))))

simplify97.0ms (0.6%)

Algorithm
egg-herbie
Rules
1030×unswap-sqr
782×associate-+l+
682×associate-+r+
656×distribute-lft-in
582×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02252285
15412189
223822183
Stop Event
node limit
Counts
123 → 127
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (log.f64 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 eps 4))))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/1440 (pow.f64 eps 6)) (*.f64 -1/96 (pow.f64 eps 4)))))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (cos.f64 eps)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (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)))
(+.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)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))) (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 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 (exp.f64 (-.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))))
(fma.f64 1 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 eps)))) 1)
(*.f64 (log1p.f64 (cos.f64 eps)) 1)
(*.f64 1 (log1p.f64 (cos.f64 eps)))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 eps))) (sqrt.f64 (log1p.f64 (cos.f64 eps))))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 2) (cbrt.f64 (log1p.f64 (cos.f64 eps))))
(pow.f64 (log1p.f64 (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 2))
(log.f64 (+.f64 (cos.f64 eps) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 eps))) 1))
(+.f64 (+.f64 (cos.f64 eps) 1) -1)
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) 1) (+.f64 (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) 1) 1))))
(pow.f64 (cos.f64 eps) 1)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(log.f64 (exp.f64 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(log1p.f64 (expm1.f64 (cos.f64 eps)))
Outputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6)))) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1))) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 1/2 (*.f64 x x)) 1))
(+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) -1)))
(+.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) -1)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (log.f64 2))
(fma.f64 -1/4 (*.f64 eps eps) (log.f64 2))
(fma.f64 (*.f64 eps eps) -1/4 (log.f64 2))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (+.f64 (log.f64 2) (*.f64 -1/96 (pow.f64 eps 4))))
(+.f64 (fma.f64 -1/4 (*.f64 eps eps) (log.f64 2)) (*.f64 (pow.f64 eps 4) -1/96))
(fma.f64 (*.f64 eps eps) -1/4 (fma.f64 (pow.f64 eps 4) -1/96 (log.f64 2)))
(+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/1440 (pow.f64 eps 6)) (*.f64 -1/96 (pow.f64 eps 4)))))
(fma.f64 -1/4 (*.f64 eps eps) (+.f64 (log.f64 2) (fma.f64 -1/1440 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) -1/96))))
(+.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2)) (fma.f64 (pow.f64 eps 4) -1/96 (*.f64 (pow.f64 eps 6) -1/1440)))
(+.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2)) (fma.f64 (pow.f64 eps 6) -1/1440 (*.f64 (pow.f64 eps 4) -1/96)))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(-.f64 (cos.f64 eps) (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)))
(-.f64 (cos.f64 eps) (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)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))))
(*.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 x eps) 2))))
(*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (*.f64 (sin.f64 (/.f64 (+.f64 x eps) 2)) -2))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))) (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(-.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
(-.f64 (cos.f64 eps) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(-.f64 (cos.f64 eps) (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(-.f64 (cos.f64 eps) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
(-.f64 (cos.f64 eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 1 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 eps)))) 1)
(log1p.f64 (cos.f64 eps))
(*.f64 (log1p.f64 (cos.f64 eps)) 1)
(log1p.f64 (cos.f64 eps))
(*.f64 1 (log1p.f64 (cos.f64 eps)))
(log1p.f64 (cos.f64 eps))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 eps))) (sqrt.f64 (log1p.f64 (cos.f64 eps))))
(log1p.f64 (cos.f64 eps))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 2))
(log1p.f64 (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 2) (cbrt.f64 (log1p.f64 (cos.f64 eps))))
(log1p.f64 (cos.f64 eps))
(pow.f64 (log1p.f64 (cos.f64 eps)) 1)
(log1p.f64 (cos.f64 eps))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 eps))) 2)
(log1p.f64 (cos.f64 eps))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 eps))) 3)
(log1p.f64 (cos.f64 eps))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 3) 1/3)
(log1p.f64 (cos.f64 eps))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 2))
(log1p.f64 (cos.f64 eps))
(log.f64 (+.f64 (cos.f64 eps) 1))
(log1p.f64 (cos.f64 eps))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 eps)) 3))
(log1p.f64 (cos.f64 eps))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 eps))))
(log1p.f64 (cos.f64 eps))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 eps))))
(log1p.f64 (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 eps))) 1))
(log1p.f64 (cos.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) 1) -1)
(cos.f64 eps)
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(cos.f64 eps)
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(cos.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) 1) (+.f64 (+.f64 (cos.f64 eps) 1) 1))
(cos.f64 eps)
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3) -1) (fma.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3)) (fma.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps)) (+.f64 2 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 eps)) (+.f64 2 (cos.f64 eps)))))
(pow.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(cos.f64 eps)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(cos.f64 eps)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(cos.f64 eps)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(cos.f64 eps)
(log.f64 (exp.f64 (cos.f64 eps)))
(cos.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(cos.f64 eps)
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(cos.f64 eps)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 eps)
0.14%
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
0.4%
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
4.47%
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
Compiler

Compiled 46 to 10 computations (78.3% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite108.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
738×distribute-rgt-in
694×distribute-lft-in
646×associate-*r/
508×associate-*l/
308×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01499
128987
2376587
Stop Event
node limit
Counts
3 → 199
Calls
Call 1
Inputs
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
Outputs
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simplify238.0ms (1.4%)

Algorithm
egg-herbie
Rules
1680×associate--r+
978×fma-def
670×associate-*r*
558×associate-*l*
526×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053717649
1148816859
2781516859
Stop Event
node limit
Counts
271 → 359
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 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
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(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (+.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 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (+.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 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (+.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 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) 1) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) 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 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) 1) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.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 (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 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (*.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (cos.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 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) 1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.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 (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)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 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))))))
(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)) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 -1 (*.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (*.f64 x (sin.f64 eps))))
(*.f64 (sin.f64 eps) (+.f64 (neg.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 -1 (*.f64 x (sin.f64 eps)))))
(fma.f64 -1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (*.f64 x (sin.f64 eps)))))
(-.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 x (sin.f64 eps)))
(+.f64 (*.f64 -1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(fma.f64 -1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 1/5040 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (*.f64 x (sin.f64 eps))))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7)))))
(*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
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(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 eps) (cos.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)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) 1) (fma.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))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))) (sqrt.f64 (fma.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))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (fma.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))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))
(pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 2)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 3)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) 2))
(fabs.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) 3))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))

eval356.0ms (2.2%)

Compiler

Compiled 30910 to 10915 computations (64.7% saved)

prune357.0ms (2.2%)

Pruning

83 alts after pruning (78 fresh and 5 done)

PrunedKeptTotal
New1106311137
Fresh104757
Picked101
Done257
Total1119831202
Error
0.03%
Counts
1202 → 83
Alt Table
Click to see full alt table
StatusErrorProgram
8.66%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
35.93%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
59.41%
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
81.36%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 (-.f64 eps x) 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)
60.16%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 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)
79.99%
(/.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 (fma.f64 0 (-.f64 eps x) x) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
85.24%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
59.74%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
59.49%
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
92.6%
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
51.51%
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
59.36%
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
35.97%
(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
76.19%
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 2) (cos.f64 x))
36.7%
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
59.29%
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
36.18%
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
35.97%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
35.98%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
36.28%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
8.76%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
82.21%
(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
57.73%
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.91%
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
36.19%
(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
85.9%
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
49.98%
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
96.65%
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
89.91%
(-.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
36.01%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
71.69%
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
58.67%
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
79.02%
(-.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2))) (cos.f64 x))
58.72%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
59.29%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
85.83%
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
58.62%
(-.f64 (cos.f64 eps) (cos.f64 x))
59.06%
(-.f64 (cos.f64 eps) 1)
84.11%
(-.f64 1 (cos.f64 x))
9.32%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
18.1%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
17.64%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
30.56%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
36.02%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (log.f64 (exp.f64 (sin.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
25.03%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
8.66%
(+.f64 (fma.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
9.16%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
30.23%
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
27.47%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
9.94%
(+.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)))
29.46%
(+.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))))
8.83%
(+.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)))))
51.67%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
22.73%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
91.3%
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
8.71%
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
96.45%
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
59.47%
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
38.16%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 2) -2)
51.15%
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
24.64%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 3) -2)
60.18%
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
87.97%
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 (-.f64 eps x) x) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
56.44%
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
67.24%
(*.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 eps 0)) 2) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
75.84%
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) -2)
84.25%
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
64.5%
(*.f64 (*.f64 (sin.f64 (/.f64 (sqrt.f64 (*.f64 eps eps)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
23.52%
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
56.21%
(*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (*.f64 (sin.f64 (/.f64 (+.f64 x eps) 2)) -2))
57.85%
(*.f64 (neg.f64 eps) (sin.f64 x))
36.49%
(*.f64 (fabs.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) -2)
46.01%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 3)) -2)
45.98%
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3))) -2)
78.2%
(*.f64 -1/2 (*.f64 eps eps))
84.34%
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
90.09%
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
58.78%
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
59.22%
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
59.13%
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
76.29%
(expm1.f64 (log.f64 (cos.f64 eps)))
58.77%
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
59.2%
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
Compiler

Compiled 2875 to 1999 computations (30.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 eps)
0.13%
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.28%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
3.19%
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 40 to 17 computations (57.5% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms
x
@inf
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
0.0ms
eps
@inf
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
0.0ms
eps
@-inf
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
0.0ms
x
@-inf
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))

rewrite107.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
836×associate-*r/
702×associate-*l/
692×distribute-rgt-in
652×distribute-lft-in
320×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
130969
2387369
Stop Event
node limit
Counts
3 → 211
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) (+.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 (+.f64 (cos.f64 eps) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(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 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -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 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)) (+.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) 1) (-.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) 1) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) -1) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) -1) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 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 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (*.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (*.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 (cos.f64 eps) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (*.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (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 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))))))

simplify219.0ms (1.3%)

Algorithm
egg-herbie
Rules
942×+-commutative
864×associate-*r*
842×associate-/l*
734×associate-*l*
534×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054911377
1150910881
2706010863
Stop Event
node limit
Counts
271 → 360
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 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.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) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (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 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))) 1)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.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 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (*.f64 -1/720 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))))) 1)
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) 1)
(*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1)
(*.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1) 1) (neg.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) 1)
(/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 1 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 eps)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cos.f64 x)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
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)))
(+.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))))
(+.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)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.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 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 (cos.f64 eps) -1)))) 1))
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(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (cos.f64 x) (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x))
(*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (cos.f64 x) (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(*.f64 -1/2 (*.f64 eps eps))
2.57%
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1854×add-sqr-sqrt
1830×*-un-lft-identity
1722×add-cube-cbrt
1712×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119813
2263613
Stop Event
node limit
Counts
1 → 48
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/2 (*.f64 eps eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (cbrt.f64 (*.f64 eps eps)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1))) (-.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1)) (fma.f64 -1/2 (*.f64 eps eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 eps eps)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) -1)))))

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Rules
1314×associate-/l*
948×associate-/r*
900×associate-+r-
882×associate-*r*
874×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241656
13001550
29281538
339871538
Stop Event
node limit
Counts
60 → 67
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1))
(+.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1))
(+.f64 (*.f64 -1/2 (*.f64 eps eps)) 0)
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 eps eps) 1))
(*.f64 1 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (*.f64 eps eps) -1/2)
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)
(*.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (cbrt.f64 (*.f64 eps eps)) -1/2))
(*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (*.f64 -1/2 eps) eps)
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))
(*.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 -1/2 eps) 1) eps)
(*.f64 (*.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 (*.f64 -1/2 eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1))) (-.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1)) (fma.f64 -1/2 (*.f64 eps eps) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))
(pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 eps eps)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)
(fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) -1)
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(+.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(+.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(+.f64 (*.f64 -1/2 (*.f64 eps eps)) 0)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(+.f64 -1 (fma.f64 -1/2 (*.f64 eps eps) 1))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (*.f64 eps eps) -1/2)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (cbrt.f64 (*.f64 eps eps)) -1/2))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 -1/2 (cbrt.f64 (*.f64 eps eps))))
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))))
(*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 eps (*.f64 -1/2 eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 eps (*.f64 -1/2 eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))
(*.f64 (*.f64 -1/2 eps) eps)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (fma.f64 -1/2 (*.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2)) (fma.f64 eps (*.f64 -1/2 eps) 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (*.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(*.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps eps)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 -1/2 (cbrt.f64 (*.f64 eps eps))))
(*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))))
(*.f64 (*.f64 (*.f64 -1/2 eps) 1) eps)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (*.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (*.f64 (*.f64 -1/2 eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(*.f64 (*.f64 -1/2 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)))
(*.f64 -1/2 (*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 eps (cbrt.f64 eps))))
(*.f64 -1/2 (*.f64 eps (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps))))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2)))) (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1))
(fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1)
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (fma.f64 -1/2 (*.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2)) (fma.f64 eps (*.f64 -1/2 eps) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (*.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (fma.f64 -1/2 (*.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2)) (fma.f64 eps (*.f64 -1/2 eps) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (fma.f64 -1/2 (*.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2)) (fma.f64 eps (*.f64 -1/2 eps) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (*.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (*.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1))) (-.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1)))
(/.f64 (fma.f64 (fma.f64 eps (*.f64 -1/2 eps) -1) (fma.f64 eps (*.f64 eps 1/2) 1) 1) (+.f64 (*.f64 eps (*.f64 eps 1/2)) 2))
(/.f64 (fma.f64 (fma.f64 eps (*.f64 -1/2 eps) -1) (fma.f64 eps (*.f64 eps 1/2) 1) 1) (+.f64 2 (*.f64 eps (*.f64 eps 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1)) (fma.f64 -1/2 (*.f64 eps eps) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) -1) 3)) (fma.f64 (fma.f64 eps (*.f64 -1/2 eps) -1) (+.f64 (*.f64 eps (*.f64 -1/2 eps)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (fma.f64 -1/2 (*.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2)) (fma.f64 eps (*.f64 -1/2 eps) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (*.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 eps eps)) -1/2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))) 1))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(fma.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2)))) (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) -1)
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.38%
(cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps))))))
1.47%
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))))
5.37%
(-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps))))
5.42%
(cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))
Compiler

Compiled 208 to 50 computations (76% saved)

series4.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))))
0.0ms
x
@0
(cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))
0.0ms
eps
@0
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))))
0.0ms
x
@0
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))))
0.0ms
eps
@0
(cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))

rewrite68.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
536×add-sqr-sqrt
526×*-un-lft-identity
524×pow1
502×add-exp-log
502×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019182
1491140
Stop Event
node limit
Counts
4 → 115
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))
(-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps))))
(-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))))
(cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps eps) x)))) (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (-.f64 (neg.f64 x) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps x) (-.f64 0 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) (fma.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) 1 (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (+.f64 x eps)))) (sqrt.f64 (+.f64 x (+.f64 x eps))) (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (+.f64 x eps)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 2) (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 eps (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))) (sqrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))) (pow.f64 (cbrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))) 2) (cbrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 x (+.f64 x eps)) 2)) (/.f64 1 (+.f64 x (+.f64 (+.f64 eps eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (+.f64 x eps)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (+.f64 (+.f64 eps eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (+.f64 x (+.f64 x eps)))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (+.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 (+.f64 eps eps) x)) (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 x (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (+.f64 (+.f64 eps eps) x)))) (-.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (+.f64 x eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 x (+.f64 x eps)) 2)) (+.f64 x (+.f64 (+.f64 eps eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (+.f64 x eps)) 3)) (fma.f64 eps eps (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (+.f64 (+.f64 eps eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) (-.f64 (neg.f64 x) (+.f64 x eps)))) (+.f64 x (+.f64 (+.f64 eps eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) 3)) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) (-.f64 (neg.f64 x) (+.f64 x eps))) (*.f64 eps (-.f64 (neg.f64 x) (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 x (+.f64 x eps)) 2))) (neg.f64 (+.f64 x (+.f64 (+.f64 eps eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (+.f64 x eps)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (+.f64 (+.f64 eps eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (+.f64 x (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 eps (+.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (-.f64 (neg.f64 x) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (-.f64 (neg.f64 x) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (-.f64 (neg.f64 x) (+.f64 x eps)))))))
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simplify109.0ms (0.7%)

Algorithm
egg-herbie
Rules
1058×associate--r+
1054×+-commutative
946×associate-+r-
932×associate-+l-
680×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03658727
19247245
245327235
Stop Event
node limit
Counts
211 → 244
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 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 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))))))
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(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
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(/.f64 1 (/.f64 (+.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 2)) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))) (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 3) (pow.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 2))) (neg.f64 (+.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))) (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))))))))
(pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x)))))))
(fma.f64 1 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps eps) x))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))))) 1)
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
(pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
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 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) (*.f64 x (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (*.f64 (*.f64 -1/2 x) x)) (fma.f64 x (sin.f64 eps) (neg.f64 (cos.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) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (-.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x))) (*.f64 x (sin.f64 eps)))))
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (*.f64 -1/2 x) x))))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (neg.f64 (*.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)) (neg.f64 (*.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)) (neg.f64 (*.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 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(cos.f64 (+.f64 eps (*.f64 x 1)))
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 x))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 (*.f64 -1 x))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (cos.f64 (neg.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (cos.f64 x))
(fma.f64 eps (sin.f64 x) (-.f64 (cos.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (cos.f64 (neg.f64 x)))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (cos.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 (*.f64 -1 x))))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 (neg.f64 x))))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (cos.f64 x) (fma.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6 (cos.f64 x)))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6 (cos.f64 x)))) (cos.f64 x))
(-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 eps (*.f64 x 1))))
(-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))))
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(cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps x) (+.f64 eps x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x)))))
(cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps)))))))
(cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps x) (+.f64 eps x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x)))))
(cos.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.11%
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
0.46%
(pow.f64 (cos.f64 eps) 2)
4.19%
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series1.0ms (0%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(pow.f64 (cos.f64 eps) 2)
0.0ms
eps
@-inf
(pow.f64 (cos.f64 eps) 2)
0.0ms
eps
@0
(pow.f64 (cos.f64 eps) 2)
0.0ms
eps
@0
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
0.0ms
x
@0
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
854×*-commutative
680×unswap-sqr
500×swap-sqr
414×associate-*r/
382×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
123031
2262831
Stop Event
node limit
Counts
3 → 197
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
(pow.f64 (cos.f64 eps) 2)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4))) (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)) (cbrt.f64 (cos.f64 eps))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/4) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 eps) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) 6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) (*.f64 1/2 (cos.f64 (+.f64 eps eps))))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (cbrt.f64 (cos.f64 eps)))) (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (cbrt.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) (exp.f64 (log1p.f64 (cos.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))))

simplify132.0ms (0.8%)

Algorithm
egg-herbie
Rules
1342×associate-+l-
1112×associate-+r-
826×fma-def
730×associate-*r*
602×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05269669
113709135
265289135
Stop Event
node limit
Counts
237 → 311
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (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)))
(+.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)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.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 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.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))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.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))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.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))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.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))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) 1))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) 1))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
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(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (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))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.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)))) (-.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))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) (exp.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 eps) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 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)
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 (cos.f64 eps) (cos.f64 x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.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))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 1 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps))))
(+.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))
(+.f64 1/2 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) -1)
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) 1)
(*.f64 (pow.f64 (cos.f64 eps) 2) 1)
(*.f64 (cos.f64 eps) (cos.f64 eps))
(*.f64 1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(*.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 1/2)
(*.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (pow.f64 (cos.f64 eps) 2))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4))) (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)) (cbrt.f64 (cos.f64 eps))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/4) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/4))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) 6) 1/6))
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps)))))
(/.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 1) 2)
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) (*.f64 1/2 (cos.f64 (+.f64 eps eps))))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) 1))
(sqrt.f64 (pow.f64 (cos.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 eps) 2))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 6))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 2)))
(+.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) -1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)
(*.f64 (cos.f64 eps) 1)
(*.f64 (cos.f64 eps) (pow.f64 1 1/2))
(*.f64 1 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 1 1/2) (cos.f64 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 4) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (cbrt.f64 (cos.f64 eps)))) (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (cbrt.f64 (cos.f64 eps)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) (exp.f64 (log1p.f64 (cos.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1))
(pow.f64 (pow.f64 (cos.f64 eps) 2) 1/2)
(pow.f64 (cos.f64 eps) 1)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(fabs.f64 (cos.f64 eps))
(log.f64 (exp.f64 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (cos.f64 eps)))
Outputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6)))) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1))) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 1/2 (*.f64 x x)) 1))
(+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) -1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) -1)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (neg.f64 (*.f64 eps eps)))
(-.f64 1 (*.f64 eps eps))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4))))
(+.f64 1 (fma.f64 -1 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) 1/3)))
(+.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (pow.f64 eps 4) 1/3))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) -2/45))))
(+.f64 (-.f64 1 (*.f64 eps eps)) (fma.f64 (pow.f64 eps 4) 1/3 (*.f64 (pow.f64 eps 6) -2/45)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (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)))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (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)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (-.f64 (cos.f64 x) (cos.f64 x))) (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)))
(+.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)))
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (cbrt.f64 (cos.f64 eps)))) (*.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (cbrt.f64 (cos.f64 eps)))))
(cos.f64 eps)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2))
(cos.f64 eps)
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6))
(cos.f64 eps)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) (exp.f64 (log1p.f64 (cos.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cos.f64 eps)))) (cos.f64 eps)) (+.f64 1 (exp.f64 (log1p.f64 (cos.f64 eps)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 eps)))) (+.f64 1 (exp.f64 (log1p.f64 (cos.f64 eps)))))
(pow.f64 (pow.f64 (cos.f64 eps) 2) 1/2)
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(cos.f64 eps)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(cos.f64 eps)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(cos.f64 eps)
(fabs.f64 (cos.f64 eps))
(cos.f64 eps)
(log.f64 (exp.f64 (cos.f64 eps)))
(cos.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(cos.f64 eps)

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.52%
(pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3)
0.71%
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)
6.05%
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
22.89%
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3)))
Compiler

Compiled 140 to 66 computations (52.9% saved)

series8.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)
1.0ms
x
@0
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)
1.0ms
eps
@0
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)
1.0ms
eps
@-inf
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)
1.0ms
x
@inf
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1758×associate-*l/
460×associate-+l+
418×add-sqr-sqrt
404×*-un-lft-identity
398×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019126
143362
2576362
Stop Event
node limit
Counts
4 → 91
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3)))
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
(pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)
(pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 1/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))))

simplify92.0ms (0.6%)

Algorithm
egg-herbie
Rules
1518×associate-+r+
1082×associate-*r*
894×+-commutative
818×associate-*l*
672×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03115561
19215257
243045079
Stop Event
node limit
Counts
187 → 179
Calls
Call 1
Inputs
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))) 1)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6))
(fabs.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
Outputs
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2)))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 (*.f64 x x) -1/2) 1)))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) (fma.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 1/2 eps))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 -1/12 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4))))))
(+.f64 (fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 -1/12 (pow.f64 eps 3))))) (*.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) -1/48)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 x x) -1/2) 1)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 x x) -1/2) 1))) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 -1/8 (*.f64 eps (*.f64 eps (sin.f64 x))) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/8 (*.f64 eps (*.f64 eps (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/48) (*.f64 1/2 eps)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps))) (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps))))) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(fma.f64 (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(fma.f64 x (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps))) (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps))))) x) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)) (*.f64 (*.f64 x x) (fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))))))
(fma.f64 x (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (fma.f64 (*.f64 x x) (fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))
(fma.f64 x (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (fma.f64 (*.f64 x x) (fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) -3/2))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps))) (*.f64 2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps))))) x) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (+.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))) (*.f64 -1/6 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cos.f64 (*.f64 1/2 eps))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)) (fma.f64 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) -4/3) (fma.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (pow.f64 x 3) (*.f64 (*.f64 x x) (fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))))))))
(+.f64 (fma.f64 x (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)) (fma.f64 (*.f64 x x) (fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -4/3) (-.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/6 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))
(+.f64 (fma.f64 x (*.f64 3 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)) (*.f64 (*.f64 x x) (+.f64 (fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) -3/2))) (*.f64 x (+.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -7/6)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -7/3))))))
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 x) 3)
(+.f64 (*.f64 eps (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 1/2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))) (pow.f64 (sin.f64 x) 3))
(fma.f64 eps (*.f64 3/2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3))
(fma.f64 eps (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) 3/2) (pow.f64 (sin.f64 x) 3))
(fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 3/2 (cos.f64 x))) (pow.f64 (sin.f64 x) 3))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1/8 (pow.f64 (sin.f64 x) 3)) (*.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))) (+.f64 (*.f64 eps (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 1/2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))) (pow.f64 (sin.f64 x) 3)))
(fma.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (fma.f64 -1/4 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/8 (pow.f64 (sin.f64 x) 3) (*.f64 1/2 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (fma.f64 eps (*.f64 3/2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3)))
(fma.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/4)) (fma.f64 1/2 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 -1/8 (pow.f64 (sin.f64 x) 3)))) (fma.f64 eps (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) 3/2) (pow.f64 (sin.f64 x) 3)))
(fma.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/8 (pow.f64 (sin.f64 x) 3)) (*.f64 (sin.f64 x) (+.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))) (fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 3/2 (cos.f64 x))) (pow.f64 (sin.f64 x) 3)))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1/8 (pow.f64 (sin.f64 x) 3)) (*.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/24 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/8 (*.f64 (cos.f64 x) (sin.f64 x))))) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (*.f64 1/2 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 eps (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 1/2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))) (pow.f64 (sin.f64 x) 3))))
(fma.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (fma.f64 -1/4 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/8 (pow.f64 (sin.f64 x) 3) (*.f64 1/2 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) -1/6) (fma.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 -1/4 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))) (fma.f64 eps (*.f64 3/2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3))))
(fma.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/4)) (fma.f64 1/2 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 -1/8 (pow.f64 (sin.f64 x) 3)))) (fma.f64 (pow.f64 eps 3) (+.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/4)) (*.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -1/6))) (fma.f64 eps (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) 3/2) (pow.f64 (sin.f64 x) 3))))
(fma.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/8 (pow.f64 (sin.f64 x) 3)) (*.f64 (sin.f64 x) (+.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1/8) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) 1/2))) (*.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -3/16)) (fma.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 3/2 (cos.f64 x))) (pow.f64 (sin.f64 x) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) 3)
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)
(*.f64 1/8 (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) 1/8)
(+.f64 (*.f64 -1/64 (pow.f64 eps 5)) (*.f64 1/8 (pow.f64 eps 3)))
(fma.f64 -1/64 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) 1/8))
(fma.f64 (pow.f64 eps 3) 1/8 (*.f64 -1/64 (pow.f64 eps 5)))
(+.f64 (*.f64 13/15360 (pow.f64 eps 7)) (+.f64 (*.f64 -1/64 (pow.f64 eps 5)) (*.f64 1/8 (pow.f64 eps 3))))
(fma.f64 13/15360 (pow.f64 eps 7) (fma.f64 -1/64 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) 1/8)))
(fma.f64 13/15360 (pow.f64 eps 7) (fma.f64 (pow.f64 eps 3) 1/8 (*.f64 -1/64 (pow.f64 eps 5))))
(+.f64 (*.f64 -41/1548288 (pow.f64 eps 9)) (+.f64 (*.f64 13/15360 (pow.f64 eps 7)) (+.f64 (*.f64 -1/64 (pow.f64 eps 5)) (*.f64 1/8 (pow.f64 eps 3)))))
(fma.f64 -41/1548288 (pow.f64 eps 9) (fma.f64 13/15360 (pow.f64 eps 7) (fma.f64 -1/64 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) 1/8))))
(fma.f64 -41/1548288 (pow.f64 eps 9) (fma.f64 13/15360 (pow.f64 eps 7) (fma.f64 (pow.f64 eps 3) 1/8 (*.f64 -1/64 (pow.f64 eps 5)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 eps 1/2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 eps 1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3/2) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3/2) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 1/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 eps 1))) 2)
(-.f64 1/2 (/.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) 1) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 eps 1))) 2)
(-.f64 1/2 (/.f64 (cos.f64 eps) 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)) 1/3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 1))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)
(sin.f64 (*.f64 1/2 eps))
(*.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(sin.f64 (*.f64 1/2 eps))
(*.f64 1 (sin.f64 (*.f64 eps 1/2)))
(sin.f64 (*.f64 1/2 eps))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(sin.f64 (*.f64 1/2 eps))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/6)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/6)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1/2)
(sin.f64 (*.f64 1/2 eps))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(sin.f64 (*.f64 1/2 eps))
(fabs.f64 (sin.f64 (*.f64 eps 1/2)))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))
(sin.f64 (*.f64 1/2 eps))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(sin.f64 (*.f64 1/2 eps))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))) 1))
(sin.f64 (*.f64 1/2 eps))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sin.f64 (*.f64 eps 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 eps 1))) (/.f64 2 (sin.f64 (*.f64 1/2 eps))))
(/.f64 (sin.f64 (*.f64 1/2 eps)) (/.f64 2 (-.f64 1 (cos.f64 eps))))
(*.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 eps))) (-.f64 1 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(fabs.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(exp.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sin.f64 (*.f64 eps 1/2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 eps 1))) (/.f64 2 (sin.f64 (*.f64 1/2 eps))))
(/.f64 (sin.f64 (*.f64 1/2 eps)) (/.f64 2 (-.f64 1 (cos.f64 eps))))
(*.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 eps))) (-.f64 1 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(fabs.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(exp.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 eps 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 3)

eval468.0ms (2.8%)

Compiler

Compiled 32165 to 15944 computations (50.4% saved)

prune342.0ms (2.1%)

Pruning

79 alts after pruning (72 fresh and 7 done)

PrunedKeptTotal
New1216241240
Fresh254873
Picked101
Done279
Total1244791323
Error
0.02%
Counts
1323 → 79
Alt Table
Click to see full alt table
StatusErrorProgram
36.15%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
8.75%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
0.46%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)))
8.84%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
8.66%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
8.85%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
9.02%
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))))
59.41%
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
81.36%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 (-.f64 eps x) 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)
79.99%
(/.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 (fma.f64 0 (-.f64 eps x) x) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
59.49%
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
92.6%
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
51.51%
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
58.69%
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
35.97%
(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
76.19%
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 2) (cos.f64 x))
59.29%
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
36.18%
(-.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
35.97%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
8.76%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
82.21%
(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
57.73%
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
54.91%
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
36.19%
(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
85.9%
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
49.98%
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
8.71%
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
36.01%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
72.06%
(-.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1/2)) (cos.f64 x))
58.67%
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
71.69%
(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
79.02%
(-.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2))) (cos.f64 x))
58.72%
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
59.29%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
85.83%
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
58.62%
(-.f64 (cos.f64 eps) (cos.f64 x))
59.06%
(-.f64 (cos.f64 eps) 1)
84.11%
(-.f64 1 (cos.f64 x))
30.56%
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
8.66%
(+.f64 (fma.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
9.16%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
30.23%
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
9.94%
(+.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)))
29.46%
(+.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))))
8.83%
(+.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)))))
22.73%
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
96.45%
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
59.47%
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
56.04%
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/3) -2)
38.16%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 2) -2)
51.15%
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
24.64%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 3) -2)
72.57%
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (fabs.f64 (cos.f64 (+.f64 eps (*.f64 x 1))))) 2) -2)
85.29%
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 x)) 2) -2)
59.72%
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 eps (*.f64 x 1)))) 2) -2)
59.64%
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
60%
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
66.4%
(*.f64 (/.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 eps x) (+.f64 (+.f64 eps x) (*.f64 2 (+.f64 eps x)))) 1/4)) (sin.f64 (*.f64 (+.f64 (*.f64 2 (+.f64 eps x)) (-.f64 eps (+.f64 eps (+.f64 x x)))) 1/4)))) 2) -2)
76.01%
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) -2)
87.97%
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 (-.f64 eps x) x) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
56.44%
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
67.24%
(*.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 eps 0)) 2) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
84.25%
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
64.5%
(*.f64 (*.f64 (sin.f64 (/.f64 (sqrt.f64 (*.f64 eps eps)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
23.52%
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
56.21%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
54.89%
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
57.85%
(*.f64 (sin.f64 x) (neg.f64 eps))
73%
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (*.f64 (pow.f64 eps 3) 1/8))) -2)
78.2%
(*.f64 -1/2 (*.f64 eps eps))
84.34%
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
90.09%
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
58.78%
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
59.22%
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
59.13%
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
76.29%
(expm1.f64 (log.f64 (cos.f64 eps)))
58.77%
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
59.2%
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
83.43%
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
Compiler

Compiled 1299 to 938 computations (27.8% saved)

regimes217.0ms (1.3%)

Counts
143 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.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 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (*.f64 (sin.f64 (/.f64 (+.f64 x eps) 2)) -2))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) 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)
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 eps (*.f64 x 1)))) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 x)) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.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 -2 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 eps x) (+.f64 (+.f64 eps x) (*.f64 2 (+.f64 eps x)))) 1/4)) (sin.f64 (*.f64 (+.f64 (*.f64 2 (+.f64 eps x)) (-.f64 eps (+.f64 eps (+.f64 x x)))) 1/4)))) 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))
(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 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/3) -2)
(/.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 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1/2)) (cos.f64 x))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.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 (sin.f64 (/.f64 (sqrt.f64 (*.f64 eps eps)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 (-.f64 eps x) x) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (fabs.f64 (cos.f64 (+.f64 eps (*.f64 x 1))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 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 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (*.f64 (fma.f64 0 (-.f64 eps x) x) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 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 (cos.f64 (-.f64 (*.f64 (fma.f64 0 (-.f64 eps x) 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)
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 2) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.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))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (fabs.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) -2)
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (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) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) -2)
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (*.f64 (pow.f64 eps 3) 1/8))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 eps 0)) 2) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 3)) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 3) -2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 2) -2)
(*.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)))))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.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)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.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 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3))) -2)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.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))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
(-.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 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 3)) (*.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)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.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 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (log.f64 (exp.f64 (sin.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.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 (/.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 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.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)) (+.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)))))) (cos.f64 x))
Outputs
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)))
Calls

3 calls:

64.0ms
x
64.0ms
eps
40.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.46%1x
0.46%1eps
0.46%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 2321 to 964 computations (58.5% saved)

regimes348.0ms (2.1%)

Counts
114 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.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 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (*.f64 (sin.f64 (/.f64 (+.f64 x eps) 2)) -2))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) 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)
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 eps (*.f64 x 1)))) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 x)) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.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 -2 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 eps x) (+.f64 (+.f64 eps x) (*.f64 2 (+.f64 eps x)))) 1/4)) (sin.f64 (*.f64 (+.f64 (*.f64 2 (+.f64 eps x)) (-.f64 eps (+.f64 eps (+.f64 x x)))) 1/4)))) 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))
(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 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/3) -2)
(/.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 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1/2)) (cos.f64 x))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.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 (sin.f64 (/.f64 (sqrt.f64 (*.f64 eps eps)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 (-.f64 eps x) x) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (fabs.f64 (cos.f64 (+.f64 eps (*.f64 x 1))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 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 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (*.f64 (fma.f64 0 (-.f64 eps x) x) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 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 (cos.f64 (-.f64 (*.f64 (fma.f64 0 (-.f64 eps x) 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)
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 2) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.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))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (fabs.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) -2)
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (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) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) -2)
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (*.f64 (pow.f64 eps 3) 1/8))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 eps 0)) 2) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 3)) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 3) -2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 2) -2)
(*.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)))))))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.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)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.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 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) 3))) -2)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.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))
Outputs
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
Calls

3 calls:

141.0ms
eps
139.0ms
x
33.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.69%3x
0.74%3eps
8.66%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1627 to 772 computations (52.6% saved)

bsearch98.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
7.1026185573543945e-87
5.2097859241303145e-84
51.0ms
-2.7437038530552242e-61
-1.0581197308065348e-63
Results
53.0ms138×body1024valid
26.0ms44×body2048valid
8.0ms34×body512valid
6.0ms40×body256valid
Compiler

Compiled 558 to 426 computations (23.7% saved)

regimes296.0ms (1.8%)

Counts
99 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.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 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (*.f64 (sin.f64 (/.f64 (+.f64 x eps) 2)) -2))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) 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)
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 eps (*.f64 x 1)))) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 x)) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.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 -2 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 eps x) (+.f64 (+.f64 eps x) (*.f64 2 (+.f64 eps x)))) 1/4)) (sin.f64 (*.f64 (+.f64 (*.f64 2 (+.f64 eps x)) (-.f64 eps (+.f64 eps (+.f64 x x)))) 1/4)))) 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))
(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 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/3) -2)
(/.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 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1/2)) (cos.f64 x))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.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 (sin.f64 (/.f64 (sqrt.f64 (*.f64 eps eps)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 (-.f64 eps x) x) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (fabs.f64 (cos.f64 (+.f64 eps (*.f64 x 1))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 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 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (*.f64 (fma.f64 0 (-.f64 eps x) x) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 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 (cos.f64 (-.f64 (*.f64 (fma.f64 0 (-.f64 eps x) 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)
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 2) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.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))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (fabs.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) -2)
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (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) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) -2)
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (*.f64 (pow.f64 eps 3) 1/8))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 eps 0)) 2) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) 3)) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 3) -2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 2) -2)
(*.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 eps) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
Calls

3 calls:

118.0ms
x
116.0ms
eps
27.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
0.74%3x
0.79%3eps
8.71%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1397 to 707 computations (49.4% saved)

bsearch93.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
7.1026185573543945e-87
5.2097859241303145e-84
48.0ms
-2.7437038530552242e-61
-1.0581197308065348e-63
Results
49.0ms121×body1024valid
22.0ms39×body2048valid
9.0ms60×body256valid
9.0ms36×body512valid
Compiler

Compiled 558 to 426 computations (23.7% saved)

regimes125.0ms (0.8%)

Counts
87 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.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 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (*.f64 (sin.f64 (/.f64 (+.f64 x eps) 2)) -2))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) 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)
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 eps (*.f64 x 1)))) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 x)) 2) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 -1 x)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 x)) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))) (cos.f64 (+.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))) (*.f64 1/2 eps)))) -2) 2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(/.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 -2 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 eps x) (+.f64 (+.f64 eps x) (*.f64 2 (+.f64 eps x)))) 1/4)) (sin.f64 (*.f64 (+.f64 (*.f64 2 (+.f64 eps x)) (-.f64 eps (+.f64 eps (+.f64 x x)))) 1/4)))) 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))
(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 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6) 1/3) -2)
(/.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 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) 1/2)) (cos.f64 x))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.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 (sin.f64 (/.f64 (sqrt.f64 (*.f64 eps eps)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 0 (-.f64 eps x) x) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps)))))) (fabs.f64 (cos.f64 (+.f64 eps (*.f64 x 1))))) 2) -2)
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (+.f64 (*.f64 (fma.f64 2 x eps) -1/2) (*.f64 (-.f64 eps x) 1/2)) (*.f64 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 (cos.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (*.f64 (fma.f64 0 (-.f64 eps x) x) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (fma.f64 0 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 (cos.f64 (-.f64 (*.f64 (fma.f64 0 (-.f64 eps x) 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)
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 2) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.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))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) -1/4 (log.f64 2))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (fabs.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))) -2)
(+.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
Outputs
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
Calls

3 calls:

38.0ms
eps
36.0ms
x
24.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
23.52%1x
23.52%1eps
23.52%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1174 to 586 computations (50.1% saved)

regimes105.0ms (0.6%)

Counts
27 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.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 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (*.f64 (sin.f64 (/.f64 (+.f64 x eps) 2)) -2))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

48.0ms
x
35.0ms
eps
16.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
26.93%4x
22.64%3eps
24.41%2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 255 to 138 computations (45.9% saved)

bsearch68.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
1.8547660930862082e-10
0.08066156161477808
30.0ms
-61.76230383362546
-0.009275894920378303
Results
28.0ms75×body1024valid
21.0ms157×body256valid
9.0ms32×body512valid
5.0msbody2048valid
Compiler

Compiled 422 to 299 computations (29.1% saved)

regimes95.0ms (0.6%)

Counts
24 → 4
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.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 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 x)) -2)
Outputs
(*.f64 (neg.f64 eps) (sin.f64 x))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (neg.f64 eps) (sin.f64 x))
Calls

3 calls:

42.0ms
x
33.0ms
eps
15.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
27.04%4x
30.07%3eps
32.21%2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 212 to 115 computations (45.8% saved)

bsearch172.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
9.654930409851319e-35
6.219938290145291e-18
63.0ms
-6.420338889699969e-109
-2.385498243103396e-120
57.0ms
-180818.07667488145
-8.466383735482069e-10
Results
80.0ms204×body1024valid
41.0ms65×body2048valid
28.0ms109×body512valid
15.0ms102×body256valid
Compiler

Compiled 634 to 510 computations (19.6% saved)

regimes358.0ms (2.2%)

Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
Outputs
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (neg.f64 eps) (sin.f64 x))
Calls

3 calls:

175.0ms
x
117.0ms
eps
61.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
29.27%3x
30.07%3eps
32.21%2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 138 to 79 computations (42.8% saved)

bsearch114.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
70.0ms
9.654930409851319e-35
6.219938290145291e-18
44.0ms
-5.097598716571484e-59
-2.7437038530552242e-61
Results
69.0ms130×body1024valid
19.0ms34×body2048valid
15.0ms62×body512valid
6.0ms46×body256valid
Compiler

Compiled 337 to 282 computations (16.3% saved)

regimes134.0ms (0.8%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 (-.f64 0 (cos.f64 eps)) -2) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.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))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (neg.f64 eps) (sin.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

60.0ms
x
47.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
23.0ms
eps
Results
ErrorSegmentsBranch
37.04%3x
30.67%3eps
32.49%2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 122 to 65 computations (46.7% saved)

bsearch84.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
1.8547660930862082e-10
0.08066156161477808
38.0ms
-1.6084925662855072e-15
-4.832260468446436e-23
Results
33.0ms165×body256valid
26.0ms68×body1024valid
12.0ms45×body512valid
9.0ms10×body2048valid
Compiler

Compiled 302 to 226 computations (25.2% saved)

regimes33.0ms (0.2%)

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

2 calls:

16.0ms
x
15.0ms
eps
Results
ErrorSegmentsBranch
37.04%3x
31.39%3eps
Compiler

Compiled 68 to 45 computations (33.8% saved)

bsearch73.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
1.8547660930862082e-10
0.08066156161477808
39.0ms
-1.6084925662855072e-15
-4.832260468446436e-23
Results
28.0ms75×body1024valid
24.0ms167×body256valid
9.0ms13×body2048valid
8.0ms33×body512valid
Compiler

Compiled 284 to 226 computations (20.4% saved)

regimes45.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

39.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
59.06%1x
51.35%3eps
Compiler

Compiled 30 to 21 computations (30% saved)

bsearch86.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
53.0ms
1.2617214728270428e-13
1.4689414168443508e-13
32.0ms
-0.009275894920378303
-7.445211457783703e-6
Results
49.0msbody2048valid
17.0ms39×body1024valid
15.0ms105×body256valid
3.0ms11×body512valid
Compiler

Compiled 164 to 130 computations (20.7% saved)

regimes8.0ms (0%)

Accuracy

Total -5.9b remaining (-11.8%)

Threshold costs -5.9b (-11.8%)

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

2 calls:

3.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
78.2%1x
78.2%1eps
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify61.0ms (0.4%)

Algorithm
egg-herbie
Rules
48×*-commutative
34×+-commutative
18×sub-neg
16×neg-mul-1
16×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103741
1169741
2198741
3212741
4219741
5220741
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)))
(if (<=.f64 x -7815966023518843/57896044618658097711785492504343953926634992332820282019728792003956564819968) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (if (<=.f64 x 5686851884435831/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 x -7815966023518843/28948022309329048855892746252171976963317496166410141009864396001978282409984) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 546812681195753/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/144115188075855872) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 x -4796153459164483/36893488147419103232) (*.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 x -2003687083641995/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) (if (<=.f64 x 1973637728141443/680564733841876926926749214863536422912) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -2826955303645415/56539106072908298546665520023773392506479484700019806659891398441363832832) (*.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 x 110591769249305/42535295865117307932921825928971026432) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) (*.f64 (neg.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2028240960365167/1267650600228229401496703205376) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3984496719921263/295147905179352825856) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -2028240960365167/1267650600228229401496703205376) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6611313076017503/1180591620717411303424) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -3984496719921263/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1436010445571041/9903520314283042199192993792) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(*.f64 -1/2 (*.f64 eps eps))
Outputs
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)))
(if (<=.f64 x -7815966023518843/57896044618658097711785492504343953926634992332820282019728792003956564819968) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (if (<=.f64 x 5686851884435831/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(if (or (<=.f64 x -7815966023518843/57896044618658097711785492504343953926634992332820282019728792003956564819968) (not (<=.f64 x 5686851884435831/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912))) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2))
(if (<=.f64 x -7815966023518843/28948022309329048855892746252171976963317496166410141009864396001978282409984) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 546812681195753/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2) (-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 x -7815966023518843/28948022309329048855892746252171976963317496166410141009864396001978282409984) (not (<=.f64 x 546812681195753/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864))) (-.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2))
(*.f64 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/144115188075855872) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7493989779944505/576460752303423488) (not (<=.f64 eps 3458764513820541/144115188075855872))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 x) eps)))
(if (<=.f64 x -4796153459164483/36893488147419103232) (*.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 x -2003687083641995/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps))) (if (<=.f64 x 1973637728141443/680564733841876926926749214863536422912) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -4796153459164483/36893488147419103232) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 x -2003687083641995/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 (+.f64 -1 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (if (<=.f64 x 1973637728141443/680564733841876926926749214863536422912) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 (sin.f64 x) (neg.f64 eps)))))
(if (<=.f64 x -2826955303645415/56539106072908298546665520023773392506479484700019806659891398441363832832) (*.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 x 110591769249305/42535295865117307932921825928971026432) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) (*.f64 (neg.f64 eps) (sin.f64 x))))
(if (or (<=.f64 x -2826955303645415/56539106072908298546665520023773392506479484700019806659891398441363832832) (not (<=.f64 x 110591769249305/42535295865117307932921825928971026432))) (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(if (<=.f64 eps -2028240960365167/1267650600228229401496703205376) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3984496719921263/295147905179352825856) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -2028240960365167/1267650600228229401496703205376) (not (<=.f64 eps 3984496719921263/295147905179352825856))) (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -2028240960365167/1267650600228229401496703205376) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 6611313076017503/1180591620717411303424) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -2028240960365167/1267650600228229401496703205376) (not (<=.f64 eps 6611313076017503/1180591620717411303424))) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -3984496719921263/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1436010445571041/9903520314283042199192993792) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -3984496719921263/36893488147419103232) (not (<=.f64 eps 1436010445571041/9903520314283042199192993792))) (+.f64 -1 (cos.f64 eps)) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 (*.f64 eps eps) -1/2)
Compiler

Compiled 277 to 200 computations (27.8% saved)

soundness198.0ms (1.2%)

Algorithm
egg-herbie
Rules
1680×associate--r+
978×fma-def
942×+-commutative
864×associate-*r*
842×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053717649
1148816859
2781516859
054911377
1150910881
2706010863
Stop Event
node limit
node limit
Compiler

Compiled 410 to 147 computations (64.1% saved)

end159.0ms (1%)

Compiler

Compiled 257 to 146 computations (43.2% saved)

Profiling

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