2tan (problem 3.3.2)

Time bar (total: 14.3s)

analyze49.0ms (0.3%)

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)

sample5.3s (37.3%)

Results
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Bogosity

preprocess161.0ms (1.1%)

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
2232(-4.1750748727474374e-85 4.104607568360056e-87)4(7.499362938049059e-169 8.208803684063087e-171)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
00-0-x
00-0-(tan.f64 (+.f64 x eps))
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
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 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 (neg.f64 x) eps)) (tan.f64 (neg.f64 x))))
(-.f64 (tan.f64 (-.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 (+.f64 x (neg.f64 eps))) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 x) (tan.f64 (-.f64 eps x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize39.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(tan.f64 (+.f64 x eps))
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

series21.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
x
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

rewrite220.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1766×prod-diff
929×log1p-expm1-u
929×expm1-log1p-u
684×fma-define
338×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
115647
2234647
Stop Event
node limit
Counts
2 → 117
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
Outputs
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (fma.f64 (tan.f64 (+.f64 x eps)) 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(fma.f64 (tan.f64 (+.f64 x eps)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (tan.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 1 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 -1 (tan.f64 x) (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))

simplify121.0ms (0.9%)

Algorithm
egg-herbie
Rules
1004×distribute-lft-in
994×distribute-rgt-in
928×associate-+l+
856×associate-+r+
518×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033210611
18229946
226469529
Stop Event
node limit
Counts
165 → 192
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 -1 (tan.f64 x) (tan.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 1/2 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))))
(+.f64 (fma.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 (neg.f64 (pow.f64 x 3)) (+.f64 1/2 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 3) (+.f64 1/2 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 1/6 (-.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))))))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))

eval78.0ms (0.5%)

Compiler

Compiled 5754 to 2641 computations (54.1% saved)

prune34.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New18210192
Fresh000
Picked011
Done000
Total18211193
Accuracy
100.0%
Counts
193 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
98.9%
(/.f64 (sin.f64 eps) (cos.f64 eps))
61.1%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.7%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
25.3%
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
99.4%
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
99.8%
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))
99.7%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
60.2%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
24.2%
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
Compiler

Compiled 345 to 232 computations (32.8% saved)

localize307.0ms (2.1%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(tan.f64 (+.f64 x eps))
98.9%
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
98.9%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)
100.0%
(tan.f64 (+.f64 x eps))
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
35.5%
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
100.0%
(tan.f64 (+.f64 x eps))
90.8%
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
100.0%
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
100.0%
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
100.0%
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))
100.0%
(pow.f64 (cos.f64 x) 2)
Compiler

Compiled 273 to 107 computations (60.8% saved)

series134.0ms (0.9%)

Counts
10 → 168
Calls

48 calls:

TimeVariablePointExpression
53.0ms
eps
@0
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
6.0ms
eps
@0
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)
6.0ms
eps
@0
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
4.0ms
x
@-inf
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
4.0ms
eps
@0
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))

rewrite133.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
446×associate-*r*
290×associate-*l*
261×log1p-expm1-u
261×expm1-log1p-u
251×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035407
1588327
Stop Event
node limit
Counts
10 → 357
Calls
Call 1
Inputs
(pow.f64 (cos.f64 x) 2)
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) 1) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))
(+.f64 eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) eps))
(+.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps))
(+.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)))
(+.f64 (*.f64 eps 1) (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))))
(+.f64 (*.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) 1) (*.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) 1))
(+.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps) 1) (*.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) 3)) (+.f64 (*.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2))) (*.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) 3)) (+.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps)) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2))) (*.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (*.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)))) (-.f64 (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2)))) (-.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (pow.f64 eps 2))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 3))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2) (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (-.f64 (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2) (pow.f64 (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 2))) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) 3)) eps) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2) (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (-.f64 (*.f64 eps (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
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(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1))
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (*.f64 (tan.f64 x) 1))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (*.f64 (tan.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) 1))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (*.f64 (tan.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (*.f64 (tan.f64 x) 1))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (*.f64 (tan.f64 x) 1)))
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1) (*.f64 (neg.f64 (tan.f64 x)) 1))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 3))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/9)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))

simplify656.0ms (4.6%)

Algorithm
egg-herbie
Rules
1090×fma-define
920×*-commutative
600×fma-neg
584×distribute-rgt-in
582×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096117179912350
1244317179909455
2735817179909407
Stop Event
node limit
Counts
525 → 467
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 eps) (*.f64 -1/2 eps)))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
x
(+.f64 x (*.f64 4/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 17/15 (pow.f64 x 5)) (*.f64 4/3 (pow.f64 x 3))))
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(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
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eps
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(+.f64 eps (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (*.f64 1/3 (pow.f64 eps 3))))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
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(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (pow.f64 x 2) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (fma.f64 1/3 (pow.f64 x 4) (*.f64 -2/45 (pow.f64 x 6))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 x (pow.f64 eps 2)))
(fma.f64 x (pow.f64 eps 2) eps)
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (fma.f64 eps (pow.f64 x 2) (*.f64 x (pow.f64 eps 2))))
(+.f64 eps (fma.f64 x (pow.f64 eps 2) (*.f64 (pow.f64 x 2) eps)))
(+.f64 eps (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 eps) (*.f64 -1/2 eps)))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 eps (fma.f64 eps (*.f64 (pow.f64 x 3) (*.f64 eps 4/3)) (fma.f64 eps (pow.f64 x 2) (*.f64 x (pow.f64 eps 2)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) (*.f64 eps 4/3)) (pow.f64 x 2))) (fma.f64 x (pow.f64 eps 2) eps))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
x
(+.f64 x (*.f64 4/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) 4/3))
(fma.f64 (pow.f64 x 3) 4/3 x)
(+.f64 x (+.f64 (*.f64 17/15 (pow.f64 x 5)) (*.f64 4/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 17/15 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 4/3)))
(+.f64 x (fma.f64 (pow.f64 x 3) 4/3 (*.f64 17/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 248/315 (pow.f64 x 7)) (+.f64 (*.f64 17/15 (pow.f64 x 5)) (*.f64 4/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 248/315 (pow.f64 x 7) (fma.f64 17/15 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 4/3))))
(+.f64 (fma.f64 248/315 (pow.f64 x 7) (*.f64 17/15 (pow.f64 x 5))) (fma.f64 (pow.f64 x 3) 4/3 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (pow.f64 x 2))
(fma.f64 (pow.f64 x 4) 2/3 (pow.f64 x 2))
(+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 (pow.f64 x 6) 17/45 (fma.f64 (pow.f64 x 4) 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 62/315 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 (pow.f64 x 4) 2/3 (pow.f64 x 2))))
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 eps (fma.f64 2/15 (pow.f64 eps 5) (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (*.f64 1/3 (pow.f64 eps 3)))))
(+.f64 eps (fma.f64 17/315 (pow.f64 eps 7) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 1/3 (pow.f64 eps 3)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
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(fma.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/2 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))) (fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 1/6 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
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(-.f64 (-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 (+.f64 1/6 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) -1/3)))) (*.f64 (pow.f64 eps 3) (+.f64 1/6 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(+.f64 (*.f64 x (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 3))))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (pow.f64 x 2) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 3))))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (pow.f64 x 2) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (pow.f64 x 2) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(+.f64 (*.f64 x (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 3))))) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 4))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 eps) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (cos.f64 eps))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 3))))) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (pow.f64 x 2) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 3))))) (fma.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1/2 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (fma.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 4) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 4))) (+.f64 (*.f64 (sin.f64 eps) (/.f64 (fma.f64 -2 (/.f64 (*.f64 (sin.f64 eps) (+.f64 1/2 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (*.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 3))))) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (fma.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (pow.f64 x 2) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (fma.f64 (pow.f64 x 3) (-.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -2 (*.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (-.f64 1/2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (-.f64 1/2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))
(fma.f64 x (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (pow.f64 x 2) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (fma.f64 (pow.f64 x 3) (-.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (*.f64 -2 (*.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (-.f64 1/2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (fma.f64 2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (-.f64 1/2 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
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(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 2)
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

eval1.4s (10%)

Compiler

Compiled 80444 to 41382 computations (48.6% saved)

prune234.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New228082288
Fresh325
Picked415
Done011
Total2287122299
Accuracy
100.0%
Counts
2299 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.6%
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
99.3%
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
99.0%
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
99.8%
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps x)))
99.7%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
99.8%
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
98.9%
(tan.f64 eps)
6.6%
(log.f64 (exp.f64 (tan.f64 eps)))
24.2%
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
98.9%
eps
Compiler

Compiled 257 to 185 computations (28% saved)

localize504.0ms (3.5%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(sin.f64 (+.f64 x eps))
100.0%
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
61.1%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
6.8%
(log.f64 (exp.f64 (tan.f64 eps)))
100.0%
(pow.f64 eps 2)
99.9%
(*.f64 (pow.f64 eps 2) x)
100.0%
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
100.0%
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
100.0%
(pow.f64 (tan.f64 x) 2)
99.8%
(+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
Compiler

Compiled 182 to 77 computations (57.7% saved)

series42.0ms (0.3%)

Counts
10 → 156
Calls

48 calls:

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

rewrite245.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
452×log1p-expm1-u
396×associate-*r*
288×associate-*l*
246×expm1-log1p-u
239×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031285
1527250
27889250
Stop Event
node limit
Counts
10 → 319
Calls
Call 1
Inputs
(+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
(pow.f64 (tan.f64 x) 2)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
(*.f64 (pow.f64 eps 2) x)
(pow.f64 eps 2)
(log.f64 (exp.f64 (tan.f64 eps)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
Outputs
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))) (/.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))))
(*.f64 1 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))))
(*.f64 (hypot.f64 (tan.f64 x) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) eps)) (hypot.f64 1 (tan.f64 x)))) (hypot.f64 (tan.f64 x) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) eps)) (hypot.f64 1 (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3) (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (-.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (pow.f64 (tan.f64 x) 2))))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 2)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (-.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3) (pow.f64 (tan.f64 x) 6))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3) (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (-.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3) (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 2) (-.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 3) (pow.f64 (tan.f64 x) 6))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (-.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (pow.f64 (tan.f64 x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 2))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) 2) (pow.f64 (tan.f64 x) 4)) (-.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (pow.f64 (tan.f64 x) 2)))
(pow.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))) 3)
(pow.f64 (pow.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2)) 3) 1/3)
(pow.f64 (hypot.f64 (tan.f64 x) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) eps)) (hypot.f64 1 (tan.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2)) 2))
(log.f64 (exp.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2)) 3))
(expm1.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))) 1))
(fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(fma.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (pow.f64 (tan.f64 x) 2))
(fma.f64 1 (pow.f64 (tan.f64 x) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(fma.f64 1 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))) (pow.f64 (tan.f64 x) 2))
(fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) eps (pow.f64 (tan.f64 x) 2))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 2) (cbrt.f64 (*.f64 eps (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) (pow.f64 (tan.f64 x) 2))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) eps)) (hypot.f64 1 (tan.f64 x))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) eps)) (hypot.f64 1 (tan.f64 x))) (pow.f64 (tan.f64 x) 2))
(fma.f64 (*.f64 (tan.f64 x) eps) (+.f64 (pow.f64 (tan.f64 x) 2) 1) (pow.f64 (tan.f64 x) 2))
(-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (tan.f64 x)))
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (tan.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))
(cbrt.f64 (pow.f64 (tan.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))
(+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3))
(+.f64 (tan.f64 x) (*.f64 (pow.f64 (tan.f64 x) 3) 1))
(+.f64 (pow.f64 (tan.f64 x) 3) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)))) 1)
(/.f64 1 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) 2) 1))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (/.f64 1 (tan.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (*.f64 (/.f64 1 (tan.f64 x)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (*.f64 (/.f64 1 (tan.f64 x)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (*.f64 (cos.f64 x) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (sin.f64 x)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (cos.f64 x)))
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(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (tan.f64 x))) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 1 (tan.f64 x))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 1)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (/.f64 1 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(*.f64 1 (tan.f64 (+.f64 x eps)))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 x eps))
(+.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 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.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)) (+.f64 (*.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)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 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)))))
(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)))

simplify347.0ms (2.4%)

Algorithm
egg-herbie
Rules
868×associate-*r*
848×fma-define
816×associate-*l*
644×*-commutative
536×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090926836
1232025188
Stop Event
node limit
Counts
475 → 538
Calls
Call 1
Inputs
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 eps) (*.f64 -1/2 eps))) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 eps) (*.f64 -1/2 eps))) (pow.f64 x 2))))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
x
(+.f64 x (*.f64 4/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 17/15 (pow.f64 x 5)) (*.f64 4/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 248/315 (pow.f64 x 7)) (+.f64 (*.f64 17/15 (pow.f64 x 5)) (*.f64 4/3 (pow.f64 x 3)))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
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eps
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eps
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 x eps))
(+.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 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.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)) (+.f64 (*.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)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 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)))))
(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)))
Outputs
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(fma.f64 eps x (pow.f64 x 2))
(*.f64 x (+.f64 eps x))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 eps) (*.f64 -1/2 eps))) (pow.f64 x 2)))
(fma.f64 eps x (fma.f64 (pow.f64 x 3) (*.f64 eps 4/3) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 5/6 eps) (*.f64 -1/2 eps))) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 eps x (fma.f64 (pow.f64 x 3) (*.f64 eps 4/3) (pow.f64 x 2))))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
x
(+.f64 x (*.f64 4/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) 4/3))
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eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 eps (fma.f64 2/15 (pow.f64 eps 5) (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (*.f64 2/15 (pow.f64 eps 5)))
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(+.f64 eps (fma.f64 17/315 (pow.f64 eps 7) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 1/3 (pow.f64 eps 3)))))
(+.f64 (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5))) (fma.f64 1/3 (pow.f64 eps 3) eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))))))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(tan.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(tan.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(tan.f64 (+.f64 eps x))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(tan.f64 (+.f64 eps x))
(neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(tan.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 eps x))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x))))
(*.f64 1 (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.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 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 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 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))
(/.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)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))))
(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))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(fabs.f64 (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))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (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 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))

eval224.0ms (1.6%)

Compiler

Compiled 14329 to 7262 computations (49.3% saved)

prune97.0ms (0.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5805585
Fresh415
Picked325
Done022
Total58710597
Accuracy
100.0%
Counts
597 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.3%
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
99.0%
(+.f64 eps (*.f64 (*.f64 eps eps) x))
99.8%
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
99.8%
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
99.3%
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
99.0%
(*.f64 eps (+.f64 1 (*.f64 eps x)))
24.2%
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
98.9%
eps
Compiler

Compiled 196 to 133 computations (32.1% saved)

localize792.0ms (5.5%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
100.0%
(pow.f64 (tan.f64 x) 2)
99.8%
(+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))
100.0%
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
99.8%
(*.f64 x (+.f64 eps x))
99.9%
(*.f64 (*.f64 eps eps) x)
100.0%
(*.f64 eps (+.f64 1 (*.f64 eps x)))
100.0%
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps)))
100.0%
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
100.0%
(pow.f64 (tan.f64 x) 2)
53.8%
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)
Compiler

Compiled 198 to 90 computations (54.5% saved)

series57.0ms (0.4%)

Counts
9 → 216
Calls

54 calls:

TimeVariablePointExpression
10.0ms
eps
@0
(*.f64 eps (+.f64 1 (*.f64 eps x)))
5.0ms
eps
@-inf
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
1.0ms
x
@inf
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)
1.0ms
x
@-inf
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)
1.0ms
eps
@0
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)

rewrite117.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
504×associate-*r*
277×log1p-expm1-u
277×expm1-log1p-u
275×add-cube-cbrt
271×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031348
1590312
Stop Event
node limit
Counts
9 → 287
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps)))
(*.f64 eps (+.f64 1 (*.f64 eps x)))
(*.f64 (*.f64 eps eps) x)
(*.f64 x (+.f64 eps x))
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
(+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
Outputs
(+.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 (*.f64 (*.f64 (tan.f64 x) eps) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) -1))
(+.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (*.f64 (tan.f64 x) eps)) -1))
(+.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 (*.f64 (*.f64 (tan.f64 x) eps) (+.f64 (pow.f64 (tan.f64 x) 2) 1)) 1))
(+.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (*.f64 (tan.f64 x) eps)) 1))
(+.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) -1)
(*.f64 1 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) -1)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) -1)) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) -1)))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 2) (+.f64 1 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 2) -1) (/.f64 1 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) 1)))
(*.f64 (+.f64 (*.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 x) eps 1))) 1) (-.f64 (*.f64 (hypot.f64 1 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 x) eps 1))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 2) (+.f64 1 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)))) (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) 1) (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 3) -1) (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)) 2) (+.f64 1 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1)))))
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(fma.f64 1 (*.f64 x eps) (pow.f64 (tan.f64 x) 2))
(fma.f64 eps x (pow.f64 (tan.f64 x) 2))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (pow.f64 (tan.f64 x) 2))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (pow.f64 (tan.f64 x) 2))
(+.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(+.f64 eps (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) 1))
(+.f64 eps (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 1))
(+.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) eps)
(+.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (*.f64 x (pow.f64 eps 2)))
(+.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps) (*.f64 x (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))) (*.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))) (-.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))) (-.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))))
(pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (log.f64 eps)) 1))
(fma.f64 1 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(fma.f64 eps 1 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))

simplify287.0ms (2%)

Algorithm
egg-herbie
Rules
862×associate-*r*
746×associate-*l*
702×fma-define
680×distribute-rgt-in
650×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072927894
1196926396
2707926198
Stop Event
node limit
Counts
503 → 459
Calls
Call 1
Inputs
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps))) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps))) (pow.f64 x 2))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps)))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 eps x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps))) (pow.f64 x 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(*.f64 (pow.f64 eps 2) x)
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
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(fma.f64 (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) -1)) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (fma.f64 (tan.f64 x) eps 1) -1)) 1)
(fma.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)) (*.f64 (*.f64 (tan.f64 x) eps) (+.f64 (pow.f64 (tan.f64 x) 2) 1)))
(+.f64 eps (*.f64 x (pow.f64 eps 2)))
(+.f64 eps (*.f64 (*.f64 x (pow.f64 eps 2)) 1))
(+.f64 (*.f64 x (pow.f64 eps 2)) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x eps 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (pow.f64 eps 2)) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)) (*.f64 eps (*.f64 x (pow.f64 eps 2))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 eps 4) (pow.f64 x 2))) (-.f64 eps (*.f64 x (pow.f64 eps 2))))
(pow.f64 (*.f64 eps (fma.f64 x eps 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x eps 1))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x eps 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x eps 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x eps 1)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x eps 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x eps 1)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x eps 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x eps 1) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x eps 1))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x eps 1))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x eps 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x eps 1))) 1))
(fma.f64 1 eps (*.f64 x (pow.f64 eps 2)))
(fma.f64 eps 1 (*.f64 x (pow.f64 eps 2)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 x (pow.f64 eps 2)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2)))) 1)
(pow.f64 (*.f64 x (pow.f64 eps 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 eps 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3) 1/3)
(pow.f64 (*.f64 eps (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 eps 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 eps 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 eps 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 eps 2))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 eps 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 eps 2))) 1))
(exp.f64 (+.f64 (log.f64 (*.f64 x eps)) (log.f64 eps)))
(+.f64 (*.f64 x eps) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 x eps))
(+.f64 (*.f64 (*.f64 x eps) 1) (*.f64 (pow.f64 x 2) 1))
(-.f64 (fma.f64 x (+.f64 x eps) 1) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 x 2) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (*.f64 x eps) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (pow.f64 x 2) (pow.f64 x 2))) (-.f64 (*.f64 x eps) (pow.f64 x 2)))
(pow.f64 (*.f64 x (+.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x eps))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x eps))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x eps))) 1))
(fma.f64 x eps (pow.f64 x 2))
(fma.f64 1 (*.f64 x eps) (pow.f64 x 2))
(fma.f64 eps x (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (pow.f64 x 2))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (pow.f64 x 2))
(+.f64 eps (*.f64 eps (*.f64 x (+.f64 x eps))))
(+.f64 eps (*.f64 (*.f64 x (+.f64 x eps)) eps))
(+.f64 eps (*.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) 1))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 x eps))) 1))
(+.f64 (*.f64 eps (*.f64 x (+.f64 x eps))) eps)
(+.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1)))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) (*.f64 (*.f64 x (+.f64 x eps)) eps)) (*.f64 eps (*.f64 (*.f64 x (+.f64 x eps)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (+.f64 x eps))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (*.f64 x (+.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 x eps)))) (*.f64 eps (*.f64 eps (*.f64 x (+.f64 x eps)))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) (*.f64 (*.f64 x (+.f64 x eps)) eps))) (-.f64 eps (*.f64 (*.f64 x (+.f64 x eps)) eps)))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (*.f64 x (+.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 x eps))))) (-.f64 eps (*.f64 eps (*.f64 x (+.f64 x eps)))))
(pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x (+.f64 x eps) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x (+.f64 x eps) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 x eps) 1) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (+.f64 x eps) 1))) 1))
(fma.f64 1 eps (*.f64 (*.f64 x (+.f64 x eps)) eps))
(fma.f64 eps 1 (*.f64 eps (*.f64 x (+.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (*.f64 x (+.f64 x eps)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 x (+.f64 x eps)) eps))
(-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)) 1)
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 4) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x eps))) (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x eps))))
(*.f64 1 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 2) (cbrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(*.f64 (hypot.f64 (tan.f64 x) (sqrt.f64 (*.f64 x eps))) (hypot.f64 (tan.f64 x) (sqrt.f64 (*.f64 x eps))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (*.f64 x eps) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (tan.f64 x) 2))))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 x eps) 2)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (*.f64 x eps) 3))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x eps)) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 x eps) 2))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 x eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (*.f64 x eps) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (tan.f64 x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 x eps) 2))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x eps) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (tan.f64 x) 4)) (-.f64 (*.f64 x eps) (pow.f64 (tan.f64 x) 2)))
(pow.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) 3) 1/3)
(pow.f64 (hypot.f64 (tan.f64 x) (sqrt.f64 (*.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) 2))
(log.f64 (exp.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(log1p.f64 (expm1.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 1))
(fma.f64 x eps (pow.f64 (tan.f64 x) 2))
(fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 x eps))
(fma.f64 1 (pow.f64 (tan.f64 x) 2) (*.f64 x eps))
(fma.f64 1 (*.f64 x eps) (pow.f64 (tan.f64 x) 2))
(fma.f64 eps x (pow.f64 (tan.f64 x) 2))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (pow.f64 (tan.f64 x) 2))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (pow.f64 (tan.f64 x) 2))
(+.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(+.f64 eps (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) 1))
(+.f64 eps (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 1))
(+.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) eps)
(+.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) eps)
(+.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (*.f64 x (pow.f64 eps 2)))
(+.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps) (*.f64 x (pow.f64 eps 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))))) 1)
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))) (*.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))) (-.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))) (-.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))))
(pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (log.f64 eps)) 1))
(fma.f64 1 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(fma.f64 eps 1 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
Outputs
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 x (+.f64 eps x))
(+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps))) (pow.f64 x 2)))
(fma.f64 eps x (fma.f64 (pow.f64 x 3) (*.f64 4/3 eps) (pow.f64 x 2)))
(fma.f64 eps x (fma.f64 (pow.f64 x 3) (*.f64 eps 4/3) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps))) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 eps x (fma.f64 (pow.f64 x 3) (*.f64 4/3 eps) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 eps x (fma.f64 (pow.f64 x 3) (*.f64 eps 4/3) (pow.f64 x 2))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
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(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))
(/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 2)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(fma.f64 x (pow.f64 eps 2) eps)
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (fma.f64 eps (pow.f64 x 2) (*.f64 x (pow.f64 eps 2))))
(*.f64 eps (fma.f64 x (+.f64 eps x) 1))
(+.f64 eps (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps)))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 eps (fma.f64 eps (*.f64 (pow.f64 x 3) (*.f64 4/3 eps)) (fma.f64 eps (pow.f64 x 2) (*.f64 x (pow.f64 eps 2)))))
(+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) (*.f64 eps 4/3))) (*.f64 eps (fma.f64 x (+.f64 eps x) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
(*.f64 eps (*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1)))
1
(+.f64 1 (*.f64 eps x))
(fma.f64 x eps 1)
(fma.f64 eps x 1)
(+.f64 1 (+.f64 (*.f64 eps x) (pow.f64 x 2)))
(fma.f64 x (+.f64 eps x) 1)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 eps (*.f64 1/3 eps))) (pow.f64 x 2))))
(+.f64 (fma.f64 eps x (fma.f64 (pow.f64 x 3) (*.f64 4/3 eps) (pow.f64 x 2))) 1)
(+.f64 (fma.f64 x (+.f64 eps x) 1) (*.f64 (pow.f64 x 3) (*.f64 eps 4/3)))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (+.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)) 1) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))))
(+.f64 1 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (fma.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2))) 3)) (+.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2))) (-.f64 (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2))) eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 3) 1) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (pow.f64 eps 2) (-.f64 (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 2) (fma.f64 eps x (pow.f64 (tan.f64 x) 2))))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) 3)) (+.f64 (pow.f64 eps 2) (-.f64 (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))) (*.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2))) 3)) (+.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2))) (-.f64 (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2))) eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 3) 1) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (pow.f64 eps 2) (-.f64 (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 2) (fma.f64 eps x (pow.f64 (tan.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))) (-.f64 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps)))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 eps 2) (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 2))) (-.f64 eps (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 2)))) (-.f64 eps (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))) (-.f64 eps (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 eps 2) (*.f64 (pow.f64 eps 2) (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 2))) (-.f64 eps (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) 2)))) (-.f64 eps (*.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)))))
(pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 1)
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))) 3)
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 3) 1/3)
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))) 2)
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 2))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) eps))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))))))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1))) 3))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)) 3)))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)) 3) (pow.f64 eps 3)))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))))
(expm1.f64 (log1p.f64 (fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 x eps 1)))))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(exp.f64 (+.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (log.f64 eps)))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2))) (log.f64 eps)) 1))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 1 eps (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 eps 1 (*.f64 eps (fma.f64 x eps (pow.f64 (tan.f64 x) 2))))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (fma.f64 x eps (pow.f64 (tan.f64 x) 2)) eps))
(fma.f64 eps (fma.f64 eps x (pow.f64 (tan.f64 x) 2)) eps)

eval256.0ms (1.8%)

Compiler

Compiled 14624 to 8683 computations (40.6% saved)

prune98.0ms (0.7%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New6461647
Fresh101
Picked055
Done044
Total64710657
Accuracy
100.0%
Counts
657 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.3%
(+.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) eps)
99.0%
(+.f64 eps (*.f64 (*.f64 eps eps) x))
99.8%
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
99.8%
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
99.3%
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
99.0%
(*.f64 eps (+.f64 1 (*.f64 eps x)))
24.2%
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
98.9%
eps
Compiler

Compiled 406 to 224 computations (44.8% saved)

regimes173.0ms (1.2%)

Counts
25 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 1 (*.f64 eps x)))
(+.f64 eps (*.f64 (*.f64 eps eps) x))
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) eps)
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
(log.f64 (exp.f64 (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps x)))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
Outputs
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
Calls

3 calls:

155.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms
x
8.0ms
eps
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 1 (*.f64 eps x)))
(+.f64 eps (*.f64 (*.f64 eps eps) x))
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) eps)
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
(log.f64 (exp.f64 (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps x)))
Outputs
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
Calls

3 calls:

12.0ms
eps
8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 1 (*.f64 eps x)))
(+.f64 eps (*.f64 (*.f64 eps eps) x))
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) eps)
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
(+.f64 eps (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) x)))
(log.f64 (exp.f64 (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
Outputs
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
Calls

3 calls:

6.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

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

3 calls:

5.0ms
eps
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
99.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

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

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

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

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
99.0%1x
99.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

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

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
99.0%1eps
99.0%1x
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
98.9%1x
98.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
28×*-commutative
28×+-commutative
unsub-neg
sub-neg
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045345
178345
282345
385345
488345
591345
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) eps)
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
(+.f64 eps (*.f64 (*.f64 eps eps) x))
(*.f64 eps (+.f64 1 (*.f64 eps x)))
eps
Outputs
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))))
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) (+.f64 1 (*.f64 (tan.f64 x) eps))) 1)))
(*.f64 eps (+.f64 1 (-.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 eps (tan.f64 x)))) 1)))
(*.f64 eps (+.f64 1 (+.f64 (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (*.f64 eps (tan.f64 x)))) -1)))
(*.f64 eps (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 eps x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x eps)) eps) eps)
(+.f64 eps (*.f64 eps (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 1 (*.f64 x (+.f64 eps x))))
(+.f64 eps (*.f64 (*.f64 eps eps) x))
(+.f64 eps (*.f64 x (*.f64 eps eps)))
(*.f64 eps (+.f64 1 (*.f64 eps x)))
eps
Compiler

Compiled 103 to 70 computations (32% saved)

soundness1.8s (12.5%)

Rules
1090×fma-define
1004×distribute-lft-in
994×distribute-rgt-in
928×associate-+l+
920×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033210611
18229946
226469529
035407
1588327
096117179912350
1244317179909455
2735817179909407
031285
1527250
27889250
090926836
1232025188
031348
1590312
031285
1527250
27889250
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 743 to 445 computations (40.1% saved)

end0.0ms (0%)

preprocess220.0ms (1.5%)

Compiler

Compiled 220 to 130 computations (40.9% saved)

Profiling

Loading profile data...