2sin (example 3.3)

Time bar (total: 16.8s)

analyze63.0ms (0.4%)

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)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
Operation ival-<=, time spent: 19.0ms, 42.0% of total-time
Operation ival-sin, time spent: 10.0ms, 22.0% of total-time
Operation ival-add, time spent: 4.0ms, 9.0% of total-time
Operation ival-<, time spent: 3.0ms, 7.0% of total-time
Operation ival-mult, time spent: 3.0ms, 7.0% of total-time
Operation ival-sub, time spent: 2.0ms, 4.0% of total-time
Operation ival-and, time spent: 2.0ms, 4.0% of total-time
Operation ival-fabs, time spent: 1.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

sample6.8s (40.5%)

Results
4.5s26254×256precondition
1.6s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
Operation ival-sin, time spent: 885.0ms, 25.0% of total-time
Operation ival-<=, time spent: 677.0ms, 19.0% of total-time
Operation ival-mult, time spent: 594.0ms, 17.0% of total-time
Operation ival-<, time spent: 375.0ms, 11.0% of total-time
Operation ival-sub, time spent: 307.0ms, 9.0% of total-time
Operation ival-add, time spent: 284.0ms, 8.0% of total-time
Operation ival-fabs, time spent: 215.0ms, 6.0% of total-time
Operation ival-and, time spent: 141.0ms, 4.0% of total-time
Operation const, time spent: 75.0ms, 2.0% of total-time
Bogosity

preprocess158.0ms (0.9%)

Algorithm
egg-herbie
Rules
394×fma-def
98×sub-neg
78×cancel-sign-sub-inv
68×associate--r+
50×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2171(1.698685545280644e-112 2.4220690559518803e-116)0-(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
30-1(22.061265566120376 1.319913872174294e-6)(sin.f64 (+.f64 x eps))
00-0-x
00-0-(sin.f64 x)
00-0-(+.f64 x eps)
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027226
149210
2101210
3201210
4378210
5481210
6641210
7725210
8767210
9773210
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-sin, time spent: 10.0ms, 52.0% of total-time
Operation ival-add, time spent: 6.0ms, 31.0% of total-time
Operation ival-sub, time spent: 3.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize76.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.8%
(sin.f64 (+.f64 x eps))
63.5%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-sin, time spent: 5.0ms, 52.0% of total-time
Operation ival-add, time spent: 3.0ms, 31.0% of total-time
Operation ival-sub, time spent: 1.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite238.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1024×fma-def
978×log1p-expm1-u
978×expm1-log1p-u
802×log-prod
334×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2245447
Stop Event
node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x 2) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps 2) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))

simplify126.0ms (0.7%)

Algorithm
egg-herbie
Rules
806×fma-neg
762×unswap-sqr
656×associate-+l+
640×distribute-lft-in
598×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03748764
18728390
226937952
Stop Event
node limit
Counts
199 → 229
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 x (-.f64 (cos.f64 eps) 1)) (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps)))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (cos.f64 eps))))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (cos.f64 eps))) (*.f64 x (cos.f64 eps)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
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(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 eps)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 x (-.f64 (cos.f64 eps) 1)) (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps)))))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 (cos.f64 eps) -1/6))))))
(+.f64 (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (*.f64 x (+.f64 (cos.f64 eps) -1))) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 eps)))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 eps (cos.f64 x)))))
(+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)))
(+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) (*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (cos.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 x (cos.f64 eps))))
(+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 eps)))
(+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (cos.f64 eps))) (*.f64 x (cos.f64 eps)))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 x (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (sin.f64 x)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) 1) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) 1) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))

eval91.0ms (0.5%)

Compiler

Compiled 4192 to 1391 computations (66.8% saved)

prune43.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2209229
Fresh000
Picked011
Done000
Total22010230
Accuracy
100.0%
Counts
230 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
99.3%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
63.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.5%
(+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)))
98.8%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
96.6%
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
63.3%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
99.8%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
97.9%
(*.f64 eps (cos.f64 x))
95.8%
(sin.f64 eps)
Compiler

Compiled 301 to 220 computations (26.9% saved)

localize2.2s (13.3%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
100.0%
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
99.9%
(*.f64 (sin.f64 x) (pow.f64 eps 2))
99.8%
(*.f64 -1/6 (pow.f64 eps 3))
100.0%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
99.9%
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
54.7%
(-.f64 1 (cos.f64 eps))
99.9%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
99.9%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
63.3%
(+.f64 x (-.f64 eps x))
99.9%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
99.9%
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
Compiler

Compiled 242 to 125 computations (48.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
Operation ival-sin, time spent: 754.0ms, 46.0% of total-time
Operation ival-cos, time spent: 379.0ms, 23.0% of total-time
Operation ival-mult, time spent: 247.0ms, 15.0% of total-time
Operation ival-pow, time spent: 110.0ms, 7.0% of total-time
Operation ival-fma, time spent: 47.0ms, 3.0% of total-time
Operation ival-add, time spent: 46.0ms, 3.0% of total-time
Operation ival-sub, time spent: 34.0ms, 2.0% of total-time
Operation const, time spent: 21.0ms, 1.0% of total-time

series67.0ms (0.4%)

Counts
13 → 228
Calls

72 calls:

TimeVariablePointExpression
31.0ms
eps
@-inf
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
5.0ms
eps
@0
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
3.0ms
x
@0
(*.f64 (sin.f64 x) (pow.f64 eps 2))
1.0ms
x
@inf
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
1.0ms
eps
@inf
(+.f64 x (-.f64 eps x))

rewrite141.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
340×log1p-expm1-u
340×expm1-log1p-u
338×add-cube-cbrt
332×add-exp-log
331×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046444
1783436
Stop Event
node limit
Counts
13 → 259
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 x (-.f64 eps x))
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
(-.f64 1 (cos.f64 eps))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(*.f64 -1/6 (pow.f64 eps 3))
(*.f64 (sin.f64 x) (pow.f64 eps 2))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))) 1)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 1/2 eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 1/2 eps))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 1/2 eps))))))
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (-.f64 eps x))) (/.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 x (-.f64 eps x))))
(*.f64 1 (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 2) (cbrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) (sqrt.f64 (+.f64 x (-.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2)) (-.f64 x (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x (-.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))) (neg.f64 (-.f64 x (-.f64 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))))
(pow.f64 (+.f64 x (-.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 eps x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 eps x))))
(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 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))) (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (fma.f64 1/2 (+.f64 x (-.f64 eps x)) (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))) (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (fma.f64 1/2 (+.f64 x (-.f64 eps x)) (*.f64 1/2 (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))) (fma.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 eps 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 eps (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) -1/216) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 eps 3)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 eps 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 eps 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 6)))
(cbrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) (pow.f64 (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x))))))
(pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))) 1)
(*.f64 1 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) 3) (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3)) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2) (*.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))
(pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))

simplify318.0ms (1.9%)

Algorithm
egg-herbie
Rules
1290×fma-def
1090×fma-neg
848×log-prod
568×*-commutative
516×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081422744
1224821416
2693921412
Stop Event
node limit
Counts
487 → 483
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps)))))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps)))))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
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(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
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(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
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(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
Outputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (neg.f64 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (neg.f64 x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (neg.f64 x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps)))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/6 (pow.f64 x 3)))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (*.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/8 (pow.f64 eps 2)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (fma.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (fma.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 (sin.f64 x) (*.f64 1/48 (pow.f64 eps 3)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x -2)))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (+.f64 2 (neg.f64 (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))))
(fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))))
(+.f64 (fma.f64 -2 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (+.f64 2 (neg.f64 (pow.f64 x 2))))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12)) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 (cos.f64 x) -1/12) (*.f64 2 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 2 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12)) (*.f64 eps (cos.f64 x)))))
(+.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 (cos.f64 x) -1/12) (*.f64 2 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (*.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/8 (pow.f64 eps 2)))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (fma.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (fma.f64 -1/8 (*.f64 (cos.f64 x) (pow.f64 eps 2)) (*.f64 (sin.f64 x) (*.f64 1/48 (pow.f64 eps 3)))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (neg.f64 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (neg.f64 x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (neg.f64 x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps)))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/6 (pow.f64 x 3)))))
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(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
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(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
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(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
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(sin.f64 eps)
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(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
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(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
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(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
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(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
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(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
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(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3) 1/3)
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 2)
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 2))
(fabs.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))) 3))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))) 1))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))

eval230.0ms (1.4%)

Compiler

Compiled 12028 to 7118 computations (40.8% saved)

prune87.0ms (0.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New4776483
Fresh134
Picked325
Done011
Total48112493
Accuracy
100.0%
Counts
493 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.5%
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3) (*.f64 -1/8 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 3))) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2) (*.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))
99.4%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (sin.f64 x)))
99.3%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
100.0%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))))))
63.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
98.8%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
96.6%
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
98.7%
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
97.9%
(*.f64 eps (cos.f64 x))
95.8%
(sin.f64 eps)
89.7%
(exp.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))))
Compiler

Compiled 422 to 310 computations (26.5% saved)

localize2.0s (11.9%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
99.9%
(*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x))
91.2%
(exp.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))))
55.5%
(-.f64 1 (cos.f64 eps))
99.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1)))
99.9%
(*.f64 x (-.f64 (cos.f64 eps) 1))
99.8%
(*.f64 (pow.f64 x 2) (sin.f64 eps))
55.5%
(-.f64 (cos.f64 eps) 1)
100.0%
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
100.0%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
100.0%
(*.f64 eps (cos.f64 x))
99.9%
(*.f64 (pow.f64 eps 2) (sin.f64 x))
100.0%
(*.f64 eps (cos.f64 x))
100.0%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))))))
100.0%
(*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))
100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
99.9%
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))))
Compiler

Compiled 268 to 124 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
Operation ival-tan, time spent: 798.0ms, 46.0% of total-time
Operation ival-div, time spent: 190.0ms, 11.0% of total-time
Operation ival-mult, time spent: 183.0ms, 11.0% of total-time
Operation ival-sin, time spent: 141.0ms, 8.0% of total-time
Operation ival-cos, time spent: 110.0ms, 6.0% of total-time
Operation ival-log, time spent: 78.0ms, 5.0% of total-time
Operation ival-sub, time spent: 74.0ms, 4.0% of total-time
Operation ival-pow, time spent: 69.0ms, 4.0% of total-time
Operation ival-exp, time spent: 33.0ms, 2.0% of total-time
Operation const, time spent: 19.0ms, 1.0% of total-time
Operation ival-add, time spent: 15.0ms, 1.0% of total-time
Operation ival-neg, time spent: 10.0ms, 1.0% of total-time

series40.0ms (0.2%)

Counts
14 → 150
Calls

78 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(*.f64 x (-.f64 (cos.f64 eps) 1))
5.0ms
eps
@inf
(exp.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))))
3.0ms
x
@0
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
1.0ms
x
@inf
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))))
1.0ms
x
@0
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))))

rewrite152.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
330×log1p-expm1-u
330×expm1-log1p-u
323×add-cube-cbrt
321×add-exp-log
320×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040485
1715473
Stop Event
node limit
Counts
14 → 330
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))))
(*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))))))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
(*.f64 (pow.f64 x 2) (sin.f64 eps))
(*.f64 x (-.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(exp.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))) 1)
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) 2)
(neg.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))))
(-.f64 0 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) 1)
(/.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (/.f64 -1 (sin.f64 eps)) (cos.f64 (*.f64 eps 1/2))))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2))) -1)
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))) (*.f64 -1 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (*.f64 eps 1/2))) (*.f64 1 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 eps)) (*.f64 (cos.f64 (*.f64 eps 1/2)) -1))
(/.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) 1) (*.f64 (cos.f64 (*.f64 eps 1/2)) (/.f64 -1 (sin.f64 eps))))
(/.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (*.f64 eps 1/2)) 1))
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))) 1)
(/.f64 (-.f64 0 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) 2) (*.f64 0 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))))
(pow.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 2)
(neg.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) -1) 3) (pow.f64 (tan.f64 (*.f64 eps 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 (sin.f64 eps) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) (fma.f64 (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) (fma.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2))))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 1))) (fma.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 1 (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 eps) -1) (tan.f64 (*.f64 eps 1/2)))) 1)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1)
(pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))

simplify234.0ms (1.4%)

Algorithm
egg-herbie
Rules
1440×fma-def
472×sqr-pow
470×associate-+r+
404×associate-+l+
404×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093629750
1258427489
Stop Event
node limit
Counts
480 → 588
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 5) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 x 7) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 5) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x)))) (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 -1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 -1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x)))) (*.f64 (pow.f64 eps 8) (+.f64 (*.f64 -1/1440 (sin.f64 x)) (+.f64 (*.f64 -1/10080 (sin.f64 x)) (+.f64 (*.f64 1/2880 (sin.f64 x)) (*.f64 17/40320 (sin.f64 x)))))))))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 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 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 -1 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (*.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(*.f64 eps (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.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 eps (pow.f64 x 2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 2))) (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (pow.f64 x 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 2))) (*.f64 eps (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/24 (*.f64 (pow.f64 eps 4) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) x)) (*.f64 1/24 (*.f64 (pow.f64 eps 4) x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) x)) (+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) x)) (*.f64 1/24 (*.f64 (pow.f64 eps 4) x)))))
(*.f64 x (-.f64 (cos.f64 eps) 1))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
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(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))))
(+.f64 (fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)))
(+.f64 (fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(*.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2))) (neg.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (*.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))))
(pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))) 2)) (cbrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (sqrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1)
(pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
Outputs
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 x (/.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))) (pow.f64 x 3)) (cos.f64 (*.f64 eps 1/2))) (/.f64 x (/.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))) (/.f64 (cos.f64 (*.f64 eps 1/2)) (pow.f64 x 3))) (/.f64 x (/.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 5) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))) (pow.f64 x 3)) (cos.f64 (*.f64 eps 1/2))) (fma.f64 1/120 (/.f64 (*.f64 (*.f64 (pow.f64 x 5) (sin.f64 eps)) (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 eps 1/2))) (/.f64 x (/.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2)))))))
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eps
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(fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) eps)
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eps
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(fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) eps)
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(*.f64 eps (cos.f64 x))
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(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2))
eps
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(fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) eps)
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(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) -1/2)
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(fma.f64 -1/2 (pow.f64 eps 2) (*.f64 (pow.f64 eps 4) 1/24))
(fma.f64 (pow.f64 eps 2) -1/2 (*.f64 (pow.f64 eps 4) 1/24))
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(pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 3)
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(pow.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3) 1/3)
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 2)
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(pow.f64 (E.f64) (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))) 2)) (cbrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (sqrt.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))
(fabs.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 0))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 2) (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 0))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 0))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3) 1/3)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))

eval331.0ms (2%)

Compiler

Compiled 21306 to 11853 computations (44.4% saved)

prune162.0ms (1%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New7945799
Fresh224
Picked235
Done033
Total79813811
Accuracy
100.0%
Counts
811 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) -1/2))
99.4%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (sin.f64 x)))
99.3%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
100.0%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))
63.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
98.8%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
97.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
96.5%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
97.9%
(*.f64 eps (cos.f64 x))
95.8%
(sin.f64 eps)
89.7%
(exp.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))))
95.8%
eps
Compiler

Compiled 266 to 186 computations (30.1% saved)

localize346.0ms (2.1%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
99.9%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))
100.0%
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
100.0%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
100.0%
(*.f64 eps (cos.f64 x))
99.9%
(*.f64 (pow.f64 eps 2) x)
100.0%
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
100.0%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
99.9%
(*.f64 eps (pow.f64 x 2))
100.0%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))
100.0%
(*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))
100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
99.9%
(*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2))))
Compiler

Compiled 185 to 97 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
Operation ival-cos, time spent: 60.0ms, 36.0% of total-time
Operation ival-mult, time spent: 57.0ms, 34.0% of total-time
Operation ival-pow, time spent: 14.0ms, 8.0% of total-time
Operation ival-sin, time spent: 13.0ms, 8.0% of total-time
Operation ival-tan, time spent: 9.0ms, 5.0% of total-time
Operation ival-add, time spent: 8.0ms, 5.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-sub, time spent: 1.0ms, 1.0% of total-time

series16.0ms (0.1%)

Counts
10 → 108
Calls

57 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (pow.f64 eps 2) x)
1.0ms
x
@0
(*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2))))
0.0ms
eps
@0
(*.f64 eps (pow.f64 x 2))
0.0ms
eps
@0
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
0.0ms
eps
@-inf
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))

rewrite139.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
618×associate-*r*
324×prod-diff
289×log1p-expm1-u
289×expm1-log1p-u
281×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035346
1607338
Stop Event
node limit
Counts
10 → 235
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))) 1)
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))) 1)
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(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8)) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (*.f64 x (pow.f64 eps 2)) -1/2 (*.f64 eps (cos.f64 x)))
(fma.f64 1 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(fma.f64 1 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) x (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) 1/3)
(pow.f64 (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.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)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))

simplify254.0ms (1.5%)

Algorithm
egg-herbie
Rules
1272×log-prod
1180×associate-*r*
1084×associate-*l*
1018×fma-def
464×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071922425
1186820270
2738320270
Stop Event
node limit
Counts
343 → 411
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 5) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 x 7) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 5) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x)))) (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 -1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 -1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x)))) (*.f64 (pow.f64 eps 8) (+.f64 (*.f64 -1/1440 (sin.f64 x)) (+.f64 (*.f64 -1/10080 (sin.f64 x)) (+.f64 (*.f64 1/2880 (sin.f64 x)) (*.f64 17/40320 (sin.f64 x)))))))))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (+.f64 (*.f64 1/720 (pow.f64 eps 6)) (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/40320 (pow.f64 eps 8)) (+.f64 (*.f64 1/720 (pow.f64 eps 6)) (*.f64 1/2 (pow.f64 eps 2)))))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/12 (sin.f64 x)) (*.f64 1/24 (sin.f64 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(sin.f64 eps)
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(*.f64 1 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(*.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) -1/8)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (-.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps)))))
(*.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4)) (/.f64 1 (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(/.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (-.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps))) (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) -1/8))))
(/.f64 1 (/.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2)))) (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4))))
(/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) -1/8)) (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (-.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4)) (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) -1/8))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) (-.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4))) (neg.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) -1/8) (pow.f64 eps 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4) (pow.f64 eps 2)) (-.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps))
(pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)))
(fma.f64 (*.f64 eps (pow.f64 x 2)) -1/2 eps)
(fma.f64 -1/2 (*.f64 eps (pow.f64 x 2)) eps)
(fma.f64 1 eps (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 1 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) eps)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)) 2) (cbrt.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 eps)) x) (*.f64 (sqrt.f64 (*.f64 -1/2 eps)) x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (*.f64 -1/2 eps) (pow.f64 x 2) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))) 1)
(pow.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) -1/8) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 eps)) x) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 4)) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (pow.f64 x 2)) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)))
(exp.f64 (log.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 x (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 eps 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 eps 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 eps 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(*.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(*.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) (pow.f64 (*.f64 eps (cos.f64 x)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (pow.f64 (*.f64 eps (cos.f64 x)) 2))) (neg.f64 (-.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8)) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (-.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 -1/2 (*.f64 x (pow.f64 eps 2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (*.f64 x (pow.f64 eps 2)) -1/2 (*.f64 eps (cos.f64 x)))
(fma.f64 1 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(fma.f64 1 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) x (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) 1/3)
(pow.f64 (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.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)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
Outputs
(/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))
(/.f64 x (/.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2)))))
(/.f64 x (/.f64 (/.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))) (sin.f64 eps)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps)))) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 1/2 eps)))) (cos.f64 (*.f64 1/2 eps))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))) (pow.f64 x 3)) (cos.f64 (*.f64 eps 1/2))) (/.f64 x (/.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 x 3) (cos.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2)))) (/.f64 x (/.f64 (/.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))) (sin.f64 eps))))
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(sin.f64 eps)
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eps
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (pow.f64 x 2))
(*.f64 eps (*.f64 -1/2 (pow.f64 x 2)))
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(*.f64 eps (cos.f64 x))
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(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
eps
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(fma.f64 (*.f64 (pow.f64 eps 2) -1/2) x eps)
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(+.f64 eps (*.f64 -1/2 (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 x (pow.f64 eps 2)))))
(fma.f64 -1/2 (fma.f64 eps (pow.f64 x 2) (*.f64 x (pow.f64 eps 2))) eps)
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(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) 1/2))
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(fma.f64 -1/4 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
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(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))))
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(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (fma.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
(fma.f64 (neg.f64 x) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
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(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (fma.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))))))
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(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
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(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
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(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
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(fma.f64 (*.f64 (pow.f64 eps 2) -1/2) x (*.f64 eps (cos.f64 x)))
(fma.f64 (*.f64 -1/2 (pow.f64 eps 2)) x (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))
(fma.f64 (*.f64 (pow.f64 eps 2) -1/2) x (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))) 1)
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(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
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(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 3)
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) -1/8) 1/3)
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3)))
(cbrt.f64 (*.f64 (*.f64 -1/8 (pow.f64 eps 6)) (pow.f64 x 3)))
(pow.f64 (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 -1/2)) 2)
(pow.f64 (*.f64 eps (*.f64 (sqrt.f64 x) (sqrt.f64 -1/2))) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 4)) 1/4))
(sqrt.f64 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 4) 1/4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 eps 2)) -1/2))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))))))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
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(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3)))
(cbrt.f64 (*.f64 (*.f64 -1/8 (pow.f64 eps 6)) (pow.f64 x 3)))
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(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))) 1))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))))
(*.f64 -1/2 (*.f64 x (pow.f64 eps 2)))
(*.f64 x (*.f64 (pow.f64 eps 2) -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 1)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))))
(*.f64 1/2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))))
(*.f64 1/2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))))
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(/.f64 (-.f64 (neg.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 1)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 3)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 3) 1/3)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 2)
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2))
(fabs.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1)))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
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(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
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(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
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(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
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(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))) 1))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 (*.f64 x 1))))

eval312.0ms (1.9%)

Compiler

Compiled 11689 to 6813 computations (41.7% saved)

prune173.0ms (1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New4742476
Fresh112
Picked145
Done156
Total47712489
Accuracy
100.0%
Counts
489 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) -1/2))
99.3%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
63.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
98.8%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
97.9%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
96.5%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
100.0%
(*.f64 (sin.f64 eps) (+.f64 (cos.f64 x) (*.f64 (tan.f64 (*.f64 eps 1/2)) (neg.f64 (sin.f64 x)))))
96.5%
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
97.9%
(*.f64 eps (cos.f64 x))
95.8%
(sin.f64 eps)
95.8%
eps
Compiler

Compiled 503 to 310 computations (38.4% saved)

regimes62.0ms (0.4%)

Counts
23 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(*.f64 (sin.f64 eps) (+.f64 (cos.f64 x) (*.f64 (tan.f64 (*.f64 eps 1/2)) (neg.f64 (sin.f64 x)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) 2) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) -1/2))
(+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3) (*.f64 -1/8 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 3))) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) 2)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2) (*.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))
Outputs
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))
Calls

3 calls:

37.0ms
eps
11.0ms
x
11.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(*.f64 (sin.f64 eps) (+.f64 (cos.f64 x) (*.f64 (tan.f64 (*.f64 eps 1/2)) (neg.f64 (sin.f64 x)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
Outputs
(*.f64 (sin.f64 eps) (+.f64 (cos.f64 x) (*.f64 (tan.f64 (*.f64 eps 1/2)) (neg.f64 (sin.f64 x)))))
Calls

3 calls:

12.0ms
x
12.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
eps
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
Calls

3 calls:

8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
Outputs
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
Calls

3 calls:

7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
97.9%1x
97.9%1eps
97.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

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

3 calls:

6.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
97.9%1eps
97.9%1x
97.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
Outputs
(sin.f64 eps)
Calls

2 calls:

10.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
95.8%1x
95.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
95.8%1x
95.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
38×*-commutative
20×+-commutative
14×sub-neg
12×neg-mul-1
12×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036256
161252
278252
393252
4101252
5105252
6106252
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))
(*.f64 (sin.f64 eps) (+.f64 (cos.f64 x) (*.f64 (tan.f64 (*.f64 eps 1/2)) (neg.f64 (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
Outputs
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))))
(*.f64 (sin.f64 eps) (+.f64 (cos.f64 x) (*.f64 (tan.f64 (*.f64 eps 1/2)) (neg.f64 (sin.f64 x)))))
(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 x (pow.f64 eps 2))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
Compiler

Compiled 77 to 55 computations (28.6% saved)

soundness1.7s (10.2%)

Rules
1440×fma-def
1290×fma-def
1272×log-prod
1180×associate-*r*
1090×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2245447
03748764
18728390
226937952
046444
1783436
081422744
1224821416
2693921412
040485
1715473
093629750
1258427489
01247
116047
2245447
035346
1607338
071922425
1186820270
2738320270
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 917 to 437 computations (52.3% saved)

end0.0ms (0%)

preprocess80.0ms (0.5%)

Compiler

Compiled 178 to 108 computations (39.3% saved)

Profiling

Loading profile data...