2cos (problem 3.3.5)

Time bar (total: 17.2s)

analyze42.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%74.7%0%0%0%3
0%0%25.3%74.7%0%0%0%4
0%0%19%81%0%0%0%5
0%0%15.8%84.2%0%0%0%6
0%0%11.1%88.9%0%0%0%7
0%0%8.7%91.3%0%0%0%8
0%0%5.9%94.1%0%0%0%9
0%0%4.5%95.5%0%0%0%10
0%0%3.1%96.9%0%0%0%11
0%0%2.7%97.3%0%0%0%12
Compiler

Compiled 28 to 18 computations (35.7% saved)

sample10.1s (58.8%)

Results
0.0ms1024valid
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0.0ms256precondition
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0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
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1.0ms2048valid
0.0ms256precondition
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1.0ms2048valid
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0.0ms512valid
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58.0ms1024valid
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1.0ms2048valid
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0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms512valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms2048valid
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms2048valid
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
1.0ms2048valid
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms512valid
1.0ms2048valid
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms512valid
0.0ms256precondition
0.0ms256precondition
0.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms256precondition
0.0ms512valid
0.0ms256valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms512valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256valid
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms512valid
0.0ms256precondition
1.0ms2048valid
1.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256valid
0.0ms512valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms512valid
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms512valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms1024valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
1.0ms2048valid
0.0ms256precondition
0.0ms256valid
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
0.0ms256precondition
1.0ms2048valid
1.0ms2048valid
0.0ms256precondition
1.0ms2048valid
0.0ms256precondition
Bogosity

preprocess410.0ms (2.4%)

Algorithm
egg-herbie
Rules
316×fma-neg
182×fma-define
108×sub-neg
82×associate--r+
72×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-0-(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
20-0-(cos.f64 (+.f64 x eps))
00-0-x
00-0-(+.f64 x eps)
00-0-(cos.f64 x)
00-0-eps
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027234
149218
296210
3184210
4349210
5486210
6636210
7761210
8795210
9821210
10827210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 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 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x)))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 x)))
(neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize136.0ms (0.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(cos.f64 (+.f64 x eps))
52.7%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0ms
eps
@inf
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0ms
x
@0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0ms
eps
@0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0ms
x
@-inf
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite239.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
974×log1p-expm1-u
974×expm1-log1p-u
908×fma-define
802×log-prod
470×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116147
2245847
Stop Event
node limit
Counts
2 → 163
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
Outputs
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 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)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.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 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(/.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 (+.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 (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))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(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)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(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)))))
(log.f64 (*.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (cos.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (cos.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (cos.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (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))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (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 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 1 (-.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)))
(fma.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (neg.f64 (cos.f64 x)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.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))) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (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 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (cos.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.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)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.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)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (cos.f64 x)) (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 (*.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 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 0 (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (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 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.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 (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)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(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))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (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) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(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 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (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))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (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 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.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))) (neg.f64 (*.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 (neg.f64 (sin.f64 x)) (sin.f64 eps)))

simplify125.0ms (0.7%)

Algorithm
egg-herbie
Rules
900×fma-neg
744×unswap-sqr
720×associate-+l+
576×associate-+r+
550×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03899790
19129233
226988696
Stop Event
node limit
Counts
211 → 257
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 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) 1)
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(fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.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)))
(fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (cos.f64 x)) (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 (*.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 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 0 (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (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 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.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 (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)))) (cos.f64 (-.f64 x eps)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(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))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(fma.f64 (cos.f64 (+.f64 x eps)) 1 (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) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(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 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (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))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (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 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.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))) (neg.f64 (*.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 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (neg.f64 (sin.f64 eps)) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1))
(+.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x (neg.f64 (sin.f64 eps)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))) 1))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (*.f64 (pow.f64 x 2) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))) -1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 2) (fma.f64 (cos.f64 eps) -1/2 1/2) -1)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(-.f64 (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(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 (*.f64 x (sin.f64 eps))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (*.f64 x (neg.f64 (sin.f64 eps)))))
(-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/2) 1) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 eps))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))))
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(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (*.f64 0 (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))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (*.f64 0 (sin.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.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)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.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))))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (*.f64 0 (sin.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.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)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.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)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))

eval58.0ms (0.3%)

Compiler

Compiled 4821 to 1551 computations (67.8% saved)

prune53.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2507257
Fresh000
Picked011
Done000
Total2508258
Accuracy
99.9%
Counts
258 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
52.7%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
99.3%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
51.5%
(-.f64 (cos.f64 eps) 1)
82.0%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
99.7%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
78.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
Compiler

Compiled 205 to 146 computations (28.8% saved)

localize1.5s (8.6%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))
100.0%
(*.f64 eps (sin.f64 x))
100.0%
(*.f64 -1/2 (pow.f64 eps 2))
99.8%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
99.8%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
62.3%
(+.f64 x (-.f64 eps x))
100.0%
(*.f64 (sin.f64 x) (neg.f64 eps))
52.9%
(-.f64 (cos.f64 eps) 1)
99.9%
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
99.8%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
Compiler

Compiled 194 to 102 computations (47.4% saved)

series134.0ms (0.8%)

Counts
11 → 200
Calls

60 calls:

TimeVariablePointExpression
44.0ms
eps
@0
(*.f64 -1/2 (pow.f64 eps 2))
42.0ms
x
@inf
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
3.0ms
eps
@inf
(*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))
2.0ms
eps
@0
(-.f64 (cos.f64 eps) 1)
2.0ms
eps
@0
(*.f64 (sin.f64 x) (neg.f64 eps))

rewrite110.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
586×associate-*r*
294×log1p-expm1-u
294×expm1-log1p-u
288×add-exp-log
288×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042342
1700306
Stop Event
node limit
Counts
11 → 241
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 x (-.f64 eps x))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 eps (sin.f64 x))
(*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.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 (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 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(-.f64 eps 0)
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 eps 0))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x eps) x)) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 (-.f64 x eps) x)))
(*.f64 1 (-.f64 eps 0))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 2) (cbrt.f64 (-.f64 eps 0)))
(*.f64 (sqrt.f64 (-.f64 eps 0)) (sqrt.f64 (-.f64 eps 0)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (+.f64 (-.f64 x eps) x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x eps) x) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (+.f64 (-.f64 x eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (/.f64 0 0))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (+.f64 (-.f64 x eps) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (pow.f64 x 2) (*.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2)) (-.f64 eps (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x 2)) (+.f64 (+.f64 x eps) x))
(pow.f64 (-.f64 eps 0) 1)
(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
(exp.f64 (log.f64 (-.f64 eps 0)))
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
(fma.f64 1 x (-.f64 eps x))
(fma.f64 1 (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))) 1)
(pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 eps 0))))))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 eps 0)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
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(exp.f64 (log.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1))
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(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
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(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
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(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 4) 1/4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 1))

simplify123.0ms (0.7%)

Algorithm
egg-herbie
Rules
204×*-commutative
198×+-commutative
160×sqr-pow
110×fma-define
68×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063217954
1178917954
Stop Event
unsound
Counts
441 → 336
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (cos.f64 (*.f64 1/2 eps)))) (*.f64 x (cos.f64 (*.f64 1/2 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 (+.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 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x)))))
(+.f64 (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 1/2 (*.f64 eps (cos.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))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 1/5040 (*.f64 eps (pow.f64 x 7))) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 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
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x)))))
(+.f64 (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 1/2 (*.f64 eps (cos.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))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (cos.f64 (*.f64 1/2 eps)))) (*.f64 x (cos.f64 (*.f64 1/2 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 (+.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))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
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(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (fma.f64 eps (sin.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (neg.f64 (*.f64 (*.f64 eps (sin.f64 x)) 1))) (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 (*.f64 eps (sin.f64 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1) (*.f64 (*.f64 eps (sin.f64 x)) 1))
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 1) (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) 1))
(*.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (sqrt.f64 (*.f64 eps (sin.f64 x)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (sqrt.f64 (*.f64 eps (sin.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 4) 1/4)) (-.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2)) (neg.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) (pow.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (-.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))) (*.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))) (-.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 1))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(fma.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 eps (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 4) 1/4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 1))
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
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eps
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(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(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 (*.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 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(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 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 eps 1/2))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))
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(+.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 x 2)) (fma.f64 -1/6 (*.f64 (cos.f64 (*.f64 eps 1/2)) (pow.f64 x 3)) (*.f64 x (cos.f64 (*.f64 eps 1/2))))))
(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 (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)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 eps x) (fma.f64 -1/2 (pow.f64 eps 2) (*.f64 (*.f64 1/4 (pow.f64 eps 2)) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
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(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(*.f64 eps x)
(+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps x))
(fma.f64 -1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))
(+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 eps x)))
(fma.f64 -1/6 (*.f64 eps (pow.f64 x 3)) (fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (*.f64 eps x)))
(+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))) (+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (*.f64 eps x))))
(fma.f64 -1/6 (*.f64 eps (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 eps (pow.f64 x 7)) (fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (*.f64 eps x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -1/2 (pow.f64 eps 2) (*.f64 (*.f64 1/4 (pow.f64 eps 2)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (pow.f64 eps 2) (fma.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) (*.f64 (*.f64 1/4 (pow.f64 eps 2)) (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 1/1440 (*.f64 (pow.f64 eps 2) (pow.f64 x 6))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/2 (pow.f64 eps 2) (fma.f64 -1/48 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) (fma.f64 1/1440 (*.f64 (pow.f64 eps 2) (pow.f64 x 6)) (*.f64 (*.f64 1/4 (pow.f64 eps 2)) (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))) 1)
(expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3) 1/3)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
(pow.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2))
(sqrt.f64 (pow.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
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eps
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eps
(*.f64 (sqrt.f64 (-.f64 eps 0)) (sqrt.f64 (-.f64 eps 0)))
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(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (pow.f64 x 2)) (+.f64 x (+.f64 eps x)))
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(pow.f64 (cbrt.f64 (-.f64 eps 0)) 3)
eps
(pow.f64 (pow.f64 (-.f64 eps 0) 3) 1/3)
eps
(pow.f64 (sqrt.f64 (-.f64 eps 0)) 2)
eps
(sqrt.f64 (pow.f64 (-.f64 eps 0) 2))
(sqrt.f64 (pow.f64 eps 2))
(log.f64 (exp.f64 (-.f64 eps 0)))
eps
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps 0))))
eps
(cbrt.f64 (pow.f64 (-.f64 eps 0) 3))
eps
(expm1.f64 (log1p.f64 (-.f64 eps 0)))
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 (-.f64 eps 0)))
eps
(exp.f64 (log.f64 (-.f64 eps 0)))
eps
(exp.f64 (*.f64 (log.f64 (-.f64 eps 0)) 1))
eps
(fma.f64 1 x (-.f64 eps x))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2)) (neg.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) 2)) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) (pow.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (-.f64 (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))) (*.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) 3) (pow.f64 (*.f64 2 (*.f64 eps (sin.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 2 (*.f64 eps (sin.f64 x))) (-.f64 (*.f64 2 (*.f64 eps (sin.f64 x))) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))) (-.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) 2) (*.f64 (*.f64 2 (*.f64 eps (sin.f64 x))) (*.f64 2 (*.f64 eps (sin.f64 x))))) (-.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) (*.f64 2 (*.f64 eps (sin.f64 x)))))
(pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 1)
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 3)
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3) 1/3)
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2)
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) 3))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 1))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 1 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (fma.f64 eps (sin.f64 x) (*.f64 2 (*.f64 eps (sin.f64 x)))))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (fma.f64 eps (sin.f64 x) (*.f64 2 (*.f64 eps (sin.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)) (fma.f64 eps (sin.f64 x) (*.f64 2 (*.f64 eps (sin.f64 x)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) (*.f64 eps (sin.f64 x)))
(+.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) 2) (*.f64 eps (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) -1/2) (pow.f64 eps 2) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 eps 2))) 3)
(*.f64 -1/2 (pow.f64 eps 2))
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3) 1/3)
(*.f64 -1/2 (pow.f64 eps 2))
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) -1/2))
(*.f64 -1/2 (log.f64 (exp.f64 (pow.f64 eps 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2)))))
(*.f64 -1/2 (pow.f64 eps 2))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 eps 2)) 3))
(*.f64 -1/2 (pow.f64 eps 2))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 -1/2 (pow.f64 eps 2))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 -1/2 (pow.f64 eps 2))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (pow.f64 eps 2))) 1))
(*.f64 -1/2 (pow.f64 eps 2))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(+.f64 (*.f64 eps (sin.f64 x)) -1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(*.f64 eps (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(*.f64 eps (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(*.f64 eps (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (sin.f64 x)) -1)
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(*.f64 eps (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) 1))
(*.f64 eps (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) 1)
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 1)
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 3)
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3) 1/3)
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) eps) 2)
(pow.f64 (*.f64 eps (sqrt.f64 (*.f64 -1/2 (cos.f64 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 4) 1/4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (*.f64 -1/2 (pow.f64 eps 2)) (log.f64 (exp.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) 3))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))

eval113.0ms (0.7%)

Compiler

Compiled 7021 to 4207 computations (40.1% saved)

prune146.0ms (0.8%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New32511336
Fresh022
Picked235
Done011
Total32717344
Accuracy
99.9%
Counts
344 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
74.7%
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
98.8%
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
52.7%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
99.3%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
51.5%
(-.f64 (cos.f64 eps) 1)
77.5%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
97.4%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
98.7%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 3) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
27.0%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (pow.f64 x 2) (*.f64 (-.f64 eps x) x)))) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
53.4%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (log.f64 (exp.f64 (-.f64 eps 0))) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
99.7%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
48.2%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)))
78.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
50.7%
(*.f64 eps x)
77.4%
(*.f64 -1 (*.f64 eps x))
Compiler

Compiled 499 to 373 computations (25.3% saved)

localize1.3s (7.5%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.9%
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
99.9%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
99.8%
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
76.7%
(sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
100.0%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
100.0%
(*.f64 (cos.f64 x) (cos.f64 eps))
75.8%
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
100.0%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
100.0%
(*.f64 eps (pow.f64 x 3))
99.9%
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
99.9%
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
99.9%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
Compiler

Compiled 233 to 128 computations (45.1% saved)

series159.0ms (0.9%)

Counts
10 → 175
Calls

60 calls:

TimeVariablePointExpression
97.0ms
eps
@0
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
8.0ms
eps
@0
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
4.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
2.0ms
x
@inf
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

rewrite189.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
614×associate-*r*
290×log1p-expm1-u
290×expm1-log1p-u
282×add-cube-cbrt
280×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044396
1725330
Stop Event
node limit
Counts
10 → 292
Calls
Call 1
Inputs
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
(*.f64 1/6 (*.f64 eps (pow.f64 x 3)))
(*.f64 eps (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))) 1)
(pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 1)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 1/6 eps)) x) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 1/6 eps)) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 eps (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 eps (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 eps)) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 x 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x 3))) 1))
(-.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))) (/.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(*.f64 1 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))
(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))) (sqrt.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))))
(*.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36)) (/.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)))) (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))) (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 3)) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36)) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36))) (neg.f64 (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36) (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36) (pow.f64 (*.f64 eps x) 2)) (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)))
(pow.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))) 1))
(fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps x))
(fma.f64 (*.f64 eps (pow.f64 x 3)) 1/6 (*.f64 eps x))
(fma.f64 -1 (*.f64 eps x) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 (*.f64 eps x) -1 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 1 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 eps x))
(fma.f64 1 (*.f64 eps x) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 1/6 eps)) x) 2) (*.f64 (cbrt.f64 (*.f64 1/6 eps)) x) (*.f64 eps x))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 1/6 eps)) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 (*.f64 1/6 eps)) (pow.f64 x 3/2)) (*.f64 eps x))
(fma.f64 (neg.f64 eps) x (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 (*.f64 1/6 eps) (pow.f64 x 3) (*.f64 eps 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 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(+.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 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 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)))
(+.f64 (fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (*.f64 (cos.f64 x) 1))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (*.f64 (cos.f64 x) 1)))
(+.f64 (fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cos.f64 x) 1))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (*.f64 (cos.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cos.f64 x) 1))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (*.f64 (cos.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(+.f64 (*.f64 (cos.f64 (+.f64 x eps)) 1) (*.f64 (neg.f64 (cos.f64 x)) 1))
(*.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 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 x) (cos.f64 (+.f64 x eps)))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.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 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/4) (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/4))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (pow.f64 -2 1/2) (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1/2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 1 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2) (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) -2)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/4)) (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/4))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) 1) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 1) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)) (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) 2)) (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1) (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))

simplify301.0ms (1.7%)

Algorithm
egg-herbie
Rules
1746×fma-neg
1270×fma-define
822×log-prod
692×*-commutative
464×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086325585
1230924256
2671724248
Stop Event
node limit
Counts
467 → 531
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x)))))
(+.f64 (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 1/2 (*.f64 eps (cos.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))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (cos.f64 (*.f64 1/2 eps)))) (*.f64 x (cos.f64 (*.f64 1/2 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 (+.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))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 -1 (*.f64 eps (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 eps (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 eps (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
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(fabs.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 1 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2) (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) -2)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/4)) (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1/4))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) 1) (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 1) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)) (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 eps 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) 2)) (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1) (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
Outputs
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 eps))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 eps (sin.f64 x))))
(fma.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) (fma.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4))) (*.f64 (sin.f64 x) (neg.f64 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(*.f64 -2 (+.f64 (*.f64 x (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (fma.f64 x (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(fma.f64 -2 (*.f64 x (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (pow.f64 x 2))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2))))))
(+.f64 (*.f64 -2 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(fma.f64 -2 (*.f64 x (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (fma.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (fma.f64 1/3 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2)))))) (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (*.f64 1/3 (pow.f64 x 3))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (pow.f64 (sqrt.f64 -2) 2)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (pow.f64 (sqrt.f64 -2) 2)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 -2) 2)))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
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(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 -2) 2)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (pow.f64 (sqrt.f64 -2) 2)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))
(pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(pow.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(fabs.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(pow.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(fabs.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (log.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (log.f64 (exp.f64 -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
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(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
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(expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
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(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
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(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 1 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
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(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(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 (*.f64 1/2 (fma.f64 x 2 eps)))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
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(pow.f64 (*.f64 (sqrt.f64 (*.f64 1/6 eps)) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 eps 1/6)) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 2)) 1/36))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))))
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))) (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(fabs.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (log.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (log.f64 (exp.f64 -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 3)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(expm1.f64 (log1p.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(exp.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))

eval235.0ms (1.4%)

Compiler

Compiled 14024 to 8234 computations (41.3% saved)

prune223.0ms (1.3%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New5968604
Fresh538
Picked325
Done044
Total60417621
Accuracy
100.0%
Counts
621 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
97.6%
(fma.f64 x (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
74.7%
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))) 2)
98.8%
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
79.2%
(-.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
99.3%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
51.5%
(-.f64 (cos.f64 eps) 1)
97.4%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
98.9%
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
98.7%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 3) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
48.2%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
99.7%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
78.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
77.5%
(*.f64 (neg.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
77.4%
(*.f64 (neg.f64 eps) x)
50.7%
(*.f64 eps x)
Compiler

Compiled 441 to 347 computations (21.3% saved)

localize519.0ms (3%)

Compiler

Compiled 297 to 217 computations (26.9% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune20.0ms (0.1%)

Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New000
Fresh066
Picked055
Done066
Total01717
Accuracy
100.0%
Counts
17 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
97.6%
(fma.f64 x (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
74.7%
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))))) 2)
98.8%
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
79.2%
(-.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
99.3%
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
51.5%
(-.f64 (cos.f64 eps) 1)
97.4%
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
98.9%
(*.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
98.7%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 eps 0)) 3) 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
48.2%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
99.7%
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
78.5%
(*.f64 (sin.f64 x) (neg.f64 eps))
77.5%
(*.f64 (neg.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
77.4%
(*.f64 (neg.f64 eps) x)
50.7%
(*.f64 eps x)
Compiler

Compiled 642 to 455 computations (29.1% saved)

regimes35.0ms (0.2%)

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

3 calls:

13.0ms
eps
12.0ms
x
9.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 -1 (*.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (neg.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
Calls

3 calls:

14.0ms
x
5.0ms
eps
2.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
97.4%1x
97.4%1eps
97.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
78.5%1eps
78.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 eps x)
(*.f64 (neg.f64 eps) x)
(*.f64 -1 (*.f64 eps x))
(-.f64 (cos.f64 eps) 1)
Outputs
(*.f64 (neg.f64 eps) x)
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
77.4%1eps
77.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 eps x)
Outputs
(*.f64 eps x)
Calls

2 calls:

3.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
50.7%1eps
50.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
28×*-commutative
14×+-commutative
10×sub-neg
10×neg-sub0
neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030146
147142
260142
369142
475142
577142
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (neg.f64 eps) x)
(*.f64 eps x)
Outputs
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (neg.f64 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (neg.f64 eps) x)
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 eps x)
Compiler

Compiled 46 to 33 computations (28.3% saved)

soundness825.0ms (4.8%)

Rules
1746×fma-neg
1270×fma-define
974×log1p-expm1-u
974×expm1-log1p-u
908×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116147
2245847
03899790
19129233
226988696
063217954
1178917954
086325585
1230924256
2671724248
03899790
19129233
226988696
Stop Event
node limit
node limit
unsound
node limit
node limit
Compiler

Compiled 314 to 172 computations (45.2% saved)

end0.0ms (0%)

preprocess57.0ms (0.3%)

Compiler

Compiled 124 to 84 computations (32.3% saved)

Profiling

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