2sin (example 3.3)

Time bar (total: 16.5s)

analyze108.0ms (0.7%)

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: 84.0ms
Operation ival-<, time spent: 47.0ms, 56.0% of total-time
Operation ival-fabs, time spent: 12.0ms, 14.0% of total-time
Operation ival-sin, time spent: 10.0ms, 12.0% of total-time
Operation ival-mult, time spent: 4.0ms, 5.0% of total-time
Operation ival-<=, time spent: 3.0ms, 4.0% of total-time
Operation ival-add, time spent: 2.0ms, 2.0% of total-time
Operation ival-sub, time spent: 2.0ms, 2.0% of total-time
Operation ival-and, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

sample6.6s (39.7%)

Results
4.5s25796×256precondition
1.5s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
Operation ival-sin, time spent: 981.0ms, 29.0% of total-time
Operation ival-add, time spent: 697.0ms, 21.0% of total-time
Operation ival-<=, time spent: 377.0ms, 11.0% of total-time
Operation ival-mult, time spent: 340.0ms, 10.0% of total-time
Operation ival-<, time spent: 338.0ms, 10.0% of total-time
Operation ival-sub, time spent: 216.0ms, 6.0% of total-time
Operation ival-fabs, time spent: 205.0ms, 6.0% of total-time
Operation ival-and, time spent: 129.0ms, 4.0% of total-time
Operation const, time spent: 74.0ms, 2.0% of total-time
Bogosity

preprocess217.0ms (1.3%)

Algorithm
egg-herbie
Rules
308×fma-neg
118×fma-define
98×sub-neg
78×cancel-sign-sub-inv
70×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2272(3.837054386951954e-246 2.0542033081388286e-248)5(-1.7899217319936688e-141 2.554804630425279e-143)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10-0-(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
6638210
7720210
8762210
9768210
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: 24.0ms
Operation ival-sin, time spent: 15.0ms, 63.0% of total-time
Operation ival-add, time spent: 6.0ms, 25.0% of total-time
Operation ival-sub, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% 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
61.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize55.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sin.f64 (+.f64 x eps))
61.3%
(-.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: 20.0ms
Operation ival-sin, time spent: 15.0ms, 75.0% of total-time
Operation ival-add, time spent: 3.0ms, 15.0% of total-time
Operation ival-sub, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series21.0ms (0.1%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps)))) 1)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 x (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))))))) 1)))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 -1/6 (*.f64 x (cos.f64 eps))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 -1 x)))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 -1 eps)))>
Calls

12 calls:

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

rewrite983.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
922×fma-define
802×log-prod
422×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2246047
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))))
(log1p.f64 (expm1.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))
(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 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 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (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))))
(log1p.f64 (expm1.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))
(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 (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 (*.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 (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 (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)))

simplify183.0ms (1.1%)

Algorithm
egg-herbie
Rules
1082×unsub-neg
674×sub-neg
662×fma-neg
618×div-sub
602×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03838992
18678632
224398236
368938236
Stop Event
node limit
Counts
199 → 230
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps)))) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 x (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))))))) 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 (*.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 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (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 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 x (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 -1/6 (*.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 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.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)))
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(+.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))))
(log1p.f64 (expm1.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))
(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 (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 (*.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 (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 (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)))
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 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps)))) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 -1/2 x) (sin.f64 eps)) 1))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) x) -1)) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x -1/2) -1)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 x (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))))))) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 -1/2 (sin.f64 eps) (*.f64 x (+.f64 1/6 (*.f64 (cos.f64 eps) -1/6))))) 1))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 x (fma.f64 (cos.f64 eps) -1/6 1/6))) -1)) (sin.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 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 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (*.f64 eps -1/2) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/6 eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps -1/6))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 (*.f64 1/24 eps) (sin.f64 x))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 -1/2 (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps 1/24))) (*.f64 -1/2 (sin.f64 x))) (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 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 x (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 (*.f64 -1/2 x) (sin.f64 eps)))))
(fma.f64 x (fma.f64 -1/2 (*.f64 (sin.f64 eps) x) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 -1/6 (*.f64 x (cos.f64 eps))))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 -1/2 (sin.f64 eps) (*.f64 -1/6 (*.f64 x (cos.f64 eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 x (*.f64 (cos.f64 eps) -1/6))) (cos.f64 eps)) (sin.f64 eps))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 (cos.f64 eps) (*.f64 x -1/6))) (cos.f64 eps)) (sin.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 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 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 -1/2 eps) (sin.f64 x)))))
(fma.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(fma.f64 eps (fma.f64 (*.f64 eps -1/2) (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x))))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/6 eps) (cos.f64 x)))))))
(fma.f64 eps (fma.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps -1/6))) (cos.f64 x)) (sin.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 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 (cos.f64 eps) -1)))
(+.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 (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 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) 1/2))))
(*.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 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) 1/2))))
(*.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 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 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 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 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 (+.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.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)))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 (-.f64 x eps)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))))) (sin.f64 (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sin.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sin.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(sin.f64 (+.f64 eps x))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(sin.f64 (+.f64 eps x))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(sin.f64 (+.f64 eps x))
(fma.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 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.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 (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 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 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 (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 (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 (*.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 (*.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 (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 (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)))

eval110.0ms (0.7%)

Compiler

Compiled 4201 to 1287 computations (69.4% saved)

prune79.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2246230
Fresh000
Picked011
Done000
Total2247231
Accuracy
100.0%
Counts
231 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
61.3%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 2)
99.9%
(*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
99.8%
(*.f64 eps (cos.f64 x))
99.2%
(sin.f64 eps)
Compiler

Compiled 197 to 136 computations (31% saved)

localize456.0ms (2.8%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(*.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)))
100.0%
(*.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))
61.3%
(+.f64 x (-.f64 eps x))
100.0%
(*.f64 eps (cos.f64 x))
100.0%
(*.f64 -1/6 (cos.f64 x))
99.8%
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
99.7%
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
99.5%
(*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
Compiler

Compiled 285 to 140 computations (50.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
Operation ival-mult, time spent: 187.0ms, 68.0% of total-time
Operation ival-add, time spent: 26.0ms, 10.0% of total-time
Operation ival-sin, time spent: 18.0ms, 7.0% of total-time
Operation composed, time spent: 17.0ms, 6.0% of total-time
Operation ival-cos, time spent: 15.0ms, 5.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time
Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

series42.0ms (0.3%)

Counts
10 → 159
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 -1/6 (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))>
#<alt (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))>
Outputs
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 2) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 2) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 -1/6 eps)>
#<alt (+.f64 (*.f64 -1/6 eps) (*.f64 1/24 (*.f64 (pow.f64 eps 2) x)))>
#<alt (+.f64 (*.f64 -1/6 eps) (*.f64 x (+.f64 (*.f64 1/24 (pow.f64 eps 2)) (*.f64 1/12 (*.f64 eps x)))))>
#<alt (+.f64 (*.f64 -1/6 eps) (*.f64 x (+.f64 (*.f64 1/24 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/144 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 eps))))))>
#<alt (*.f64 1/24 (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/144 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps)))>
#<alt (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 1/2880 (*.f64 eps (pow.f64 x 2)))))))>
#<alt (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/120960 (*.f64 eps (pow.f64 x 2))) (*.f64 1/2880 eps)))))))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1/6 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))>
#<alt -1/6>
#<alt (-.f64 (*.f64 1/12 (pow.f64 x 2)) 1/6)>
#<alt (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 -1/144 (pow.f64 x 2)))) 1/6)>
#<alt (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4320 (pow.f64 x 2)) 1/144)))) 1/6)>
#<alt eps>
#<alt (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 1/24 (*.f64 eps (pow.f64 x 2))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))))))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 eps))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))>
#<alt (+.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))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (*.f64 x (*.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))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (+.f64 (*.f64 -1/48 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))))))))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (cos.f64 (*.f64 1/2 eps))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))>
#<alt (+.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)))))>
#<alt (+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))))>
#<alt (+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/3 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 2 (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) (*.f64 2 (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
4.0ms
eps
@inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* eps 1/2))))
3.0ms
eps
@0
(* (sin (* (+ x (- eps x)) 1/2)) (cos (* (+ eps (+ x x)) 1/2)))
1.0ms
eps
@0
(* 1/24 (* eps (sin x)))
1.0ms
x
@-inf
(* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))

rewrite123.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
296×log1p-expm1-u
296×expm1-log1p-u
292×add-cube-cbrt
290×add-exp-log
290×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041356
1676356
Stop Event
node limit
Counts
10 → 194
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 -1/6 (cos.f64 x))
(*.f64 eps (cos.f64 x))
(+.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)))
(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))))
Outputs
(+.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 -1/6 (cos.f64 x))))
(+.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps))
(+.f64 (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 -1/6 (cos.f64 x)) eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 1) (*.f64 (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))) 1))
(+.f64 (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) 1) (*.f64 (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 3) (pow.f64 (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))) 3)) (+.f64 (*.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x))))) (*.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) 3) (pow.f64 (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps) 3)) (+.f64 (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) (*.f64 (*.f64 -1/6 (cos.f64 x)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps)) (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) (*.f64 (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))))) (-.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) (*.f64 (*.f64 -1/6 (cos.f64 x)) eps)) (*.f64 (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps))) (-.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps)))
(pow.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))) 1))
(fma.f64 eps (*.f64 -1/6 (cos.f64 x)) (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
(fma.f64 (*.f64 -1/6 (cos.f64 x)) eps (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))))) 1)
(pow.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/13824))
(expm1.f64 (log1p.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x)))) 1))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))) (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) -1/2) eps) (*.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) eps))
(+.f64 (*.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) eps) (*.f64 (*.f64 (sin.f64 x) -1/2) eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 (sin.f64 x) -1/2)) 1) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))) 1))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) -1/2) eps) 1) (*.f64 (*.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) eps) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2))))) 1)
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(fma.f64 eps (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(fma.f64 (*.f64 (sin.f64 x) -1/2) eps (*.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))) eps))
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(pow.f64 (pow.f64 (*.f64 -1/6 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (cos.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (cos.f64 x)) 3))
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(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
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(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))) 1))
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(*.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
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(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3))
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(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
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(pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 1)
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(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 1))

simplify329.0ms (2%)

Algorithm
egg-herbie
Rules
1408×associate-*r*
1370×fma-define
1368×fma-neg
1242×associate-*l*
530×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069316288
1196514977
2705814977
Stop Event
node limit
Counts
353 → 395
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 eps (cos.f64 x)))
(*.f64 1/24 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 1/24 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 -1/6 eps)
(+.f64 (*.f64 -1/6 eps) (*.f64 1/24 (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 -1/6 eps) (*.f64 x (+.f64 (*.f64 1/24 (pow.f64 eps 2)) (*.f64 1/12 (*.f64 eps x)))))
(+.f64 (*.f64 -1/6 eps) (*.f64 x (+.f64 (*.f64 1/24 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/144 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 eps))))))
(*.f64 1/24 (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 -1/144 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps)))
(*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 1/2880 (*.f64 eps (pow.f64 x 2)))))))
(*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/120960 (*.f64 eps (pow.f64 x 2))) (*.f64 1/2880 eps)))))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1/6 (pow.f64 eps 2))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))
-1/6
(-.f64 (*.f64 1/12 (pow.f64 x 2)) 1/6)
(-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 -1/144 (pow.f64 x 2)))) 1/6)
(-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4320 (pow.f64 x 2)) 1/144)))) 1/6)
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 1/24 (*.f64 eps (pow.f64 x 2))))))
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 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 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (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 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (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 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (*.f64 x (*.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 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.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 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))))
(*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (+.f64 (*.f64 -1/48 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 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)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (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))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (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))))
(*.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 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1 (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))))
(+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 x (+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/3 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 2 (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) (*.f64 2 (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 -1/6 (cos.f64 x))))
(+.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps))
(+.f64 (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 -1/6 (cos.f64 x)) eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 1) (*.f64 (*.f64 eps (*.f64 1/24 (*.f64 eps (sin.f64 x)))) 1))
(+.f64 (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) eps) 1) (*.f64 (*.f64 (*.f64 1/24 (*.f64 eps (sin.f64 x))) eps) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))))) 1)
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(log.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))) 1)
(/.f64 (+.f64 (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 -1/2 (fma.f64 2 x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) 1/2 (*.f64 (fma.f64 2 x eps) 1/2)))) 2)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 -1/2 (fma.f64 2 x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) 1/2 (*.f64 (fma.f64 2 x eps) 1/2))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 -1/2 (fma.f64 2 x eps)))) (sin.f64 (fma.f64 (+.f64 x (-.f64 eps x)) 1/2 (*.f64 (fma.f64 2 x eps) 1/2))))) -2)
(pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3) (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))) 1)
(*.f64 1 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))) 1)
(pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 1))
Outputs
(*.f64 -1/6 (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 x) (*.f64 -1/6 eps))
(*.f64 1/24 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
(*.f64 1/24 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
(*.f64 -1/6 eps)
(+.f64 (*.f64 -1/6 eps) (*.f64 1/24 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 eps (*.f64 1/24 (*.f64 x (pow.f64 eps 2))))
(fma.f64 -1/6 eps (*.f64 (pow.f64 eps 2) (*.f64 x 1/24)))
(+.f64 (*.f64 -1/6 eps) (*.f64 x (+.f64 (*.f64 1/24 (pow.f64 eps 2)) (*.f64 1/12 (*.f64 eps x)))))
(fma.f64 -1/6 eps (*.f64 x (fma.f64 1/24 (pow.f64 eps 2) (*.f64 (*.f64 eps 1/12) x))))
(fma.f64 x (fma.f64 1/24 (pow.f64 eps 2) (*.f64 eps (*.f64 x 1/12))) (*.f64 -1/6 eps))
(+.f64 (*.f64 -1/6 eps) (*.f64 x (+.f64 (*.f64 1/24 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/144 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 eps))))))
(fma.f64 -1/6 eps (*.f64 x (fma.f64 1/24 (pow.f64 eps 2) (*.f64 x (fma.f64 -1/144 (*.f64 x (pow.f64 eps 2)) (*.f64 eps 1/12))))))
(fma.f64 x (fma.f64 x (fma.f64 eps 1/12 (*.f64 x (*.f64 (pow.f64 eps 2) -1/144))) (*.f64 1/24 (pow.f64 eps 2))) (*.f64 -1/6 eps))
(*.f64 1/24 (*.f64 eps x))
(*.f64 eps (*.f64 x 1/24))
(*.f64 x (+.f64 (*.f64 -1/144 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps)))
(*.f64 x (fma.f64 -1/144 (*.f64 eps (pow.f64 x 2)) (*.f64 eps 1/24)))
(*.f64 x (fma.f64 eps 1/24 (*.f64 (pow.f64 x 2) (*.f64 eps -1/144))))
(*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 1/2880 (*.f64 eps (pow.f64 x 2)))))))
(*.f64 x (fma.f64 1/24 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/144 eps (*.f64 (*.f64 eps (pow.f64 x 2)) 1/2880)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 eps -1/144 (*.f64 eps (*.f64 (pow.f64 x 2) 1/2880))) (*.f64 eps 1/24)))
(*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/120960 (*.f64 eps (pow.f64 x 2))) (*.f64 1/2880 eps)))))))
(*.f64 x (fma.f64 1/24 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/144 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/120960 (*.f64 eps (pow.f64 x 2)) (*.f64 eps 1/2880)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (*.f64 eps -1/120960) (pow.f64 x 2) (*.f64 eps 1/2880)) (*.f64 eps -1/144)) (*.f64 eps 1/24)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) -1/2))
(*.f64 (sin.f64 x) (*.f64 eps -1/2))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 (sin.f64 x) -1/2 (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x))) (pow.f64 eps 3))
(*.f64 (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps))) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 1/24 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 -1/6 eps)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1/24 (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) 1/6))))
(*.f64 (pow.f64 eps 3) (neg.f64 (fma.f64 (/.f64 (cos.f64 x) eps) 1/6 (*.f64 (sin.f64 x) -1/24))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) eps) (*.f64 -1/6 (cos.f64 x))) eps) (*.f64 (sin.f64 x) -1/24))))
(*.f64 (pow.f64 eps 3) (neg.f64 (-.f64 (*.f64 (sin.f64 x) -1/24) (/.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 -1/2 eps))) eps))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) eps) (*.f64 -1/6 (cos.f64 x))) eps) (*.f64 (sin.f64 x) -1/24))))
(*.f64 (pow.f64 eps 3) (neg.f64 (-.f64 (*.f64 (sin.f64 x) -1/24) (/.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 -1/2 eps))) eps))))
(*.f64 -1/6 (pow.f64 eps 2))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))
(fma.f64 -1/6 (pow.f64 eps 2) (*.f64 eps (*.f64 x (fma.f64 1/24 (pow.f64 eps 2) -1/2))))
(fma.f64 -1/6 (pow.f64 eps 2) (*.f64 (*.f64 eps x) (fma.f64 1/24 (pow.f64 eps 2) -1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))
(fma.f64 -1/6 (pow.f64 eps 2) (*.f64 x (fma.f64 1/12 (*.f64 x (pow.f64 eps 2)) (*.f64 eps (fma.f64 1/24 (pow.f64 eps 2) -1/2)))))
(fma.f64 x (fma.f64 eps (fma.f64 1/24 (pow.f64 eps 2) -1/2) (*.f64 x (*.f64 (pow.f64 eps 2) 1/12))) (*.f64 -1/6 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))
(fma.f64 -1/6 (pow.f64 eps 2) (*.f64 x (fma.f64 eps (fma.f64 1/24 (pow.f64 eps 2) -1/2) (*.f64 x (fma.f64 1/12 (pow.f64 eps 2) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 (pow.f64 eps 2) -1/144)))))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x (fma.f64 (pow.f64 eps 2) -1/144 1/12)) (*.f64 (pow.f64 eps 2) 1/12)) (*.f64 eps (fma.f64 1/24 (pow.f64 eps 2) -1/2))) (*.f64 -1/6 (pow.f64 eps 2)))
-1/6
(-.f64 (*.f64 1/12 (pow.f64 x 2)) 1/6)
(fma.f64 1/12 (pow.f64 x 2) -1/6)
(-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 -1/144 (pow.f64 x 2)))) 1/6)
(fma.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 -1/144 (pow.f64 x 2))) -1/6)
(fma.f64 (pow.f64 x 2) (fma.f64 -1/144 (pow.f64 x 2) 1/12) -1/6)
(-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/4320 (pow.f64 x 2)) 1/144)))) 1/6)
(fma.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (fma.f64 1/4320 (pow.f64 x 2) -1/144))) -1/6)
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/4320 -1/144) 1/12) -1/6)
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 (*.f64 eps (pow.f64 x 2)) -1/2))
(fma.f64 (*.f64 eps (pow.f64 x 2)) -1/2 eps)
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 1/24 (*.f64 eps (pow.f64 x 2))))))
(+.f64 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/2 eps (*.f64 1/24 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (*.f64 eps 1/24) (pow.f64 x 2) (*.f64 eps -1/2)) eps)
(+.f64 eps (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps))))))
(+.f64 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/2 eps (*.f64 (pow.f64 x 2) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 2)) (*.f64 eps 1/24))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 eps 1/24 (*.f64 eps (*.f64 (pow.f64 x 2) -1/720))) (*.f64 eps -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 eps (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 x) (*.f64 eps -1/2) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) -1/8) (*.f64 (sin.f64 x) -1/2))))
(fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) -1/8 (*.f64 (sin.f64 x) -1/2)) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 (sin.f64 x) -1/2)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 -1/8 (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) 1/48))) (*.f64 (sin.f64 x) -1/2))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) -1/8 (*.f64 eps (*.f64 (sin.f64 x) 1/48))) (*.f64 (sin.f64 x) -1/2)) (cos.f64 x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 eps))
(cos.f64 (*.f64 eps 1/2))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 eps 1/2)) (neg.f64 (*.f64 x (sin.f64 (*.f64 eps 1/2)))))
(-.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (sin.f64 (*.f64 eps 1/2))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2)))))
(fma.f64 x (fma.f64 -1/2 (*.f64 x (cos.f64 (*.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(fma.f64 x (fma.f64 x (*.f64 -1/2 (cos.f64 (*.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (-.f64 (*.f64 x (fma.f64 -1/2 (cos.f64 (*.f64 eps 1/2)) (*.f64 (*.f64 1/6 x) (sin.f64 (*.f64 eps 1/2))))) (sin.f64 (*.f64 eps 1/2)))))
(fma.f64 x (fma.f64 x (fma.f64 -1/2 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (*.f64 (sin.f64 (*.f64 eps 1/2)) 1/6))) (neg.f64 (sin.f64 (*.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2)))
(+.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))))
(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(+.f64 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (*.f64 x (*.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))))
(fma.f64 x (fma.f64 -1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 -1/2 (*.f64 (*.f64 x (cos.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2))))) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))))
(fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 x -1/2) (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 eps 1/2))) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))))
(+.f64 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 x (fma.f64 -1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))) (*.f64 1/6 (*.f64 x (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))))
(fma.f64 x (fma.f64 x (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x 1/6))) (neg.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 eps 1/2))))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 eps (cos.f64 x)) 1/2)
(*.f64 (cos.f64 x) (*.f64 eps 1/2))
(*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))
(*.f64 eps (fma.f64 -1/4 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) 1/2)))
(*.f64 eps (fma.f64 (cos.f64 x) 1/2 (*.f64 eps (*.f64 (sin.f64 x) -1/4))))
(*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))))
(*.f64 eps (fma.f64 1/2 (cos.f64 x) (*.f64 eps (fma.f64 -1/4 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/12))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) -1/12) (*.f64 (sin.f64 x) -1/4)) (*.f64 (cos.f64 x) 1/2)))
(*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (+.f64 (*.f64 -1/48 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))))))))
(*.f64 eps (fma.f64 1/2 (cos.f64 x) (*.f64 eps (fma.f64 -1/4 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) -1/12) (*.f64 (*.f64 eps (sin.f64 x)) 1/48)))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) -1/12 (*.f64 eps (*.f64 (sin.f64 x) 1/48))) (*.f64 (sin.f64 x) -1/4)) (*.f64 (cos.f64 x) 1/2)))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.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 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (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 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (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 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (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 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))) (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 x)))
(cos.f64 (*.f64 1/2 eps))
(cos.f64 (*.f64 eps 1/2))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 eps 1/2)) (neg.f64 (*.f64 x (sin.f64 (*.f64 eps 1/2)))))
(-.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (sin.f64 (*.f64 eps 1/2))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 eps 1/2)))) (sin.f64 (*.f64 eps 1/2)))))
(fma.f64 x (fma.f64 -1/2 (*.f64 x (cos.f64 (*.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(fma.f64 x (fma.f64 x (*.f64 -1/2 (cos.f64 (*.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
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(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 1)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 3)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3) 1/3)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 2)
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) 2))
(fabs.f64 (cos.f64 (fma.f64 eps 1/2 x)))
(log.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 eps 1/2 x))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(exp.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) 1))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))))
(pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 1)
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 3)
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 3) 1/3)
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 2)
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 2))
(fabs.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2))) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))))))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2)))) 3))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3) (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3)))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) 3)))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 2 x eps) 1/2)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))) 1))
(*.f64 (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (fma.f64 eps 1/2 x))))

eval191.0ms (1.2%)

Compiler

Compiled 10196 to 5954 computations (41.6% saved)

prune69.0ms (0.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3914395
Fresh101
Picked235
Done011
Total3948402
Accuracy
100.0%
Counts
402 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2))))))))
99.8%
(*.f64 eps (cos.f64 x))
99.2%
(sin.f64 eps)
99.2%
eps
Compiler

Compiled 115 to 78 computations (32.2% saved)

localize2.6s (15.7%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
99.9%
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
100.0%
(*.f64 (cos.f64 x) (*.f64 -1/6 eps))
99.8%
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))
99.5%
(*.f64 -1/6 eps)
100.0%
(fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
99.8%
(*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2)))
99.7%
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
51.3%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2))))))
Compiler

Compiled 328 to 177 computations (46% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.4s
Operation ival-mult, time spent: 573.0ms, 24.0% of total-time
Operation composed, time spent: 463.0ms, 19.0% of total-time
Operation ival-sin, time spent: 416.0ms, 17.0% of total-time
Operation ival-log, time spent: 376.0ms, 15.0% of total-time
Operation ival-cos, time spent: 177.0ms, 7.0% of total-time
Operation ival-exp, time spent: 166.0ms, 7.0% of total-time
Operation ival-add, time spent: 123.0ms, 5.0% of total-time
Operation ival-sub, time spent: 110.0ms, 5.0% of total-time
Operation const, time spent: 31.0ms, 1.0% of total-time

series22.0ms (0.1%)

Counts
8 → 152
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2))))))>
#<alt (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2)))>
#<alt (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 -1/6 eps)>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))>
#<alt (*.f64 (cos.f64 x) (*.f64 -1/6 eps))>
#<alt (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))>
Outputs
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1/6 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1/6 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt -1/6>
#<alt (-.f64 (*.f64 1/24 (*.f64 eps x)) 1/6)>
#<alt (-.f64 (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 1/12 x))) 1/6)>
#<alt (-.f64 (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 x (+.f64 1/12 (*.f64 -1/144 (*.f64 eps x)))))) 1/6)>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 -1/6 (cos.f64 x))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))>
#<alt (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))>
#<alt (*.f64 -1/6 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/6 (pow.f64 eps 2)))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 eps x)) (*.f64 1/12 (pow.f64 eps 2)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 -1/6 eps)>
#<alt (+.f64 (*.f64 -1/6 eps) (*.f64 1/12 (*.f64 eps (pow.f64 x 2))))>
#<alt (+.f64 (*.f64 -1/6 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 eps))))>
#<alt (+.f64 (*.f64 -1/6 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 1/4320 (*.f64 eps (pow.f64 x 2))))))))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1/6 (*.f64 eps (cos.f64 x)))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 -1/8 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))) (*.f64 1/2 (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps))))>
#<alt (cos.f64 (*.f64 1/2 eps))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 -1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))) (sin.f64 (*.f64 1/2 eps)))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))>
#<alt (*.f64 1/2 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/4 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/16 (cos.f64 x)) (+.f64 (*.f64 -1/48 (cos.f64 x)) (*.f64 1/48 (*.f64 eps (sin.f64 x))))))))))>
#<alt (*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 x) (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))>
#<alt (+.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))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1/2 (*.f64 x (*.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))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/6 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
#<alt (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))>
Calls

45 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* eps (+ (* -1/2 (sin x)) (* (cos x) (* -1/6 eps))))
1.0ms
x
@inf
(* eps (+ (* -1/2 (sin x)) (* (cos x) (* -1/6 eps))))
1.0ms
x
@-inf
(* eps (+ (* -1/2 (sin x)) (* (cos x) (* -1/6 eps))))
1.0ms
eps
@-inf
(* eps (+ (* -1/2 (sin x)) (* (cos x) (* -1/6 eps))))
1.0ms
eps
@0
(* eps (+ (* -1/2 (sin x)) (* (cos x) (* -1/6 eps))))

rewrite242.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
726×log1p-expm1-u
550×associate-*r*
340×associate-*l*
237×expm1-log1p-u
233×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038337
1552337
27065337
Stop Event
node limit
Counts
8 → 165
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2))))))
(*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(*.f64 -1/6 eps)
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))
(*.f64 (cos.f64 x) (*.f64 -1/6 eps))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
Outputs
(+.f64 0 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) eps) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) eps))))
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))) (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(+.f64 (*.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))) eps) (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 2) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))))))
(*.f64 1 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))))
(*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))
(*.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)) eps)
(*.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) 1)
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 2))
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(*.f64 (*.f64 eps (sqrt.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) (sqrt.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (*.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
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(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 2)
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(+.f64 0 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))))
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(+.f64 (*.f64 eps (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))) (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(+.f64 (*.f64 (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))) eps) (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))))) 1)
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(pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))) 1))
(fma.f64 eps (*.f64 (sin.f64 x) -1/2) (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)))
(fma.f64 (*.f64 (sin.f64 x) -1/2) eps (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))))) 1)
(pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 eps -1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 eps 1/2) (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sin.f64 (+.f64 (*.f64 eps 1/2) (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 2)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 1))

simplify204.0ms (1.2%)

Algorithm
egg-herbie
Rules
990×associate-*r*
952×fma-define
912×times-frac
856×associate-*l*
838×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055817308
1144816953
2490316601
Stop Event
node limit
Counts
317 → 349
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1/6 (pow.f64 eps 2))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1/6 (pow.f64 eps 2))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
-1/6
(-.f64 (*.f64 1/24 (*.f64 eps x)) 1/6)
(-.f64 (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 1/12 x))) 1/6)
(-.f64 (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 x (+.f64 1/12 (*.f64 -1/144 (*.f64 eps x)))))) 1/6)
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(*.f64 -1/6 (cos.f64 x))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x))))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 -1/6 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))
(*.f64 -1/6 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))))
(*.f64 -1/6 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/6 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)))))
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(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))))))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) (*.f64 (sin.f64 x) -1/2)))) 1))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x)))
(+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))
(+.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) 1) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))) 1)
(*.f64 1 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))
(*.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) 2)) (cbrt.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))) (sqrt.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/6 (cos.f64 x)) 3) (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) 3)) (+.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/6 (cos.f64 x))) (-.f64 (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) 2) (*.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))))
(/.f64 (-.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/6 (cos.f64 x))) (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) 2)) (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))
(pow.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))))
(exp.f64 (log.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps -1/6))) 1)
(pow.f64 (*.f64 eps -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 eps -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 eps -1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 2) 1/36))
(log.f64 (pow.f64 (exp.f64 eps) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps -1/6))))
(cbrt.f64 (pow.f64 (*.f64 eps -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 eps -1/6)))
(log1p.f64 (expm1.f64 (*.f64 eps -1/6)))
(exp.f64 (log.f64 (*.f64 eps -1/6)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps -1/6)) 1))
(+.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)) (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) 1) (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) 3) (pow.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))) (-.f64 (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)) (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2))) (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))) (*.f64 (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)) (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)))) (-.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 3) (*.f64 (pow.f64 (sin.f64 x) 3) -1/8))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) (*.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 2))) (-.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 3) (*.f64 (pow.f64 (sin.f64 x) 3) -1/8)) eps) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) (*.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 2)) eps) (-.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps -1/6) (*.f64 (sin.f64 x) -1/2)))) 1))
(fma.f64 eps (*.f64 (sin.f64 x) -1/2) (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)))
(fma.f64 (*.f64 (sin.f64 x) -1/2) eps (*.f64 (*.f64 -1/6 (cos.f64 x)) (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))))) 1)
(pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (*.f64 eps -1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 -1/6 (cos.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 1)
(*.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 eps 1/2) (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sin.f64 (+.f64 (*.f64 eps 1/2) (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 2)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 1))
Outputs
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps -1/6))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 -1/2 (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) 1/24))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
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(*.f64 (cos.f64 x) (*.f64 eps -1/6))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 1)
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 eps 1/2 x))))
(*.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 2)))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 eps 1/2 x))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 eps 1/2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))) 2)))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 eps 1/2 x))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 eps 1/2 x)) 2)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 1)
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 3)
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) 1/3)
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 2)
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 2))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 eps 1/2 x))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) 1))
(cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(cos.f64 (fma.f64 eps 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 eps 1/2) (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) (sin.f64 (+.f64 (*.f64 eps 1/2) (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (*.f64 eps 1/2) (*.f64 -1/2 (+.f64 eps (*.f64 x 2))))) (sin.f64 (fma.f64 eps 1/2 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 (*.f64 1/2 (+.f64 (fma.f64 x 2 eps) eps)))) 2)
(/.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (fma.f64 eps 1/2 (fma.f64 eps 1/2 x)))) 2)
(pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 1)
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 3)
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 3) 1/3)
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 2)
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 2))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))))))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))) 3))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) 3)))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2)))) 1))
(*.f64 (cos.f64 (*.f64 -1/2 (fma.f64 -2 x (neg.f64 eps)))) (sin.f64 (*.f64 eps 1/2)))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (fma.f64 eps 1/2 x)))

eval262.0ms (1.6%)

Compiler

Compiled 10208 to 6253 computations (38.7% saved)

prune214.0ms (1.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3782380
Fresh000
Picked134
Done044
Total3799388
Accuracy
100.0%
Counts
388 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
100.0%
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))))
99.8%
(*.f64 eps (cos.f64 x))
99.2%
(sin.f64 eps)
99.2%
eps
Compiler

Compiled 141 to 97 computations (31.2% saved)

localize2.2s (13.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 eps (cos.f64 x))
100.0%
(-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))
99.8%
(*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))
99.8%
(*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))
99.8%
(*.f64 eps (*.f64 (sin.f64 x) 1/24))
99.5%
(*.f64 (sin.f64 x) 1/24)
51.3%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))
Compiler

Compiled 311 to 167 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
Operation ival-mult, time spent: 638.0ms, 29.0% of total-time
Operation composed, time spent: 480.0ms, 22.0% of total-time
Operation ival-sin, time spent: 319.0ms, 15.0% of total-time
Operation ival-log, time spent: 278.0ms, 13.0% of total-time
Operation ival-exp, time spent: 186.0ms, 9.0% of total-time
Operation ival-add, time spent: 147.0ms, 7.0% of total-time
Operation ival-sub, time spent: 53.0ms, 2.0% of total-time
Operation ival-cos, time spent: 49.0ms, 2.0% of total-time
Operation const, time spent: 28.0ms, 1.0% of total-time

series22.0ms (0.1%)

Counts
6 → 113
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))>
#<alt (*.f64 (sin.f64 x) 1/24)>
#<alt (*.f64 eps (*.f64 (sin.f64 x) 1/24))>
#<alt (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))>
#<alt (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))>
#<alt (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))>
Outputs
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1/6 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 x (+.f64 1/24 (*.f64 -1/144 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/24 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/144))))>
#<alt (*.f64 x (+.f64 1/24 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/120960 (pow.f64 x 2)))) 1/144))))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (sin.f64 x))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 -1/144 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps)))>
#<alt (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 1/2880 (*.f64 eps (pow.f64 x 2)))))))>
#<alt (*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/120960 (*.f64 eps (pow.f64 x 2))) (*.f64 1/2880 eps)))))))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 1/24 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))>
#<alt (*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))>
#<alt (*.f64 -1/6 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))>
#<alt (+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 -1/2 (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/8 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/8 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/8 (*.f64 eps (cos.f64 x)))))>
#<alt (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 -1/8 (pow.f64 eps 2))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/8 (pow.f64 eps 2)))>
#<alt (+.f64 (*.f64 -1/8 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 1/16 (*.f64 (pow.f64 eps 2) x)))))>
#<alt (+.f64 (*.f64 -1/8 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 -1/2 eps) (*.f64 x (+.f64 (*.f64 1/16 (pow.f64 eps 2)) (*.f64 1/12 (*.f64 eps x)))))))>
#<alt (*.f64 -1/2 (sin.f64 x))>
#<alt (*.f64 -1/8 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))>
#<alt (*.f64 -1/8 (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/8 (cos.f64 x)) (*.f64 1/2 (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/8 (cos.f64 x)) (*.f64 1/2 (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/8 (cos.f64 x)) (*.f64 1/2 (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 -1/8 eps)>
#<alt (+.f64 (*.f64 -1/2 x) (*.f64 -1/8 eps))>
#<alt (+.f64 (*.f64 -1/8 eps) (*.f64 x (-.f64 (*.f64 1/16 (*.f64 eps x)) 1/2)))>
#<alt (+.f64 (*.f64 -1/8 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/16 eps) (*.f64 1/12 x))) 1/2)))>
Calls

33 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(log (+ 1 (- (exp (* eps (+ (* eps (+ (* eps (* (sin x) 1/24)) (* -1/6 (cos x)))) (* (sin x) -1/2)))) 1)))
1.0ms
x
@inf
(* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))
1.0ms
x
@-inf
(* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))
1.0ms
eps
@-inf
(* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))
1.0ms
eps
@0
(* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))

rewrite192.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1215×log1p-expm1-u
414×associate-*r*
344×expm1-log1p-u
262×associate-*l*
184×cbrt-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032272
1432264
25768264
Stop Event
node limit
Counts
6 → 154
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))
(*.f64 (sin.f64 x) 1/24)
(*.f64 eps (*.f64 (sin.f64 x) 1/24))
(*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))
(*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))
(-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x)))
Outputs
(+.f64 0 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))) eps)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))) eps))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))) eps))))
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))))) (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 (*.f64 (*.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x)))) eps) (*.f64 (*.f64 (sin.f64 x) -1/2) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) 3))) (log.f64 (+.f64 1 (*.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) (-.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) 1)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))))))
(*.f64 1 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))
(*.f64 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)) eps)
(*.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))) 1)
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) 2) (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))) 2) (*.f64 (cbrt.f64 (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))) eps))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))
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(*.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (/.f64 1 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) (-.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (sqrt.f64 (*.f64 (sin.f64 x) -1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))) (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8))))
(/.f64 1 (/.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2)))
(/.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8)) (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2)) (neg.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8)) (+.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) 1/64) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3) (pow.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) 3)) (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (-.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))) (*.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))) (-.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))
(pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 1))
(fma.f64 1 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) (*.f64 (sin.f64 x) -1/2))
(fma.f64 1 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (*.f64 eps (cos.f64 x)) -1/8 (*.f64 (sin.f64 x) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) 2) (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (*.f64 eps -1/8) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))

simplify182.0ms (1.1%)

Algorithm
egg-herbie
Rules
1524×distribute-lft-in
1488×distribute-rgt-in
872×cancel-sign-sub-inv
766×fma-define
706×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047514950
1119914628
2408214570
Stop Event
node limit
Counts
267 → 273
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1/6 (pow.f64 eps 2))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 1/24 x)
(*.f64 x (+.f64 1/24 (*.f64 -1/144 (pow.f64 x 2))))
(*.f64 x (+.f64 1/24 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/144))))
(*.f64 x (+.f64 1/24 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/120960 (pow.f64 x 2)))) 1/144))))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (sin.f64 x))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 -1/144 (*.f64 eps (pow.f64 x 2))) (*.f64 1/24 eps)))
(*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 1/2880 (*.f64 eps (pow.f64 x 2)))))))
(*.f64 x (+.f64 (*.f64 1/24 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/144 eps) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/120960 (*.f64 eps (pow.f64 x 2))) (*.f64 1/2880 eps)))))))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 1/24 (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/6 (cos.f64 x))) eps)) (*.f64 -1/24 (sin.f64 x)))))
(*.f64 -1/6 (pow.f64 eps 2))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)))))
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 1/24 (pow.f64 eps 2)) 1/2)) (*.f64 x (+.f64 (*.f64 1/12 (pow.f64 eps 2)) (*.f64 eps (*.f64 x (+.f64 1/12 (*.f64 -1/144 (pow.f64 eps 2))))))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/8 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/8 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/8 (*.f64 eps (cos.f64 x)))))
(*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) eps)) (*.f64 -1/8 (cos.f64 x))))
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(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2)))) 1))
(+.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))
(+.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (*.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) eps))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 eps (*.f64 (sin.f64 x) -1/2)))
(+.f64 (*.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) eps) (*.f64 (*.f64 (sin.f64 x) -1/2) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))) 1)
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8))) (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))))
(/.f64 (*.f64 eps (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2)) (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8)) eps) (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) eps) (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))
(pow.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))) 1))
(+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(+.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) (*.f64 (sin.f64 x) -1/2))
(+.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) (+.f64 (*.f64 (sin.f64 x) -1/2) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (fma.f64 (*.f64 (sin.f64 x) -1/2) 1 (*.f64 (sin.f64 x) -1/2)))
(+.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (fma.f64 -1/2 (sin.f64 x) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) (sqrt.f64 (*.f64 (sin.f64 x) -1/2)) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (*.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) 1))
(+.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))
(+.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))
(*.f64 1 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))
(*.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (/.f64 1 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) (-.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (sqrt.f64 (*.f64 (sin.f64 x) -1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))) (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8))))
(/.f64 1 (/.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2)))
(/.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8)) (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2)) (neg.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 1/8)) (+.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) 1/64) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) (*.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (*.f64 (cos.f64 x) -1/8))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3) (pow.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) 3)) (+.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (-.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))) (*.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))) (-.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))
(pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 1))
(fma.f64 1 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) (*.f64 (sin.f64 x) -1/2))
(fma.f64 1 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (*.f64 eps (cos.f64 x)) -1/8 (*.f64 (sin.f64 x) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) 2) (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (*.f64 eps -1/8) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
Outputs
(*.f64 -1/2 (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/6 eps) (cos.f64 x))))
(*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 -1/6 (cos.f64 x)))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 -1/2 (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) 1/24) (*.f64 -1/6 (cos.f64 x))) (*.f64 -1/2 (sin.f64 x))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 3)))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) 1/24)))
(*.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) 1/24 (*.f64 -1/6 (/.f64 (cos.f64 x) eps))))
(*.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) 1/24 (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) 1/24))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 (sin.f64 x) 1/24 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 (sin.f64 x) 1/24 (*.f64 (cos.f64 x) (/.f64 -1/6 eps)))))
(*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)) (*.f64 1/24 (sin.f64 x)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) 1/24))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 (sin.f64 x) 1/24 (*.f64 -1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 eps 2)) (fma.f64 (sin.f64 x) 1/24 (*.f64 (cos.f64 x) (/.f64 -1/6 eps)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(*.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 3)))
(*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 3)))
(*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (sin.f64 x)) (*.f64 1/6 (/.f64 (cos.f64 x) eps)))))
(*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) 1/24)))
(*.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) 1/24 (*.f64 -1/6 (/.f64 (cos.f64 x) eps))))
(*.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) 1/24 (*.f64 (cos.f64 x) (/.f64 -1/6 eps))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x))) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x))) 2) (*.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 0) (*.f64 (sin.f64 x) 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2) (*.f64 (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))) (-.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8))) 2) (*.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) -1))) (-.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8))) 2) (*.f64 (pow.f64 (sin.f64 x) 2) 1)) (+.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (+.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) 0) (*.f64 (sin.f64 x) 1/2)))
(pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 1)
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 3)
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3) 1/3)
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2)
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 2))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)))))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) 3))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))))
(expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 1))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(fma.f64 1 (*.f64 eps (*.f64 (cos.f64 x) -1/8)) (*.f64 (sin.f64 x) -1/2))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(fma.f64 1 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (fma.f64 (sin.f64 x) -1/2 (*.f64 (sin.f64 x) -1)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 (sin.f64 x) -3/2))
(fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) -1/8 (*.f64 (sin.f64 x) -1/2))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (fma.f64 (sin.f64 x) -1/2 (*.f64 (sin.f64 x) -1)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 (sin.f64 x) -3/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) 2) (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) -1/2))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (fma.f64 (sin.f64 x) -1/2 (*.f64 (sin.f64 x) -1)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 (sin.f64 x) -3/2))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/8))) (*.f64 (sin.f64 x) -1/2))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))
(fma.f64 (*.f64 eps -1/8) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) -1/8)))
(fma.f64 eps (*.f64 (cos.f64 x) -1/8) (*.f64 -1/2 (sin.f64 x)))

eval186.0ms (1.1%)

Compiler

Compiled 9456 to 5671 computations (40% saved)

prune84.0ms (0.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2990299
Fresh000
Picked022
Done077
Total2999308
Accuracy
100.0%
Counts
308 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.3%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
100.0%
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
100.0%
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))))
99.8%
(*.f64 eps (cos.f64 x))
99.2%
(sin.f64 eps)
99.2%
eps
Compiler

Compiled 344 to 215 computations (37.5% saved)

regimes23.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 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 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))))
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 -1/6 (cos.f64 x) (*.f64 1/24 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) -1/2))))))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))))
Calls

3 calls:

11.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
x
5.0ms
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)

regimes19.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 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 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
Calls

3 calls:

7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
x
4.0ms
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)

regimes17.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
eps
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 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 (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 eps))))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
Outputs
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
Calls

3 calls:

7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
4.0ms
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)

regimes16.0ms (0.1%)

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

regimes16.0ms (0.1%)

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

3 calls:

7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
eps
4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
x
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)

regimes6.0ms (0%)

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

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
99.2%1x
99.2%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:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
062457
1111457
2132457
3144457
4152457
5154457
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 -1/6 (cos.f64 x))) (*.f64 (sin.f64 x) -1/2))))))))
(*.f64 eps (+.f64 (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) 1/24)) (*.f64 (cos.f64 x) -1/6)) (*.f64 (sin.f64 x) -1/2))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) -1/6) (*.f64 1/24 (*.f64 eps (sin.f64 x)))))))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (sin.f64 x))))) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 -1/8 (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) 1/2)))) (sin.f64 (*.f64 eps 1/2))) 2)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) -1/2) (*.f64 -1/6 (*.f64 eps (cos.f64 x)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 x -2))))))
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
Compiler

Compiled 132 to 91 computations (31.1% saved)

soundness391.0ms (2.4%)

Rules
978×log1p-expm1-u
978×expm1-log1p-u
922×fma-define
802×log-prod
726×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2246047
041356
1676356
038337
1552337
27065337
Stop Event
node limit
node limit
node limit
Compiler

Compiled 525 to 291 computations (44.6% saved)

end0.0ms (0%)

preprocess112.0ms (0.7%)

Compiler

Compiled 284 to 172 computations (39.4% saved)

Profiling

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